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zO!Z3bhypM2=Sh_D8Nx#ub`B3+1=4?<}5|37Wtmo(?BLT#)KDFnbH!)7DK|#!* zPK@aXcnGOfegxW@bT@=Ve8n5k@K4msY>eHFDK9J|tBxF|B zr!d`%v=D0llvndh5ymY3{L8hS8o>YM*NA7ky8oHw{FUVj0&ID8ve}(0Ai$i&K;PFF zySLg-3s_^n+k`XY_jHFtYVlwg8l4^!o(HOD`?!uQs*JwnJWCpFWKd5B(4y@%6FE6d z02nNTkfm{{OVVrw+)7ehhQ#^c0-4ZlTkHj%tWe)`ZI(mfsx|b@wk{g4c|MB$>NavE z-h5BWR}VU24LSM%NQ8Cfx*!k?$jPz{W(v4Lngn+7k_a^p3kIkbI8RfaVv;*dKax@- z_cHFiE%&e@hG>IG6ndW5b_M-GT;KTi4)uaMNBN`}@SK~+3WYL+a?(~?ZSAWYg{MKx zZ&(#-Qwf5Pd))z8hN_+F==kLcE*;?ca~ZTET}EOW8T4LbjA;3!@TLZN$~nL5g#C~+k{l51+$A$Pj8Mw^WNIOKP6r(qNk?TMK+TJ z1ZkCTKczlWhN>i-(Tx8h`7DKiwVqdHfagDN9=pV)Y_)YLDJ1zD5Q^tj#pUCiE5J_w zutU4L5t1n4aLrLelJIR`L2uvYU*A3e9k&B}R}CfaF8i|?tVx8odeUdx0v$i>HfFeM z`<=v%rca3i|WYKjVRx{GZJ2|MxE` c3r|U9@- +

Flowsheet

+

+To create a flowsheet model for a hydropower system in OpenModelica using OpenHPL, +follow these steps: +

+ +
Step 1: Create New Model
+

+Create a new Modelica class specified as \"Model\" and assigna name. Open with \"Diagram view\". +

+ +
Step 2: Add Components
+

+Drag and drop needed elements for the hydropower structure from OpenHPL, provide names +for each element, and connect their connectors. +

+ +
Step 3: Add Data Record
+

+Insert the Data record model from OpenHPL with name \"data\" to control +common constants and properties for all hydropower elements, such as typical initial flow rates. +

+ +
Step 4: Specify Parameters
+

+Specify each element with appropriate geometry parameters. +

+ +
Step 5: Provide Control Signal
+

+Provide a control signal for the turbine either by: +

+
    +
  • Adding a source signal from standard Modelica library (e.g., Modelica.Blocks.Sources.Ramp)
  • +
  • Creating an input variable and equating it to the turbine control input
  • +
+ +
Step 6: Simulate
+

+Specify simulation setup values, save in the model, and run the simulation. +

+ +
Screenshots
+

+Refer to the original User's Guide PDF for detailed screenshots showing each step. +

+")); +end Flowsheet; diff --git a/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo b/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo new file mode 100644 index 00000000..0f1c429b --- /dev/null +++ b/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo @@ -0,0 +1,66 @@ +within OpenHPL.UsersGuide.BasicExample; +class OMPythonAPI "Using OMPython API" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

OMPython API

+

+To run simulations of a hydropower model from Python using the OMPython API for OpenModelica: +

+ +
Step 1: Import and Create Object
+

+Import the \"Modelica system\" environment and create an object of the OpenModelica model: +

+
+from OMPython import ModelicaSystem
+hps_s = ModelicaSystem(\"OpenHPL_example.mo\", \"OpenHPL_example\", 
+                      [\"Modelica\", \"OpenHPL/package.mo\"])
+
+ +
Step 2: Set Simulation Options
+

+Specify simulation options, parameters, and input variables: +

+
+hps_s.setSimulationOptions(stepSize=0.1, stopTime=1000)
+hps_s.getSimulationOptions()  # get list of options
+hps_s.getParameters()  # get list of parameters
+hps_s.setParameters(**{\"turbine.H_n\":460})  # set parameter
+hps_s.getInputs()  # get list of inputs
+hps_s.setInputs(u=[(0,0.75),(100,0.75),(101,0.7),(1000,0.7)])  # ramp signal
+
+ +
Step 3: Run and Get Results
+

+Run simulation and retrieve results: +

+
+hps_s.simulate()
+hps_s.getSolutions()  # get list of solution variables
+time, Vdot, p_tr1, p_tr2 = hps_s.getSolutions(\"time\", \"turbine.Vdot\", 
+                                               \"turbine.p_tr1\", \"turbine.p_tr2\")
+
+

+Results can be plotted using matplotlib package. +

+ +
Step 4: Linearization (Optional)
+

+Linearize the model for further analysis: +

+
+hps_s.setLinearizationOptions(stopTime=0.1)
+hps_s.getLinearizationOptions()
+As,Bs,Cs,Ds = hps_s.linearize()  # get A, B, C, D matrices
+hps_s.getLinearStates()
+hps_s.getLinearInputs()
+hps_s.getLinearOutputs()
+
+ +

+Note: Similar functionality is available with OMJulia API for Julia. See OMJulia documentation +for details. +

+")); +end OMPythonAPI; diff --git a/OpenHPL/UsersGuide/BasicExample/package.mo b/OpenHPL/UsersGuide/BasicExample/package.mo new file mode 100644 index 00000000..5e53cefe --- /dev/null +++ b/OpenHPL/UsersGuide/BasicExample/package.mo @@ -0,0 +1,12 @@ +within OpenHPL.UsersGuide; +package BasicExample "Basic Usage Example" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Basic Example

+

+A basic step-by-step example is provided here to show how to connect and specify elements from +OpenHPL in a flowsheet, and how to set up the OMPython API for simulation and analysis. +

+")); +end BasicExample; diff --git a/OpenHPL/UsersGuide/BasicExample/package.order b/OpenHPL/UsersGuide/BasicExample/package.order new file mode 100644 index 00000000..1bb9ff3d --- /dev/null +++ b/OpenHPL/UsersGuide/BasicExample/package.order @@ -0,0 +1,2 @@ +Flowsheet +OMPythonAPI diff --git a/OpenHPL/UsersGuide/Examples/HPDetailed.mo b/OpenHPL/UsersGuide/Examples/HPDetailed.mo new file mode 100644 index 00000000..9216740b --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPDetailed.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPDetailed "HPDetailed example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPDetailed

+

+In this model of the hydropower system, the simplified models are used for conduits and turbine modelling, except for +the penstock that is modelled with the more detailed PenstockKP unit. The generator is not included in the model. +The simple Pipe unit is used to represent the intake and discharge races. The simple Turbine unit is +used to represent the turbine. The Reservoir unit is used to represent the reservoir and the tailwater (here, +this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the +Sundsbarm hydropower plant is used for this example model. +

+", revisions="")); +end HPDetailed; diff --git a/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo b/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo new file mode 100644 index 00000000..4be4b6cc --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPDetailedFrancis "HPDetailed_Francis example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPDetailed_Francis

+

+In this model of the hydropower system, the simplified model is used for conduits modelling, except for the penstock +that is modelled with the more detailed PenstockKP unit. The turbine and generator are modelled with more +detailed Francis and SynchGen units, respectively. The simple Pipe unit is used to represent +the intake and discharge races. The Reservoir unit is used to represent the reservoir and the tailwater (here, +this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the +Sundsbarm hydropower plant is used for this example model. +

+", revisions="")); +end HPDetailedFrancis; diff --git a/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo b/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo new file mode 100644 index 00000000..b9654b05 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPDetailedGenerator "HPDetailed_generator example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPDetailed_generator

+

+In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling, +except for the penstock that is modelled with the more detailed PenstockKP unit. The simple Pipe unit +is used to represent the intake and discharge races. The simple Turbine unit is used to represent the turbine. +The SimpleGen unit is used to represent the generator. The Reservoir unit is used to represent the +reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth +in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. +

+", revisions="")); +end HPDetailedGenerator; diff --git a/OpenHPL/UsersGuide/Examples/HPSimple.mo b/OpenHPL/UsersGuide/Examples/HPSimple.mo new file mode 100644 index 00000000..aa4901cc --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimple.mo @@ -0,0 +1,14 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimple "HPSimple example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple

+

+In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator +is not included in the model. The simple Pipe unit is used to represent the penstock, intake and discharge races. +The simple Turbine unit is used to represent the turbine. The Reservoir unit is used to represent the +reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth +in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. +

+", revisions="")); +end HPSimple; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo new file mode 100644 index 00000000..9dae1297 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo @@ -0,0 +1,14 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleFrancis "HPSimple_Francis example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_Francis

+

+In this model of the hydropower system, the simplified model is used for conduits modelling. The turbine and the generator +are modelled with more detailed Francis and SynchGen units, respectively. The simple Pipe +unit is used to represent the penstock, intake and discharge races. The Reservoir unit is used to represent the +reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth +in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. +

+", revisions="")); +end HPSimpleFrancis; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo new file mode 100644 index 00000000..bddb11fc --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleFrancisGridGen "HPSimple_Francis_GridGen example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_Francis_GridGen

+

+Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is also +extended by synergy with the OpenIPSL for only generator modelling. The Governor unit from the +OpenHPL is also used here. The penstock is modelled with the more detailed PenstockKP unit. The turbine +is modelled with the more detailed Francis unit. The simple Pipe unit is used to represent the intake +and discharge races. The Reservoir unit is used to represent the reservoir and the tailwater (here, this unit +uses a simple model of the reservoir that only depends on the water depth in the reservoir). +

+", revisions="")); +end HPSimpleFrancisGridGen; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo new file mode 100644 index 00000000..4df6bde1 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleFrancisIPSLGen "HPSimple_Francis_IPSLGen example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_Francis_IPSLGen

+

+Here, the last example model (uses the PenstockKP and Francis units) is extended by synergy with the +OpenIPSL for generator and power system modelling. The Governor unit from the OpenHPL is also +used here. The penstock is modelled with the more detailed PenstockKP unit. The turbine is modelled with more +detailed Francis unit. The simple Pipe unit is used to represent the intake and discharge races. The +Reservoir unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the +reservoir that only depends on the water depth in the reservoir). +

+", revisions="")); +end HPSimpleFrancisIPSLGen; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo new file mode 100644 index 00000000..1f460b90 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleFrancisIPSLGenGov "HPSimple_Francis_IPSLGenGov example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_Francis_IPSLGenGov

+

+Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is extended +by synergy with the OpenIPSL for generator, governor and power system modelling. The penstock is modelled with +the more detailed PenstockKP unit. The turbine is modelled with the more detailed Francis unit. The +simple Pipe unit is used to represent the intake and discharge races. The Reservoir unit is used to +represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the +water depth in the reservoir). +

+", revisions="")); +end HPSimpleFrancisIPSLGenGov; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo new file mode 100644 index 00000000..d422fad7 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo @@ -0,0 +1,16 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleFrancisIPSLGenInfBus "HPSimple_Francis_IPSLGenInfBus example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_Francis_IPSLGenInfBus

+

+Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is extended +by synergy with the OpenIPSL for generator and power system (including infinite bus) modelling. The +Governor unit from the OpenHPL is also used here. The penstock is modelled with the more detailed +PenstockKP unit. The turbine is modelled with the more detailed Francis unit. The simple Pipe +unit is used to represent the intake and discharge races. The Reservoir unit is used to represent the reservoir +and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the +reservoir). +

+", revisions="")); +end HPSimpleFrancisIPSLGenInfBus; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo b/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo new file mode 100644 index 00000000..c8ca1a28 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleGenerator "HPSimple_generator example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_generator

+

+In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling. +The simple Pipe unit is used to represent the penstock, intake and discharge races. The simple Turbine +unit is used to represent the turbine. The SimpleGen unit is used to represent the generator. The +Reservoir unit is used to represent the reservoir and tailwater (here, this unit uses a simple model of the +reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for +this example model. +

+", revisions="")); +end HPSimpleGenerator; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo b/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo new file mode 100644 index 00000000..e51ce832 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo @@ -0,0 +1,15 @@ +within OpenHPL.UsersGuide.Examples; +class HPSimpleOpenChannel "HPSimple_OpenChannel example model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

HPSimple_OpenChannel

+

+In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator +is not included in the model. The simple Pipe unit is used to represent the penstock and intake race. The +discharge race is an open channel here, and the OpenChannel unit is used for modelling. The simple +Turbine unit is used to represent the turbine. The Reservoir unit is used to represent the reservoir +and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the +reservoir). +

+", revisions="")); +end HPSimpleOpenChannel; diff --git a/OpenHPL/UsersGuide/Examples/package.mo b/OpenHPL/UsersGuide/Examples/package.mo new file mode 100644 index 00000000..85ed781f --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/package.mo @@ -0,0 +1,11 @@ +within OpenHPL.UsersGuide; +package Examples "Examples of hydropower systems" + extends Modelica.Icons.ExamplesPackage; + + annotation (Documentation(info=" +

Examples

+

+Here, various models that have been assembled in the Examples class are described. +

+", revisions="")); +end Examples; diff --git a/OpenHPL/UsersGuide/Examples/package.order b/OpenHPL/UsersGuide/Examples/package.order new file mode 100644 index 00000000..c6bb24a6 --- /dev/null +++ b/OpenHPL/UsersGuide/Examples/package.order @@ -0,0 +1,11 @@ +HPSimple +HPSimpleGenerator +HPSimpleFrancis +HPDetailed +HPDetailedGenerator +HPDetailedFrancis +HPSimpleFrancisIPSLGen +HPSimpleFrancisGridGen +HPSimpleFrancisIPSLGenGov +HPSimpleFrancisIPSLGenInfBus +HPSimpleOpenChannel diff --git a/OpenHPL/UsersGuide/Installation.mo b/OpenHPL/UsersGuide/Installation.mo new file mode 100644 index 00000000..b36a8521 --- /dev/null +++ b/OpenHPL/UsersGuide/Installation.mo @@ -0,0 +1,57 @@ +within OpenHPL.UsersGuide; +class Installation "Installation instructions" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Installation

+

+OpenHPL can be opened either in open-source +OpenModelica or commercial +Dymola modelling and +simulation environments, which are based on the Modelica language. Here, OpenModelica is emphasized +due to free availability. +

+ +
Installing OpenModelica
+

+To install OpenModelica: +

+ + +
Modelica and OpenModelica Tutorials
+

+Some tutorials exist for: +

+ + +
Installing OpenHPL
+

+The OpenHPL can be found at +https://openhpl.opensimhub.org. +To install this library, follow the instructions at the project homepage. +

+ +
Scripting API Integration
+

+In addition, Modelica models in OpenModelica can be simulated within a scripting language and further +analysed using the analysis tools in the scripting language: +

+ +

+The installation instructions for both these APIs can be found in the links provided above. +

+")); +end Installation; diff --git a/OpenHPL/UsersGuide/Introduction.mo b/OpenHPL/UsersGuide/Introduction.mo new file mode 100644 index 00000000..a0db05d2 --- /dev/null +++ b/OpenHPL/UsersGuide/Introduction.mo @@ -0,0 +1,36 @@ +within OpenHPL.UsersGuide; +class Introduction "Introduction to OpenHPL" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Introduction

+

+OpenHPL is an open-source hydropower library that consists of hydropower unit models +and is encoded in Modelica. Modelica is a multi-domain as well as a component-oriented modelling +language that is suitable for complex system modelling. In order to develop the library, OpenModelica +has been used as an open-source Modelica-based modelling and simulation environment. +

+

+This hydropower library, OpenHPL, provides the capability for the modelling of +hydropower systems of different complexity. The library includes the following units: +

+
    +
  1. Various waterway units are modelled based on the mass and momentum balances, i.e., reservoirs, +conduits, surge tank, fittings. A modern method for solving more detailed models (PDEs) is implemented +in the library, and enables the modelling of the waterway with elastic walls and compressible water as +well as open channel.
  2. +
  3. A hydrology model has been implemented and makes it possible to simulate the water inflow to the +reservoirs.
  4. +
  5. Mechanistic models, as well as simple look-up table turbine models are implemented for the Francis +and Pelton turbine types. The Francis turbine model also includes a turbine design algorithm that gives +all of the needed parameters for the model, based on the turbine's nominal operating values.
  6. +
  7. The capability for multiphysics connections and work with other libraries is ensured, e.g., connecting +with the Open-Instance Power System Library OpenIPSL makes it possible to model the +electrical part for the hydropower system.
  8. +
+

+A detailed description of each hydropower unit and their uses are presented in the following sections of +this user guide. +

+")); +end Introduction; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo new file mode 100644 index 00000000..87c9995b --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo @@ -0,0 +1,57 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class Francis "Francis Turbine Model" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Francis Turbine

+

+The library includes a mechanistic Francis turbine model based on the Euler turbine equations. The shaft +power produced is: +

+

+$$ \\dot{W}_s = \\dot{m}\\omega \\left(R_1\\frac{\\dot{V}}{A_1}\\cot{\\alpha_1} - R_2\\left(\\omega R_2 + \\frac{\\dot{V}}{A_2}\\cot{\\beta_2}\\right)\\right) $$ +

+ +

+ \"Francis +

+

Figure: Key quantities in the Francis turbine model.

+ +

+where ṁ and V̇ are mass and volumetric flow rates, ω is angular velocity, R1 and R2 +are inlet and outlet radii, A1 and A2 are cross-sectional areas, α1 is +inlet guide vane angle, and β2 is outlet blade angle. +

+ +
Total Work and Efficiency
+

+The total work rate is: +

+

+$$ \\dot{W}_t = \\dot{W}_s + \\dot{W}_{ft} + \\Delta p_v \\dot{V} $$ +

+

+where Ẇft represents various friction losses. Efficiency \\(\\eta = \\dot{W}_s / \\dot{W}_t\\). +

+ +
Turbine Design Algorithm
+

+A design algorithm is provided to calculate geometry parameters from nominal operating conditions +(net head and flow rate). The algorithm determines: outlet blade angle β2, runner radii +R1 and R2, runner width w1, and inlet blade angle β1. +

+ +
Guide Vane Actuation
+

+A guide vane opening model relates actuator position Y to guide vane angle α1 through geometric +relationships. +

+ +
Implementation
+

+The Francis unit uses TurbineContacts and has a RealInput for +angular velocity from the generator. User can use the design algorithm or specify geometry parameters +manually. +

+")); +end Francis; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo new file mode 100644 index 00000000..a82a33a8 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo @@ -0,0 +1,74 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class Pelton "Description of Pelton turbine model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Pelton Turbine

+

+Similar to the Francis turbine model, the mechanistic Pelton turbine model is developed and used. The key quantities +of the model are shown in the figure, and the shaft power \\(\\dot{W}_s\\) produced in the Pelton turbine is defined +as follows: +

+ +

+ \"Pelton +

+

Figure: Some key concepts of the Pelton turbine.

+ +

+$$ \\dot{W}_s=\\dot{m}v_R\\left[\\delta(u_\\delta)\\cdot v_1-v_R\\right]\\left(1-k\\cos\\beta\\right) $$ +

+

+Here, \\(\\dot{m}\\) is the mass flow rate through the turbine. The reference velocity is equal to \\(v_R = \\omega R\\): +here, \\(R\\) is a is the radius of the rotor where the mass hits the bucket and \\(\\omega\\) is the angular velocity +that is normally constrained by the grid frequency. The water velocity at position \"1\" is equal to \\(v_1=\\frac{\\dot{V}}{A_1}\\), +where \\(\\dot{V}\\) is the volumetric flow rate through the turbine and \\(A_1\\) is a cross-sectional area at position \"1\" +(the end of the nozzle). \\(\\beta\\) is the reflection angle with typical value of \\(\\beta= 165^{\\circ}\\), and +\\(k<1\\) is some friction factor, typically \\(k\\in[0.8, 0.9]\\). In practical installations, there is a deflector +mechanism to reduce the velocity \\(v_1\\delta(u_\\delta)\\) to avoid over-speed. +

+ +

+The total work rate \\(\\dot{W}_t\\) removed through the turbine is: +

+

+$$ {\\dot{W}_t} = {\\dot{W}_s+\\dot{W}_{ft}} $$ +

+

+Here, \\(\\dot{W}_{ft}\\) is a friction of losses that can be found as follows: +

+

+$$ \\dot{W}_{ft}=K\\left(1-k\\cos\\beta\\right)\\dot{m}v_R^2 $$ +

+

+Here, friction coefficient \\(K\\) equals 0.25. +

+ +

+In addition, the pressure drop across the nozzle (positions \"0\" and \"1\") \\(\\Delta p_n\\) can be found as follows: +

+

+$$ \\Delta p_n=\\frac{1}{2}\\rho\\dot{V}\\left[\\dot{V}\\left(\\frac{1}{A_1^2(Y)}-\\frac{1}{A_0^2}\\right)+k_f\\right] $$ +

+

+Here, \\(A_0\\) is a cross sectional area at position \"0\" (the beginning of the nozzle). \\(A_1(Y)\\) means that the +cross-sectional area at position \"1\" is a function of the needle position \\(Y\\). \\(k_f\\) is a coefficient of friction +loss in the nozzle. +

+ +
Implementation
+

+Hence, this Pelton turbine model is realized in the Pelton turbine element in our library. In this Pelton +unit, the multi-physic TurbineContacts connectors model is also used and ensures connection to other waterway +and electro-mechanical units. In addition, this Pelton unit also has the standard Modelica RealInput +connector that describes the angular velocity as an input to the Pelton turbine model. Typically, this angular velocity +connector is based on the derived info from (connected to) the generator units. +

+ +
Parameters
+

+In the Pelton unit, the user can specify the required geometry for the Pelton turbine: radius of the turbine +runner, input diameter of the nozzle, runner bucket angle, friction factors and coefficients, and deflector mechanism +coefficient. +

+", revisions="")); +end Pelton; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo new file mode 100644 index 00000000..985ac1b2 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo @@ -0,0 +1,49 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class SimpleGenerator "Simple Generator Model" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Simple Generator

+

+A simple model of an ideal generator with friction is based on angular momentum balance. The kinetic energy +stored in the rotating generator is \\(K_a = \\frac{1}{2}J_a\\omega_a^2\\), where ωa +is angular velocity and Ja is moment of inertia. +

+ +
Energy Balance
+

+From energy balance: +

+

+$$ \\frac{dK_a}{dt} = \\dot{W}_s - \\dot{W}_{f,a} - \\dot{W}_g $$ +

+

+where Ẇs is turbine shaft power, Ẇf,a is frictional power loss, and Ẇg +is power taken by generator. +

+ +
Friction
+

+Frictional power loss (mainly from bearings): \\(\\dot{W}_{f,a} = \\frac{1}{2}k_{f,b}\\omega_a^2\\) +where kf,b is bearing friction factor. +

+ +
Electric Power
+

+Electric power available on grid: \\(\\dot{W}_e = \\eta_e \\dot{W}_g\\) where ηe is +electrical efficiency. +

+ +
Implementation
+

+The SimpleGen unit has RealInput connectors for grid power and shaft power, +and RealOutput connectors for angular velocity and frequency. +

+ +
Parameters
+

+User specifies: moment of inertia, electrical efficiency, bearing friction factor, number of poles, and +initial angular velocity. +

+")); +end SimpleGenerator; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo new file mode 100644 index 00000000..fd35030e --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo @@ -0,0 +1,97 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class SynchronizeGenerator "Description of synchronous generator model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Synchronous Generator

+

+Here, a more detailed model of the synchronous generator is presented. This model is based on the d-q decomposition +and assumed that the generator is connected to the grid. The voltage-current relation is given as: +

+

+$$ \\left[\\begin{matrix}R_a+R_e & x_q'+x_e\\\\ -x_d'-x_e & R_a+R_e\\end{matrix}\\right]\\left[\\begin{matrix}I_d \\\\ I_q\\end{matrix}\\right]= \\left[\\begin{matrix}E_d'+V_s\\sin\\delta_e \\\\ E_q'-V_s\\cos\\delta_e\\end{matrix}\\right] $$ +

+

+Here, \\(R_a\\) and \\(R_e\\) are the phase winding and equivalent network resistances, \\(x_d\\), \\(x_q\\), \\(x_d'\\), +and \\(x_q'\\) are d-/q-axis normal, and transient reactances. \\(x_e\\) is the equivalent network reactance. \\(I_d\\) +and \\(I_q\\) are the d-/q-axis currents. \\(E_d'\\) and \\(E_q'\\) are the d-/q-axis transient voltages. \\(V_s\\) is +the network RMS (Root-Mean-Squared) voltage. \\(\\delta_e\\) is the phase shift angle that is described as follows: +

+

+$$ \\frac{d\\delta_e}{dt} = (\\omega - \\omega_s)\\frac{n_p}{2} $$ +

+

+Here, \\(n_p\\) is the number of poles in the generator, where \\(\\omega\\) and \\(\\omega_s\\) are the generator and +grid angular velocities, respectively. The Swing equation is used to describe the angular velocity dynamics and looks as +follows: +

+

+$$ \\frac{d\\omega}{dt}=\\frac{\\dot{W}_s-P_e}{J\\omega} $$ +

+ +

+The dynamic equations for the transient operation are as follows: +

+

+$$ +\\begin{array}{c} +T_{qo}'\\frac{dE_d'}{dt} =-E_d' + (x_q' - x_q)I_q \\\\ +T_{do}'\\frac{dE_q'}{dt} = -E_q' + (x_d - x_d')I_d + E_f +\\end{array} +$$ +

+

+Here, \\(T_{do}'\\) and \\(T_{qo}'\\) are the d-/q-axis transient open-circuit time constants. \\(E_f\\) is the voltage +across the field winding with the following dynamic equation: +

+

+$$ \\frac{dE_f}{dt} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$ +

+

+Here, \\(K_E\\) is the excitation system gain and \\(T_E\\) --- excitation system time constant. \\(V_{tr}\\) is the +voltage reference set point for the exciter. \\(V_t\\) is the terminal voltage and can be found as +\\(V_t = \\sqrt{\\left(E_d'-R_aI_d-x_q'I_q\\right)^2+\\left(E_q'-R_aI_q+x_d'I_d\\right)^2}\\). \\(V_{stab}\\) is the +stabilisation voltage with the following dynamic equation: +

+

+$$ \\frac{dV_{stab}}{dt} = \\frac{-V_{stab} + K_F\\frac{dE_f}{dt}}{T_{FE}} $$ +

+

+Here, \\(K_F\\) is the stabiliser gain, and \\(T_{FE}\\) --- the stabiliser time constant. +

+ +

+The output active and reactive power of the generator can be found as follows: +

+

+$$ +\\begin{array}{c} +P_e = 3\\left(E_d'I_d+E_q'I_q\\right)\\\\ +Q_e = \\sqrt{9V_t^2I_t^2-P_e^2} +\\end{array} +$$ +

+

+Here, the terminate current is given as \\(I_t=\\sqrt{I_d^2+I_q^2}\\). +

+ +
Implementation
+

+Hence, this synchronise generator model is encoded in the OpenHPL as a SynchGen unit. This unit has +inputs as the turbine shaft power, that is implemented with the standard Modelica RealInput connector. This +SynchGen unit also uses the standard Modelica RealOutput connectors in order to provide output +information about the angular velocity and frequency of the generator. All these connectors can be connected to turbines +units and other standard Modelica blocks. +

+ +
Parameters
+

+In the SynchGen unit, the user can specify the required nominal parameters for the generator: active and reactive +powers drawn from the generator at Steady-State operating condition, phase winding resistance, and the number of poles. +The following network parameters should be also specified by the user: equivalent network resistance and reactance, network +RMS voltage, grid angular velocity. The user also specifies the d-/q-axis normal and transient reactances, d-/q-axis +transient open-circuit time constants, minimum and maximum field voltages, excitation system, stabilizer gains, time +constants, moment of inertia of the generator, and the friction factor in the rotor bearing box. This unit can be +initialized, or the user can decide on an option for the self initialisation. +

+", revisions="")); +end SynchronizeGenerator; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo new file mode 100644 index 00000000..64e3cfaa --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo @@ -0,0 +1,43 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class Turbine "Simple Turbine Model" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Turbine

+

+The simple turbine model is based on a look-up table for turbine efficiency vs. guide vane opening. +The mechanical turbine shaft power is: +

+

+$$ \\dot{W}_\\mathrm{tr} = \\eta_\\mathrm{h} \\Delta p_\\mathrm{tr} \\dot{V}_\\mathrm{tr} $$ +

+

+where ηh is hydraulic efficiency from lookup table, Δptr is pressure drop, and +V̇tr is volumetric flow rate. +

+ +
Flow Relationship
+

+The turbine flow rate relates to pressure drop through a valve-like expression: +

+

+$$ \\dot{V}_\\mathrm{tr} = C_\\mathrm{v} u_\\mathrm{v} \\sqrt{\\frac{\\Delta p_\\mathrm{tr}}{p^\\mathrm{a}}} $$ +

+

+where Cv is the guide vane \"valve capacity\", uv is guide vane opening signal +(0 to 1), and pa is atmospheric pressure. +

+ +
Implementation
+

+The Turbine unit uses TurbineContacts connectors for multi-physics connections +to waterway and electro-mechanical units. +

+ +
Parameters
+

+User specifies: valve capacity Cv, nominal net head, nominal flow rate, nominal guide vane +opening. User chooses either constant efficiency or efficiency lookup table. +

+")); +end Turbine; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo new file mode 100644 index 00000000..c4ca2950 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo @@ -0,0 +1,12 @@ +within OpenHPL.UsersGuide.OpenHPLElements; +package ElectroMechModels "Electro-Mechanical Component Models" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Electro-Mechanical Models

+

+This section describes the turbine, generator, and governor models for the hydropower system. These models +range from simple lookup-table based approaches to detailed mechanistic models based on first principles. +

+")); +end ElectroMechModels; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order new file mode 100644 index 00000000..d084e3a8 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order @@ -0,0 +1,5 @@ +Turbine +Francis +Pelton +SimpleGenerator +SynchronizeGenerator diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo new file mode 100644 index 00000000..08bf8563 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo @@ -0,0 +1,97 @@ +within OpenHPL.UsersGuide.OpenHPLElements.Functions; +class Fitting "Pipe Fitting Pressure Drop" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Fitting

+

+The functions for defining the pressure drop in various pipe fittings are described here. Due to different +constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based +on friction pressure drop which can be calculated as: +

+

+$$ \\Delta p_\\mathrm{f} = \\frac{1}{2}\\varphi\\rho v|v| $$ +

+

+Here, the dimensionless factor φ is the generalized friction factor. For a long, straight pipe, +φ = fD L/D. +

+ +
Types of Fittings
+

+Pressure drop equations are provided for different types of constrictions: +

+ +
Square Reduction/Expansion Fittings
+

+ \"Square + \"Square +

+ +
Tapered Reduction/Expansion Fittings
+

+ \"Tapered + \"Tapered +

+ +
Rounded Reduction/Expansion Fittings
+

+ \"Rounded + \"Rounded +

+ +
Sharp/Thick Orifice Fittings
+

+ \"Sharp + \"Thick +

+ +
Implementation
+

+Based on the presented equations for the calculation of the dimensionless factor φ in various fittings, +a set of functions is encoded in the Fitting package, such as: +

+
    +
  • SquareReduction
  • +
  • SquareExpansion
  • +
  • TaperedReduction
  • +
  • TaperedExpansion
  • +
  • RoundedReduction
  • +
  • SharpOrifice
  • +
  • ThickOrifice
  • +
+ +

+All these functions receive the Reynolds number NRe, diameters of first and second pipes +D1 and D2, and the pipe roughness height ε. Then, based on the appropriate +equations, these functions provide value for the dimensionless factor φ. +

+ +
Example Code
+

+An example of Modelica code for the SquareReduction function: +

+
+function SquareReduction
+  input Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
+  input Modelica.SIunits.Height eps \"Pipe roughness height\";
+  input Modelica.SIunits.Diameter D_i, D_o \"Pipe diameters\";
+  output Real phi;
+protected
+  Real f_D \"friction factor\";
+algorithm
+  f_D := Functions.DarcyFriction.fDarcy(N_Re, D_1, eps);
+  if N_Re < 2500 then
+    phi := (1.2 + 160 / N_Re) * ((D_i / D_o) ^ 4 - 1);
+  else
+    phi := (0.6 + 0.48 * f_D) * (D_i / D_o) ^ 2 * ((D_i / D_o) ^ 2 - 1);
+  end if;
+end SquareReduction;
+
+ +

+Another function, FittingPhi, calls the specific fitting functions based on a +FittingType parameter to provide the dimensionless factor φ for any fitting type. +

+")); +end Fitting; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo new file mode 100644 index 00000000..a7dce80b --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo @@ -0,0 +1,102 @@ +within OpenHPL.UsersGuide.OpenHPLElements.Functions; +class FrictionTerm "Friction Force Calculation" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Friction Term

+

+First, the functions for defining the friction force in the waterway are described. The friction force +Ff is directed in the opposite direction of the velocity v (the linear velocity average across +the cross-section of the pipe) of the fluid. A common expression for friction force in the filled pipes +is the following: +

+

+$$ F_\\mathrm{f} = -\\frac{1}{8}\\pi\\rho LDf_\\mathrm{D}v|v| $$ +

+

+Here, L and D are related to the pipe length and diameter, respectively. fD is a Darcy friction +factor that is a function of Reynolds number NRe, with the roughness ratio ε/D as a parameter. +

+ +

+ \"Darcy +

+

Figure: Darcy friction factor as a function of the Reynolds number.

+ +
Flow Regimes
+

+The turbulent region (NRe > 2.3×10³) is a flow regime where the velocity across the pipe has +a stochastic nature, and where the velocity v is relatively uniform across the pipe when we average the +velocity over some short period of time. The laminar region (NRe < 2.1×10³) is a flow regime +with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the +pipe wall and maximal velocity at the centre of the pipe. +

+ +
Laminar Flow
+

+Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height ε. For +laminar flow in a cylindrical pipe (NRe < 2.1×10³), the Darcy friction factor fD +can be found using the following expression: +

+

+$$ f_\\mathrm{D} = \\frac{64}{N_\\mathrm{Re}} $$ +

+

+Here, the Reynolds number is found as follows: \\(N_\\mathrm{Re}=\\frac{\\rho|v|D}{\\mu}\\), where μ is the fluid viscosity. +

+ +
Turbulent Flow
+

+For turbulent flow (NRe > 2.3×10³), the Darcy friction factor is expressed as: +

+

+$$ f_\\mathrm{D} = \\frac{1}{\\left(2\\log_{10}\\left(\\frac{\\epsilon}{3.7D} + \\frac{5.74}{N_\\mathrm{Re}^{0.9}}\\right)\\right)^2} $$ +

+ +
Transition Zone
+

+In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a +cubic polynomial interpolation is used between the laminar value at NRe=2100 and the turbulent +value at NRe=2300, with matching slopes at both endpoints to achieve global differentiability. +

+ +
Implementation
+

+Based on the presented equations for calculation of the friction force in the waterway, two functions are +encoded in class DarcyFriction: +

+
    +
  1. fDarcy — calculates the Darcy friction factor. This function has the following inputs: +Reynolds number NRe, pipe diameter D, and pipe roughness height ε. Returns the friction factor +fD.
  2. +
  3. Friction — calculates the actual friction force based on the response from the +fDarcy function. This function has the following inputs: linear velocity v, pipe length and +diameter L and D, liquid density and viscosity ρ and μ, and pipe roughness height ε. Returns friction force +Ff.
  4. +
+ +
Example Code
+

+An example of a Modelica code for defining the Friction function: +

+
+function Friction \"Friction force with Darcy friction factor\"
+  import Modelica.Constants.pi;
+  input Modelica.SIunits.Velocity v \"Flow velocity\";
+  input Modelica.SIunits.Diameter D \"Pipe diameter\";
+  input Modelica.SIunits.Length L \"Pipe length\";
+  input Modelica.SIunits.Density rho \"Density\";
+  input Modelica.SIunits.DynamicViscosity mu \"Dynamic viscosity of water\";
+  input Modelica.SIunits.Height eps \"Pipe roughness height\";
+  output Modelica.SIunits.Force F_f \"Friction force\";
+protected
+  Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
+  Real f \"friction factor\";
+algorithm
+  N_Re:= rho * abs(v) * D / mu;
+  f := fDarcy(N_Re, D, eps);
+  F_f := 0.5 * pi * f * rho * L * v * abs(v) * D / 4;
+end Friction;
+
+")); +end FrictionTerm; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo new file mode 100644 index 00000000..b36b63bf --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo @@ -0,0 +1,89 @@ +within OpenHPL.UsersGuide.OpenHPLElements.Functions; +class KPScheme "Kurganov-Petrova Numerical Scheme" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

KP Scheme

+

+Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a +wellbalanced second-order scheme, which is a Riemann problem solver free scheme (central scheme) while +at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of +propagation during the calculation of the flux at the cell interfaces. +

+ +
Mathematical Formulation
+

+The central-upwind numerical scheme is presented for the one-dimensional case: +

+

+$$ \\frac{\\partial U(x,t)}{\\partial t} + \\frac{\\partial F(x,t,U)}{\\partial x} = S(x,t,U) $$ +

+

+where U(x,t) is the state vector, F(x,t,U) is the vector of fluxes and S(x,t,U) is the source terms. +

+ +

+ \"Control +

+

Figure: Control volume/cell for finite volume discretization.

+ +
Discretization
+

+With the finite volume method, we divide the grid into small control volumes/cells and then apply the +conservation laws. The semi-discrete (time-dependent ODEs) central-upwind scheme can be written as: +

+

+$$ \\frac{d}{dt}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$ +

+

+Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central +upwind numerical fluxes at the cell interfaces. The numerical fluxes are calculated using the one-sided +local speeds of propagation and the piecewise linearly reconstructed state values at cell interfaces. +

+ +
Slope Limiter
+

+The slope sj of the reconstructed function in each cell is computed using a limiter function +to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized +minmod limiter. The parameter θ ∈ [1,2] is used to control or tune the amount of numerical +dissipation present in the resulting scheme. The value of θ = 1.3 is an acceptable starting point +in general. +

+ +

+ \"Ghost +

+

Figure: Ghost cells at the grid boundaries.

+ +
Ghost Cells
+

+For boundary cells, imaginary cells called ghost cells are used outside the physical boundary. The +average value of the conserved variables at the centre of these ghost cells depends on the nature of +the physical boundary taken into account. +

+ +
Implementation in OpenHPL
+

+Functions for each element of the KP scheme are implemented in the KP07 package: +

+
    +
  • GhostCells — provides values at ghost cells
  • +
  • SlopeVectorS — returns the slope vector using the minmod limiter
  • +
  • PieceWiseU — defines state values at cell interfaces
  • +
  • SpeedPropagationApipe — provides one-sided local speeds of propagation
  • +
  • FluxesH — defines central upwind numerical fluxes
  • +
  • KPmethod — primary function that assembles all components
  • +
+ +

+Note: Due to simulation speed considerations, these functions are implemented as model type +instead of function type in OpenModelica. +

+ +

+Examples of using the KP scheme for solving PDEs are provided in class KP07. More information +about using the KPmethod function is presented in the waterway modelling section for the +PenstockKP and OpenChannel units. +

+")); +end KPScheme; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo new file mode 100644 index 00000000..3647524b --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo @@ -0,0 +1,11 @@ +within OpenHPL.UsersGuide.OpenHPLElements; +package Functions "Functions and Algorithms" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Functions

+

+Here, a detailed description of the functions and their used algorithms in the library, are presented. +

+")); +end Functions; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order new file mode 100644 index 00000000..994235ea --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order @@ -0,0 +1,3 @@ +FrictionTerm +KPScheme +Fitting diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo b/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo new file mode 100644 index 00000000..393ea5ac --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo @@ -0,0 +1,34 @@ +within OpenHPL.UsersGuide.OpenHPLElements; +class Governor "Description of Governor model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Governor

+

+Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power +production is described. The block diagram of this governor model is shown in the figure. +

+ +

+ \"Governor +

+

Figure: Block Diagram of the governor.

+ +
Implementation
+

+Using the model in the figure and the standard Modelica blocks, the governor model is encoded in our library as the +Governor unit. This unit has inputs as the reference power production and generator frequency that are implemented +with the standard Modelica RealInput connector. This Governor unit also uses the standard Modelica +RealOutput connectors in order to provide output information about the turbine guide vane opening. +

+ +
Parameters
+

+In the Governor unit (note: in the text it mentions SynchGen but this appears to be a typo in the +original document - should be Governor), the user can specify the various time constants of this model (see +figure): pilot servomotor time constant Tp, primary servomotor integration time Tg, and transient +droop time constant Tr. The user should also provide the following parameters: droop value σ, transient droop δ, +and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide +vane opening should also be specified. +

+", revisions="")); +end Governor; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo b/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo new file mode 100644 index 00000000..26d045f8 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo @@ -0,0 +1,104 @@ +within OpenHPL.UsersGuide.OpenHPLElements; +class Interfaces "Interface Connectors" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Interfaces

+

+A detailed description of the interface connectors is provided here. In the OpenHPL, +two types of connectors are typically used. The first type is the standard Modelica real input/output +connector, the other type is a set of connectors that represent the water flow and are modelled similar +to the connection in an electrical circuit with voltage and current, or similar to the idea of potential +and flow in Bond Graph models. +

+ +
Contact Connector
+

+The water flow connector which is called Contact in the library, contains information about +the pressure in the connector and mass flow rate that flows through the connector. An example of a +Modelica code for defining the Contact connector looks as follows: +

+
+connector Contact \"Water flow connector\"
+  Modelica.SIunits.Pressure p \"Contact pressure\";
+  flow Modelica.SIunits.MassFlowRate mdot \"Mass flow rate through the contact\";
+  annotation (Icon(graphics={Ellipse(extent={{-100,-100},{100,100}}, 
+    lineColor={28,108,200}, fillColor={0,128,255}, 
+    fillPattern=FillPattern.Solid)}));
+end Contact;
+
+ +
Extensions of Contact Connector
+

+In addition, some extensions of this water flow connector are developed for better use in the library: +

+ +
TwoContact
+

+TwoContact is an extension from the Contact model which provides a model of +two connectors of inlet and outlet contacts: +

+
+partial model TwoContact \"Model of two connectors\"
+  Contact i \"Inlet contact\" 
+    annotation(Placement(transformation(extent={{-110,-10},{-90,10}})));
+  Contact o \"Outlet contact\" 
+    annotation(Placement(transformation(extent={{90,-10},{110,10}})));
+end TwoContact;
+
+ +
ContactPort
+

+ContactPort is an extension from the TwoContact model which also provides +information about a mass flow rate between these two connectors. The mass flow rate that flows through +the inlet connector is equal to the mass flow through the outlet connector. This model is used for the +pipe modelling: +

+
+partial model ContactPort \"Model of two connectors with mass flow rate\"
+  Modelica.SIunits.MassFlowRate mdot \"Mass flow rate\";
+  extends TwoContact;
+equation
+  0 = i.mdot + o.mdot;
+  mdot = i.mdot;
+end ContactPort;
+
+ +
ContactNode
+

+ContactNode is an extension from the TwoContact model and provides a node +pressure that is equal to the pressures from these two connectors. This model also defines the mass flow +rate that is the sum of the mass flow rates through the inlet and outlet connectors. This model is used +for the surge tank modelling: +

+
+partial model ContactNode \"Model of two connectors and node pressure\"
+  Modelica.SIunits.Pressure p_n \"Node pressure\";
+  Modelica.SIunits.MassFlowRate mdot \"Mass flow rate\";
+  extends TwoContact;
+equation
+  p_n = i.p;
+  i.p = o.p;
+  mdot = i.mdot + o.mdot;
+end ContactNode;
+
+ +
TurbineContacts
+

+TurbineContacts is an extension from ContactPort model and provides the real +input and output connectors, additionally. This model is used for turbine modelling: +

+
+partial model TurbineContacts \"Model of turbine connectors\"
+  extends ContactPort;
+  input Modelica.Blocks.Interfaces.RealInput u_t 
+    \"[Guide vane|nozzle] opening of the turbine\" 
+    annotation (Placement(transformation(extent={{-20,-20},{20,20}}, 
+      rotation=-90, origin={0,120})));
+  Modelica.Blocks.Interfaces.RealOutput P_out \"Mechanical Output power\" 
+    annotation (Placement(transformation(origin={0,-110}, 
+      extent={{-10,-10},{10,10}}, rotation=270)));
+end TurbineContacts;
+
+")); +end Interfaces; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo new file mode 100644 index 00000000..66b882c6 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo @@ -0,0 +1,19 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Fitting "Description of Fitting unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Fitting

+

+There are various possibilities of the fittings for the pipes with different diameters as well as the existence +of orifices in the pipe. In this unit Fitting, the pressure drop due to these constrictions is +defined using the pressure drop equation and function FittingPhi. The Fitting unit uses +the ContactPort connector model in order to have inlet and outlet connectors and the possibility to +define pressure drop between those connectors. Then, this unit can be connected to the other waterway units. +

+ +

+When the Fitting unit is in use, the user can postulate the specific type of fitting that is of +interest and required based on the geometry parameters for this fitting. +

+")); +end Fitting; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo new file mode 100644 index 00000000..833abf48 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo @@ -0,0 +1,74 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class OpenChannel "Description of Open Channel unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Open Channel

+

+Similarly to the detailed model of the pipe, the model of the open channel is also encoded in the library. The open channel +model looks as follows: +

+

+$$ \\frac{\\partial U}{\\partial t}+\\frac{\\partial F}{\\partial x} = S $$ +

+

+where: +

+
    +
  • \\(U=\\left[\\begin{matrix}q & z\\end{matrix}\\right]^T\\)
  • +
  • \\(F=\\left[\\begin{matrix}q & \\frac{q^2}{z-B}+\\frac{g}{2}\\left(z-B\\right)^2\\end{matrix}\\right]^T\\)
  • +
  • \\(S=\\left[\\begin{matrix}0 & -g\\left(z-B\\right)\\frac{\\partial B}{\\partial x}-\\frac{gf_n^2q|q|\\left(w+2\\left(z-B\\right)\\right)^\\frac{4}{3}}{w^\\frac{4}{3}}\\frac{1}{\\left(z-B\\right)^\\frac{7}{3}}\\end{matrix}\\right]^T\\)
  • +
+

+with: \\(z=h+B\\), and \\(q=\\frac{\\dot{V}}{w}\\). Here, h is water depth in the channel, B is the channel bed elevation, +q is the discharge per unit width w of the open channel. fn is the Manning's roughness coefficient. +

+ +
Eigenvalues
+

+The KP scheme is described earlier, but some additional specific details for open channels should be added here. First, +the eigenvalues for this model are defined as follows: +

+

+$$ \\lambda_{1,2}=u\\pm\\sqrt{gh} $$ +

+

+where, u is the cross-section average water velocity. +

+ +
Desingularization
+

+In the channel areas which are dry or almost dry (if the computational domain contains a dry bed, islands or coastal areas), +the values of \\(h_{i\\pm\\frac{1}{2}}^\\pm\\) could be very small or even zero. In such cases when +\\(h_{i\\pm\\frac{1}{2}}^\\pm<\\epsilon\\), with ε being an a-priori chosen small positive number (e.g. ε = 1e⁻⁵), +the velocity at the cell centres in the entire domain is recomputed by the desingularization formula: +

+

+$$ \\bar{u}_j=\\frac{2\\bar{h}_j\\bar{q}_j}{\\bar{h}_j^2+\\max\\left(\\bar{h}_j^2,\\epsilon^2\\right)} $$ +

+

+Then, the point values of the velocity \\(u_{i\\pm\\frac{1}{2}}^\\pm\\) at the left/right cell interfaces, +i.e., at \\(x_j = x_{j\\pm\\frac{1}{2}}\\) are computed using slope limiters. +

+ +
Implementation
+

+Similar to the PenstockKP unit, the function for the KP scheme KPmethod from function class +KP07 is used in unit OpenChannel in order to discretize the presented PDEs into ODEs. The +values of states at the cell interfaces are taken from function KPmethod in the OpenChannel +unit in order to define the vectors of eigenvalues, the point values of the velocity, and the vector of fluxes. The +boundaries conditions are specified for the KPmethod function in the OpenChannel unit and +are the values for the inlet and outlet flows per unit width q₁ and q₂. +

+ +
Connectors and Parameters
+

+The OpenChannel unit uses the TwoContact connector model that gives information about inlet +and outlet pressure (water depth in the channel) and the flow rate of two connectors which can be connected to other +waterway units. In this OpenChannel unit, the user can specify the required geometry parameters for the: +length L and width w of the channel, height vector H of the channel bed with a height from the left and right sides, +the Manning's roughness coefficient fn, and the number of cells N for the discretization. This unit can be +initialized by the initial value of the flow rate \\(\\dot{V}_0\\) and water depth h₀ for each cell of the channel. +User can also change the boundary condition for the KP scheme. +

+", revisions="")); +end OpenChannel; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo new file mode 100644 index 00000000..4905b30e --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo @@ -0,0 +1,61 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class PenstockKP "Elastic Penstock with KP Method" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Pipe with Compressible Water and Elastic Walls

+

+Unlike simple conduits, the penstock has considerable pressure variation due to considerable height drop. +To make the model more realistic, compressible water and elastic walls are taken into account using +compressibility coefficients. +

+ +
Compressibility
+

+The isothermal compressibility βT relates density and pressure: +

+

+$$ \\rho \\approx \\rho^\\mathrm{atm}(1 + \\beta_T(p - p^\\mathrm{atm})) $$ +

+

+Similarly for pipe cross-section area due to elastic walls: +

+

+$$ A \\approx A^\\mathrm{atm}(1 + \\beta^\\mathrm{eq}(p - p^\\mathrm{atm})) $$ +

+

+The total compressibility βtot = βT + βeq is related to speed of sound +in water inside the pipe. +

+ +
PDE Formulation
+

+Using these relationships, the ODEs for mass and momentum balances develop into PDEs. The KP scheme is +used for discretization: +

+

+$$ \\frac{\\partial U}{\\partial t} + \\frac{\\partial F}{\\partial x} = S $$ +

+

+where \\(U = [p_\\mathrm{p}, \\dot{m}_\\mathrm{p}]^T\\) is the state vector. +

+ +

+ \"Penstock +

+ +
Implementation
+

+The PenstockKP unit uses the KPmethod function from KP07 to +discretize PDEs into ODEs. The eigenvalues λ1,2 = (vp ± √(vp² + +4Ap/(Apatm ρatm βtot))) / 2 determine the +speed of sound c = √(Ap/(Apatm ρatm βtot)). +

+ +
Parameters
+

+User specifies: length, height difference, diameters, roughness, and number of cells N for discretization. +Initialization can be done with flow rate and pressure values, or from steady-state. +

+")); +end PenstockKP; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo new file mode 100644 index 00000000..0bb5bcbe --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo @@ -0,0 +1,60 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Pipe "Simple Pipe Model" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Pipe

+

+The simple model of the pipe unit gives possibilities for easy modelling of different conduits: intake +race, penstock, tailrace, etc. The model assumes incompressible water and inelastic walls since there are +only small pressure variations. +

+ +

+ \"Pipe +

+

Figure: Model for flow through a pipe.

+ +
Mass Balance
+

+For incompressible water, the mass in the filled pipe is constant: +

+

+$$ \\frac{dm_\\mathrm{c}}{dt} = \\dot{m}_\\mathrm{c,in} - \\dot{m}_\\mathrm{c,out} = 0 $$ +

+ +
Momentum Balance
+

+The momentum balance can be expressed as: +

+

+$$ \\frac{dM_\\mathrm{c}}{dt} = \\dot{M}_\\mathrm{c,in} - \\dot{M}_\\mathrm{c,out} + F_\\mathrm{p,c} + F_\\mathrm{g,c} + F_\\mathrm{f,c} $$ +

+

+where: +

+
    +
  • Mc = mc vc is the momentum
  • +
  • Fp,c is the pressure force due to inlet/outlet pressure difference
  • +
  • Fg,c = mc g cos θc is the gravity force
  • +
  • Ff,c is the friction force calculated using the Darcy friction factor
  • +
+ +
Features
+

+The Pipe unit: +

+
    +
  • Uses the ContactPort connector model
  • +
  • Assumes flow rate changes simultaneously throughout the pipe
  • +
  • Supports positive and negative slopes
  • +
  • Can be initialized with initial flow rate or steady-state
  • +
+ +
Parameters
+

+User specifies: length Lc, height difference Hc, inlet and outlet diameters, +and pipe roughness height εc. +

+")); +end Pipe; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo new file mode 100644 index 00000000..2d995af3 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo @@ -0,0 +1,41 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Reservoir "Reservoir Model" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Reservoir

+

+The water level in the reservoir Hr is a key quantity. The reservoir model can be described by +mass and momentum balances. For a detailed model with inflow: +

+

+$$ H_\\mathrm{r}\\frac{d\\dot{m}_\\mathrm{r}}{dt} = \\frac{\\rho}{A_\\mathrm{r}}\\dot{V}_\\mathrm{r}^2 + A_\\mathrm{r}(p_\\mathrm{atm}-p_\\mathrm{r}) + \\rho gH_\\mathrm{r}A_\\mathrm{r} - F_\\mathrm{f,r} $$ +

+

+$$ \\frac{dm_\\mathrm{r}}{dt} = \\dot{m}_\\mathrm{r} $$ +

+

+where ṁr is the reservoir mass flow rate, Ar is the cross-sectional area, patm +and pr are atmospheric and outlet pressures, and Ff,r is the friction term. +

+ +
Simplified Model
+

+In a simple case with constant reservoir level and infinite area, the reservoir is simply: +

+

+$$ p_\\mathrm{r} = p_\\mathrm{atm} + \\rho g H_\\mathrm{r} $$ +

+ +
Usage
+

+The Reservoir unit uses the Contact connector and can be connected to other +waterway units. The user can: +

+
    +
  • Choose a simple model and calculate outlet pressure from the depth
  • +
  • Use a detailed model with inflow and specify reservoir geometry
  • +
  • Connect an input signal with varying water level
  • +
+")); +end Reservoir; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo new file mode 100644 index 00000000..44a76457 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo @@ -0,0 +1,19 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class ReservoirChannel "Description of Reservoir Channel unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Reservoir Channel

+

+In order to make a more detailed model of the reservoir, the open channel model is used, where the channel bed is +assumed to be flat (no slope). Here, the user also specifies the geometry parameters of the channel (reservoir) such as +length L and width w of the channel (reservoir), height vector H of the reservoir bed with height from the left and right +sides (should be same number in order to have flatbed), and the number of cells N for the discretization. This unit can +be initialized by the initial value of the water depth h₀ in the reservoir. +

+ +

+The ReservoirChannel unit uses the Contact connector that provides information about the +outlet pressure and the flow rate from/to the reservoir which can be connected to other waterway units. +

+", revisions="")); +end ReservoirChannel; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo new file mode 100644 index 00000000..b92f1430 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo @@ -0,0 +1,214 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Runoff "Description of Runoff (HBV) model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Runoff

+

+Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. +The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using +a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics +and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the +defined catchment areas can be found. +

+ +

+ \"HBV +

+

Figure: Structure of the HBV model.

+ +

+The model is developed for each water storage component to define the dynamics and balances of the water. In addition, +the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The +air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water +storage component are performed for each elevation zone. +

+ +
Snow Routine
+

+In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for +each elevation zone. Using the mass balance, the change in the dry snow storage volume \\(V_\\mathrm{s,d}\\), is found +as follows: +

+

+$$ \\frac{dV_\\mathrm{s,d}}{dt}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$ +

+

+Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation +in the form of snow is defined from the input precipitation flow, \\(\\dot{V}_\\mathrm{p}\\), based on the information +about the air temperature, T, a threshold temperature for snowmelt, TT, and for the area that is not covered +by lakes (the fractional area covered by the lakes, aL, is used): +

+

+$$ +\\dot{V}_\\mathrm{p,s}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}K_\\mathrm{CS}(1 - a_\\mathrm{L}), & \\mbox{if } T\\leq T_\\mathrm{T}\\\\ 0, & \\mbox{if } T>T_\\mathrm{T} \\end{cases} +$$ +

+

+Precipitation correction coefficients KCR and KCS are also used here, for the rainfall and +snowfall precipitations, respectively. Then, the flow of precipitation in the form of rain is defined as follows: +

+

+$$ +\\dot{V}_\\mathrm{p,r}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}(1 - a_\\mathrm{L}), & \\mbox{if } T>T_\\mathrm{T}\\\\ 0, & \\mbox{if } T\\leq T_\\mathrm{T} \\end{cases} +$$ +

+

+The flow of the melting snow (melting of snow from dry form to water form), \\(\\dot{V}_\\mathrm{d2w}\\), can be found +using the following expression based on the degree-day factor Kdd and the area of the elevation zone Ae: +

+

+$$ +\\dot{V}_\\mathrm{d2w}=\\begin{cases} A_\\mathrm{e}K_\\mathrm{dd}(T - T_\\mathrm{T})(1 - a_\\mathrm{L}), & \\mbox{if }T>T_\\mathrm{T}\\mbox{ and }V_\\mathrm{s,d}>0\\\\ 0, & \\mbox{otherwise} \\end{cases} +$$ +

+

+Finally, the flow out of the snow routine to the next soil moisture segment, \\(\\dot{V}_\\mathrm{s2s}\\), is found as +a sum of flows of precipitation in the form of rain, and the melted snow: +

+

+$$ \\dot{V}_\\mathrm{s2s}=\\dot{V}_\\mathrm{p,r}+\\dot{V}_\\mathrm{d2w} $$ +

+

+It should be noted that a simplification related to the threshold temperature, TT, is assumed here. This +threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented +model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow +in water form is not considered here, mostly due to the simplification with the threshold temperature. +

+ +
Soil Moisture Routine
+

+In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration +from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, +the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), is found as follows: +

+

+$$ \\frac{dV_\\mathrm{s,m}}{dt}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$ +

+

+Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) +is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define +these snow-free zones, coefficient αe is used and equals one for snow-free areas and zero for covered-by-snow +areas. The actual evapotranspiration can be found from the potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), +the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), the area of the elevation zone Ae, and the +field capacity — threshold soil (ground) moisture storage, gT: +

+

+$$ +\\dot{V}_\\mathrm{s,e}=\\begin{cases} \\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} +$$ +

+

+The potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), is defined as the input to the hydrology model, similarly +to the air temperature and precipitations. +

+ +

+The output of the soil moisture segment — the net runoff to the next segment, \\(\\dot{V}_\\mathrm{s2u}\\), can be found +based on the field capacity, gT, as follows: +

+

+$$ +\\dot{V}_\\mathrm{s2u}=\\begin{cases} \\Big(\\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\Big)^{\\beta}\\dot{V}_\\mathrm{s2s}, & \\mbox{if } 0\\leq V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{s2s}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} +$$ +

+

+Here, β is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil +moisture storage, and the net runoff from the soil moisture. Typically, β ∈ [2,3], which leads to nonlinearity in this +equation. +

+ +
Runoff Routine
+

+The upper and lower zones are combined into one segment — the runoff routine. In this segment, the runoff from the +catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and +evapotranspiration from the lakes in the catchment area are also taken into account here. +

+ +

+The upper zone characterises components with quick runoff. The following mass balance is used for the upper zone description: +

+

+$$ \\frac{dV_\\mathrm{u,w}}{dt}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$ +

+

+Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, +which defines the surface (fast) runoff, \\(\\dot{V}_\\mathrm{u2s}\\), and the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\). +\\(\\dot{V}_\\mathrm{u2l}\\) is the runoff to the lower zone and is defined by the percolation capacity, KPC, +for the area that is not covered by lakes: +

+

+$$ \\dot{V}_\\mathrm{u2l}=A_\\mathrm{e}(1-a_\\mathrm{L})K_\\mathrm{PC} $$ +

+

+The surface runoff, \\(\\dot{V}_\\mathrm{u2s}\\), can be found using the saturation threshold, sT, and the +water volume in the upper zone, \\(V_\\mathrm{u,w}\\): +

+

+$$ +\\dot{V}_\\mathrm{u2s}=\\begin{cases} a_1(V_\\mathrm{u,w}-A_\\mathrm{e}s_\\mathrm{T}), & \\mbox{if } V_\\mathrm{u,w}>A_\\mathrm{e}s_\\mathrm{T}\\\\ 0, & \\mbox{if } V_\\mathrm{u,w}\\leq A_\\mathrm{e}s_\\mathrm{T} \\end{cases} +$$ +

+

+Here, a₁ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, a₂, +is used for the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\), calculations: +

+

+$$ \\dot{V}_\\mathrm{u2q}=a_2\\min{(V_\\mathrm{u,w},A_\\mathrm{e}s_\\mathrm{T})} $$ +

+

+The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. +The following mass balance equation is used for the lower zone description: +

+

+$$ \\frac{dV_\\mathrm{l,w}}{dt}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$ +

+

+The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) +and \\(\\dot{V}_\\mathrm{e}\\) are the precipitation and the potential evapotranspiration flows, respectively. aL +is the fractional area covered by lakes. \\(\\dot{V}_\\mathrm{l2b}\\) is the base runoff from the lower zone that can be +found as follows: +

+

+$$ \\dot{V}_\\mathrm{l2b}=a_3V_\\mathrm{l,w} $$ +

+

+Here, a₃ is the recession constant similar to a₁ and a₂. +

+ +

+The total runoff from the catchment, \\(\\dot{V}_\\mathrm{tot}\\), is a sum of the base, quick, surface runoffs for each +elevation zones, and is defined as follows: +

+

+$$ \\dot{V}_\\mathrm{tot}=\\sum\\limits_{i=1}^n(\\dot{V}_{\\mathrm{l2b},i}+\\dot{V}_{\\mathrm{u2s},i}+\\dot{V}_{\\mathrm{u2q},i}) $$ +

+

+Here, the base \\(\\dot{V}_{\\mathrm{l2b},i}\\), quick \\(\\dot{V}_{\\mathrm{u2q},i}\\), and surface +\\(\\dot{V}_{\\mathrm{u2s},i}\\) runoffs are first summed up for each of the n elevation zones and then these sums of +the base, quick and surface runoffs are added together. +

+ +
Implementation
+

+This hydrology model is encoded in the OpenHPL library as the RunOff_zones unit where the main +defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector RealOutput +connector as an output from the model that can be connected to, for example, simple reservoir model Reservoir unit. +

+ +

+In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each +of the elevation zones, the standard Modelica CombiTimeTable source models are used in order to read this +data from the text files. +

+ +
Parameters
+

+When the RunOff_zones unit is in use, the user can specify the required geometry parameters for the catchment: +the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation +correction coefficients, field capacity and β parameter in soil moisture routine, threshold level for quick runoff in upper +zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and +recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where +the data for the CombiTimeTable models are stored. +

+", revisions="")); +end Runoff; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo new file mode 100644 index 00000000..2b08a2b5 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo @@ -0,0 +1,72 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class SurgeTank "Description of Surge Tank unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Surge Tank

+

+The surge shaft/tank will be presented here as a vertical open pipe with constant diameter together with manifold, +which connecting conduit, surge volume and penstock. Surge volume (vertical open pipe) is shown in the figure below. +

+ +

+ \"Surge +

+

Figure: Model for a vertical open pipe.

+ +
Mass and Momentum Balances
+

+The model for the surge volume can be described by mass and momentum balances as follows: +

+

+\\[ +\\begin{array}{c} +\\frac{dm_\\mathrm{s}}{dt} = \\dot{m}_\\mathrm{s,in} = \\rho \\dot{V}_\\mathrm{s}\\\\ +\\frac{dm_\\mathrm{s}v_\\mathrm{s}}{dt} =\\dot{m}_\\mathrm{s,in}v_\\mathrm{s,in}+F_\\mathrm{p,s}+F_\\mathrm{g,s}+F_\\mathrm{f,s} +\\end{array} +\\] +

+ +
Water Mass and Geometry
+

+Here, the mass of the water in the surge tank is \\(m_\\mathrm{s}=\\rho V_\\mathrm{s}=\\rho l_\\mathrm{s}A_\\mathrm{s}=\\rho A_\\mathrm{s}\\frac{h_\\mathrm{s}}{\\cos\\theta_\\mathrm{s}}\\), +where ρ is the water density, Vs is the volume of the water in the surge tank, hs and +ls are the height and length of the surge tank filled with water and As is the cross-section +area of the surge tank that defined from the vertical pipe diameter Ds. The water velocity +\\(v_\\mathrm{s}\\) can be defined as \\(v_\\mathrm{s}=\\dot{V}_\\mathrm{s}/A_\\mathrm{s}\\). The inlet water +velocity \\(v_\\mathrm{s,in}=\\dot{V}_\\mathrm{s}/A_\\mathrm{s}\\). +

+ +
Forces
+

+Fp,s is the pressure force, due to the difference between the inlet and outlet pressures ps,1 +and patm and can be calculated as follows: +\\(F_\\mathrm{p,s}=A_\\mathrm{s}\\left(p_\\mathrm{s,1}-p_\\mathrm{atm}\\right)\\). There is also gravity force that +is defined as \\(F_\\mathrm{g,s}=m_\\mathrm{s}g\\cos\\theta_\\mathrm{s}\\), where g is the gravitational +acceleration and θs is the angle of the slope of the surge tank and can be defined from the ratio of +height difference Hs and length Ls. The last term in the momentum balance is friction force, +which can be calculated as \\(F_\\mathrm{f,s}=-\\frac{1}{8}l_\\mathrm{s}f_\\mathrm{D,s}\\pi\\rho D_\\mathrm{s}v_\\mathrm{s}|v_\\mathrm{s}|\\) +using Darcy friction factor fD,s for the surge tank. +

+ +
Manifold
+

+The manifold is described by the preservation of mass in steady-state; the volumetric flow rate in the intake race +\\(\\dot{V}_\\mathrm{i}\\) equals to the sum of volumetric flow rates from surge volume \\(\\dot{V}_\\mathrm{s}\\) +and penstock \\(\\dot{V}_\\mathrm{p}\\): \\(\\dot{V}_\\mathrm{i}=\\dot{V}_\\mathrm{p}+\\dot{V}_\\mathrm{s}\\). +In addition, the manifold pressure is equal for all three connections. This manifold is already implemented in the +ContactNode connectors model that is used in this SurgeTank unit. Then, this unit can be +connected to other waterway units. +

+ +
Parameters and Initialization
+

+In the SurgeTank unit, the user can specify the required geometry parameters for the surge tank +(vertical pipe): length Ls, height difference Hs, diameters Ds, pipe roughness +height εs, and value for the atmospheric pressure patm. In order to define the friction force +Ff,s the Friction function is used here. This unit can be initialized by the initial values +of the flow rate \\(\\dot{V}_\\mathrm{s,0}\\) and water height hs,0. Otherwise, the user can decide on +an option when the simulation starts from the steady-state and the OpenModelica automatically handles the initial +steady-state values (does not work properly in OpenModelica). +

+", revisions="")); +end SurgeTank; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo new file mode 100644 index 00000000..edf6bab8 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo @@ -0,0 +1,18 @@ +within OpenHPL.UsersGuide.OpenHPLElements; +package WaterwayModels "Waterway Component Models" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

Waterway Models

+

+A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race, +penstock, tailrace), surge tanks, and various fittings. This section describes the models for these +waterway components. +

+ +

+ \"Hydropower +

+

Figure: Typical hydropower system structure.

+")); +end WaterwayModels; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order new file mode 100644 index 00000000..814f573e --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order @@ -0,0 +1,8 @@ +Reservoir +Fitting +Pipe +SurgeTank +PenstockKP +OpenChannel +ReservoirChannel +Runoff diff --git a/OpenHPL/UsersGuide/OpenHPLElements/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/package.mo new file mode 100644 index 00000000..607b37c1 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/package.mo @@ -0,0 +1,79 @@ +within OpenHPL.UsersGuide; +package OpenHPLElements "OpenHPL Library Elements" + extends Modelica.Icons.Information; + + annotation (Documentation(info=" +

OpenHPL Elements

+

+An overview of each element of the hydropower library OpenHPL is provided in this section. +A screenshot of OpenHPL in OpenModelica is shown in the figure below. +

+

+ \"OpenModelica +

+

Figure: Screenshot of OpenModelica with the hydropower library.

+ +
Library Structure
+

+The library is divided into various packages: +

+
+
Copyright
+
A documentation class that provides a reference to the license for this library.
+ +
UsersGuide
+
A documentation class that provides the user's guide of this library.
+ +
Data
+
A record that determines the common data set for this library. It is possible to insert this class +into models and use the common data set for the whole model.
+ +
Examples
+
A package that provides various examples of using the library for hydropower systems as well as +examples of using OpenHPL together with power system library — OpenIPSL.
+ +
Waterway
+
A package that consists of various unit models for the waterway of the hydropower system, such as +reservoirs, conduits, surge tank, pipe fittings, etc.
+ +
ElectroMech
+
A package that provides the electro-mechanical components of the hydropower system and consists of +two main sub-packages: +
+
Turbines
+
with various turbine unit models
+
Generators
+
with simplified models of a generator
+
+
+ +
Controllers
+
A package that holds a simple model for a governor of the hydropower system.
+ +
Interfaces
+
A package of gives connector interfaces for the library components.
+ +
Functions
+
A package of functions that consists of three sub-packages: +
    +
  • Fitting — Functions for calculation of pressure drop for various pipe fittings.
  • +
  • DarcyFriction — Functions to calculate the friction term in the pipe.
  • +
  • KP07 — Functions for PDEs using Kurganov-Petrova (KP) scheme.
  • +
+
+ +
Icons
+
Package of icons used in the library.
+ +
Types
+
Package of types used in the library.
+ +
Tests
+
Package of various testing models. Not guaranteed to work and meant for development only.
+
+ +

+Below, a detailed description of each unit model of the OpenHPL is provided. +

+")); +end OpenHPLElements; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/package.order b/OpenHPL/UsersGuide/OpenHPLElements/package.order new file mode 100644 index 00000000..46c4a4b7 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/package.order @@ -0,0 +1,5 @@ +Interfaces +Functions +WaterwayModels +ElectroMechModels +Governor diff --git a/OpenHPL/UsersGuide/package.mo b/OpenHPL/UsersGuide/package.mo index d46bd876..826560a3 100644 --- a/OpenHPL/UsersGuide/package.mo +++ b/OpenHPL/UsersGuide/package.mo @@ -1,17 +1,21 @@ within OpenHPL; -package UsersGuide "User's Guide" +package UsersGuide "User's Guide Version 1.0.0" extends Modelica.Icons.Information; - annotation (DocumentationClass=true, Documentation(info=" + annotation (preferredView="info", DocumentationClass=true, Documentation(info=" +

OpenHPL User's Guide

+

+ +

-OpenHPL is an open-source hydropower library that consists of hydropower unit models +OpenHPL is an open-source hydropower library that consists of hydropower unit models and is encoded in Modelica. Modelica is a multi-domain as well as a component-oriented modelling language that is suitable for complex system modelling. In order to develop the library, OpenModelica has been used as an open-source Modelica-based modelling and simulation environment.

-This hydropower library, OpenHPL, provides the capability for the modelling of hydro- +This hydropower library, OpenHPL, provides the capability for the modelling of hydro- power systems of different complexity. The library includes the following units:

    @@ -26,17 +30,32 @@ water inflow to the reservoirs.
  1. Mechanistic models, as well as simple look-up table turbine models are implemented for the Francis and Pelton turbine types. The Francis turbine model also includes a turbine design algorithm that gives all of the needed parameters for the model, -based on the turbine’s nominal operating values. +based on the turbine's nominal operating values.
  2. The capability for multiphysics connections and work with other libraries is ensured, -e.g., connecting with the Open-Instance Power System Library OpenIPSL makes it +e.g., connecting with the Open-Instance Power System Library OpenIPSL makes it possible to model the electrical part for the hydropower system.

-A more detailed description is presented in +A more detailed description is presented in the following subsections of this User's Guide, the User's Guide PDF -and [Vytvytskyi2019]. +and the PhD thesis [Vytvytskyi2019]. +

+ +
User's Guide Contents
+ + +
Acknowledgements
+

+This work is supported by the Norwegian Research Council under the project \"Hydropower Systems Design and Analysis\" (HydroCen Grant No. 257588).

")); end UsersGuide; diff --git a/OpenHPL/UsersGuide/package.order b/OpenHPL/UsersGuide/package.order index e8b3eff0..8cde990c 100644 --- a/OpenHPL/UsersGuide/package.order +++ b/OpenHPL/UsersGuide/package.order @@ -1,2 +1,7 @@ +Introduction +Installation +OpenHPLElements +Examples +BasicExample ReleaseNotes References diff --git a/OpenHPL/Waterway/package.order b/OpenHPL/Waterway/package.order index d3808165..2262353f 100644 --- a/OpenHPL/Waterway/package.order +++ b/OpenHPL/Waterway/package.order @@ -15,3 +15,4 @@ VolumeFlowSource Penstock OpenChannel ReservoirChannel +TestJS \ No newline at end of file From c15f11adb2cecd119437f83e118ce5b1263c7628 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Wed, 11 Feb 2026 12:25:30 +0100 Subject: [PATCH 2/8] Step 2: Update to current status --- OpenHPL/Resources/Images/Governor.png | Bin 0 -> 49746 bytes OpenHPL/Resources/Images/hydrology.png | Bin 0 -> 53014 bytes OpenHPL/Resources/Images/surgepic.png | Bin 0 -> 19119 bytes OpenHPL/UsersGuide/Examples/package.mo | 34 ++- .../ElectroMechModels/Governor.mo | 157 ++++++++++++ .../OpenHPLElements/ElectroMechModels/Grid.mo | 168 +++++++++++++ .../OpenHPLElements/ElectroMechModels/MCB.mo | 235 ++++++++++++++++++ .../ElectroMechModels/package.order | 3 + .../WaterwayModels/BendPipe.mo | 85 +++++++ .../WaterwayModels/DraftTube.mo | 72 ++++++ .../OpenHPLElements/WaterwayModels/Gate.mo | 108 ++++++++ .../WaterwayModels/PenstockKP.mo | 9 + .../OpenHPLElements/WaterwayModels/Valve.mo | 87 +++++++ .../WaterwayModels/VolumeFlowSource.mo | 83 +++++++ .../WaterwayModels/package.order | 5 + OpenHPL/Waterway/package.order | 3 +- 16 files changed, 1046 insertions(+), 3 deletions(-) create mode 100644 OpenHPL/Resources/Images/Governor.png create mode 100644 OpenHPL/Resources/Images/hydrology.png create mode 100644 OpenHPL/Resources/Images/surgepic.png create mode 100644 OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo create mode 100644 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zo;_Q={PN3sb&zr6#%U{85d1*IRtPn?0Z9L%`#$aj{I={XEG*PZ>ad~%xwrAOYu8Sv zhp}uuVl4=MAYvj1X`YgVy_R{Qqt^|4sJERn+6X83o- zg&_Eeh^-J>a0?LV!ZpyZUq8L{I0A}gOGVkpkt0=)9zCq1t6_Bp*0vI%75qlTRtPP) z09YNB{8}o;5Yiz-hG^Hp(MKPx7bFw}QxLHgLW!MifNz#y7_I^FzX~QJVk?A_EnBu| z|LlwzGjzei^5x65@Ct&dh}a6D1FM$I1Jb=Zbm*Wiy67UcX3ZM4a^*_v2thCpX|X6| zB%?=k-nYC9CyhAKoA*1-}tFN@ku3EK9`+6z!{p6ERw52QvULs;E zWE8j>mMmGKa&mIisi&T*R;*Z|-y^(&;3eWl5HbooV}U$dHg115`@JA|g@~;n2!aoY n8$l2R!3RWa1wjxzN2&h@aL7Mf@jN$+00000NkvXXu0mjf&L<=} literal 0 HcmV?d00001 diff --git a/OpenHPL/UsersGuide/Examples/package.mo b/OpenHPL/UsersGuide/Examples/package.mo index 85ed781f..6059bbd5 100644 --- a/OpenHPL/UsersGuide/Examples/package.mo +++ b/OpenHPL/UsersGuide/Examples/package.mo @@ -5,7 +5,39 @@ package Examples "Examples of hydropower systems" annotation (Documentation(info="

Examples

-Here, various models that have been assembled in the Examples class are described. +This section describes various example models demonstrating the use of OpenHPL components to build complete hydropower system models. These examples progressively introduce complexity from simple turbine models to detailed electromechanical systems with grid integration. +

+ +
Organization
+

+OpenHPL provides examples in two packages: +

+
    +
  • OpenHPL.Examples: Ready-to-run example models demonstrating basic usage of individual components +(e.g., SimpleTurbine, SimpleGen, BranchingPipes, Gate, VolumeFlowSource, etc.)
  • +
  • OpenHPLTest: Comprehensive test cases and case studies including validation models, detailed system +configurations, and integration examples with OpenIPSL (e.g., HPSimplePenstockFrancis, HPElasticKPPenstock, etc.)
  • +
+ +
Example Models Documented in this Section
+

+The examples documented below are from the OpenHPLTest package and represent typical hydropower system configurations +of varying complexity. They are organized as follows: +

+
    +
  • Simple models (HPSimple, HPSimpleGenerator, HPSimpleFrancis): Basic configurations using simplified +component models for initial design and conceptual studies
  • +
  • Detailed models (HPDetailed, HPDetailedGenerator, HPDetailedFrancis): Advanced configurations with +elastic penstock models (KP method), detailed turbine characteristics, and realistic system dynamics
  • +
  • Grid integration models (HPSimpleFrancisIPSLGen, HPSimpleFrancisGridGen, etc.): Examples demonstrating +integration with electrical grid models using either simplified Grid model or OpenIPSL library components
  • +
  • Specialized models (HPSimpleOpenChannel): Examples showcasing specific OpenHPL features like open +channel flow modeling
  • +
+ +

+Users starting with OpenHPL should first explore the simple examples to understand basic modeling concepts, then progress +to detailed and grid integration examples as needed for their applications.

", revisions="")); end Examples; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo new file mode 100644 index 00000000..132ec305 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo @@ -0,0 +1,157 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class Governor "Description of Governor unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Governor/Controller Model

+

+The Governor unit implements a turbine governor system for controlling guide vane position and regulating +turbine output. Governors are essential control systems in hydropower plants that maintain stable operation, +regulate frequency, and respond to load changes. +

+ +
Control Structure
+

+The governor model consists of several interconnected control blocks representing a typical hydropower governor system: +

+
    +
  • Pilot Servomotor: First-order transfer function with time constant \\(T_p\\)
  • +
  • Main Servomotor: Integrator with time constant \\(T_g\\)
  • +
  • Transient Droop: Transfer function with time constant \\(T_r\\) and transient droop \\(\\delta\\)
  • +
  • Permanent Droop: Proportional feedback with droop coefficient
  • +
  • Rate Limiters: Constrain guide vane opening and closing rates
  • +
  • Position Limiters: Limit guide vane position between 0 (closed) and 1 (fully open)
  • +
+ +
Control Law
+

+The governor implements a PID-like control strategy with droop compensation: +

+

+$$ Y_{gv} = f(P_{ref}, P, f, f_{ref}) $$ +

+

+where: +

+
    +
  • \\(Y_{gv}\\): Guide vane opening (0-1) [-]
  • +
  • \\(P_{ref}\\): Reference power setpoint [W]
  • +
  • \\(P\\): Actual electrical power output [W]
  • +
  • \\(f\\): Actual grid frequency [Hz]
  • +
  • \\(f_{ref}\\): Reference frequency (typically 50 or 60 Hz) [Hz]
  • +
+ +
Key Parameters
+

+The governor model requires careful tuning of several parameters: +

+ +

Time Constants:

+
    +
  • \\(T_p\\): Pilot servomotor time constant (typically 0.02-0.08 s)
  • +
  • \\(T_g\\): Main servomotor time constant (typically 0.1-0.5 s)
  • +
  • \\(T_r\\): Transient droop time constant (typically 1-10 s)
  • +
+ +

Droop Settings:

+
    +
  • Permanent droop: Steady-state droop (typically 2-6% or 0.02-0.06)
  • +
  • Transient droop \\(\\delta\\): Temporary droop during transients (typically 0.02-0.10)
  • +
+ +

Rate Limits:

+
    +
  • \\(\\dot{Y}_{gv,max}\\): Maximum opening rate [1/s]
  • +
  • \\(\\dot{Y}_{gv,min}\\): Maximum closing rate (negative value) [1/s]
  • +
+ +

Nominal Conditions:

+
    +
  • \\(P_n\\): Nominal/rated power [W]
  • +
  • \\(Y_{gv,ref}\\): Initial guide vane opening [-]
  • +
  • \\(f_{ref}\\): Reference frequency [Hz]
  • +
+ +
Droop Characteristic
+

+The droop characteristic defines how frequency deviation relates to power output. The permanent droop creates +a steady-state relationship: +

+

+$$ \\Delta f = -R \\cdot \\frac{\\Delta P}{P_n} \\cdot f_{ref} $$ +

+

+where \\(R\\) is the droop coefficient. For example, 5% droop means a 100% load change causes a 2.5 Hz +frequency change (for 50 Hz systems) or 3 Hz (for 60 Hz systems). +

+ +
Transient Droop
+

+The transient droop \\(\\delta\\) provides temporary additional droop during fast transients to improve +system stability and reduce overshoot. It decays with time constant \\(T_r\\), eventually leaving only +the permanent droop effect. +

+ +
Look-up Table
+

+The governor includes a look-up table that can represent: +

+
    +
  • Nonlinear relationships between power reference and guide vane position
  • +
  • Efficiency optimization curves
  • +
  • Operating constraints at different power levels
  • +
+ +
Inputs and Outputs
+

+The governor model has the following interfaces: +

+
    +
  • Inputs: +
      +
    • P_ref: Power reference signal [per-unit or W]
    • +
    • f: Grid frequency measurement [Hz]
    • +
    +
  • +
  • Output: +
      +
    • Y_gv: Guide vane opening command (0-1) [-]
    • +
    +
  • +
+ +
Applications
+

+The governor model is essential for: +

+
    +
  • Frequency regulation and primary control studies
  • +
  • Load rejection and acceptance transient analysis
  • +
  • Grid stability studies with hydropower participation
  • +
  • Controller tuning and optimization
  • +
  • Black start and islanded operation scenarios
  • +
  • Coordination with other grid components
  • +
+ +
Integration with OpenIPSL
+

+The Governor model is designed to work seamlessly with: +

+
    +
  • OpenHPL turbine and generator models
  • +
  • OpenIPSL synchronous generators and power system models
  • +
  • External grid models for co-simulation studies
  • +
+ +
Tuning Guidelines
+

+Proper governor tuning is critical for stable operation: +

+
    +
  • Start with conservative (slower) time constants
  • +
  • Increase droop if system shows oscillations
  • +
  • Adjust transient droop to balance response speed vs. stability
  • +
  • Verify rate limits match physical actuator capabilities
  • +
  • Validate against field test data when available
  • +
+", revisions="")); +end Governor; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo new file mode 100644 index 00000000..cbf40c8f --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo @@ -0,0 +1,168 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class Grid "Electrical Grid Model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Grid - Mechanical Grid Equivalent Model

+ +
Purpose
+

+The Grid model represents a simplified mechanical equivalent of an electrical power grid. This model simulates grid behavior using frequency-power droop characteristics and is essential for studying hydropower plant responses to grid disturbances or load variations without requiring detailed electrical network modeling. +

+ +
Model Formulation
+

+The grid model implements primary frequency control using two alternative parameterizations - either the network power-frequency characteristic Lambda (\\(\\Lambda\\)) or an equivalent droop setting Rgrid. The relationship between these parameters is: +

+ +

+$$\\Lambda = \\frac{P_{grid}}{R_{grid} \\cdot f_0}$$ +

+ +

where:

+
    +
  • \\(\\Lambda\\) is the network power-frequency characteristic (bias factor) [MW/Hz]
  • +
  • Pgrid is the active power capacity of the grid [W]
  • +
  • Rgrid is the equivalent droop setting of the grid [per unit]
  • +
  • f0 is the nominal frequency (50 or 60 Hz)
  • +
+ +
Network Power-Frequency Characteristic
+

+The grid frequency responds to power imbalances according to: +

+ +

+$$\\Delta f = -\\frac{1}{\\Lambda}(P_{load} - P_{gen})$$ +

+ +

+where \\(\\Delta f\\) is the frequency deviation from nominal, Pload is the electrical load demand, and Pgen is the generated power from the hydropower plant. +

+ +
Self-Regulation Effect
+

+Frequency-dependent loads (motors, inductive loads) cause the system load to vary with frequency. This self-regulation effect is modeled using parameter \\(\\mu\\) [%/Hz]: +

+ +

+$$\\Delta P' = \\mu \\cdot \\frac{P}{100} \\cdot \\Delta f$$ +

+ +

where:

+
    +
  • \\(\\mu\\) is the self-regulation effect of the load [%/Hz]
  • +
  • \\(\\Delta P'\\) is the change in power consumption due to frequency change [W]
  • +
  • P is the original load of the system [W]
  • +
+ +

+The total load power becomes: \\(P_{total} = P_{load} + \\Delta P'\\). Typical values for \\(\\mu\\) range from 0 to 2%/Hz depending on the load composition. +

+ +
Droop Characteristic
+

+The droop setting Rgrid determines how much frequency deviation occurs for a given power imbalance: +

+ +

+$$\\Delta f = -R_{grid} \\cdot \\frac{\\Delta P}{P_{grid}} \\cdot f_0$$ +

+ +

+Smaller droop values indicate stiffer grids (large \\(\\Lambda\\)) that experience small frequency deviations for significant power changes. Typical Rgrid values are 0.04-0.10 (4-10%). For interconnected continental grids, equivalent droops can be much smaller (0.01-0.02). +

+ +
Parameters
+
    +
  • Pgrid: Active power capacity of the grid [W]. Default: 1e9 W (1 GW). Represents the total generation capacity that participates in frequency regulation.
  • +
  • useLambda: Boolean selector (default: false) +
      +
    • If true: Specify \\(\\Lambda\\) directly
    • +
    • If false: Specify Rgrid and \\(\\Lambda\\) is computed
    • +
    +
  • +
  • Lambda: Network power-frequency characteristic [MW/Hz]. Enabled when useLambda=true. Typical values: 50-5000 MW/Hz depending on grid size.
  • +
  • Rgrid: Equivalent droop setting [per unit]. Enabled when useLambda=false. Default: 0.1 (10%). Range: 0.01 (strong grid) to 0.2 (weak grid).
  • +
  • mu: Self-regulation effect [%/Hz]. Default: 0. Typical range: 0-2%/Hz. Industrial grids with many motors may have higher values (1-2%/Hz), while grids dominated by resistive loads have lower values (0-0.5%/Hz).
  • +
+ +
Inputs/Outputs
+
    +
  • Input: Pload (RealInput) - Electrical load power demand [W]. Can be constant or time-varying to simulate load changes or disturbances.
  • +
  • Mechanical Interface: Rotational flange connected to generator shaft. The model converts frequency deviation to equivalent mechanical torque.
  • +
+ +
Applications
+
    +
  • Primary frequency response studies: Evaluate how hydropower plant responds to sudden load changes or generation trips in the grid.
  • +
  • Governor tuning: Test governor performance with realistic grid dynamics without full electrical network model.
  • +
  • Island operation studies: Model small isolated grids (weak grids with high Rgrid) supplied by hydropower.
  • +
  • Interconnected grid studies: Model large continental grids (strong grids with low Rgrid) with high inertia.
  • +
  • Load rejection scenarios: Simulate loss of load and resulting frequency/speed excursion.
  • +
  • Sensitivity analysis: Study impact of grid strength (\\(\\Lambda\\)) on plant transient behavior.
  • +
+ +
Implementation Notes
+
    +
  • The model extends BaseClasses.Power2Torque to convert electrical power imbalance to mechanical torque on the generator shaft.
  • +
  • Grid is represented as infinite bus with mechanical dynamics - frequency changes but voltage magnitude remains constant.
  • +
  • Model assumes generator is already synchronized to grid (use MCB model for connection/disconnection events).
  • +
  • The model uses outer Data data to access nominal frequency f0 and other system parameters.
  • +
  • Maximum power capacity is set to 1.2×Pgrid to accommodate transient overloads.
  • +
+ +
Typical Parameterization Examples
+ +

Large continental grid (European ENTSO-E or North American interconnection):

+
    +
  • Pgrid = 100 GW to 1 TW (total participating capacity)
  • +
  • Rgrid = 0.01-0.02 (1-2%) or Lambda = 2500-5000 MW/Hz
  • +
  • mu = 1%/Hz (moderate self-regulation)
  • +
  • Result: Very stiff grid, small frequency excursions
  • +
+ +

Regional interconnected grid (Nordic Grid, UK Grid):

+
    +
  • Pgrid = 10-50 GW
  • +
  • Rgrid = 0.04-0.06 (4-6%) or Lambda = 400-1250 MW/Hz
  • +
  • mu = 0.5-1.5%/Hz
  • +
  • Result: Moderate stiffness, observable frequency transients
  • +
+ +

Island or isolated grid:

+
    +
  • Pgrid = 100 MW to 1 GW
  • +
  • Rgrid = 0.08-0.15 (8-15%) or Lambda = 30-600 MW/Hz
  • +
  • mu = 0-1%/Hz (depends on load type)
  • +
  • Result: Weak grid, significant frequency deviations during transients
  • +
+ +
Relation to OpenIPSL
+

+For more detailed electrical grid modeling including voltage dynamics, reactive power, multi-machine stability, and detailed protection systems, use OpenIPSL (Open-Instance Power System Library) in combination with OpenHPL. The Grid model in OpenHPL provides a simplified mechanical equivalent suitable for: +

+
    +
  • Cases where electrical transients are not of primary interest
  • +
  • Early design phase studies focusing on hydraulic/mechanical dynamics
  • +
  • Computational efficiency when electrical detail is not required
  • +
  • Educational purposes to understand frequency-power relationships
  • +
+ +
Limitations
+
    +
  • No voltage dynamics - only frequency/power relationship modeled
  • +
  • Single equivalent representation - cannot model multi-area or multi-machine interactions
  • +
  • No reactive power/voltage control
  • +
  • No protection systems or relay actions
  • +
  • Linear droop characteristic - does not capture deadbands or nonlinear effects
  • +
+ +
See Also
+
+")); +end Grid; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo new file mode 100644 index 00000000..b261361e --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo @@ -0,0 +1,235 @@ +within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; +class MCB "Main Circuit Breaker Model" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

MCB - Main Circuit Breaker Model

+ +
Purpose
+

+The MCB (Main Circuit Breaker) model represents a mechanical equivalent of an electrical circuit breaker used to connect or disconnect a generator from the electrical grid. This component is essential for simulating startup procedures, shutdown sequences, synchronization processes, and emergency disconnection events in hydropower systems. +

+ +
Operating Principle
+

+The MCB model uses a controlled clutch mechanism to couple the generator shaft to the grid shaft. The clutch can open (disconnect) or close (connect) based on time-scheduled events and synchronization conditions. When closed, mechanical torque and power are transmitted between generator and grid. When open, the generator operates independently (island mode or startup). +

+ +
Synchronization Logic
+

+Before closing the MCB to connect the generator to the grid, the model verifies that the speed difference between generator and grid is sufficiently small. The synchronization condition is: +

+ +

+$$|\\omega_{gen} - \\omega_{grid}| \\leq \\Delta\\omega_{max}$$ +

+ +

where:

+
    +
  • \\(\\omega_{gen}\\) is the angular velocity of the generator shaft [rad/s]
  • +
  • \\(\\omega_{grid}\\) is the angular velocity of the grid [rad/s]
  • +
  • \\(\\Delta\\omega_{max} = 2\\pi \\cdot \\Delta_{speed} \\cdot f_0\\) is the maximum allowable speed difference [rad/s]
  • +
  • \\(\\Delta_{speed}\\) is the maximum allowed speed difference parameter [per unit]
  • +
  • f0 is the nominal frequency (50 or 60 Hz)
  • +
+ +
Control Logic
+

+The MCB operates using an RS flip-flop logic with the following states: +

+ +
    +
  • OPEN (Initial state): Generator disconnected from grid. Generator can run at independent speed.
  • +
  • CLOSE Command at t = t_close: When simulation time reaches tclose AND speed difference condition is satisfied, the MCB closes. Closing occurs gradually over 0.01 seconds (soft engagement).
  • +
  • CLOSED (Operating state): Generator mechanically coupled to grid. Generator and grid rotate at same speed.
  • +
  • OPEN Command at t = t_open: When simulation time reaches topen, the MCB opens regardless of speed difference. Opening is immediate for emergency trip simulation.
  • +
+ +

+The logic implements: CLOSE = (time ≥ t_close) AND (speed_diff_ok) and OPEN = (time ≥ t_open). +

+ +
Parameters
+
    +
  • t_close: Time at which the MCB should close [s]. Default: 100 s. This represents when the generator has been brought up to speed and synchronization is attempted. Typical values: 50-300 s depending on startup procedure.
  • + +
  • t_open: Time at which the MCB should open [s]. Default: 300 s. This simulates disconnection events such as: +
      +
    • Scheduled shutdown
    • +
    • Emergency trip due to fault
    • +
    • Load rejection (generator trips offline)
    • +
    • Protection system activation
    • +
    + Set to large value (e.g., 1e6) if disconnection is not desired during simulation. +
  • + +
  • deltaSpeed: Maximum allowed speed difference for closing the MCB [per unit]. Default: 0.01 (1%). This ensures the generator is close to synchronous speed before connection. Typical range: +
      +
    • 0.001-0.005 (0.1-0.5%): Strict synchronization for large machines
    • +
    • 0.01 (1%): Standard synchronization criterion
    • +
    • 0.02-0.05 (2-5%): Relaxed criterion for smaller machines or educational models
    • +
    + Too tight: MCB may never close if generator speed oscillates around synchronous speed
    + Too loose: Connection causes mechanical shock and excessive transient torque +
  • +
+ +
Inputs/Outputs
+
    +
  • genFlange (Flange_a): Rotational connection to generator shaft. Receives generator torque and speed.
  • +
  • gridFlange (Flange_b): Rotational connection to grid equivalent model. Transmits torque to/from grid.
  • +
+ +
Applications
+
    +
  • Startup sequence simulation: Model bringing generator from standstill to synchronous speed, then synchronizing to grid. +
      +
    1. t = 0-tclose: MCB open, governor brings turbine/generator to near-synchronous speed
    2. +
    3. t = tclose: MCB closes when speed condition met, generator connects to grid
    4. +
    5. t > tclose: Normal operation, generator supplies power to grid
    6. +
    +
  • + +
  • Load rejection studies: Simulate sudden disconnection of generator from grid at t = topen. Evaluate: +
      +
    • Speed/frequency excursion after disconnection
    • +
    • Governor response to reject load quickly
    • +
    • Water hammer effects in penstock
    • +
    • Overspeed protection activation
    • +
    +
  • + +
  • Island operation: MCB opens at topen, generator continues operating disconnected from main grid, supplying isolated load.
  • + +
  • Reclosing sequences: Simulate fault clearing and automatic reclosing by setting tclose < topen < treclose (requires multiple MCB instances or modified logic).
  • + +
  • Synchronization failure analysis: If deltaSpeed is too strict or governor tuning poor, MCB may not close - helps identify control issues.
  • + +
  • Mechanical stress analysis: Evaluate shaft torques during connection/disconnection events.
  • +
+ +
Implementation Notes
+
    +
  • The MCB uses Modelica Standard Library's Clutch component with very high maximum friction force (fn_max = 1e12) to ensure rigid coupling when closed.
  • +
  • A RelSpeedSensor continuously measures speed difference between generator and grid sides.
  • +
  • The TriggeredTrapezoid block provides soft engagement over 0.01 seconds when closing to avoid numerical discontinuities.
  • +
  • RS flip-flop ensures MCB remains closed once synchronized, even if speed difference temporarily exceeds threshold during transients.
  • +
  • MCB can only close once per simulation run (at tclose) unless additional control logic is added.
  • +
  • The model uses inner Data data to access nominal frequency f0 for speed difference calculations.
  • +
+ +
Typical Usage Scenarios
+ +

Scenario 1: Normal startup and continuous operation

+
    +
  • t_close = 100 s (synchronize after governor brings unit to speed)
  • +
  • t_open = 1e6 s (no disconnection during simulation)
  • +
  • deltaSpeed = 0.01 (1% synchronization tolerance)
  • +
  • Result: Generator connects at t=100s and remains connected
  • +
+ +

Scenario 2: Load rejection test

+
    +
  • t_close = 100 s (synchronize and operate normally)
  • +
  • t_open = 300 s (trip generator offline)
  • +
  • deltaSpeed = 0.01
  • +
  • Result: Normal operation 100-300s, then sudden disconnection at 300s
  • +
  • Observe: Frequency spike, governor response, penstock pressure transient
  • +
+ +

Scenario 3: Synchronization difficulty study

+
    +
  • t_close = 100 s
  • +
  • t_open = 1e6 s
  • +
  • deltaSpeed = 0.001 (very strict 0.1% tolerance)
  • +
  • Poorly tuned governor oscillates around synchronous speed
  • +
  • Result: MCB may delay closing until speed stabilizes, or never close if oscillations persist
  • +
  • Helps identify need for governor tuning improvements
  • +
+ +

Scenario 4: Island to grid-connected transition

+
    +
  • t = 0-100s: Generator supplies local island load with MCB open
  • +
  • t = 100s: Grid becomes available, MCB closes to connect island to main grid
  • +
  • t > 100s: Generator participates in main grid frequency regulation
  • +
+ +
Modeling Considerations
+
    +
  • Electrical vs Mechanical Representation: This is a mechanical equivalent. Real MCBs operate on electrical side with voltage/phase angle checking. This model uses speed (frequency) as proxy for synchronization.
  • + +
  • Simplified Synchronization: Real synchronization requires matching: +
      +
    • Phase angle (represented here as speed/frequency)
    • +
    • Voltage magnitude (not modeled - assumed matched by AVR)
    • +
    • Phase sequence (not modeled - assumed correct)
    • +
    +
  • + +
  • Closing Time: The 0.01 s rising time for clutch engagement is for numerical smoothness. Real circuit breakers close in 0.05-0.2 seconds (3-12 cycles at 50/60 Hz).
  • + +
  • Generator Model Selection: Use with SimpleGen for simplified studies or SynchGen for more detailed electromechanical dynamics including swing equation.
  • + +
  • Grid Model Requirements: MCB requires both generator-side and grid-side rotational connections. Typically: +
      +
    • genFlange ← connected to SynchGen or SimpleGen
    • +
    • gridFlange ← connected to Grid model or detailed electrical network
    • +
    +
  • +
+ +
Troubleshooting
+ +

Problem: MCB never closes (simulation reaches t_close but connection doesn't occur)

+
    +
  • Cause: Speed difference exceeds deltaSpeed threshold continuously
  • +
  • Solutions: +
      +
    • Check governor is properly tuned and bringing generator to synchronous speed
    • +
    • Increase deltaSpeed parameter (relax synchronization criterion)
    • +
    • Adjust governor droop, time constants, or power setpoint
    • +
    • Verify grid frequency is at nominal value (50 or 60 Hz)
    • +
    +
  • +
+ +

Problem: Large torque spike when MCB closes

+
    +
  • Cause: deltaSpeed too large, significant speed mismatch at connection
  • +
  • Solutions: +
      +
    • Reduce deltaSpeed for stricter synchronization
    • +
    • Improve governor tuning to minimize speed oscillations
    • +
    • Increase rising time in TriggeredTrapezoid for softer engagement (if numerically stable)
    • +
    +
  • +
+ +

Problem: Numerical issues (solver convergence problems) at MCB closing/opening

+
    +
  • Cause: Discontinuous clutch engagement creates numerical challenges
  • +
  • Solutions: +
      +
    • Use solver with event handling (Dassl, Cvode)
    • +
    • Reduce solver tolerance
    • +
    • The 0.01 s rising time helps smooth transition
    • +
    +
  • +
+ +
Extensions and Advanced Usage
+
    +
  • Multiple disconnection events: Use multiple MCB models in series or modify control logic for reclosing sequences
  • +
  • External control: Replace time-based triggering with external Boolean signals for protection system integration
  • +
  • Voltage synchronization: For detailed studies, combine with OpenIPSL electrical models that check voltage magnitude and phase angle
  • +
  • Breaker failure: Modify logic to simulate failure to open/close for protection coordination studies
  • +
+ +
See Also
+

+OpenHPL.ElectroMech.PowerSystem.MCB, +OpenHPL.ElectroMech.PowerSystem.Grid, +OpenHPL.ElectroMech.Generators.SynchGen, +OpenHPL.Controllers.Governor +

+")); +end MCB; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order index d084e3a8..36349419 100644 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order +++ b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order @@ -3,3 +3,6 @@ Francis Pelton SimpleGenerator SynchronizeGenerator +Governor +Grid +MCB diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo new file mode 100644 index 00000000..69f8bf21 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo @@ -0,0 +1,85 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class BendPipe "Description of Bend Pipe unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Pipe Bends

+

+The BendPipe unit models the head loss that occurs when water flows through a bend or elbow in a piping system. +Pipe bends are common in hydropower installations where the conduit path must change direction, and the associated +energy losses can be significant, especially at high flow velocities. +

+ +
Loss Mechanism
+

+Flow through a bend creates secondary flows and flow separation, resulting in minor head losses. These losses are +typically expressed using a loss coefficient \\(K_L\\): +

+

+$$ \\Delta p = K_L \\cdot \\frac{1}{2} \\rho v^2 $$ +

+

+where: +

+
    +
  • \\(\\Delta p\\): Pressure drop across the bend [Pa]
  • +
  • \\(K_L\\): Loss coefficient (dimensionless) [-]
  • +
  • \\(\\rho\\): Water density [kg/m³]
  • +
  • \\(v\\): Flow velocity [m/s]
  • +
+ +
Loss Coefficient
+

+The loss coefficient \\(K_L\\) depends on several factors: +

+
    +
  • Bend angle (45°, 90°, etc.)
  • +
  • Bend radius ratio (\\(r/D\\), where \\(r\\) is bend radius and \\(D\\) is pipe diameter)
  • +
  • Flow Reynolds number
  • +
  • Bend type (flanged, threaded, mitered)
  • +
  • Surface roughness
  • +
+ +
Typical Loss Coefficient Values
+

+The model documentation includes reference values from standard fluid mechanics literature: +

+ + + + + + + +
Fitting TypeTypical \\(K_L\\)
90° flanged elbow (r/D = 1)0.3
90° threaded elbow1.5
90° mitered elbow1.1
45° flanged elbow0.2
180° return bend2.2
+

+Note: Values may vary based on manufacturer specifications and installation conditions. Users should utilize manufacturer +data when available. +

+ +
Model Parameters
+
    +
  • \\(K_L\\): Loss coefficient (user-specified or from manufacturer) [-]
  • +
  • \\(D_i\\): Inlet pipe diameter [m]
  • +
  • \\(D_o\\): Outlet pipe diameter [m] (typically equal to \\(D_i\\) for bends)
  • +
+ +
Applications
+

+Accurate modeling of bend losses is important for: +

+
    +
  • Detailed hydraulic system analysis
  • +
  • Pressure profile calculations along complex conduit layouts
  • +
  • Optimization of piping layouts to minimize losses
  • +
  • Validation against field measurements
  • +
  • Economic analysis of different routing options
  • +
+ +
Implementation Notes
+

+The BendPipe model is similar to the general Fitting model but is specifically tailored for +pipe bends with appropriate default values and documentation. It simplifies the setup when modeling systems +with multiple directional changes. +

+", revisions="")); +end BendPipe; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo new file mode 100644 index 00000000..f234b734 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo @@ -0,0 +1,72 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class DraftTube "Description of Draft Tube unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Draft Tube

+

+The draft tube is a critical component in reaction turbines (Francis, Kaplan) that connects the turbine runner outlet to the +tailrace. Its primary function is to convert residual kinetic energy from the turbine into pressure energy, thereby improving +overall turbine efficiency and enabling installation of the turbine above tailwater level. +

+ +
Draft Tube Types
+

+The OpenHPL library includes models for two types of draft tubes: +

+
    +
  • Conical Diffuser: A simple conical expanding tube with gradually increasing diameter
  • +
  • Moody Spreading Pipe: A more complex design with main and branch sections, commonly used in larger installations
  • +
+ +
Model Implementation
+

+The draft tube model is based on mass and momentum conservation. Key features include: +

+
    +
  • Variable cross-sectional area from inlet (Di) to outlet (Do)
  • +
  • Pressure recovery through area expansion
  • +
  • Friction losses along the tube walls
  • +
  • Support for inclined installation (angle \\(\\theta\\))
  • +
  • Different geometrical configurations depending on draft tube type
  • +
+ +
Conical Diffuser Parameters
+

+For the conical diffuser type: +

+
    +
  • \\(H\\): Vertical height of the diffuser [m]
  • +
  • \\(L\\): Slant height of the diffuser [m]
  • +
  • \\(D_i\\): Inlet diameter [m]
  • +
  • \\(D_o\\): Outlet diameter [m]
  • +
  • \\(\\theta\\): Inclination angle [°]
  • +
  • Diffusion angle: Typically 8° for optimal performance
  • +
+ +
Moody Spreading Pipe Parameters
+

+For the Moody spreading pipe configuration: +

+
    +
  • \\(L_m\\): Length of main section [m]
  • +
  • \\(L_b\\): Length of branch section [m]
  • +
  • \\(\\theta_{moody}\\): Branching angle (15°, 30°, 45°, 60°, or 90°)
  • +
+ +
Application
+

+The draft tube model is essential for accurate simulation of reaction turbine systems. It affects: +

+
    +
  • Overall plant efficiency by recovering kinetic energy
  • +
  • Cavitation characteristics at the turbine outlet
  • +
  • Dynamic response during transient operations
  • +
  • Pressure pulsations and hydraulic stability
  • +
+ +

+The model is particularly important when studying load rejection scenarios, start-up/shutdown sequences, or when +optimizing turbine installation elevation relative to tailwater. +

+", revisions="")); +end DraftTube; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo new file mode 100644 index 00000000..02788a0a --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo @@ -0,0 +1,108 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Gate "Description of Gate unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Sluice and Tainter Gates

+

+The Gate unit models hydraulic gates used for flow control in hydropower systems and water management +structures. The library includes models for both sluice gates (vertical gates) and tainter gates (radial gates) +based on established hydraulic engineering principles. +

+ +
Gate Types
+

+Two main gate configurations are supported: +

+
    +
  • Sluice Gate: Vertical gate that slides up and down (\\(\\alpha = 90°\\))
  • +
  • Tainter/Radial Gate: Curved gate pivoting around a horizontal axis above the gate
  • +
+ +
Flow Modeling
+

+The gate discharge is calculated using the standard weir equation with correction coefficients: +

+

+$$ \\dot{V} = \\chi \\cdot \\mu_A \\cdot A \\cdot \\sqrt{2g h_0} $$ +

+

+where: +

+
    +
  • \\(\\dot{V}\\): Volume flow rate [m³/s]
  • +
  • \\(\\chi\\): Back-up coefficient (accounts for downstream submergence) [-]
  • +
  • \\(\\mu_A\\): Discharge coefficient [-]
  • +
  • \\(A\\): Gate opening area (\\(A = a \\cdot b\\)) [m²]
  • +
  • \\(g\\): Gravitational acceleration [m/s²]
  • +
  • \\(h_0\\): Upstream water level above gate bottom [m]
  • +
  • \\(a\\): Gate opening height [m]
  • +
  • \\(b\\): Gate width [m]
  • +
+ +
Discharge Coefficient
+

+The discharge coefficient \\(\\mu_A\\) is calculated as: +

+

+$$ \\mu_A = \\frac{\\psi}{\\sqrt{1 + \\psi a / h_0}} $$ +

+

+where \\(\\psi\\) is the contraction coefficient, which depends on the gate type: +

+
    +
  • Sluice gate: \\(\\psi = \\frac{1}{1 + 0.64\\sqrt{1-(a/h_0)^2}}\\)
  • +
  • Tainter gate: \\(\\psi = 1.3 - 0.8\\sqrt{1 - ((\\alpha_{deg}-205)/220)^2}\\) where \\(\\alpha\\) is the gate edge angle
  • +
+ +
Flow Regimes
+

+The model automatically distinguishes between two flow regimes: +

+
    +
  • Free flow (\\(\\chi = 1\\)): When downstream water level is below the critical level
  • +
  • Submerged/backed-up flow (\\(\\chi < 1\\)): When downstream water level affects the discharge
  • +
+

+The critical level for free flow is: +

+

+$$ h_{2,limit} = \\frac{a\\psi}{2}\\left(\\sqrt{1 + \\frac{16}{\\psi(1+\\psi a/h_0)} \\cdot \\frac{h_0}{a}} - 1\\right) $$ +

+ +
Tainter Gate Geometry
+

+For tainter gates, additional geometric parameters are required: +

+
    +
  • \\(r\\): Radius of the gate arm [m]
  • +
  • \\(h_h\\): Height of the hinge above gate bottom [m]
  • +
  • \\(\\alpha\\): Edge angle of the gate, calculated as: \\(\\alpha = \\frac{\\pi}{2} - \\arcsin\\left(\\frac{h_h - a}{r}\\right)\\)
  • +
+ +
Control Interface
+

+The gate model has a RealInput connector for the gate opening a [m], allowing +dynamic control of the gate position during simulation. +

+ +
Applications
+

+Gate models are essential for: +

+
    +
  • Spillway operation and flood control
  • +
  • Intake gate operation in hydropower systems
  • +
  • Canal and irrigation system control
  • +
  • Emergency shutdown procedures
  • +
  • Water level regulation in reservoirs
  • +
+ +
References
+

+The gate model is based on the hydraulic formulations presented in: +

+
    +
  • [Bollrich2019]: Bollrich, G. and Preißler, G., \"Technische Hydromechanik 2\", Beuth Verlag, 2019
  • +
+", revisions="")); +end Gate; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo index 4905b30e..23016178 100644 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo @@ -4,6 +4,15 @@ class PenstockKP "Elastic Penstock with KP Method" annotation (Documentation(info="

Pipe with Compressible Water and Elastic Walls

+ +
+Note on Model Evolution: The older Penstock model using the Staggered Grid scheme +is now marked as obsolete and should not be used for new models. The PenstockKP model documented +here, which implements the more accurate and numerically stable KP (Kurganov-Petrova) method, is the recommended +choice for all elastic penstock modeling. Existing models using Penstock should be migrated to +PenstockKP for improved accuracy and reliability. +
+

Unlike simple conduits, the penstock has considerable pressure variation due to considerable height drop. To make the model more realistic, compressible water and elastic walls are taken into account using diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo new file mode 100644 index 00000000..565324c6 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo @@ -0,0 +1,87 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class Valve "Description of Valve unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Hydraulic Valve

+

+The Valve unit provides a simple model of a hydraulic valve for controlling water flow in hydropower systems. +The model is based on energy balance principles and can represent various types of control valves such as butterfly +valves, spherical valves, or needle valves. +

+ +
Model Formulation
+

+The valve model uses a valve-like flow expression relating flow rate to pressure drop: +

+

+$$ \\dot{V} = C_v \\cdot u \\cdot \\sqrt{\\frac{2\\Delta p}{\\rho}} $$ +

+

+where: +

+
    +
  • \\(\\dot{V}\\): Volume flow rate [m³/s]
  • +
  • \\(C_v\\): Valve capacity coefficient [m²]
  • +
  • \\(u\\): Valve opening signal (0 = closed, 1 = fully open) [-]
  • +
  • \\(\\Delta p\\): Pressure drop across the valve [Pa]
  • +
  • \\(\\rho\\): Water density [kg/m³]
  • +
+ +
Valve Capacity
+

+The valve capacity \\(C_v\\) can be specified in two ways: +

+
    +
  1. Direct specification: User provides \\(C_v\\) directly from manufacturer data
  2. +
  3. Calculated from nominal conditions: \\(C_v\\) is computed from nominal head \\(H_n\\) and nominal flow rate \\(\\dot{V}_n\\)
  4. +
+ +
Efficiency
+

+The valve model can account for energy losses through an efficiency parameter \\(\\eta\\): +

+
    +
  • Constant efficiency: Single value (0 to 1)
  • +
  • Variable efficiency: Look-up table based on valve opening
  • +
+

+The valve power loss is calculated as: +

+

+$$ \\dot{W}_{loss} = \\dot{V} \\cdot \\Delta p \\cdot (1 - \\eta) $$ +

+ +
Control Interface
+

+The valve has a RealInput connector called opening that accepts control signals: +

+
    +
  • opening = 0: Valve completely closed
  • +
  • opening = 1: Valve fully open
  • +
  • Intermediate values: Partial opening
  • +
+ +
Applications
+

+The valve model is useful for: +

+
    +
  • Emergency shutdown scenarios
  • +
  • Flow regulation and control studies
  • +
  • Load rejection analysis
  • +
  • Testing different valve closing strategies to minimize water hammer
  • +
  • Bypass systems in hydropower plants
  • +
+ +
Parameters
+

+Key parameters for the valve model: +

+
    +
  • \\(C_v\\): Valve capacity coefficient [m²]
  • +
  • \\(H_n\\): Nominal head [m] (if \\(C_v\\) is calculated)
  • +
  • \\(\\dot{V}_n\\): Nominal flow rate [m³/s] (if \\(C_v\\) is calculated)
  • +
  • \\(\\eta\\): Valve efficiency [-] or efficiency table
  • +
+", revisions="")); +end Valve; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo new file mode 100644 index 00000000..f4c2cd35 --- /dev/null +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo @@ -0,0 +1,83 @@ +within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; +class VolumeFlowSource "Description of Volume Flow Source unit" + extends Modelica.Icons.Information; + annotation (Documentation(info=" +

Volume Flow Source

+

+The VolumeFlowSource unit provides a boundary condition that prescribes a specified volume flow rate at +a connection point. This is particularly useful for testing individual components, validating models against +experimental data, or representing external flow sources with known characteristics. +

+ +
Operating Modes
+

+The flow source can operate in two modes: +

+
    +
  • Fixed flow rate: Constant volume flow rate specified by parameter
  • +
  • Variable flow rate: Time-varying flow rate controlled through an input signal connector
  • +
+ +
Mathematical Formulation
+

+The volume flow source imposes a flow rate condition: +

+

+$$ \\dot{V}(t) = \\dot{V}_{specified}(t) $$ +

+

+while the pressure at the source is determined by the connected system. This represents an \"ideal\" flow source +where the flow rate is maintained regardless of system pressure (within physical limits). +

+ +
Parameters and Inputs
+

+Key configuration options: +

+
    +
  • Fixed mode: Constant flow rate \\(\\dot{V}\\) [m³/s]
  • +
  • Variable mode: RealInput connector for external flow control
  • +
  • Option to enable/disable flow variation
  • +
+ +
Applications
+

+The VolumeFlowSource unit is useful for: +

+
    +
  • Component Testing: Isolate and test turbines, valves, or other components with controlled flow input
  • +
  • Model Validation: Drive models with measured flow rate time series from field data
  • +
  • Sensitivity Studies: Investigate system response to various flow patterns
  • +
  • Simplified Upstream Representation: Replace complex upstream waterway with equivalent flow source
  • +
  • Forced Response Analysis: Apply specific flow disturbances to study dynamic behavior
  • +
  • Runoff Modeling: Represent inflow from catchment areas or tributaries
  • +
+ +
Usage Example
+

+A typical application is testing a turbine model. Instead of modeling the complete waterway from reservoir +through penstock, use a VolumeFlowSource to directly supply the turbine with a specified flow rate, +simplifying the model while focusing on turbine dynamics. +

+ +
Implementation Notes
+

+When using variable flow rate mode with an input signal: +

+
    +
  • Connect the signal using Modelica.Blocks sources (Step, Ramp, Table, etc.)
  • +
  • Ensure smooth transitions to avoid numerical issues
  • +
  • The flow rate should remain within physically reasonable bounds
  • +
+ +
Limitations
+

+The ideal flow source assumption means: +

+
    +
  • It can theoretically supply infinite pressure if needed to maintain flow
  • +
  • Not suitable for representing real pumps or turbines with characteristic curves
  • +
  • Should not be used in closed loops without pressure-defining boundaries
  • +
+", revisions="")); +end VolumeFlowSource; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order index 814f573e..bd510af0 100644 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order +++ b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order @@ -1,8 +1,13 @@ Reservoir Fitting +BendPipe Pipe SurgeTank PenstockKP OpenChannel ReservoirChannel Runoff +DraftTube +Valve +Gate +VolumeFlowSource diff --git a/OpenHPL/Waterway/package.order b/OpenHPL/Waterway/package.order index 2262353f..8b413664 100644 --- a/OpenHPL/Waterway/package.order +++ b/OpenHPL/Waterway/package.order @@ -14,5 +14,4 @@ RunOff_zones_input VolumeFlowSource Penstock OpenChannel -ReservoirChannel -TestJS \ No newline at end of file +ReservoirChannel \ No newline at end of file From f98d7c30f0f5c921f80bb0cea8ac4a0f7c06fa05 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Fri, 13 Feb 2026 15:35:09 +0100 Subject: [PATCH 3/8] Step 3: Merged the converted documentation into the relevant classes runoffdoc --- OpenHPL/Controllers/Governor.mo | 34 ++- OpenHPL/ElectroMech/BaseClasses/BaseValve.mo | 10 +- OpenHPL/ElectroMech/Generators/SimpleGen.mo | 47 +++- OpenHPL/ElectroMech/Generators/SynchGen.mo | 72 +++++- OpenHPL/ElectroMech/Turbines/Francis.mo | 70 ++++-- OpenHPL/ElectroMech/Turbines/Pelton.mo | 53 +++- OpenHPL/ElectroMech/Turbines/Turbine.mo | 62 +++-- OpenHPL/Functions/DarcyFriction/package.mo | 96 ++++++- OpenHPL/Functions/Fitting/package.mo | 93 +++++++ OpenHPL/Functions/KP07/package.mo | 86 ++++++- OpenHPL/Interfaces/package.mo | 53 ++++ .../Resources/Images/.vscode/settings.json | 3 - OpenHPL/Resources/Images/Library.png | Bin 80094 -> 0 bytes OpenHPL/Resources/Images/STAirCushion.svg | 84 ++----- OpenHPL/Resources/Images/darcyf.png | Bin 18799 -> 0 bytes OpenHPL/Resources/Images/ghosts.png | Bin 50745 -> 0 bytes OpenHPL/Resources/Images/kp.png | Bin 32891 -> 0 bytes OpenHPL/Resources/Images/penstock.png | Bin 23716 -> 0 bytes OpenHPL/Resources/Images/surgepic.png | Bin 19119 -> 0 bytes OpenHPL/UsersGuide/BasicExample/Flowsheet.mo | 53 ---- .../UsersGuide/BasicExample/OMPythonAPI.mo | 66 ----- OpenHPL/UsersGuide/BasicExample/package.mo | 12 - OpenHPL/UsersGuide/BasicExample/package.order | 2 - OpenHPL/UsersGuide/Examples/HPDetailed.mo | 15 -- .../UsersGuide/Examples/HPDetailedFrancis.mo | 15 -- .../Examples/HPDetailedGenerator.mo | 15 -- OpenHPL/UsersGuide/Examples/HPSimple.mo | 14 -- .../UsersGuide/Examples/HPSimpleFrancis.mo | 14 -- .../Examples/HPSimpleFrancisGridGen.mo | 15 -- .../Examples/HPSimpleFrancisIPSLGen.mo | 15 -- .../Examples/HPSimpleFrancisIPSLGenGov.mo | 15 -- .../Examples/HPSimpleFrancisIPSLGenInfBus.mo | 16 -- .../UsersGuide/Examples/HPSimpleGenerator.mo | 15 -- .../Examples/HPSimpleOpenChannel.mo | 15 -- OpenHPL/UsersGuide/Examples/package.mo | 43 ---- OpenHPL/UsersGuide/Examples/package.order | 11 - OpenHPL/UsersGuide/Installation.mo | 57 ----- OpenHPL/UsersGuide/Introduction.mo | 36 --- .../ElectroMechModels/Francis.mo | 57 ----- .../ElectroMechModels/Governor.mo | 157 ------------ .../OpenHPLElements/ElectroMechModels/Grid.mo | 168 ------------- .../OpenHPLElements/ElectroMechModels/MCB.mo | 235 ------------------ .../ElectroMechModels/Pelton.mo | 74 ------ .../ElectroMechModels/SimpleGenerator.mo | 49 ---- .../ElectroMechModels/SynchronizeGenerator.mo | 97 -------- .../ElectroMechModels/Turbine.mo | 43 ---- .../ElectroMechModels/package.mo | 12 - .../ElectroMechModels/package.order | 8 - .../OpenHPLElements/Functions/Fitting.mo | 97 -------- .../OpenHPLElements/Functions/FrictionTerm.mo | 102 -------- .../OpenHPLElements/Functions/KPScheme.mo | 89 ------- .../OpenHPLElements/Functions/package.mo | 11 - .../OpenHPLElements/Functions/package.order | 3 - .../UsersGuide/OpenHPLElements/Governor.mo | 34 --- .../UsersGuide/OpenHPLElements/Interfaces.mo | 104 -------- .../WaterwayModels/BendPipe.mo | 85 ------- .../WaterwayModels/DraftTube.mo | 72 ------ .../OpenHPLElements/WaterwayModels/Fitting.mo | 19 -- .../OpenHPLElements/WaterwayModels/Gate.mo | 108 -------- .../WaterwayModels/OpenChannel.mo | 74 ------ .../WaterwayModels/PenstockKP.mo | 70 ------ .../OpenHPLElements/WaterwayModels/Pipe.mo | 60 ----- .../WaterwayModels/Reservoir.mo | 41 --- .../WaterwayModels/ReservoirChannel.mo | 19 -- .../OpenHPLElements/WaterwayModels/Runoff.mo | 214 ---------------- .../WaterwayModels/SurgeTank.mo | 72 ------ .../OpenHPLElements/WaterwayModels/Valve.mo | 87 ------- .../WaterwayModels/VolumeFlowSource.mo | 83 ------- .../OpenHPLElements/WaterwayModels/package.mo | 18 -- .../WaterwayModels/package.order | 13 - OpenHPL/UsersGuide/OpenHPLElements/package.mo | 79 ------ .../UsersGuide/OpenHPLElements/package.order | 5 - OpenHPL/UsersGuide/package.mo | 32 +-- OpenHPL/UsersGuide/package.order | 5 - OpenHPL/Waterway/OpenChannel.mo | 51 +++- OpenHPL/Waterway/PenstockKP.mo | 80 ++++-- OpenHPL/Waterway/Pipe.mo | 103 +++++--- OpenHPL/Waterway/Reservoir.mo | 37 ++- OpenHPL/Waterway/ReservoirChannel.mo | 23 +- OpenHPL/Waterway/RunOff_zones.mo | 212 +++++++++++++++- OpenHPL/Waterway/SurgeTank.mo | 67 +++-- OpenHPL/Waterway/Valve.mo | 59 +++-- OpenHPL/Waterway/package.mo | 15 +- OpenHPL/Waterway/package.order | 2 +- 84 files changed, 1158 insertions(+), 3194 deletions(-) delete mode 100644 OpenHPL/Resources/Images/.vscode/settings.json delete mode 100644 OpenHPL/Resources/Images/Library.png delete mode 100644 OpenHPL/Resources/Images/darcyf.png delete mode 100644 OpenHPL/Resources/Images/ghosts.png delete mode 100644 OpenHPL/Resources/Images/kp.png delete mode 100644 OpenHPL/Resources/Images/penstock.png delete mode 100644 OpenHPL/Resources/Images/surgepic.png delete mode 100644 OpenHPL/UsersGuide/BasicExample/Flowsheet.mo delete mode 100644 OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo delete mode 100644 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a/OpenHPL/Controllers/Governor.mo +++ b/OpenHPL/Controllers/Governor.mo @@ -126,10 +126,36 @@ equation //else // der(Y_gv) = u / T_g; //end if; - annotation ( - Documentation(info=" -

This is a simple model of the governor that controls the guide vane - opening in the turbine based on the reference power production.

+ annotation (Documentation(info=" +

Governor

+

+Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power +production is described. The block diagram of this governor model is shown in the figure. +

+ +

+ \"Governor +

+

Figure: Block Diagram of the governor.

+ +
Implementation
+

+Using the model in the figure and the standard Modelica blocks, the governor model is encoded in our library as the +Governor unit. This unit has inputs as the reference power production and generator frequency that are implemented +with the standard Modelica RealInput connector. This Governor unit also uses the standard Modelica +RealOutput connectors in order to provide output information about the turbine guide vane opening. +

+ +
Parameters
+

+In the Governor unit (note: in the text it mentions SynchGen but this appears to be a typo in the +original document - should be Governor), the user can specify the various time constants of this model (see +figure): pilot servomotor time constant Tp, primary servomotor integration time Tg, and transient +droop time constant Tr. The user should also provide the following parameters: droop value σ, transient droop δ, +and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide +vane opening should also be specified. +

+

The model is taken from [Sharefi2011].

")); end Governor; diff --git a/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo b/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo index 389a0b21..4e9ef91a 100644 --- a/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo +++ b/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo @@ -45,17 +45,13 @@ This is a partial, simple model of hydraulic valve.  

This model is b

Specifically:

-
-dp*f(opening)=v|v|
-
+

$$ \\Delta p \\cdot f(\\mathrm{opening}) = \\nu \\cdot | \\nu | $$

The function f(opening) is expressed as:

-
-(C_v_*max(epsilon, u^alpha))^2
-
+

$$ f(\\mathrm{opening}) = \\left( C_\\mathrm{v} \\cdot \\mathrm{max}(\\epsilon, u^\\alpha\\right)^2 $$

-When alpha is 1, this implies a linear relation between closing and head loss. +When \\(\\alpha\\) is 1, this implies a linear relation between closing and head loss.

The valve capacity can either be specified directly by the user by specifying C_v or it will be calculated from diff --git a/OpenHPL/ElectroMech/Generators/SimpleGen.mo b/OpenHPL/ElectroMech/Generators/SimpleGen.mo index a16d06d8..26965f67 100644 --- a/OpenHPL/ElectroMech/Generators/SimpleGen.mo +++ b/OpenHPL/ElectroMech/Generators/SimpleGen.mo @@ -15,18 +15,49 @@ model SimpleGen "Model of a simple generator with mechanical connectors" annotation ( Documentation(info= " -

Simple model of an ideal generator with friction.

+

Simple Generator Model

+

Simple model of an ideal generator with friction based on angular momentum balance.

-

This model based on the angular momentum balance, which depends on the turbine shaft power, - the friction loss in the unit rotation and the power taken up by the generator.

-

-The generator can be loaded either:

+
Energy Balance
+

The kinetic energy stored in the rotating generator is \\(K_a = \\frac{1}{2}J_a\\omega_a^2\\), +where ωa is angular velocity and Ja is moment of inertia.

+ +

From energy balance:

+

$$ \\frac{dK_a}{dt} = \\dot{W}_s - \\dot{W}_{f,a} - \\dot{W}_g $$

+

where:

+
    +
  • s is turbine shaft power
  • +
  • f,a is frictional power loss
  • +
  • g is power taken by generator
  • +
+ +
Friction
+

Frictional power loss (mainly from bearings):

+

$$ \\dot{W}_{f,a} = \\frac{1}{2}k_{f,b}\\omega_a^2 $$

+

where kf,b is the bearing friction factor.

+ +
Electric Power
+

Electric power available on grid:

+

$$ \\dot{W}_e = \\eta_e \\dot{W}_g $$

+

where ηe is electrical efficiency.

+ +
Loading Options
+

The generator can be loaded either:

    -
  • via the mechanical shaft connector (e.g., using the -Grid model). - The input Pload should be set to 0 in this case.
  • +
  • via the mechanical shaft connector (e.g., using the Grid model). +Set Pload input to 0 in this case.
  • or via the input connector Pload specifying the connected electrical load.
+ +
Connectors
+
    +
  • RealInput: grid power (Pload) and shaft power
  • +
  • RealOutput: angular velocity and frequency
  • +
+ +
Parameters
+

User specifies: moment of inertia, electrical efficiency, bearing friction factor, number of poles, and initial angular velocity.

+

diff --git a/OpenHPL/ElectroMech/Generators/SynchGen.mo b/OpenHPL/ElectroMech/Generators/SynchGen.mo index 30998707..aeea3c05 100644 --- a/OpenHPL/ElectroMech/Generators/SynchGen.mo +++ b/OpenHPL/ElectroMech/Generators/SynchGen.mo @@ -109,8 +109,72 @@ equation // - W_fa; // annotation ( - Documentation(info= "

This is a model of the generator that is connected to the grid. - This model could give some transient results. However, it is better to use generator models from IPSL.

-

More info about this model can be found in [Sharefi2011].

- ")); + Documentation(info= " +

Synchronous Generator Model

+

Detailed synchronous generator model connected to the grid, based on d-q decomposition.

+ +
Voltage-Current Relation
+

$$ \\left[\\begin{matrix}R_a+R_e & x_q'+x_e\\\\ -x_d'-x_e & R_a+R_e\\end{matrix}\\right]\\left[\\begin{matrix}I_d \\\\ I_q\\end{matrix}\\right]= \\left[\\begin{matrix}E_d'+V_s\\sin\\delta_e \\\\ E_q'-V_s\\cos\\delta_e\\end{matrix}\\right] $$

+

where:

+
    +
  • \\(R_a\\) and \\(R_e\\) are phase winding and equivalent network resistances
  • +
  • \\(x_d\\), \\(x_q\\), \\(x_d'\\), \\(x_q'\\) are d-/q-axis normal and transient reactances
  • +
  • \\(x_e\\) is equivalent network reactance
  • +
  • \\(I_d\\), \\(I_q\\) are d-/q-axis currents
  • +
  • \\(E_d'\\), \\(E_q'\\) are d-/q-axis transient voltages
  • +
  • \\(V_s\\) is network RMS voltage
  • +
  • \\(\\delta_e\\) is phase shift angle
  • +
+ +
Phase Shift Angle Dynamics
+

$$ \\frac{d\\delta_e}{dt} = (\\omega - \\omega_s)\\frac{n_p}{2} $$

+

where \\(n_p\\) is number of poles, \\(\\omega\\) and \\(\\omega_s\\) are generator and grid angular velocities.

+ +
Swing Equation
+

$$ \\frac{d\\omega}{dt}=\\frac{\\dot{W}_s-P_e}{J\\omega} $$

+ +
Transient Operation
+

$$ +\\begin{array}{c} +T_{qo}'\\frac{dE_d'}{dt} =-E_d' + (x_q' - x_q)I_q \\\\ +T_{do}'\\frac{dE_q'}{dt} = -E_q' + (x_d - x_d')I_d + E_f +\\end{array} +$$

+

where \\(T_{do}'\\) and \\(T_{qo}'\\) are d-/q-axis transient open-circuit time constants.

+ +
Excitation System
+

Field voltage dynamics:

+

$$ \\frac{dE_f}{dt} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$

+

where \\(K_E\\) is excitation system gain, \\(T_E\\) is excitation time constant, \\(V_{tr}\\) is voltage reference set point, +and \\(V_t = \\sqrt{\\left(E_d'-R_aI_d-x_q'I_q\\right)^2+\\left(E_q'-R_aI_q+x_d'I_d\\right)^2}\\) is terminal voltage.

+ +
Stabilization
+

$$ \\frac{dV_{stab}}{dt} = \\frac{-V_{stab} + K_F\\frac{dE_f}{dt}}{T_{FE}} $$

+

where \\(K_F\\) is stabilizer gain and \\(T_{FE}\\) is stabilizer time constant.

+ +
Output Power
+

Active and reactive power:

+

$$ +\\begin{array}{c} +P_e = 3\\left(E_d'I_d+E_q'I_q\\right)\\\\ +Q_e = \\sqrt{9V_t^2I_t^2-P_e^2} +\\end{array} +$$

+

where \\(I_t=\\sqrt{I_d^2+I_q^2}\\) is terminate current.

+ +
Connectors
+
    +
  • RealInput: turbine shaft power
  • +
  • RealOutput: angular velocity and frequency
  • +
+ +
Parameters
+

User specifies: nominal active/reactive powers, phase winding resistance, number of poles, network parameters +(equivalent resistance/reactance, RMS voltage, grid angular velocity), d-/q-axis reactances and time constants, +field voltage limits, excitation/stabilizer gains and time constants, moment of inertia, friction factor, and +initialization options.

+ +

Note: For more advanced modeling, consider using generator models from OpenIPSL.

+

More details in [Sharefi2011].

+")); end SynchGen; diff --git a/OpenHPL/ElectroMech/Turbines/Francis.mo b/OpenHPL/ElectroMech/Turbines/Francis.mo index 2a59fe54..2fd9a8b4 100644 --- a/OpenHPL/ElectroMech/Turbines/Francis.mo +++ b/OpenHPL/ElectroMech/Turbines/Francis.mo @@ -214,34 +214,64 @@ equation connect(p_out, P_out) annotation (Line(points={{40,90},{40,110}}, color={0,0,127})); annotation ( Documentation(info=" -

-This is the Francis turbine model that gives possibilities for proper modelling of the Francis turbine. -

-

The mechanistic model is based on Euler equations for the Francis turbine. -Besides hydraulic input and output, there are input as the control signal for the valve opening -and also output as the turbine shaft power and input as angular velocity. -

+

Francis Turbine Model

+ +

This is the Francis turbine model that gives possibilities for proper modelling of the Francis turbine. +The mechanistic model is based on Euler equations for the Francis turbine.

+ +

Besides hydraulic input and output, there are input as the control signal for the valve opening +and also output as the turbine shaft power and input as angular velocity.

+

+

Figure: Key quantities in the Francis turbine model showing inlet (1) and outlet (2) sections.

+ +
Euler Turbine Equations
+ +

The shaft power produced by the turbine is given by:

+

$$ \\dot{W}_s = \\dot{m}\\omega \\left(R_1\\frac{\\dot{V}}{A_1}\\cot{\\alpha_1} - R_2\\left(\\omega R_2 + \\frac{\\dot{V}}{A_2}\\cot{\\beta_2}\\right)\\right) $$

+ +

where ṁ and V̇ are mass and volumetric flow rates, ω is angular velocity, R1 and R2 +are inlet and outlet radii, A1 and A2 are cross-sectional areas, α1 is +inlet guide vane angle, and β2 is outlet blade angle.

+ +
Total Work and Efficiency
+ +

The total work rate is:

+

$$ \\dot{W}_t = \\dot{W}_s + \\dot{W}_{ft} + \\Delta p_v \\dot{V} $$

+

where Ẇft represents various friction losses (shock, whirl, wall friction), +and ΔpvV̇ accounts for guide vane pressure drop. Turbine efficiency \\(\\eta = \\dot{W}_s / \\dot{W}_t\\).

+ +
Turbine Design Algorithm
+

There is also available the runner design algorithm that can define all geometrical -parameters based on the nominal parameters.

The turbine losses coefficients -(k_ft1, k_ft2, k_ft3) can be also defined automatically. -However, if some dynamic data from real turbine is available it is better to tune -these parameters a bit more and use the defined values as a starting point. -

-

A model for servo that that runs the guide vane opening is also available. -Furthermore it is possible to automatically generate all need parameters for the servo, - or simply specify them. -

-

-This mechanistic turbine model does not work really well for low loads (<10% guide vane opening). +parameters based on the nominal parameters (net head, flow rate, power, speed). +The algorithm determines: outlet blade angle β2, runner radii R1 and R2, +runner width w1, and inlet blade angle β1.

+ +

The turbine losses coefficients (k_ft1, k_ft2, k_ft3) can be also +defined automatically. However, if some dynamic data from real turbine is available it is better to tune +these parameters a bit more and use the defined values as a starting point.

+ +
Guide Vane Actuation
+ +

A model for servo that runs the guide vane opening is also available. A guide vane opening model relates +actuator position Y to guide vane angle α1 through geometric relationships. Furthermore it is +possible to automatically generate all needed parameters for the servo, or simply specify them.

+ +
Low Load Performance
+ +

This mechanistic turbine model does not work really well for low loads (<10% guide vane opening). However there is parameters that could be tuned for low load regimes. These are u_min and k_ft4.

+
More Information
+

More info about the mechanistic turbine model can be found in: -[Vytvytskyi2018] and about -the servo (also turbine model) in: +[Vytvytskyi2018] and +[Vytvytskyi2019]. +Additional details about the servo (and turbine model) are in: Resources/Documents/Turbines_model.pdf.

")); end Francis; diff --git a/OpenHPL/ElectroMech/Turbines/Pelton.mo b/OpenHPL/ElectroMech/Turbines/Pelton.mo index 57870521..ae178949 100644 --- a/OpenHPL/ElectroMech/Turbines/Pelton.mo +++ b/OpenHPL/ElectroMech/Turbines/Pelton.mo @@ -58,16 +58,51 @@ equation connect(p_out, P_out) annotation (Line(points={{40,90},{40,110}}, color={0,0,127})); annotation ( Documentation(info=" -

This is a model of the Pelton turbine. -This model is based on the Euler turbine equation. -

-

-The model has not been tested.

+

Pelton Turbine Model

+

Mechanistic Pelton turbine model based on the Euler turbine equation and impulse turbine principles.

+

- -

-

More info about the model can be found in: -Resources/Documents/Turbines_model.pdf +\"Pelton

+

Figure: Key concepts of the Pelton turbine.

+ +
Shaft Power
+

The shaft power \\(\\dot{W}_s\\) produced in the Pelton turbine is:

+

$$ \\dot{W}_s=\\dot{m}v_R\\left[\\delta(u_\\delta)\\cdot v_1-v_R\\right]\\left(1-k\\cos\\beta\\right) $$

+

where:

+
    +
  • \\(\\dot{m}\\) is the mass flow rate through the turbine
  • +
  • \\(v_R = \\omega R\\) is the reference velocity (\\(R\\) = radius of rotor where flow hits the bucket, \\(\\omega\\) = angular velocity constrained by grid frequency)
  • +
  • \\(v_1=\\frac{\\dot{V}}{A_1}\\) is water velocity at position \"1\" (end of nozzle), with \\(\\dot{V}\\) = volumetric flow rate and \\(A_1\\) = cross-sectional area
  • +
  • \\(\\beta\\) is the reflection angle (typically \\(\\beta= 165^{\\circ}\\))
  • +
  • \\(k<1\\) is a friction factor (typically \\(k\\in[0.8, 0.9]\\))
  • +
  • \\(\\delta(u_\\delta)\\) represents deflector mechanism to reduce velocity and avoid over-speed
  • +
+ +
Total Work and Friction Losses
+

Total work rate removed through the turbine:

+

$$ {\\dot{W}_t} = {\\dot{W}_s+\\dot{W}_{ft}} $$

+

Friction losses:

+

$$ \\dot{W}_{ft}=K\\left(1-k\\cos\\beta\\right)\\dot{m}v_R^2 $$

+

with friction coefficient \\(K=0.25\\).

+ +
Nozzle Pressure Drop
+

Pressure drop across the nozzle (positions \"0\" and \"1\"):

+

$$ \\Delta p_n=\\frac{1}{2}\\rho\\dot{V}\\left[\\dot{V}\\left(\\frac{1}{A_1^2(Y)}-\\frac{1}{A_0^2}\\right)+k_f\\right] $$

+

where \\(A_0\\) is cross-sectional area at nozzle beginning, \\(A_1(Y)\\) is area at nozzle end (function of needle position Y), +and \\(k_f\\) is the nozzle friction loss coefficient.

+ +
Connectors
+
    +
  • TurbineContacts for connection to waterway and electro-mechanical units
  • +
  • RealInput connector for angular velocity (typically from generator)
  • +
+ +
Parameters
+

User specifies: turbine runner radius, nozzle input diameter, runner bucket angle, friction factors and coefficients, +deflector mechanism coefficient.

+ +

Note: This model has not been tested.

+

More info in: Resources/Documents/Turbines_model.pdf

")); end Pelton; diff --git a/OpenHPL/ElectroMech/Turbines/Turbine.mo b/OpenHPL/ElectroMech/Turbines/Turbine.mo index 690df2c5..e2bc9010 100644 --- a/OpenHPL/ElectroMech/Turbines/Turbine.mo +++ b/OpenHPL/ElectroMech/Turbines/Turbine.mo @@ -45,33 +45,47 @@ equation connect(u_t, u) annotation (Line(points={{-80,120},{-80,90},{0,90},{0,70}},color={0,0,127})); annotation ( Documentation(info=" -

-This is a simple model of the turbine that give possibilities for simplified -modelling of the turbine unit. The model can use a constant efficiency or varying -efficiency from a lookup-table. -This model does not include any information about rotational speed of the runner. -

-

-This model is based on the energy balance and a simple valve-like expression. -The guide vane 'valve capacity' should be used for this valve-like expression and can either be specified -directly by the user by specifying C_v or it will be calculated from -the Nominal turbinenet head H_n and nominal flow rate -Vdot_n. -

-

-The turbine efficiency is in per-unit values from 0 to 1, where 1 means that there are no losses in the turbine. -The output mechanical power is defined as multiplication of the turbine efficiency and the total possible power: -

-
-
turbine_pressure_drop * turbine_flow_rate
-
-

Besides hydraulic input and output, -there are inputs as the control signal for the valve opening and also output as the turbine shaft power. -

+

Simple Turbine Model

+ +

This is a simple model of the turbine that gives possibilities for simplified +modelling of the turbine unit. The model is based on a look-up table for turbine efficiency +vs. guide vane opening.

-

References

More info about the model can be found in: Resources/Report/Report.docx

+

+

Figure: Simple turbine model schematic.

+ +
Power Calculation
+ +

The mechanical turbine shaft power is:

+

$$ \\dot{W}_\\mathrm{tr} = \\eta_\\mathrm{h} \\Delta p_\\mathrm{tr} \\dot{V}_\\mathrm{tr} $$

+

where ηh is hydraulic efficiency (from lookup table or constant value), +Δptr is pressure drop, and V̇tr is volumetric flow rate.

+ +

The turbine efficiency is in per-unit values from 0 to 1, where 1 means that there are +no losses. The model can use a constant efficiency or varying efficiency from a lookup-table.

+ +
Flow Relationship
+ +

This model is based on the energy balance and a simple valve-like expression. +The turbine flow rate relates to pressure drop through:

+

$$ \\dot{V}_\\mathrm{tr} = C_\\mathrm{v} u_\\mathrm{v} \\sqrt{\\frac{\\Delta p_\\mathrm{tr}}{p^\\mathrm{atm}}} $$

+

where Cv is the guide vane \"valve capacity\", uv is guide vane opening +signal (0 to 1), and patm is atmospheric pressure.

+ +

The guide vane valve capacity can either be specified directly by the user via C_v +or it will be calculated from the nominal turbine net head H_n and nominal flow rate +Vdot_n.

+ +
Usage
+ +

Besides hydraulic input and output, there are inputs as the control signal for the valve +opening and also output as the turbine shaft power.

+ +
More Information
+

More info about the model can be found in: Resources/Report/Report.docx +and [Vytvytskyi2019].

"), Icon(graphics={Text( visible=enable_P_out, extent={{30,100},{50,80}}, diff --git a/OpenHPL/Functions/DarcyFriction/package.mo b/OpenHPL/Functions/DarcyFriction/package.mo index 0c874cf1..26e94069 100644 --- a/OpenHPL/Functions/DarcyFriction/package.mo +++ b/OpenHPL/Functions/DarcyFriction/package.mo @@ -4,6 +4,100 @@ package DarcyFriction "Functions to define the Darcy friction factor and frictio annotation ( Documentation(info = " -

Functions to define the Darcy friction factor and friction Force, which is based on this coefficient.

+

Friction Term

+

+First, the functions for defining the friction force in the waterway are described. The friction force +Ff is directed in the opposite direction of the velocity v (the linear velocity average across +the cross-section of the pipe) of the fluid. A common expression for friction force in the filled pipes +is the following: +

+

+$$ F_\\mathrm{f} = -\\frac{1}{8}\\pi\\rho LDf_\\mathrm{D}v|v| $$ +

+

+Here, L and D are related to the pipe length and diameter, respectively. fD is a Darcy friction +factor that is a function of Reynolds number NRe, with the roughness ratio ε/D as a parameter. +

+ +

+ \"Darcy +

+

Figure: Darcy friction factor as a function of the Reynolds number.

+ +
Flow Regimes
+

+The turbulent region (NRe > 2.3×10³) is a flow regime where the velocity across the pipe has +a stochastic nature, and where the velocity v is relatively uniform across the pipe when we average the +velocity over some short period of time. The laminar region (NRe < 2.1×10³) is a flow regime +with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the +pipe wall and maximal velocity at the centre of the pipe. +

+ +
Laminar Flow
+

+Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height ε. For +laminar flow in a cylindrical pipe (NRe < 2.1×10³), the Darcy friction factor fD +can be found using the following expression: +

+

+$$ f_\\mathrm{D} = \\frac{64}{N_\\mathrm{Re}} $$ +

+

+Here, the Reynolds number is found as follows: \\(N_\\mathrm{Re}=\\frac{\\rho|v|D}{\\mu}\\), where μ is the fluid viscosity. +

+ +
Turbulent Flow
+

+For turbulent flow (NRe > 2.3×10³), the Darcy friction factor is expressed as: +

+

+$$ f_\\mathrm{D} = \\frac{1}{\\left(2\\log_{10}\\left(\\frac{\\epsilon}{3.7D} + \\frac{5.74}{N_\\mathrm{Re}^{0.9}}\\right)\\right)^2} $$ +

+ +
Transition Zone
+

+In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a +cubic polynomial interpolation is used between the laminar value at NRe=2100 and the turbulent +value at NRe=2300, with matching slopes at both endpoints to achieve global differentiability. +

+ +
Implementation
+

+Based on the presented equations for calculation of the friction force in the waterway, two functions are +encoded in class DarcyFriction: +

+
    +
  1. fDarcy — calculates the Darcy friction factor. This function has the following inputs: +Reynolds number NRe, pipe diameter D, and pipe roughness height ε. Returns the friction factor +fD.
  2. +
  3. Friction — calculates the actual friction force based on the response from the +fDarcy function. This function has the following inputs: linear velocity v, pipe length and +diameter L and D, liquid density and viscosity ρ and μ, and pipe roughness height ε. Returns friction force +Ff.
  4. +
+ +
Example Code
+

+An example of a Modelica code for defining the Friction function: +

+
+function Friction \"Friction force with Darcy friction factor\"
+  import Modelica.Constants.pi;
+  input Modelica.SIunits.Velocity v \"Flow velocity\";
+  input Modelica.SIunits.Diameter D \"Pipe diameter\";
+  input Modelica.SIunits.Length L \"Pipe length\";
+  input Modelica.SIunits.Density rho \"Density\";
+  input Modelica.SIunits.DynamicViscosity mu \"Dynamic viscosity of water\";
+  input Modelica.SIunits.Height eps \"Pipe roughness height\";
+  output Modelica.SIunits.Force F_f \"Friction force\";
+protected
+  Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
+  Real f \"friction factor\";
+algorithm
+  N_Re:= rho * abs(v) * D / mu;
+  f := fDarcy(N_Re, D, eps);
+  F_f := 0.5 * pi * f * rho * L * v * abs(v) * D / 4;
+end Friction;
+
")); end DarcyFriction; diff --git a/OpenHPL/Functions/Fitting/package.mo b/OpenHPL/Functions/Fitting/package.mo index f54a37cc..9e3c3c4d 100644 --- a/OpenHPL/Functions/Fitting/package.mo +++ b/OpenHPL/Functions/Fitting/package.mo @@ -1,4 +1,97 @@ within OpenHPL.Functions; package Fitting "Functions for pipe fitting" extends Modelica.Icons.UtilitiesPackage; + + annotation (Documentation(info=" +

Fitting

+

+The functions for defining the pressure drop in various pipe fittings are described here. Due to different +constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based +on friction pressure drop which can be calculated as: +

+

+$$ \\Delta p_\\mathrm{f} = \\frac{1}{2}\\varphi\\rho v|v| $$ +

+

+Here, the dimensionless factor φ is the generalized friction factor. For a long, straight pipe, +φ = fD L/D. +

+ +
Types of Fittings
+

+Pressure drop equations are provided for different types of constrictions: +

+ +
Square Reduction/Expansion Fittings
+

+ \"Square + \"Square +

+ +
Tapered Reduction/Expansion Fittings
+

+ \"Tapered + \"Tapered +

+ +
Rounded Reduction/Expansion Fittings
+

+ \"Rounded + \"Rounded +

+ +
Sharp/Thick Orifice Fittings
+

+ \"Sharp + \"Thick +

+ +
Implementation
+

+Based on the presented equations for the calculation of the dimensionless factor φ in various fittings, +a set of functions is encoded in the Fitting package, such as: +

+
    +
  • SquareReduction
  • +
  • SquareExpansion
  • +
  • TaperedReduction
  • +
  • TaperedExpansion
  • +
  • RoundedReduction
  • +
  • SharpOrifice
  • +
  • ThickOrifice
  • +
+ +

+All these functions receive the Reynolds number NRe, diameters of first and second pipes +D1 and D2, and the pipe roughness height ε. Then, based on the appropriate +equations, these functions provide value for the dimensionless factor φ. +

+ +
Example Code
+

+An example of Modelica code for the SquareReduction function: +

+
+function SquareReduction
+  input Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
+  input Modelica.SIunits.Height eps \"Pipe roughness height\";
+  input Modelica.SIunits.Diameter D_i, D_o \"Pipe diameters\";
+  output Real phi;
+protected
+  Real f_D \"friction factor\";
+algorithm
+  f_D := Functions.DarcyFriction.fDarcy(N_Re, D_1, eps);
+  if N_Re < 2500 then
+    phi := (1.2 + 160 / N_Re) * ((D_i / D_o) ^ 4 - 1);
+  else
+    phi := (0.6 + 0.48 * f_D) * (D_i / D_o) ^ 2 * ((D_i / D_o) ^ 2 - 1);
+  end if;
+end SquareReduction;
+
+ +

+Another function, FittingPhi, calls the specific fitting functions based on a +FittingType parameter to provide the dimensionless factor φ for any fitting type. +

+")); end Fitting; diff --git a/OpenHPL/Functions/KP07/package.mo b/OpenHPL/Functions/KP07/package.mo index ca06adab..368db197 100644 --- a/OpenHPL/Functions/KP07/package.mo +++ b/OpenHPL/Functions/KP07/package.mo @@ -2,8 +2,88 @@ within OpenHPL.Functions; package KP07 "Methods for KP07 scheme" extends Modelica.Icons.UtilitiesPackage; - annotation ( - Documentation(info = " -

Different methods that define some components in the KP07 scheme.

+ annotation (Documentation(info=" +

KP Scheme

+

+Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a +wellbalanced second-order scheme, which is a Riemann problem solver free scheme (central scheme) while +at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of +propagation during the calculation of the flux at the cell interfaces. +

+ +
Mathematical Formulation
+

+The central-upwind numerical scheme is presented for the one-dimensional case: +

+

+$$ \\frac{\\partial U(x,t)}{\\partial t} + \\frac{\\partial F(x,t,U)}{\\partial x} = S(x,t,U) $$ +

+

+where U(x,t) is the state vector, F(x,t,U) is the vector of fluxes and S(x,t,U) is the source terms. +

+ +

+ \"Control +

+

Figure: Control volume/cell for finite volume discretization.

+ +
Discretization
+

+With the finite volume method, we divide the grid into small control volumes/cells and then apply the +conservation laws. The semi-discrete (time-dependent ODEs) central-upwind scheme can be written as: +

+

+$$ \\frac{d}{dt}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$ +

+

+Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central +upwind numerical fluxes at the cell interfaces. The numerical fluxes are calculated using the one-sided +local speeds of propagation and the piecewise linearly reconstructed state values at cell interfaces. +

+ +
Slope Limiter
+

+The slope sj of the reconstructed function in each cell is computed using a limiter function +to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized +minmod limiter. The parameter θ ∈ [1,2] is used to control or tune the amount of numerical +dissipation present in the resulting scheme. The value of θ = 1.3 is an acceptable starting point +in general. +

+ +

+ \"Ghost +

+

Figure: Ghost cells at the grid boundaries.

+ +
Ghost Cells
+

+For boundary cells, imaginary cells called ghost cells are used outside the physical boundary. The +average value of the conserved variables at the centre of these ghost cells depends on the nature of +the physical boundary taken into account. +

+ +
Implementation in OpenHPL
+

+Functions for each element of the KP scheme are implemented in the KP07 package: +

+
    +
  • GhostCells — provides values at ghost cells
  • +
  • SlopeVectorS — returns the slope vector using the minmod limiter
  • +
  • PieceWiseU — defines state values at cell interfaces
  • +
  • SpeedPropagationApipe — provides one-sided local speeds of propagation
  • +
  • FluxesH — defines central upwind numerical fluxes
  • +
  • KPmethod — primary function that assembles all components
  • +
+ +

+Note: Due to simulation speed considerations, these functions are implemented as model type +instead of function type in OpenModelica. +

+ +

+Examples of using the KP scheme for solving PDEs are provided in class KP07. More information +about using the KPmethod function is presented in the waterway modelling section for the +PenstockKP and OpenChannel units. +

")); end KP07; diff --git a/OpenHPL/Interfaces/package.mo b/OpenHPL/Interfaces/package.mo index 73c4fffa..a744eb1e 100644 --- a/OpenHPL/Interfaces/package.mo +++ b/OpenHPL/Interfaces/package.mo @@ -1,5 +1,58 @@ within OpenHPL; package Interfaces "Basic interface components" extends Modelica.Icons.InterfacesPackage; +annotation (Documentation(info=" +

Interfaces

+

+ In the OpenHPL, +two types of connectors are typically used. The first type is the standard Modelica real input/output +connector, the other type is a set of connectors that represent the water flow and are modelled similar +to the connection in an electrical circuit with voltage and current, or similar to the idea of potential +and flow in Bond Graph models. +

+
Contact Connector
+

+The water flow connector which is called Contact in the library, contains information about +the pressure in the connector and mass flow rate that flows through the connector. An example of a +Modelica code for defining the Contact connector looks as follows: +

+
+connector Contact \"Water flow connector\"
+  Modelica.SIunits.Pressure p \"Contact pressure\";
+  flow Modelica.SIunits.MassFlowRate mdot \"Mass flow rate through the contact\";
+  annotation (...);
+end Contact;
+
+ +
Extensions of Contact Connector
+

+In addition, some extensions of this water flow connector are developed for better use in the library: +

+ +
TwoContacts
+

+TwoContacts is an extension from the Contact model which provides a model of +two connectors of inlet and outlet contacts: +

+
+partial model TwoContact \"Model of two connectors\"
+  Contact i \"Inlet contact\";
+  Contact o \"Outlet contact\";
+end TwoContact;
+
+ +
TurbineContacts
+

+TurbineContacts is an extension from TwoContacts model and provides the real +input and output connectors, additionally. This model is used for turbine modelling: +

+
+partial model TurbineContacts \"Model of turbine connectors\"
+  extends TwoContacts;
+  input Modelica.Blocks.Interfaces.RealInput u_t  \"[Guide vane|nozzle] opening of the turbine\" ;
+  Modelica.Blocks.Interfaces.RealOutput P_out \"Mechanical Output power\" ;
+end TurbineContacts;
+
+")); end Interfaces; diff --git a/OpenHPL/Resources/Images/.vscode/settings.json b/OpenHPL/Resources/Images/.vscode/settings.json deleted file mode 100644 index d09a50ca..00000000 --- a/OpenHPL/Resources/Images/.vscode/settings.json +++ /dev/null @@ -1,3 +0,0 @@ -{ - "svg.preview.background": "transparent" -} \ No newline at end of file diff --git a/OpenHPL/Resources/Images/Library.png b/OpenHPL/Resources/Images/Library.png deleted file mode 100644 index 0674aeeb881a54df242b28edc05d612613be3bef..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 80094 zcmbTe1yGi2_cscHl8Tgs3J6GtbVvvy-6Wd7 zQUp!G7om7dO=$+HgEbX;=Ch+pwV2GRCF%I37*#Fv0tEvL=>UC-^ZMrQC)?z;vK!dE zR_;QhTpAq5_FE2yI|=7Z4OAj`-g-$U8;S7qoo9H+@^?{1Tq!#4*WB=<;PeU%45X%}{@QQ0 zcF1pE^?->xcYJ%_7SCkKhxJZ}Z`>Ffs;toganA#RW!2;=8%I9l8r`qTl4~6ViTeE}ajpY`@n7-e?)6J`j-?fku_z9oQJ~#hX>v>voWDPhX#co_Jg6!^6M+etrjS_mzK8 zOyKOI!Wl$c?4!EuEl5pFPBKnvj5|N?SYspMTuboAGg)lO%9nVFdrH7-P^-M?!6llp2)?-Bui~d_)Z#D 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zo;_Q={PN3sb&zr6#%U{85d1*IRtPn?0Z9L%`#$aj{I={XEG*PZ>ad~%xwrAOYu8Sv zhp}uuVl4=MAYvj1X`YgVy_R{Qqt^|4sJERn+6X83o- zg&_Eeh^-J>a0?LV!ZpyZUq8L{I0A}gOGVkpkt0=)9zCq1t6_Bp*0vI%75qlTRtPP) z09YNB{8}o;5Yiz-hG^Hp(MKPx7bFw}QxLHgLW!MifNz#y7_I^FzX~QJVk?A_EnBu| z|LlwzGjzei^5x65@Ct&dh}a6D1FM$I1Jb=Zbm*Wiy67UcX3ZM4a^*_v2thCpX|X6| zB%?=k-nYC9CyhAKoA*1-}tFN@ku3EK9`+6z!{p6ERw52QvULs;E zWE8j>mMmGKa&mIisi&T*R;*Z|-y^(&;3eWl5HbooV}U$dHg115`@JA|g@~;n2!aoY n8$l2R!3RWa1wjxzN2&h@aL7Mf@jN$+00000NkvXXu0mjf&L<=} diff --git a/OpenHPL/UsersGuide/BasicExample/Flowsheet.mo b/OpenHPL/UsersGuide/BasicExample/Flowsheet.mo deleted file mode 100644 index 554415b0..00000000 --- a/OpenHPL/UsersGuide/BasicExample/Flowsheet.mo +++ /dev/null @@ -1,53 +0,0 @@ -within OpenHPL.UsersGuide.BasicExample; -class Flowsheet "Creating a Flowsheet Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Flowsheet

-

-To create a flowsheet model for a hydropower system in OpenModelica using OpenHPL, -follow these steps: -

- -
Step 1: Create New Model
-

-Create a new Modelica class specified as \"Model\" and assigna name. Open with \"Diagram view\". -

- -
Step 2: Add Components
-

-Drag and drop needed elements for the hydropower structure from OpenHPL, provide names -for each element, and connect their connectors. -

- -
Step 3: Add Data Record
-

-Insert the Data record model from OpenHPL with name \"data\" to control -common constants and properties for all hydropower elements, such as typical initial flow rates. -

- -
Step 4: Specify Parameters
-

-Specify each element with appropriate geometry parameters. -

- -
Step 5: Provide Control Signal
-

-Provide a control signal for the turbine either by: -

-
    -
  • Adding a source signal from standard Modelica library (e.g., Modelica.Blocks.Sources.Ramp)
  • -
  • Creating an input variable and equating it to the turbine control input
  • -
- -
Step 6: Simulate
-

-Specify simulation setup values, save in the model, and run the simulation. -

- -
Screenshots
-

-Refer to the original User's Guide PDF for detailed screenshots showing each step. -

-")); -end Flowsheet; diff --git a/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo b/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo deleted file mode 100644 index 0f1c429b..00000000 --- a/OpenHPL/UsersGuide/BasicExample/OMPythonAPI.mo +++ /dev/null @@ -1,66 +0,0 @@ -within OpenHPL.UsersGuide.BasicExample; -class OMPythonAPI "Using OMPython API" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

OMPython API

-

-To run simulations of a hydropower model from Python using the OMPython API for OpenModelica: -

- -
Step 1: Import and Create Object
-

-Import the \"Modelica system\" environment and create an object of the OpenModelica model: -

-
-from OMPython import ModelicaSystem
-hps_s = ModelicaSystem(\"OpenHPL_example.mo\", \"OpenHPL_example\", 
-                      [\"Modelica\", \"OpenHPL/package.mo\"])
-
- -
Step 2: Set Simulation Options
-

-Specify simulation options, parameters, and input variables: -

-
-hps_s.setSimulationOptions(stepSize=0.1, stopTime=1000)
-hps_s.getSimulationOptions()  # get list of options
-hps_s.getParameters()  # get list of parameters
-hps_s.setParameters(**{\"turbine.H_n\":460})  # set parameter
-hps_s.getInputs()  # get list of inputs
-hps_s.setInputs(u=[(0,0.75),(100,0.75),(101,0.7),(1000,0.7)])  # ramp signal
-
- -
Step 3: Run and Get Results
-

-Run simulation and retrieve results: -

-
-hps_s.simulate()
-hps_s.getSolutions()  # get list of solution variables
-time, Vdot, p_tr1, p_tr2 = hps_s.getSolutions(\"time\", \"turbine.Vdot\", 
-                                               \"turbine.p_tr1\", \"turbine.p_tr2\")
-
-

-Results can be plotted using matplotlib package. -

- -
Step 4: Linearization (Optional)
-

-Linearize the model for further analysis: -

-
-hps_s.setLinearizationOptions(stopTime=0.1)
-hps_s.getLinearizationOptions()
-As,Bs,Cs,Ds = hps_s.linearize()  # get A, B, C, D matrices
-hps_s.getLinearStates()
-hps_s.getLinearInputs()
-hps_s.getLinearOutputs()
-
- -

-Note: Similar functionality is available with OMJulia API for Julia. See OMJulia documentation -for details. -

-")); -end OMPythonAPI; diff --git a/OpenHPL/UsersGuide/BasicExample/package.mo b/OpenHPL/UsersGuide/BasicExample/package.mo deleted file mode 100644 index 5e53cefe..00000000 --- a/OpenHPL/UsersGuide/BasicExample/package.mo +++ /dev/null @@ -1,12 +0,0 @@ -within OpenHPL.UsersGuide; -package BasicExample "Basic Usage Example" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Basic Example

-

-A basic step-by-step example is provided here to show how to connect and specify elements from -OpenHPL in a flowsheet, and how to set up the OMPython API for simulation and analysis. -

-")); -end BasicExample; diff --git a/OpenHPL/UsersGuide/BasicExample/package.order b/OpenHPL/UsersGuide/BasicExample/package.order deleted file mode 100644 index 1bb9ff3d..00000000 --- a/OpenHPL/UsersGuide/BasicExample/package.order +++ /dev/null @@ -1,2 +0,0 @@ -Flowsheet -OMPythonAPI diff --git a/OpenHPL/UsersGuide/Examples/HPDetailed.mo b/OpenHPL/UsersGuide/Examples/HPDetailed.mo deleted file mode 100644 index 9216740b..00000000 --- a/OpenHPL/UsersGuide/Examples/HPDetailed.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPDetailed "HPDetailed example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPDetailed

-

-In this model of the hydropower system, the simplified models are used for conduits and turbine modelling, except for -the penstock that is modelled with the more detailed PenstockKP unit. The generator is not included in the model. -The simple Pipe unit is used to represent the intake and discharge races. The simple Turbine unit is -used to represent the turbine. The Reservoir unit is used to represent the reservoir and the tailwater (here, -this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the -Sundsbarm hydropower plant is used for this example model. -

-", revisions="")); -end HPDetailed; diff --git a/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo b/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo deleted file mode 100644 index 4be4b6cc..00000000 --- a/OpenHPL/UsersGuide/Examples/HPDetailedFrancis.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPDetailedFrancis "HPDetailed_Francis example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPDetailed_Francis

-

-In this model of the hydropower system, the simplified model is used for conduits modelling, except for the penstock -that is modelled with the more detailed PenstockKP unit. The turbine and generator are modelled with more -detailed Francis and SynchGen units, respectively. The simple Pipe unit is used to represent -the intake and discharge races. The Reservoir unit is used to represent the reservoir and the tailwater (here, -this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the -Sundsbarm hydropower plant is used for this example model. -

-", revisions="")); -end HPDetailedFrancis; diff --git a/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo b/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo deleted file mode 100644 index b9654b05..00000000 --- a/OpenHPL/UsersGuide/Examples/HPDetailedGenerator.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPDetailedGenerator "HPDetailed_generator example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPDetailed_generator

-

-In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling, -except for the penstock that is modelled with the more detailed PenstockKP unit. The simple Pipe unit -is used to represent the intake and discharge races. The simple Turbine unit is used to represent the turbine. -The SimpleGen unit is used to represent the generator. The Reservoir unit is used to represent the -reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth -in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. -

-", revisions="")); -end HPDetailedGenerator; diff --git a/OpenHPL/UsersGuide/Examples/HPSimple.mo b/OpenHPL/UsersGuide/Examples/HPSimple.mo deleted file mode 100644 index aa4901cc..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimple.mo +++ /dev/null @@ -1,14 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimple "HPSimple example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple

-

-In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator -is not included in the model. The simple Pipe unit is used to represent the penstock, intake and discharge races. -The simple Turbine unit is used to represent the turbine. The Reservoir unit is used to represent the -reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth -in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. -

-", revisions="")); -end HPSimple; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo deleted file mode 100644 index 9dae1297..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleFrancis.mo +++ /dev/null @@ -1,14 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleFrancis "HPSimple_Francis example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_Francis

-

-In this model of the hydropower system, the simplified model is used for conduits modelling. The turbine and the generator -are modelled with more detailed Francis and SynchGen units, respectively. The simple Pipe -unit is used to represent the penstock, intake and discharge races. The Reservoir unit is used to represent the -reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth -in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. -

-", revisions="")); -end HPSimpleFrancis; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo deleted file mode 100644 index bddb11fc..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisGridGen.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleFrancisGridGen "HPSimple_Francis_GridGen example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_Francis_GridGen

-

-Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is also -extended by synergy with the OpenIPSL for only generator modelling. The Governor unit from the -OpenHPL is also used here. The penstock is modelled with the more detailed PenstockKP unit. The turbine -is modelled with the more detailed Francis unit. The simple Pipe unit is used to represent the intake -and discharge races. The Reservoir unit is used to represent the reservoir and the tailwater (here, this unit -uses a simple model of the reservoir that only depends on the water depth in the reservoir). -

-", revisions="")); -end HPSimpleFrancisGridGen; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo deleted file mode 100644 index 4df6bde1..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGen.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleFrancisIPSLGen "HPSimple_Francis_IPSLGen example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_Francis_IPSLGen

-

-Here, the last example model (uses the PenstockKP and Francis units) is extended by synergy with the -OpenIPSL for generator and power system modelling. The Governor unit from the OpenHPL is also -used here. The penstock is modelled with the more detailed PenstockKP unit. The turbine is modelled with more -detailed Francis unit. The simple Pipe unit is used to represent the intake and discharge races. The -Reservoir unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the -reservoir that only depends on the water depth in the reservoir). -

-", revisions="")); -end HPSimpleFrancisIPSLGen; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo deleted file mode 100644 index 1f460b90..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenGov.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleFrancisIPSLGenGov "HPSimple_Francis_IPSLGenGov example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_Francis_IPSLGenGov

-

-Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is extended -by synergy with the OpenIPSL for generator, governor and power system modelling. The penstock is modelled with -the more detailed PenstockKP unit. The turbine is modelled with the more detailed Francis unit. The -simple Pipe unit is used to represent the intake and discharge races. The Reservoir unit is used to -represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the -water depth in the reservoir). -

-", revisions="")); -end HPSimpleFrancisIPSLGenGov; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo b/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo deleted file mode 100644 index d422fad7..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleFrancisIPSLGenInfBus.mo +++ /dev/null @@ -1,16 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleFrancisIPSLGenInfBus "HPSimple_Francis_IPSLGenInfBus example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_Francis_IPSLGenInfBus

-

-Here, the HPDetailed_Francis example model (uses the PenstockKP and Francis units) is extended -by synergy with the OpenIPSL for generator and power system (including infinite bus) modelling. The -Governor unit from the OpenHPL is also used here. The penstock is modelled with the more detailed -PenstockKP unit. The turbine is modelled with the more detailed Francis unit. The simple Pipe -unit is used to represent the intake and discharge races. The Reservoir unit is used to represent the reservoir -and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the -reservoir). -

-", revisions="")); -end HPSimpleFrancisIPSLGenInfBus; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo b/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo deleted file mode 100644 index c8ca1a28..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleGenerator.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleGenerator "HPSimple_generator example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_generator

-

-In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling. -The simple Pipe unit is used to represent the penstock, intake and discharge races. The simple Turbine -unit is used to represent the turbine. The SimpleGen unit is used to represent the generator. The -Reservoir unit is used to represent the reservoir and tailwater (here, this unit uses a simple model of the -reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for -this example model. -

-", revisions="")); -end HPSimpleGenerator; diff --git a/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo b/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo deleted file mode 100644 index e51ce832..00000000 --- a/OpenHPL/UsersGuide/Examples/HPSimpleOpenChannel.mo +++ /dev/null @@ -1,15 +0,0 @@ -within OpenHPL.UsersGuide.Examples; -class HPSimpleOpenChannel "HPSimple_OpenChannel example model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

HPSimple_OpenChannel

-

-In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator -is not included in the model. The simple Pipe unit is used to represent the penstock and intake race. The -discharge race is an open channel here, and the OpenChannel unit is used for modelling. The simple -Turbine unit is used to represent the turbine. The Reservoir unit is used to represent the reservoir -and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the -reservoir). -

-", revisions="")); -end HPSimpleOpenChannel; diff --git a/OpenHPL/UsersGuide/Examples/package.mo b/OpenHPL/UsersGuide/Examples/package.mo deleted file mode 100644 index 6059bbd5..00000000 --- a/OpenHPL/UsersGuide/Examples/package.mo +++ /dev/null @@ -1,43 +0,0 @@ -within OpenHPL.UsersGuide; -package Examples "Examples of hydropower systems" - extends Modelica.Icons.ExamplesPackage; - - annotation (Documentation(info=" -

Examples

-

-This section describes various example models demonstrating the use of OpenHPL components to build complete hydropower system models. These examples progressively introduce complexity from simple turbine models to detailed electromechanical systems with grid integration. -

- -
Organization
-

-OpenHPL provides examples in two packages: -

-
    -
  • OpenHPL.Examples: Ready-to-run example models demonstrating basic usage of individual components -(e.g., SimpleTurbine, SimpleGen, BranchingPipes, Gate, VolumeFlowSource, etc.)
  • -
  • OpenHPLTest: Comprehensive test cases and case studies including validation models, detailed system -configurations, and integration examples with OpenIPSL (e.g., HPSimplePenstockFrancis, HPElasticKPPenstock, etc.)
  • -
- -
Example Models Documented in this Section
-

-The examples documented below are from the OpenHPLTest package and represent typical hydropower system configurations -of varying complexity. They are organized as follows: -

-
    -
  • Simple models (HPSimple, HPSimpleGenerator, HPSimpleFrancis): Basic configurations using simplified -component models for initial design and conceptual studies
  • -
  • Detailed models (HPDetailed, HPDetailedGenerator, HPDetailedFrancis): Advanced configurations with -elastic penstock models (KP method), detailed turbine characteristics, and realistic system dynamics
  • -
  • Grid integration models (HPSimpleFrancisIPSLGen, HPSimpleFrancisGridGen, etc.): Examples demonstrating -integration with electrical grid models using either simplified Grid model or OpenIPSL library components
  • -
  • Specialized models (HPSimpleOpenChannel): Examples showcasing specific OpenHPL features like open -channel flow modeling
  • -
- -

-Users starting with OpenHPL should first explore the simple examples to understand basic modeling concepts, then progress -to detailed and grid integration examples as needed for their applications. -

-", revisions="")); -end Examples; diff --git a/OpenHPL/UsersGuide/Examples/package.order b/OpenHPL/UsersGuide/Examples/package.order deleted file mode 100644 index c6bb24a6..00000000 --- a/OpenHPL/UsersGuide/Examples/package.order +++ /dev/null @@ -1,11 +0,0 @@ -HPSimple -HPSimpleGenerator -HPSimpleFrancis -HPDetailed -HPDetailedGenerator -HPDetailedFrancis -HPSimpleFrancisIPSLGen -HPSimpleFrancisGridGen -HPSimpleFrancisIPSLGenGov -HPSimpleFrancisIPSLGenInfBus -HPSimpleOpenChannel diff --git a/OpenHPL/UsersGuide/Installation.mo b/OpenHPL/UsersGuide/Installation.mo deleted file mode 100644 index b36a8521..00000000 --- a/OpenHPL/UsersGuide/Installation.mo +++ /dev/null @@ -1,57 +0,0 @@ -within OpenHPL.UsersGuide; -class Installation "Installation instructions" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Installation

-

-OpenHPL can be opened either in open-source -OpenModelica or commercial -Dymola modelling and -simulation environments, which are based on the Modelica language. Here, OpenModelica is emphasized -due to free availability. -

- -
Installing OpenModelica
-

-To install OpenModelica: -

- - -
Modelica and OpenModelica Tutorials
-

-Some tutorials exist for: -

- - -
Installing OpenHPL
-

-The OpenHPL can be found at -https://openhpl.opensimhub.org. -To install this library, follow the instructions at the project homepage. -

- -
Scripting API Integration
-

-In addition, Modelica models in OpenModelica can be simulated within a scripting language and further -analysed using the analysis tools in the scripting language: -

- -

-The installation instructions for both these APIs can be found in the links provided above. -

-")); -end Installation; diff --git a/OpenHPL/UsersGuide/Introduction.mo b/OpenHPL/UsersGuide/Introduction.mo deleted file mode 100644 index a0db05d2..00000000 --- a/OpenHPL/UsersGuide/Introduction.mo +++ /dev/null @@ -1,36 +0,0 @@ -within OpenHPL.UsersGuide; -class Introduction "Introduction to OpenHPL" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Introduction

-

-OpenHPL is an open-source hydropower library that consists of hydropower unit models -and is encoded in Modelica. Modelica is a multi-domain as well as a component-oriented modelling -language that is suitable for complex system modelling. In order to develop the library, OpenModelica -has been used as an open-source Modelica-based modelling and simulation environment. -

-

-This hydropower library, OpenHPL, provides the capability for the modelling of -hydropower systems of different complexity. The library includes the following units: -

-
    -
  1. Various waterway units are modelled based on the mass and momentum balances, i.e., reservoirs, -conduits, surge tank, fittings. A modern method for solving more detailed models (PDEs) is implemented -in the library, and enables the modelling of the waterway with elastic walls and compressible water as -well as open channel.
  2. -
  3. A hydrology model has been implemented and makes it possible to simulate the water inflow to the -reservoirs.
  4. -
  5. Mechanistic models, as well as simple look-up table turbine models are implemented for the Francis -and Pelton turbine types. The Francis turbine model also includes a turbine design algorithm that gives -all of the needed parameters for the model, based on the turbine's nominal operating values.
  6. -
  7. The capability for multiphysics connections and work with other libraries is ensured, e.g., connecting -with the Open-Instance Power System Library OpenIPSL makes it possible to model the -electrical part for the hydropower system.
  8. -
-

-A detailed description of each hydropower unit and their uses are presented in the following sections of -this user guide. -

-")); -end Introduction; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo deleted file mode 100644 index 87c9995b..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Francis.mo +++ /dev/null @@ -1,57 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class Francis "Francis Turbine Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Francis Turbine

-

-The library includes a mechanistic Francis turbine model based on the Euler turbine equations. The shaft -power produced is: -

-

-$$ \\dot{W}_s = \\dot{m}\\omega \\left(R_1\\frac{\\dot{V}}{A_1}\\cot{\\alpha_1} - R_2\\left(\\omega R_2 + \\frac{\\dot{V}}{A_2}\\cot{\\beta_2}\\right)\\right) $$ -

- -

- \"Francis -

-

Figure: Key quantities in the Francis turbine model.

- -

-where ṁ and V̇ are mass and volumetric flow rates, ω is angular velocity, R1 and R2 -are inlet and outlet radii, A1 and A2 are cross-sectional areas, α1 is -inlet guide vane angle, and β2 is outlet blade angle. -

- -
Total Work and Efficiency
-

-The total work rate is: -

-

-$$ \\dot{W}_t = \\dot{W}_s + \\dot{W}_{ft} + \\Delta p_v \\dot{V} $$ -

-

-where Ẇft represents various friction losses. Efficiency \\(\\eta = \\dot{W}_s / \\dot{W}_t\\). -

- -
Turbine Design Algorithm
-

-A design algorithm is provided to calculate geometry parameters from nominal operating conditions -(net head and flow rate). The algorithm determines: outlet blade angle β2, runner radii -R1 and R2, runner width w1, and inlet blade angle β1. -

- -
Guide Vane Actuation
-

-A guide vane opening model relates actuator position Y to guide vane angle α1 through geometric -relationships. -

- -
Implementation
-

-The Francis unit uses TurbineContacts and has a RealInput for -angular velocity from the generator. User can use the design algorithm or specify geometry parameters -manually. -

-")); -end Francis; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo deleted file mode 100644 index 132ec305..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Governor.mo +++ /dev/null @@ -1,157 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class Governor "Description of Governor unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Governor/Controller Model

-

-The Governor unit implements a turbine governor system for controlling guide vane position and regulating -turbine output. Governors are essential control systems in hydropower plants that maintain stable operation, -regulate frequency, and respond to load changes. -

- -
Control Structure
-

-The governor model consists of several interconnected control blocks representing a typical hydropower governor system: -

-
    -
  • Pilot Servomotor: First-order transfer function with time constant \\(T_p\\)
  • -
  • Main Servomotor: Integrator with time constant \\(T_g\\)
  • -
  • Transient Droop: Transfer function with time constant \\(T_r\\) and transient droop \\(\\delta\\)
  • -
  • Permanent Droop: Proportional feedback with droop coefficient
  • -
  • Rate Limiters: Constrain guide vane opening and closing rates
  • -
  • Position Limiters: Limit guide vane position between 0 (closed) and 1 (fully open)
  • -
- -
Control Law
-

-The governor implements a PID-like control strategy with droop compensation: -

-

-$$ Y_{gv} = f(P_{ref}, P, f, f_{ref}) $$ -

-

-where: -

-
    -
  • \\(Y_{gv}\\): Guide vane opening (0-1) [-]
  • -
  • \\(P_{ref}\\): Reference power setpoint [W]
  • -
  • \\(P\\): Actual electrical power output [W]
  • -
  • \\(f\\): Actual grid frequency [Hz]
  • -
  • \\(f_{ref}\\): Reference frequency (typically 50 or 60 Hz) [Hz]
  • -
- -
Key Parameters
-

-The governor model requires careful tuning of several parameters: -

- -

Time Constants:

-
    -
  • \\(T_p\\): Pilot servomotor time constant (typically 0.02-0.08 s)
  • -
  • \\(T_g\\): Main servomotor time constant (typically 0.1-0.5 s)
  • -
  • \\(T_r\\): Transient droop time constant (typically 1-10 s)
  • -
- -

Droop Settings:

-
    -
  • Permanent droop: Steady-state droop (typically 2-6% or 0.02-0.06)
  • -
  • Transient droop \\(\\delta\\): Temporary droop during transients (typically 0.02-0.10)
  • -
- -

Rate Limits:

-
    -
  • \\(\\dot{Y}_{gv,max}\\): Maximum opening rate [1/s]
  • -
  • \\(\\dot{Y}_{gv,min}\\): Maximum closing rate (negative value) [1/s]
  • -
- -

Nominal Conditions:

-
    -
  • \\(P_n\\): Nominal/rated power [W]
  • -
  • \\(Y_{gv,ref}\\): Initial guide vane opening [-]
  • -
  • \\(f_{ref}\\): Reference frequency [Hz]
  • -
- -
Droop Characteristic
-

-The droop characteristic defines how frequency deviation relates to power output. The permanent droop creates -a steady-state relationship: -

-

-$$ \\Delta f = -R \\cdot \\frac{\\Delta P}{P_n} \\cdot f_{ref} $$ -

-

-where \\(R\\) is the droop coefficient. For example, 5% droop means a 100% load change causes a 2.5 Hz -frequency change (for 50 Hz systems) or 3 Hz (for 60 Hz systems). -

- -
Transient Droop
-

-The transient droop \\(\\delta\\) provides temporary additional droop during fast transients to improve -system stability and reduce overshoot. It decays with time constant \\(T_r\\), eventually leaving only -the permanent droop effect. -

- -
Look-up Table
-

-The governor includes a look-up table that can represent: -

-
    -
  • Nonlinear relationships between power reference and guide vane position
  • -
  • Efficiency optimization curves
  • -
  • Operating constraints at different power levels
  • -
- -
Inputs and Outputs
-

-The governor model has the following interfaces: -

-
    -
  • Inputs: -
      -
    • P_ref: Power reference signal [per-unit or W]
    • -
    • f: Grid frequency measurement [Hz]
    • -
    -
  • -
  • Output: -
      -
    • Y_gv: Guide vane opening command (0-1) [-]
    • -
    -
  • -
- -
Applications
-

-The governor model is essential for: -

-
    -
  • Frequency regulation and primary control studies
  • -
  • Load rejection and acceptance transient analysis
  • -
  • Grid stability studies with hydropower participation
  • -
  • Controller tuning and optimization
  • -
  • Black start and islanded operation scenarios
  • -
  • Coordination with other grid components
  • -
- -
Integration with OpenIPSL
-

-The Governor model is designed to work seamlessly with: -

-
    -
  • OpenHPL turbine and generator models
  • -
  • OpenIPSL synchronous generators and power system models
  • -
  • External grid models for co-simulation studies
  • -
- -
Tuning Guidelines
-

-Proper governor tuning is critical for stable operation: -

-
    -
  • Start with conservative (slower) time constants
  • -
  • Increase droop if system shows oscillations
  • -
  • Adjust transient droop to balance response speed vs. stability
  • -
  • Verify rate limits match physical actuator capabilities
  • -
  • Validate against field test data when available
  • -
-", revisions="")); -end Governor; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo deleted file mode 100644 index cbf40c8f..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Grid.mo +++ /dev/null @@ -1,168 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class Grid "Electrical Grid Model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Grid - Mechanical Grid Equivalent Model

- -
Purpose
-

-The Grid model represents a simplified mechanical equivalent of an electrical power grid. This model simulates grid behavior using frequency-power droop characteristics and is essential for studying hydropower plant responses to grid disturbances or load variations without requiring detailed electrical network modeling. -

- -
Model Formulation
-

-The grid model implements primary frequency control using two alternative parameterizations - either the network power-frequency characteristic Lambda (\\(\\Lambda\\)) or an equivalent droop setting Rgrid. The relationship between these parameters is: -

- -

-$$\\Lambda = \\frac{P_{grid}}{R_{grid} \\cdot f_0}$$ -

- -

where:

-
    -
  • \\(\\Lambda\\) is the network power-frequency characteristic (bias factor) [MW/Hz]
  • -
  • Pgrid is the active power capacity of the grid [W]
  • -
  • Rgrid is the equivalent droop setting of the grid [per unit]
  • -
  • f0 is the nominal frequency (50 or 60 Hz)
  • -
- -
Network Power-Frequency Characteristic
-

-The grid frequency responds to power imbalances according to: -

- -

-$$\\Delta f = -\\frac{1}{\\Lambda}(P_{load} - P_{gen})$$ -

- -

-where \\(\\Delta f\\) is the frequency deviation from nominal, Pload is the electrical load demand, and Pgen is the generated power from the hydropower plant. -

- -
Self-Regulation Effect
-

-Frequency-dependent loads (motors, inductive loads) cause the system load to vary with frequency. This self-regulation effect is modeled using parameter \\(\\mu\\) [%/Hz]: -

- -

-$$\\Delta P' = \\mu \\cdot \\frac{P}{100} \\cdot \\Delta f$$ -

- -

where:

-
    -
  • \\(\\mu\\) is the self-regulation effect of the load [%/Hz]
  • -
  • \\(\\Delta P'\\) is the change in power consumption due to frequency change [W]
  • -
  • P is the original load of the system [W]
  • -
- -

-The total load power becomes: \\(P_{total} = P_{load} + \\Delta P'\\). Typical values for \\(\\mu\\) range from 0 to 2%/Hz depending on the load composition. -

- -
Droop Characteristic
-

-The droop setting Rgrid determines how much frequency deviation occurs for a given power imbalance: -

- -

-$$\\Delta f = -R_{grid} \\cdot \\frac{\\Delta P}{P_{grid}} \\cdot f_0$$ -

- -

-Smaller droop values indicate stiffer grids (large \\(\\Lambda\\)) that experience small frequency deviations for significant power changes. Typical Rgrid values are 0.04-0.10 (4-10%). For interconnected continental grids, equivalent droops can be much smaller (0.01-0.02). -

- -
Parameters
-
    -
  • Pgrid: Active power capacity of the grid [W]. Default: 1e9 W (1 GW). Represents the total generation capacity that participates in frequency regulation.
  • -
  • useLambda: Boolean selector (default: false) -
      -
    • If true: Specify \\(\\Lambda\\) directly
    • -
    • If false: Specify Rgrid and \\(\\Lambda\\) is computed
    • -
    -
  • -
  • Lambda: Network power-frequency characteristic [MW/Hz]. Enabled when useLambda=true. Typical values: 50-5000 MW/Hz depending on grid size.
  • -
  • Rgrid: Equivalent droop setting [per unit]. Enabled when useLambda=false. Default: 0.1 (10%). Range: 0.01 (strong grid) to 0.2 (weak grid).
  • -
  • mu: Self-regulation effect [%/Hz]. Default: 0. Typical range: 0-2%/Hz. Industrial grids with many motors may have higher values (1-2%/Hz), while grids dominated by resistive loads have lower values (0-0.5%/Hz).
  • -
- -
Inputs/Outputs
-
    -
  • Input: Pload (RealInput) - Electrical load power demand [W]. Can be constant or time-varying to simulate load changes or disturbances.
  • -
  • Mechanical Interface: Rotational flange connected to generator shaft. The model converts frequency deviation to equivalent mechanical torque.
  • -
- -
Applications
-
    -
  • Primary frequency response studies: Evaluate how hydropower plant responds to sudden load changes or generation trips in the grid.
  • -
  • Governor tuning: Test governor performance with realistic grid dynamics without full electrical network model.
  • -
  • Island operation studies: Model small isolated grids (weak grids with high Rgrid) supplied by hydropower.
  • -
  • Interconnected grid studies: Model large continental grids (strong grids with low Rgrid) with high inertia.
  • -
  • Load rejection scenarios: Simulate loss of load and resulting frequency/speed excursion.
  • -
  • Sensitivity analysis: Study impact of grid strength (\\(\\Lambda\\)) on plant transient behavior.
  • -
- -
Implementation Notes
-
    -
  • The model extends BaseClasses.Power2Torque to convert electrical power imbalance to mechanical torque on the generator shaft.
  • -
  • Grid is represented as infinite bus with mechanical dynamics - frequency changes but voltage magnitude remains constant.
  • -
  • Model assumes generator is already synchronized to grid (use MCB model for connection/disconnection events).
  • -
  • The model uses outer Data data to access nominal frequency f0 and other system parameters.
  • -
  • Maximum power capacity is set to 1.2×Pgrid to accommodate transient overloads.
  • -
- -
Typical Parameterization Examples
- -

Large continental grid (European ENTSO-E or North American interconnection):

-
    -
  • Pgrid = 100 GW to 1 TW (total participating capacity)
  • -
  • Rgrid = 0.01-0.02 (1-2%) or Lambda = 2500-5000 MW/Hz
  • -
  • mu = 1%/Hz (moderate self-regulation)
  • -
  • Result: Very stiff grid, small frequency excursions
  • -
- -

Regional interconnected grid (Nordic Grid, UK Grid):

-
    -
  • Pgrid = 10-50 GW
  • -
  • Rgrid = 0.04-0.06 (4-6%) or Lambda = 400-1250 MW/Hz
  • -
  • mu = 0.5-1.5%/Hz
  • -
  • Result: Moderate stiffness, observable frequency transients
  • -
- -

Island or isolated grid:

-
    -
  • Pgrid = 100 MW to 1 GW
  • -
  • Rgrid = 0.08-0.15 (8-15%) or Lambda = 30-600 MW/Hz
  • -
  • mu = 0-1%/Hz (depends on load type)
  • -
  • Result: Weak grid, significant frequency deviations during transients
  • -
- -
Relation to OpenIPSL
-

-For more detailed electrical grid modeling including voltage dynamics, reactive power, multi-machine stability, and detailed protection systems, use OpenIPSL (Open-Instance Power System Library) in combination with OpenHPL. The Grid model in OpenHPL provides a simplified mechanical equivalent suitable for: -

-
    -
  • Cases where electrical transients are not of primary interest
  • -
  • Early design phase studies focusing on hydraulic/mechanical dynamics
  • -
  • Computational efficiency when electrical detail is not required
  • -
  • Educational purposes to understand frequency-power relationships
  • -
- -
Limitations
-
    -
  • No voltage dynamics - only frequency/power relationship modeled
  • -
  • Single equivalent representation - cannot model multi-area or multi-machine interactions
  • -
  • No reactive power/voltage control
  • -
  • No protection systems or relay actions
  • -
  • Linear droop characteristic - does not capture deadbands or nonlinear effects
  • -
- -
See Also
-

-OpenHPL.ElectroMech.PowerSystem.Grid, -OpenHPL.ElectroMech.PowerSystem.MCB, -OpenHPL.Controllers.Governor, -OpenHPL.ElectroMech.Generators.SimpleGen -

-")); -end Grid; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo deleted file mode 100644 index b261361e..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/MCB.mo +++ /dev/null @@ -1,235 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class MCB "Main Circuit Breaker Model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

MCB - Main Circuit Breaker Model

- -
Purpose
-

-The MCB (Main Circuit Breaker) model represents a mechanical equivalent of an electrical circuit breaker used to connect or disconnect a generator from the electrical grid. This component is essential for simulating startup procedures, shutdown sequences, synchronization processes, and emergency disconnection events in hydropower systems. -

- -
Operating Principle
-

-The MCB model uses a controlled clutch mechanism to couple the generator shaft to the grid shaft. The clutch can open (disconnect) or close (connect) based on time-scheduled events and synchronization conditions. When closed, mechanical torque and power are transmitted between generator and grid. When open, the generator operates independently (island mode or startup). -

- -
Synchronization Logic
-

-Before closing the MCB to connect the generator to the grid, the model verifies that the speed difference between generator and grid is sufficiently small. The synchronization condition is: -

- -

-$$|\\omega_{gen} - \\omega_{grid}| \\leq \\Delta\\omega_{max}$$ -

- -

where:

-
    -
  • \\(\\omega_{gen}\\) is the angular velocity of the generator shaft [rad/s]
  • -
  • \\(\\omega_{grid}\\) is the angular velocity of the grid [rad/s]
  • -
  • \\(\\Delta\\omega_{max} = 2\\pi \\cdot \\Delta_{speed} \\cdot f_0\\) is the maximum allowable speed difference [rad/s]
  • -
  • \\(\\Delta_{speed}\\) is the maximum allowed speed difference parameter [per unit]
  • -
  • f0 is the nominal frequency (50 or 60 Hz)
  • -
- -
Control Logic
-

-The MCB operates using an RS flip-flop logic with the following states: -

- -
    -
  • OPEN (Initial state): Generator disconnected from grid. Generator can run at independent speed.
  • -
  • CLOSE Command at t = t_close: When simulation time reaches tclose AND speed difference condition is satisfied, the MCB closes. Closing occurs gradually over 0.01 seconds (soft engagement).
  • -
  • CLOSED (Operating state): Generator mechanically coupled to grid. Generator and grid rotate at same speed.
  • -
  • OPEN Command at t = t_open: When simulation time reaches topen, the MCB opens regardless of speed difference. Opening is immediate for emergency trip simulation.
  • -
- -

-The logic implements: CLOSE = (time ≥ t_close) AND (speed_diff_ok) and OPEN = (time ≥ t_open). -

- -
Parameters
-
    -
  • t_close: Time at which the MCB should close [s]. Default: 100 s. This represents when the generator has been brought up to speed and synchronization is attempted. Typical values: 50-300 s depending on startup procedure.
  • - -
  • t_open: Time at which the MCB should open [s]. Default: 300 s. This simulates disconnection events such as: -
      -
    • Scheduled shutdown
    • -
    • Emergency trip due to fault
    • -
    • Load rejection (generator trips offline)
    • -
    • Protection system activation
    • -
    - Set to large value (e.g., 1e6) if disconnection is not desired during simulation. -
  • - -
  • deltaSpeed: Maximum allowed speed difference for closing the MCB [per unit]. Default: 0.01 (1%). This ensures the generator is close to synchronous speed before connection. Typical range: -
      -
    • 0.001-0.005 (0.1-0.5%): Strict synchronization for large machines
    • -
    • 0.01 (1%): Standard synchronization criterion
    • -
    • 0.02-0.05 (2-5%): Relaxed criterion for smaller machines or educational models
    • -
    - Too tight: MCB may never close if generator speed oscillates around synchronous speed
    - Too loose: Connection causes mechanical shock and excessive transient torque -
  • -
- -
Inputs/Outputs
-
    -
  • genFlange (Flange_a): Rotational connection to generator shaft. Receives generator torque and speed.
  • -
  • gridFlange (Flange_b): Rotational connection to grid equivalent model. Transmits torque to/from grid.
  • -
- -
Applications
-
    -
  • Startup sequence simulation: Model bringing generator from standstill to synchronous speed, then synchronizing to grid. -
      -
    1. t = 0-tclose: MCB open, governor brings turbine/generator to near-synchronous speed
    2. -
    3. t = tclose: MCB closes when speed condition met, generator connects to grid
    4. -
    5. t > tclose: Normal operation, generator supplies power to grid
    6. -
    -
  • - -
  • Load rejection studies: Simulate sudden disconnection of generator from grid at t = topen. Evaluate: -
      -
    • Speed/frequency excursion after disconnection
    • -
    • Governor response to reject load quickly
    • -
    • Water hammer effects in penstock
    • -
    • Overspeed protection activation
    • -
    -
  • - -
  • Island operation: MCB opens at topen, generator continues operating disconnected from main grid, supplying isolated load.
  • - -
  • Reclosing sequences: Simulate fault clearing and automatic reclosing by setting tclose < topen < treclose (requires multiple MCB instances or modified logic).
  • - -
  • Synchronization failure analysis: If deltaSpeed is too strict or governor tuning poor, MCB may not close - helps identify control issues.
  • - -
  • Mechanical stress analysis: Evaluate shaft torques during connection/disconnection events.
  • -
- -
Implementation Notes
-
    -
  • The MCB uses Modelica Standard Library's Clutch component with very high maximum friction force (fn_max = 1e12) to ensure rigid coupling when closed.
  • -
  • A RelSpeedSensor continuously measures speed difference between generator and grid sides.
  • -
  • The TriggeredTrapezoid block provides soft engagement over 0.01 seconds when closing to avoid numerical discontinuities.
  • -
  • RS flip-flop ensures MCB remains closed once synchronized, even if speed difference temporarily exceeds threshold during transients.
  • -
  • MCB can only close once per simulation run (at tclose) unless additional control logic is added.
  • -
  • The model uses inner Data data to access nominal frequency f0 for speed difference calculations.
  • -
- -
Typical Usage Scenarios
- -

Scenario 1: Normal startup and continuous operation

-
    -
  • t_close = 100 s (synchronize after governor brings unit to speed)
  • -
  • t_open = 1e6 s (no disconnection during simulation)
  • -
  • deltaSpeed = 0.01 (1% synchronization tolerance)
  • -
  • Result: Generator connects at t=100s and remains connected
  • -
- -

Scenario 2: Load rejection test

-
    -
  • t_close = 100 s (synchronize and operate normally)
  • -
  • t_open = 300 s (trip generator offline)
  • -
  • deltaSpeed = 0.01
  • -
  • Result: Normal operation 100-300s, then sudden disconnection at 300s
  • -
  • Observe: Frequency spike, governor response, penstock pressure transient
  • -
- -

Scenario 3: Synchronization difficulty study

-
    -
  • t_close = 100 s
  • -
  • t_open = 1e6 s
  • -
  • deltaSpeed = 0.001 (very strict 0.1% tolerance)
  • -
  • Poorly tuned governor oscillates around synchronous speed
  • -
  • Result: MCB may delay closing until speed stabilizes, or never close if oscillations persist
  • -
  • Helps identify need for governor tuning improvements
  • -
- -

Scenario 4: Island to grid-connected transition

-
    -
  • t = 0-100s: Generator supplies local island load with MCB open
  • -
  • t = 100s: Grid becomes available, MCB closes to connect island to main grid
  • -
  • t > 100s: Generator participates in main grid frequency regulation
  • -
- -
Modeling Considerations
-
    -
  • Electrical vs Mechanical Representation: This is a mechanical equivalent. Real MCBs operate on electrical side with voltage/phase angle checking. This model uses speed (frequency) as proxy for synchronization.
  • - -
  • Simplified Synchronization: Real synchronization requires matching: -
      -
    • Phase angle (represented here as speed/frequency)
    • -
    • Voltage magnitude (not modeled - assumed matched by AVR)
    • -
    • Phase sequence (not modeled - assumed correct)
    • -
    -
  • - -
  • Closing Time: The 0.01 s rising time for clutch engagement is for numerical smoothness. Real circuit breakers close in 0.05-0.2 seconds (3-12 cycles at 50/60 Hz).
  • - -
  • Generator Model Selection: Use with SimpleGen for simplified studies or SynchGen for more detailed electromechanical dynamics including swing equation.
  • - -
  • Grid Model Requirements: MCB requires both generator-side and grid-side rotational connections. Typically: -
      -
    • genFlange ← connected to SynchGen or SimpleGen
    • -
    • gridFlange ← connected to Grid model or detailed electrical network
    • -
    -
  • -
- -
Troubleshooting
- -

Problem: MCB never closes (simulation reaches t_close but connection doesn't occur)

-
    -
  • Cause: Speed difference exceeds deltaSpeed threshold continuously
  • -
  • Solutions: -
      -
    • Check governor is properly tuned and bringing generator to synchronous speed
    • -
    • Increase deltaSpeed parameter (relax synchronization criterion)
    • -
    • Adjust governor droop, time constants, or power setpoint
    • -
    • Verify grid frequency is at nominal value (50 or 60 Hz)
    • -
    -
  • -
- -

Problem: Large torque spike when MCB closes

-
    -
  • Cause: deltaSpeed too large, significant speed mismatch at connection
  • -
  • Solutions: -
      -
    • Reduce deltaSpeed for stricter synchronization
    • -
    • Improve governor tuning to minimize speed oscillations
    • -
    • Increase rising time in TriggeredTrapezoid for softer engagement (if numerically stable)
    • -
    -
  • -
- -

Problem: Numerical issues (solver convergence problems) at MCB closing/opening

-
    -
  • Cause: Discontinuous clutch engagement creates numerical challenges
  • -
  • Solutions: -
      -
    • Use solver with event handling (Dassl, Cvode)
    • -
    • Reduce solver tolerance
    • -
    • The 0.01 s rising time helps smooth transition
    • -
    -
  • -
- -
Extensions and Advanced Usage
-
    -
  • Multiple disconnection events: Use multiple MCB models in series or modify control logic for reclosing sequences
  • -
  • External control: Replace time-based triggering with external Boolean signals for protection system integration
  • -
  • Voltage synchronization: For detailed studies, combine with OpenIPSL electrical models that check voltage magnitude and phase angle
  • -
  • Breaker failure: Modify logic to simulate failure to open/close for protection coordination studies
  • -
- -
See Also
-

-OpenHPL.ElectroMech.PowerSystem.MCB, -OpenHPL.ElectroMech.PowerSystem.Grid, -OpenHPL.ElectroMech.Generators.SynchGen, -OpenHPL.Controllers.Governor -

-")); -end MCB; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo deleted file mode 100644 index a82a33a8..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Pelton.mo +++ /dev/null @@ -1,74 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class Pelton "Description of Pelton turbine model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Pelton Turbine

-

-Similar to the Francis turbine model, the mechanistic Pelton turbine model is developed and used. The key quantities -of the model are shown in the figure, and the shaft power \\(\\dot{W}_s\\) produced in the Pelton turbine is defined -as follows: -

- -

- \"Pelton -

-

Figure: Some key concepts of the Pelton turbine.

- -

-$$ \\dot{W}_s=\\dot{m}v_R\\left[\\delta(u_\\delta)\\cdot v_1-v_R\\right]\\left(1-k\\cos\\beta\\right) $$ -

-

-Here, \\(\\dot{m}\\) is the mass flow rate through the turbine. The reference velocity is equal to \\(v_R = \\omega R\\): -here, \\(R\\) is a is the radius of the rotor where the mass hits the bucket and \\(\\omega\\) is the angular velocity -that is normally constrained by the grid frequency. The water velocity at position \"1\" is equal to \\(v_1=\\frac{\\dot{V}}{A_1}\\), -where \\(\\dot{V}\\) is the volumetric flow rate through the turbine and \\(A_1\\) is a cross-sectional area at position \"1\" -(the end of the nozzle). \\(\\beta\\) is the reflection angle with typical value of \\(\\beta= 165^{\\circ}\\), and -\\(k<1\\) is some friction factor, typically \\(k\\in[0.8, 0.9]\\). In practical installations, there is a deflector -mechanism to reduce the velocity \\(v_1\\delta(u_\\delta)\\) to avoid over-speed. -

- -

-The total work rate \\(\\dot{W}_t\\) removed through the turbine is: -

-

-$$ {\\dot{W}_t} = {\\dot{W}_s+\\dot{W}_{ft}} $$ -

-

-Here, \\(\\dot{W}_{ft}\\) is a friction of losses that can be found as follows: -

-

-$$ \\dot{W}_{ft}=K\\left(1-k\\cos\\beta\\right)\\dot{m}v_R^2 $$ -

-

-Here, friction coefficient \\(K\\) equals 0.25. -

- -

-In addition, the pressure drop across the nozzle (positions \"0\" and \"1\") \\(\\Delta p_n\\) can be found as follows: -

-

-$$ \\Delta p_n=\\frac{1}{2}\\rho\\dot{V}\\left[\\dot{V}\\left(\\frac{1}{A_1^2(Y)}-\\frac{1}{A_0^2}\\right)+k_f\\right] $$ -

-

-Here, \\(A_0\\) is a cross sectional area at position \"0\" (the beginning of the nozzle). \\(A_1(Y)\\) means that the -cross-sectional area at position \"1\" is a function of the needle position \\(Y\\). \\(k_f\\) is a coefficient of friction -loss in the nozzle. -

- -
Implementation
-

-Hence, this Pelton turbine model is realized in the Pelton turbine element in our library. In this Pelton -unit, the multi-physic TurbineContacts connectors model is also used and ensures connection to other waterway -and electro-mechanical units. In addition, this Pelton unit also has the standard Modelica RealInput -connector that describes the angular velocity as an input to the Pelton turbine model. Typically, this angular velocity -connector is based on the derived info from (connected to) the generator units. -

- -
Parameters
-

-In the Pelton unit, the user can specify the required geometry for the Pelton turbine: radius of the turbine -runner, input diameter of the nozzle, runner bucket angle, friction factors and coefficients, and deflector mechanism -coefficient. -

-", revisions="")); -end Pelton; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo deleted file mode 100644 index 985ac1b2..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SimpleGenerator.mo +++ /dev/null @@ -1,49 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class SimpleGenerator "Simple Generator Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Simple Generator

-

-A simple model of an ideal generator with friction is based on angular momentum balance. The kinetic energy -stored in the rotating generator is \\(K_a = \\frac{1}{2}J_a\\omega_a^2\\), where ωa -is angular velocity and Ja is moment of inertia. -

- -
Energy Balance
-

-From energy balance: -

-

-$$ \\frac{dK_a}{dt} = \\dot{W}_s - \\dot{W}_{f,a} - \\dot{W}_g $$ -

-

-where Ẇs is turbine shaft power, Ẇf,a is frictional power loss, and Ẇg -is power taken by generator. -

- -
Friction
-

-Frictional power loss (mainly from bearings): \\(\\dot{W}_{f,a} = \\frac{1}{2}k_{f,b}\\omega_a^2\\) -where kf,b is bearing friction factor. -

- -
Electric Power
-

-Electric power available on grid: \\(\\dot{W}_e = \\eta_e \\dot{W}_g\\) where ηe is -electrical efficiency. -

- -
Implementation
-

-The SimpleGen unit has RealInput connectors for grid power and shaft power, -and RealOutput connectors for angular velocity and frequency. -

- -
Parameters
-

-User specifies: moment of inertia, electrical efficiency, bearing friction factor, number of poles, and -initial angular velocity. -

-")); -end SimpleGenerator; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo deleted file mode 100644 index fd35030e..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/SynchronizeGenerator.mo +++ /dev/null @@ -1,97 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class SynchronizeGenerator "Description of synchronous generator model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Synchronous Generator

-

-Here, a more detailed model of the synchronous generator is presented. This model is based on the d-q decomposition -and assumed that the generator is connected to the grid. The voltage-current relation is given as: -

-

-$$ \\left[\\begin{matrix}R_a+R_e & x_q'+x_e\\\\ -x_d'-x_e & R_a+R_e\\end{matrix}\\right]\\left[\\begin{matrix}I_d \\\\ I_q\\end{matrix}\\right]= \\left[\\begin{matrix}E_d'+V_s\\sin\\delta_e \\\\ E_q'-V_s\\cos\\delta_e\\end{matrix}\\right] $$ -

-

-Here, \\(R_a\\) and \\(R_e\\) are the phase winding and equivalent network resistances, \\(x_d\\), \\(x_q\\), \\(x_d'\\), -and \\(x_q'\\) are d-/q-axis normal, and transient reactances. \\(x_e\\) is the equivalent network reactance. \\(I_d\\) -and \\(I_q\\) are the d-/q-axis currents. \\(E_d'\\) and \\(E_q'\\) are the d-/q-axis transient voltages. \\(V_s\\) is -the network RMS (Root-Mean-Squared) voltage. \\(\\delta_e\\) is the phase shift angle that is described as follows: -

-

-$$ \\frac{d\\delta_e}{dt} = (\\omega - \\omega_s)\\frac{n_p}{2} $$ -

-

-Here, \\(n_p\\) is the number of poles in the generator, where \\(\\omega\\) and \\(\\omega_s\\) are the generator and -grid angular velocities, respectively. The Swing equation is used to describe the angular velocity dynamics and looks as -follows: -

-

-$$ \\frac{d\\omega}{dt}=\\frac{\\dot{W}_s-P_e}{J\\omega} $$ -

- -

-The dynamic equations for the transient operation are as follows: -

-

-$$ -\\begin{array}{c} -T_{qo}'\\frac{dE_d'}{dt} =-E_d' + (x_q' - x_q)I_q \\\\ -T_{do}'\\frac{dE_q'}{dt} = -E_q' + (x_d - x_d')I_d + E_f -\\end{array} -$$ -

-

-Here, \\(T_{do}'\\) and \\(T_{qo}'\\) are the d-/q-axis transient open-circuit time constants. \\(E_f\\) is the voltage -across the field winding with the following dynamic equation: -

-

-$$ \\frac{dE_f}{dt} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$ -

-

-Here, \\(K_E\\) is the excitation system gain and \\(T_E\\) --- excitation system time constant. \\(V_{tr}\\) is the -voltage reference set point for the exciter. \\(V_t\\) is the terminal voltage and can be found as -\\(V_t = \\sqrt{\\left(E_d'-R_aI_d-x_q'I_q\\right)^2+\\left(E_q'-R_aI_q+x_d'I_d\\right)^2}\\). \\(V_{stab}\\) is the -stabilisation voltage with the following dynamic equation: -

-

-$$ \\frac{dV_{stab}}{dt} = \\frac{-V_{stab} + K_F\\frac{dE_f}{dt}}{T_{FE}} $$ -

-

-Here, \\(K_F\\) is the stabiliser gain, and \\(T_{FE}\\) --- the stabiliser time constant. -

- -

-The output active and reactive power of the generator can be found as follows: -

-

-$$ -\\begin{array}{c} -P_e = 3\\left(E_d'I_d+E_q'I_q\\right)\\\\ -Q_e = \\sqrt{9V_t^2I_t^2-P_e^2} -\\end{array} -$$ -

-

-Here, the terminate current is given as \\(I_t=\\sqrt{I_d^2+I_q^2}\\). -

- -
Implementation
-

-Hence, this synchronise generator model is encoded in the OpenHPL as a SynchGen unit. This unit has -inputs as the turbine shaft power, that is implemented with the standard Modelica RealInput connector. This -SynchGen unit also uses the standard Modelica RealOutput connectors in order to provide output -information about the angular velocity and frequency of the generator. All these connectors can be connected to turbines -units and other standard Modelica blocks. -

- -
Parameters
-

-In the SynchGen unit, the user can specify the required nominal parameters for the generator: active and reactive -powers drawn from the generator at Steady-State operating condition, phase winding resistance, and the number of poles. -The following network parameters should be also specified by the user: equivalent network resistance and reactance, network -RMS voltage, grid angular velocity. The user also specifies the d-/q-axis normal and transient reactances, d-/q-axis -transient open-circuit time constants, minimum and maximum field voltages, excitation system, stabilizer gains, time -constants, moment of inertia of the generator, and the friction factor in the rotor bearing box. This unit can be -initialized, or the user can decide on an option for the self initialisation. -

-", revisions="")); -end SynchronizeGenerator; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo deleted file mode 100644 index 64e3cfaa..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/Turbine.mo +++ /dev/null @@ -1,43 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.ElectroMechModels; -class Turbine "Simple Turbine Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Turbine

-

-The simple turbine model is based on a look-up table for turbine efficiency vs. guide vane opening. -The mechanical turbine shaft power is: -

-

-$$ \\dot{W}_\\mathrm{tr} = \\eta_\\mathrm{h} \\Delta p_\\mathrm{tr} \\dot{V}_\\mathrm{tr} $$ -

-

-where ηh is hydraulic efficiency from lookup table, Δptr is pressure drop, and -V̇tr is volumetric flow rate. -

- -
Flow Relationship
-

-The turbine flow rate relates to pressure drop through a valve-like expression: -

-

-$$ \\dot{V}_\\mathrm{tr} = C_\\mathrm{v} u_\\mathrm{v} \\sqrt{\\frac{\\Delta p_\\mathrm{tr}}{p^\\mathrm{a}}} $$ -

-

-where Cv is the guide vane \"valve capacity\", uv is guide vane opening signal -(0 to 1), and pa is atmospheric pressure. -

- -
Implementation
-

-The Turbine unit uses TurbineContacts connectors for multi-physics connections -to waterway and electro-mechanical units. -

- -
Parameters
-

-User specifies: valve capacity Cv, nominal net head, nominal flow rate, nominal guide vane -opening. User chooses either constant efficiency or efficiency lookup table. -

-")); -end Turbine; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo deleted file mode 100644 index c4ca2950..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.mo +++ /dev/null @@ -1,12 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements; -package ElectroMechModels "Electro-Mechanical Component Models" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Electro-Mechanical Models

-

-This section describes the turbine, generator, and governor models for the hydropower system. These models -range from simple lookup-table based approaches to detailed mechanistic models based on first principles. -

-")); -end ElectroMechModels; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order deleted file mode 100644 index 36349419..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/ElectroMechModels/package.order +++ /dev/null @@ -1,8 +0,0 @@ -Turbine -Francis -Pelton -SimpleGenerator -SynchronizeGenerator -Governor -Grid -MCB diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo deleted file mode 100644 index 08bf8563..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Functions/Fitting.mo +++ /dev/null @@ -1,97 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.Functions; -class Fitting "Pipe Fitting Pressure Drop" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Fitting

-

-The functions for defining the pressure drop in various pipe fittings are described here. Due to different -constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based -on friction pressure drop which can be calculated as: -

-

-$$ \\Delta p_\\mathrm{f} = \\frac{1}{2}\\varphi\\rho v|v| $$ -

-

-Here, the dimensionless factor φ is the generalized friction factor. For a long, straight pipe, -φ = fD L/D. -

- -
Types of Fittings
-

-Pressure drop equations are provided for different types of constrictions: -

- -
Square Reduction/Expansion Fittings
-

- \"Square - \"Square -

- -
Tapered Reduction/Expansion Fittings
-

- \"Tapered - \"Tapered -

- -
Rounded Reduction/Expansion Fittings
-

- \"Rounded - \"Rounded -

- -
Sharp/Thick Orifice Fittings
-

- \"Sharp - \"Thick -

- -
Implementation
-

-Based on the presented equations for the calculation of the dimensionless factor φ in various fittings, -a set of functions is encoded in the Fitting package, such as: -

-
    -
  • SquareReduction
  • -
  • SquareExpansion
  • -
  • TaperedReduction
  • -
  • TaperedExpansion
  • -
  • RoundedReduction
  • -
  • SharpOrifice
  • -
  • ThickOrifice
  • -
- -

-All these functions receive the Reynolds number NRe, diameters of first and second pipes -D1 and D2, and the pipe roughness height ε. Then, based on the appropriate -equations, these functions provide value for the dimensionless factor φ. -

- -
Example Code
-

-An example of Modelica code for the SquareReduction function: -

-
-function SquareReduction
-  input Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
-  input Modelica.SIunits.Height eps \"Pipe roughness height\";
-  input Modelica.SIunits.Diameter D_i, D_o \"Pipe diameters\";
-  output Real phi;
-protected
-  Real f_D \"friction factor\";
-algorithm
-  f_D := Functions.DarcyFriction.fDarcy(N_Re, D_1, eps);
-  if N_Re < 2500 then
-    phi := (1.2 + 160 / N_Re) * ((D_i / D_o) ^ 4 - 1);
-  else
-    phi := (0.6 + 0.48 * f_D) * (D_i / D_o) ^ 2 * ((D_i / D_o) ^ 2 - 1);
-  end if;
-end SquareReduction;
-
- -

-Another function, FittingPhi, calls the specific fitting functions based on a -FittingType parameter to provide the dimensionless factor φ for any fitting type. -

-")); -end Fitting; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo deleted file mode 100644 index a7dce80b..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Functions/FrictionTerm.mo +++ /dev/null @@ -1,102 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.Functions; -class FrictionTerm "Friction Force Calculation" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Friction Term

-

-First, the functions for defining the friction force in the waterway are described. The friction force -Ff is directed in the opposite direction of the velocity v (the linear velocity average across -the cross-section of the pipe) of the fluid. A common expression for friction force in the filled pipes -is the following: -

-

-$$ F_\\mathrm{f} = -\\frac{1}{8}\\pi\\rho LDf_\\mathrm{D}v|v| $$ -

-

-Here, L and D are related to the pipe length and diameter, respectively. fD is a Darcy friction -factor that is a function of Reynolds number NRe, with the roughness ratio ε/D as a parameter. -

- -

- \"Darcy -

-

Figure: Darcy friction factor as a function of the Reynolds number.

- -
Flow Regimes
-

-The turbulent region (NRe > 2.3×10³) is a flow regime where the velocity across the pipe has -a stochastic nature, and where the velocity v is relatively uniform across the pipe when we average the -velocity over some short period of time. The laminar region (NRe < 2.1×10³) is a flow regime -with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the -pipe wall and maximal velocity at the centre of the pipe. -

- -
Laminar Flow
-

-Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height ε. For -laminar flow in a cylindrical pipe (NRe < 2.1×10³), the Darcy friction factor fD -can be found using the following expression: -

-

-$$ f_\\mathrm{D} = \\frac{64}{N_\\mathrm{Re}} $$ -

-

-Here, the Reynolds number is found as follows: \\(N_\\mathrm{Re}=\\frac{\\rho|v|D}{\\mu}\\), where μ is the fluid viscosity. -

- -
Turbulent Flow
-

-For turbulent flow (NRe > 2.3×10³), the Darcy friction factor is expressed as: -

-

-$$ f_\\mathrm{D} = \\frac{1}{\\left(2\\log_{10}\\left(\\frac{\\epsilon}{3.7D} + \\frac{5.74}{N_\\mathrm{Re}^{0.9}}\\right)\\right)^2} $$ -

- -
Transition Zone
-

-In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a -cubic polynomial interpolation is used between the laminar value at NRe=2100 and the turbulent -value at NRe=2300, with matching slopes at both endpoints to achieve global differentiability. -

- -
Implementation
-

-Based on the presented equations for calculation of the friction force in the waterway, two functions are -encoded in class DarcyFriction: -

-
    -
  1. fDarcy — calculates the Darcy friction factor. This function has the following inputs: -Reynolds number NRe, pipe diameter D, and pipe roughness height ε. Returns the friction factor -fD.
  2. -
  3. Friction — calculates the actual friction force based on the response from the -fDarcy function. This function has the following inputs: linear velocity v, pipe length and -diameter L and D, liquid density and viscosity ρ and μ, and pipe roughness height ε. Returns friction force -Ff.
  4. -
- -
Example Code
-

-An example of a Modelica code for defining the Friction function: -

-
-function Friction \"Friction force with Darcy friction factor\"
-  import Modelica.Constants.pi;
-  input Modelica.SIunits.Velocity v \"Flow velocity\";
-  input Modelica.SIunits.Diameter D \"Pipe diameter\";
-  input Modelica.SIunits.Length L \"Pipe length\";
-  input Modelica.SIunits.Density rho \"Density\";
-  input Modelica.SIunits.DynamicViscosity mu \"Dynamic viscosity of water\";
-  input Modelica.SIunits.Height eps \"Pipe roughness height\";
-  output Modelica.SIunits.Force F_f \"Friction force\";
-protected
-  Modelica.SIunits.ReynoldsNumber N_Re \"Reynolds number\";
-  Real f \"friction factor\";
-algorithm
-  N_Re:= rho * abs(v) * D / mu;
-  f := fDarcy(N_Re, D, eps);
-  F_f := 0.5 * pi * f * rho * L * v * abs(v) * D / 4;
-end Friction;
-
-")); -end FrictionTerm; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo deleted file mode 100644 index b36b63bf..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Functions/KPScheme.mo +++ /dev/null @@ -1,89 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.Functions; -class KPScheme "Kurganov-Petrova Numerical Scheme" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

KP Scheme

-

-Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a -wellbalanced second-order scheme, which is a Riemann problem solver free scheme (central scheme) while -at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of -propagation during the calculation of the flux at the cell interfaces. -

- -
Mathematical Formulation
-

-The central-upwind numerical scheme is presented for the one-dimensional case: -

-

-$$ \\frac{\\partial U(x,t)}{\\partial t} + \\frac{\\partial F(x,t,U)}{\\partial x} = S(x,t,U) $$ -

-

-where U(x,t) is the state vector, F(x,t,U) is the vector of fluxes and S(x,t,U) is the source terms. -

- -

- \"Control -

-

Figure: Control volume/cell for finite volume discretization.

- -
Discretization
-

-With the finite volume method, we divide the grid into small control volumes/cells and then apply the -conservation laws. The semi-discrete (time-dependent ODEs) central-upwind scheme can be written as: -

-

-$$ \\frac{d}{dt}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$ -

-

-Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central -upwind numerical fluxes at the cell interfaces. The numerical fluxes are calculated using the one-sided -local speeds of propagation and the piecewise linearly reconstructed state values at cell interfaces. -

- -
Slope Limiter
-

-The slope sj of the reconstructed function in each cell is computed using a limiter function -to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized -minmod limiter. The parameter θ ∈ [1,2] is used to control or tune the amount of numerical -dissipation present in the resulting scheme. The value of θ = 1.3 is an acceptable starting point -in general. -

- -

- \"Ghost -

-

Figure: Ghost cells at the grid boundaries.

- -
Ghost Cells
-

-For boundary cells, imaginary cells called ghost cells are used outside the physical boundary. The -average value of the conserved variables at the centre of these ghost cells depends on the nature of -the physical boundary taken into account. -

- -
Implementation in OpenHPL
-

-Functions for each element of the KP scheme are implemented in the KP07 package: -

-
    -
  • GhostCells — provides values at ghost cells
  • -
  • SlopeVectorS — returns the slope vector using the minmod limiter
  • -
  • PieceWiseU — defines state values at cell interfaces
  • -
  • SpeedPropagationApipe — provides one-sided local speeds of propagation
  • -
  • FluxesH — defines central upwind numerical fluxes
  • -
  • KPmethod — primary function that assembles all components
  • -
- -

-Note: Due to simulation speed considerations, these functions are implemented as model type -instead of function type in OpenModelica. -

- -

-Examples of using the KP scheme for solving PDEs are provided in class KP07. More information -about using the KPmethod function is presented in the waterway modelling section for the -PenstockKP and OpenChannel units. -

-")); -end KPScheme; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo deleted file mode 100644 index 3647524b..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.mo +++ /dev/null @@ -1,11 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements; -package Functions "Functions and Algorithms" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Functions

-

-Here, a detailed description of the functions and their used algorithms in the library, are presented. -

-")); -end Functions; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order b/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order deleted file mode 100644 index 994235ea..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Functions/package.order +++ /dev/null @@ -1,3 +0,0 @@ -FrictionTerm -KPScheme -Fitting diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo b/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo deleted file mode 100644 index 393ea5ac..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Governor.mo +++ /dev/null @@ -1,34 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements; -class Governor "Description of Governor model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Governor

-

-Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power -production is described. The block diagram of this governor model is shown in the figure. -

- -

- \"Governor -

-

Figure: Block Diagram of the governor.

- -
Implementation
-

-Using the model in the figure and the standard Modelica blocks, the governor model is encoded in our library as the -Governor unit. This unit has inputs as the reference power production and generator frequency that are implemented -with the standard Modelica RealInput connector. This Governor unit also uses the standard Modelica -RealOutput connectors in order to provide output information about the turbine guide vane opening. -

- -
Parameters
-

-In the Governor unit (note: in the text it mentions SynchGen but this appears to be a typo in the -original document - should be Governor), the user can specify the various time constants of this model (see -figure): pilot servomotor time constant Tp, primary servomotor integration time Tg, and transient -droop time constant Tr. The user should also provide the following parameters: droop value σ, transient droop δ, -and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide -vane opening should also be specified. -

-", revisions="")); -end Governor; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo b/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo deleted file mode 100644 index 26d045f8..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/Interfaces.mo +++ /dev/null @@ -1,104 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements; -class Interfaces "Interface Connectors" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Interfaces

-

-A detailed description of the interface connectors is provided here. In the OpenHPL, -two types of connectors are typically used. The first type is the standard Modelica real input/output -connector, the other type is a set of connectors that represent the water flow and are modelled similar -to the connection in an electrical circuit with voltage and current, or similar to the idea of potential -and flow in Bond Graph models. -

- -
Contact Connector
-

-The water flow connector which is called Contact in the library, contains information about -the pressure in the connector and mass flow rate that flows through the connector. An example of a -Modelica code for defining the Contact connector looks as follows: -

-
-connector Contact \"Water flow connector\"
-  Modelica.SIunits.Pressure p \"Contact pressure\";
-  flow Modelica.SIunits.MassFlowRate mdot \"Mass flow rate through the contact\";
-  annotation (Icon(graphics={Ellipse(extent={{-100,-100},{100,100}}, 
-    lineColor={28,108,200}, fillColor={0,128,255}, 
-    fillPattern=FillPattern.Solid)}));
-end Contact;
-
- -
Extensions of Contact Connector
-

-In addition, some extensions of this water flow connector are developed for better use in the library: -

- -
TwoContact
-

-TwoContact is an extension from the Contact model which provides a model of -two connectors of inlet and outlet contacts: -

-
-partial model TwoContact \"Model of two connectors\"
-  Contact i \"Inlet contact\" 
-    annotation(Placement(transformation(extent={{-110,-10},{-90,10}})));
-  Contact o \"Outlet contact\" 
-    annotation(Placement(transformation(extent={{90,-10},{110,10}})));
-end TwoContact;
-
- -
ContactPort
-

-ContactPort is an extension from the TwoContact model which also provides -information about a mass flow rate between these two connectors. The mass flow rate that flows through -the inlet connector is equal to the mass flow through the outlet connector. This model is used for the -pipe modelling: -

-
-partial model ContactPort \"Model of two connectors with mass flow rate\"
-  Modelica.SIunits.MassFlowRate mdot \"Mass flow rate\";
-  extends TwoContact;
-equation
-  0 = i.mdot + o.mdot;
-  mdot = i.mdot;
-end ContactPort;
-
- -
ContactNode
-

-ContactNode is an extension from the TwoContact model and provides a node -pressure that is equal to the pressures from these two connectors. This model also defines the mass flow -rate that is the sum of the mass flow rates through the inlet and outlet connectors. This model is used -for the surge tank modelling: -

-
-partial model ContactNode \"Model of two connectors and node pressure\"
-  Modelica.SIunits.Pressure p_n \"Node pressure\";
-  Modelica.SIunits.MassFlowRate mdot \"Mass flow rate\";
-  extends TwoContact;
-equation
-  p_n = i.p;
-  i.p = o.p;
-  mdot = i.mdot + o.mdot;
-end ContactNode;
-
- -
TurbineContacts
-

-TurbineContacts is an extension from ContactPort model and provides the real -input and output connectors, additionally. This model is used for turbine modelling: -

-
-partial model TurbineContacts \"Model of turbine connectors\"
-  extends ContactPort;
-  input Modelica.Blocks.Interfaces.RealInput u_t 
-    \"[Guide vane|nozzle] opening of the turbine\" 
-    annotation (Placement(transformation(extent={{-20,-20},{20,20}}, 
-      rotation=-90, origin={0,120})));
-  Modelica.Blocks.Interfaces.RealOutput P_out \"Mechanical Output power\" 
-    annotation (Placement(transformation(origin={0,-110}, 
-      extent={{-10,-10},{10,10}}, rotation=270)));
-end TurbineContacts;
-
-")); -end Interfaces; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo deleted file mode 100644 index 69f8bf21..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/BendPipe.mo +++ /dev/null @@ -1,85 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class BendPipe "Description of Bend Pipe unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Pipe Bends

-

-The BendPipe unit models the head loss that occurs when water flows through a bend or elbow in a piping system. -Pipe bends are common in hydropower installations where the conduit path must change direction, and the associated -energy losses can be significant, especially at high flow velocities. -

- -
Loss Mechanism
-

-Flow through a bend creates secondary flows and flow separation, resulting in minor head losses. These losses are -typically expressed using a loss coefficient \\(K_L\\): -

-

-$$ \\Delta p = K_L \\cdot \\frac{1}{2} \\rho v^2 $$ -

-

-where: -

-
    -
  • \\(\\Delta p\\): Pressure drop across the bend [Pa]
  • -
  • \\(K_L\\): Loss coefficient (dimensionless) [-]
  • -
  • \\(\\rho\\): Water density [kg/m³]
  • -
  • \\(v\\): Flow velocity [m/s]
  • -
- -
Loss Coefficient
-

-The loss coefficient \\(K_L\\) depends on several factors: -

-
    -
  • Bend angle (45°, 90°, etc.)
  • -
  • Bend radius ratio (\\(r/D\\), where \\(r\\) is bend radius and \\(D\\) is pipe diameter)
  • -
  • Flow Reynolds number
  • -
  • Bend type (flanged, threaded, mitered)
  • -
  • Surface roughness
  • -
- -
Typical Loss Coefficient Values
-

-The model documentation includes reference values from standard fluid mechanics literature: -

- - - - - - - -
Fitting TypeTypical \\(K_L\\)
90° flanged elbow (r/D = 1)0.3
90° threaded elbow1.5
90° mitered elbow1.1
45° flanged elbow0.2
180° return bend2.2
-

-Note: Values may vary based on manufacturer specifications and installation conditions. Users should utilize manufacturer -data when available. -

- -
Model Parameters
-
    -
  • \\(K_L\\): Loss coefficient (user-specified or from manufacturer) [-]
  • -
  • \\(D_i\\): Inlet pipe diameter [m]
  • -
  • \\(D_o\\): Outlet pipe diameter [m] (typically equal to \\(D_i\\) for bends)
  • -
- -
Applications
-

-Accurate modeling of bend losses is important for: -

-
    -
  • Detailed hydraulic system analysis
  • -
  • Pressure profile calculations along complex conduit layouts
  • -
  • Optimization of piping layouts to minimize losses
  • -
  • Validation against field measurements
  • -
  • Economic analysis of different routing options
  • -
- -
Implementation Notes
-

-The BendPipe model is similar to the general Fitting model but is specifically tailored for -pipe bends with appropriate default values and documentation. It simplifies the setup when modeling systems -with multiple directional changes. -

-", revisions="")); -end BendPipe; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo deleted file mode 100644 index f234b734..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/DraftTube.mo +++ /dev/null @@ -1,72 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class DraftTube "Description of Draft Tube unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Draft Tube

-

-The draft tube is a critical component in reaction turbines (Francis, Kaplan) that connects the turbine runner outlet to the -tailrace. Its primary function is to convert residual kinetic energy from the turbine into pressure energy, thereby improving -overall turbine efficiency and enabling installation of the turbine above tailwater level. -

- -
Draft Tube Types
-

-The OpenHPL library includes models for two types of draft tubes: -

-
    -
  • Conical Diffuser: A simple conical expanding tube with gradually increasing diameter
  • -
  • Moody Spreading Pipe: A more complex design with main and branch sections, commonly used in larger installations
  • -
- -
Model Implementation
-

-The draft tube model is based on mass and momentum conservation. Key features include: -

-
    -
  • Variable cross-sectional area from inlet (Di) to outlet (Do)
  • -
  • Pressure recovery through area expansion
  • -
  • Friction losses along the tube walls
  • -
  • Support for inclined installation (angle \\(\\theta\\))
  • -
  • Different geometrical configurations depending on draft tube type
  • -
- -
Conical Diffuser Parameters
-

-For the conical diffuser type: -

-
    -
  • \\(H\\): Vertical height of the diffuser [m]
  • -
  • \\(L\\): Slant height of the diffuser [m]
  • -
  • \\(D_i\\): Inlet diameter [m]
  • -
  • \\(D_o\\): Outlet diameter [m]
  • -
  • \\(\\theta\\): Inclination angle [°]
  • -
  • Diffusion angle: Typically 8° for optimal performance
  • -
- -
Moody Spreading Pipe Parameters
-

-For the Moody spreading pipe configuration: -

-
    -
  • \\(L_m\\): Length of main section [m]
  • -
  • \\(L_b\\): Length of branch section [m]
  • -
  • \\(\\theta_{moody}\\): Branching angle (15°, 30°, 45°, 60°, or 90°)
  • -
- -
Application
-

-The draft tube model is essential for accurate simulation of reaction turbine systems. It affects: -

-
    -
  • Overall plant efficiency by recovering kinetic energy
  • -
  • Cavitation characteristics at the turbine outlet
  • -
  • Dynamic response during transient operations
  • -
  • Pressure pulsations and hydraulic stability
  • -
- -

-The model is particularly important when studying load rejection scenarios, start-up/shutdown sequences, or when -optimizing turbine installation elevation relative to tailwater. -

-", revisions="")); -end DraftTube; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo deleted file mode 100644 index 66b882c6..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Fitting.mo +++ /dev/null @@ -1,19 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Fitting "Description of Fitting unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Fitting

-

-There are various possibilities of the fittings for the pipes with different diameters as well as the existence -of orifices in the pipe. In this unit Fitting, the pressure drop due to these constrictions is -defined using the pressure drop equation and function FittingPhi. The Fitting unit uses -the ContactPort connector model in order to have inlet and outlet connectors and the possibility to -define pressure drop between those connectors. Then, this unit can be connected to the other waterway units. -

- -

-When the Fitting unit is in use, the user can postulate the specific type of fitting that is of -interest and required based on the geometry parameters for this fitting. -

-")); -end Fitting; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo deleted file mode 100644 index 02788a0a..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Gate.mo +++ /dev/null @@ -1,108 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Gate "Description of Gate unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Sluice and Tainter Gates

-

-The Gate unit models hydraulic gates used for flow control in hydropower systems and water management -structures. The library includes models for both sluice gates (vertical gates) and tainter gates (radial gates) -based on established hydraulic engineering principles. -

- -
Gate Types
-

-Two main gate configurations are supported: -

-
    -
  • Sluice Gate: Vertical gate that slides up and down (\\(\\alpha = 90°\\))
  • -
  • Tainter/Radial Gate: Curved gate pivoting around a horizontal axis above the gate
  • -
- -
Flow Modeling
-

-The gate discharge is calculated using the standard weir equation with correction coefficients: -

-

-$$ \\dot{V} = \\chi \\cdot \\mu_A \\cdot A \\cdot \\sqrt{2g h_0} $$ -

-

-where: -

-
    -
  • \\(\\dot{V}\\): Volume flow rate [m³/s]
  • -
  • \\(\\chi\\): Back-up coefficient (accounts for downstream submergence) [-]
  • -
  • \\(\\mu_A\\): Discharge coefficient [-]
  • -
  • \\(A\\): Gate opening area (\\(A = a \\cdot b\\)) [m²]
  • -
  • \\(g\\): Gravitational acceleration [m/s²]
  • -
  • \\(h_0\\): Upstream water level above gate bottom [m]
  • -
  • \\(a\\): Gate opening height [m]
  • -
  • \\(b\\): Gate width [m]
  • -
- -
Discharge Coefficient
-

-The discharge coefficient \\(\\mu_A\\) is calculated as: -

-

-$$ \\mu_A = \\frac{\\psi}{\\sqrt{1 + \\psi a / h_0}} $$ -

-

-where \\(\\psi\\) is the contraction coefficient, which depends on the gate type: -

-
    -
  • Sluice gate: \\(\\psi = \\frac{1}{1 + 0.64\\sqrt{1-(a/h_0)^2}}\\)
  • -
  • Tainter gate: \\(\\psi = 1.3 - 0.8\\sqrt{1 - ((\\alpha_{deg}-205)/220)^2}\\) where \\(\\alpha\\) is the gate edge angle
  • -
- -
Flow Regimes
-

-The model automatically distinguishes between two flow regimes: -

-
    -
  • Free flow (\\(\\chi = 1\\)): When downstream water level is below the critical level
  • -
  • Submerged/backed-up flow (\\(\\chi < 1\\)): When downstream water level affects the discharge
  • -
-

-The critical level for free flow is: -

-

-$$ h_{2,limit} = \\frac{a\\psi}{2}\\left(\\sqrt{1 + \\frac{16}{\\psi(1+\\psi a/h_0)} \\cdot \\frac{h_0}{a}} - 1\\right) $$ -

- -
Tainter Gate Geometry
-

-For tainter gates, additional geometric parameters are required: -

-
    -
  • \\(r\\): Radius of the gate arm [m]
  • -
  • \\(h_h\\): Height of the hinge above gate bottom [m]
  • -
  • \\(\\alpha\\): Edge angle of the gate, calculated as: \\(\\alpha = \\frac{\\pi}{2} - \\arcsin\\left(\\frac{h_h - a}{r}\\right)\\)
  • -
- -
Control Interface
-

-The gate model has a RealInput connector for the gate opening a [m], allowing -dynamic control of the gate position during simulation. -

- -
Applications
-

-Gate models are essential for: -

-
    -
  • Spillway operation and flood control
  • -
  • Intake gate operation in hydropower systems
  • -
  • Canal and irrigation system control
  • -
  • Emergency shutdown procedures
  • -
  • Water level regulation in reservoirs
  • -
- -
References
-

-The gate model is based on the hydraulic formulations presented in: -

-
    -
  • [Bollrich2019]: Bollrich, G. and Preißler, G., \"Technische Hydromechanik 2\", Beuth Verlag, 2019
  • -
-", revisions="")); -end Gate; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo deleted file mode 100644 index 833abf48..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/OpenChannel.mo +++ /dev/null @@ -1,74 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class OpenChannel "Description of Open Channel unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Open Channel

-

-Similarly to the detailed model of the pipe, the model of the open channel is also encoded in the library. The open channel -model looks as follows: -

-

-$$ \\frac{\\partial U}{\\partial t}+\\frac{\\partial F}{\\partial x} = S $$ -

-

-where: -

-
    -
  • \\(U=\\left[\\begin{matrix}q & z\\end{matrix}\\right]^T\\)
  • -
  • \\(F=\\left[\\begin{matrix}q & \\frac{q^2}{z-B}+\\frac{g}{2}\\left(z-B\\right)^2\\end{matrix}\\right]^T\\)
  • -
  • \\(S=\\left[\\begin{matrix}0 & -g\\left(z-B\\right)\\frac{\\partial B}{\\partial x}-\\frac{gf_n^2q|q|\\left(w+2\\left(z-B\\right)\\right)^\\frac{4}{3}}{w^\\frac{4}{3}}\\frac{1}{\\left(z-B\\right)^\\frac{7}{3}}\\end{matrix}\\right]^T\\)
  • -
-

-with: \\(z=h+B\\), and \\(q=\\frac{\\dot{V}}{w}\\). Here, h is water depth in the channel, B is the channel bed elevation, -q is the discharge per unit width w of the open channel. fn is the Manning's roughness coefficient. -

- -
Eigenvalues
-

-The KP scheme is described earlier, but some additional specific details for open channels should be added here. First, -the eigenvalues for this model are defined as follows: -

-

-$$ \\lambda_{1,2}=u\\pm\\sqrt{gh} $$ -

-

-where, u is the cross-section average water velocity. -

- -
Desingularization
-

-In the channel areas which are dry or almost dry (if the computational domain contains a dry bed, islands or coastal areas), -the values of \\(h_{i\\pm\\frac{1}{2}}^\\pm\\) could be very small or even zero. In such cases when -\\(h_{i\\pm\\frac{1}{2}}^\\pm<\\epsilon\\), with ε being an a-priori chosen small positive number (e.g. ε = 1e⁻⁵), -the velocity at the cell centres in the entire domain is recomputed by the desingularization formula: -

-

-$$ \\bar{u}_j=\\frac{2\\bar{h}_j\\bar{q}_j}{\\bar{h}_j^2+\\max\\left(\\bar{h}_j^2,\\epsilon^2\\right)} $$ -

-

-Then, the point values of the velocity \\(u_{i\\pm\\frac{1}{2}}^\\pm\\) at the left/right cell interfaces, -i.e., at \\(x_j = x_{j\\pm\\frac{1}{2}}\\) are computed using slope limiters. -

- -
Implementation
-

-Similar to the PenstockKP unit, the function for the KP scheme KPmethod from function class -KP07 is used in unit OpenChannel in order to discretize the presented PDEs into ODEs. The -values of states at the cell interfaces are taken from function KPmethod in the OpenChannel -unit in order to define the vectors of eigenvalues, the point values of the velocity, and the vector of fluxes. The -boundaries conditions are specified for the KPmethod function in the OpenChannel unit and -are the values for the inlet and outlet flows per unit width q₁ and q₂. -

- -
Connectors and Parameters
-

-The OpenChannel unit uses the TwoContact connector model that gives information about inlet -and outlet pressure (water depth in the channel) and the flow rate of two connectors which can be connected to other -waterway units. In this OpenChannel unit, the user can specify the required geometry parameters for the: -length L and width w of the channel, height vector H of the channel bed with a height from the left and right sides, -the Manning's roughness coefficient fn, and the number of cells N for the discretization. This unit can be -initialized by the initial value of the flow rate \\(\\dot{V}_0\\) and water depth h₀ for each cell of the channel. -User can also change the boundary condition for the KP scheme. -

-", revisions="")); -end OpenChannel; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo deleted file mode 100644 index 23016178..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/PenstockKP.mo +++ /dev/null @@ -1,70 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class PenstockKP "Elastic Penstock with KP Method" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Pipe with Compressible Water and Elastic Walls

- -
-Note on Model Evolution: The older Penstock model using the Staggered Grid scheme -is now marked as obsolete and should not be used for new models. The PenstockKP model documented -here, which implements the more accurate and numerically stable KP (Kurganov-Petrova) method, is the recommended -choice for all elastic penstock modeling. Existing models using Penstock should be migrated to -PenstockKP for improved accuracy and reliability. -
- -

-Unlike simple conduits, the penstock has considerable pressure variation due to considerable height drop. -To make the model more realistic, compressible water and elastic walls are taken into account using -compressibility coefficients. -

- -
Compressibility
-

-The isothermal compressibility βT relates density and pressure: -

-

-$$ \\rho \\approx \\rho^\\mathrm{atm}(1 + \\beta_T(p - p^\\mathrm{atm})) $$ -

-

-Similarly for pipe cross-section area due to elastic walls: -

-

-$$ A \\approx A^\\mathrm{atm}(1 + \\beta^\\mathrm{eq}(p - p^\\mathrm{atm})) $$ -

-

-The total compressibility βtot = βT + βeq is related to speed of sound -in water inside the pipe. -

- -
PDE Formulation
-

-Using these relationships, the ODEs for mass and momentum balances develop into PDEs. The KP scheme is -used for discretization: -

-

-$$ \\frac{\\partial U}{\\partial t} + \\frac{\\partial F}{\\partial x} = S $$ -

-

-where \\(U = [p_\\mathrm{p}, \\dot{m}_\\mathrm{p}]^T\\) is the state vector. -

- -

- \"Penstock -

- -
Implementation
-

-The PenstockKP unit uses the KPmethod function from KP07 to -discretize PDEs into ODEs. The eigenvalues λ1,2 = (vp ± √(vp² + -4Ap/(Apatm ρatm βtot))) / 2 determine the -speed of sound c = √(Ap/(Apatm ρatm βtot)). -

- -
Parameters
-

-User specifies: length, height difference, diameters, roughness, and number of cells N for discretization. -Initialization can be done with flow rate and pressure values, or from steady-state. -

-")); -end PenstockKP; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo deleted file mode 100644 index 0bb5bcbe..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Pipe.mo +++ /dev/null @@ -1,60 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Pipe "Simple Pipe Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Pipe

-

-The simple model of the pipe unit gives possibilities for easy modelling of different conduits: intake -race, penstock, tailrace, etc. The model assumes incompressible water and inelastic walls since there are -only small pressure variations. -

- -

- \"Pipe -

-

Figure: Model for flow through a pipe.

- -
Mass Balance
-

-For incompressible water, the mass in the filled pipe is constant: -

-

-$$ \\frac{dm_\\mathrm{c}}{dt} = \\dot{m}_\\mathrm{c,in} - \\dot{m}_\\mathrm{c,out} = 0 $$ -

- -
Momentum Balance
-

-The momentum balance can be expressed as: -

-

-$$ \\frac{dM_\\mathrm{c}}{dt} = \\dot{M}_\\mathrm{c,in} - \\dot{M}_\\mathrm{c,out} + F_\\mathrm{p,c} + F_\\mathrm{g,c} + F_\\mathrm{f,c} $$ -

-

-where: -

-
    -
  • Mc = mc vc is the momentum
  • -
  • Fp,c is the pressure force due to inlet/outlet pressure difference
  • -
  • Fg,c = mc g cos θc is the gravity force
  • -
  • Ff,c is the friction force calculated using the Darcy friction factor
  • -
- -
Features
-

-The Pipe unit: -

-
    -
  • Uses the ContactPort connector model
  • -
  • Assumes flow rate changes simultaneously throughout the pipe
  • -
  • Supports positive and negative slopes
  • -
  • Can be initialized with initial flow rate or steady-state
  • -
- -
Parameters
-

-User specifies: length Lc, height difference Hc, inlet and outlet diameters, -and pipe roughness height εc. -

-")); -end Pipe; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo deleted file mode 100644 index 2d995af3..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Reservoir.mo +++ /dev/null @@ -1,41 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Reservoir "Reservoir Model" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Reservoir

-

-The water level in the reservoir Hr is a key quantity. The reservoir model can be described by -mass and momentum balances. For a detailed model with inflow: -

-

-$$ H_\\mathrm{r}\\frac{d\\dot{m}_\\mathrm{r}}{dt} = \\frac{\\rho}{A_\\mathrm{r}}\\dot{V}_\\mathrm{r}^2 + A_\\mathrm{r}(p_\\mathrm{atm}-p_\\mathrm{r}) + \\rho gH_\\mathrm{r}A_\\mathrm{r} - F_\\mathrm{f,r} $$ -

-

-$$ \\frac{dm_\\mathrm{r}}{dt} = \\dot{m}_\\mathrm{r} $$ -

-

-where ṁr is the reservoir mass flow rate, Ar is the cross-sectional area, patm -and pr are atmospheric and outlet pressures, and Ff,r is the friction term. -

- -
Simplified Model
-

-In a simple case with constant reservoir level and infinite area, the reservoir is simply: -

-

-$$ p_\\mathrm{r} = p_\\mathrm{atm} + \\rho g H_\\mathrm{r} $$ -

- -
Usage
-

-The Reservoir unit uses the Contact connector and can be connected to other -waterway units. The user can: -

-
    -
  • Choose a simple model and calculate outlet pressure from the depth
  • -
  • Use a detailed model with inflow and specify reservoir geometry
  • -
  • Connect an input signal with varying water level
  • -
-")); -end Reservoir; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo deleted file mode 100644 index 44a76457..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/ReservoirChannel.mo +++ /dev/null @@ -1,19 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class ReservoirChannel "Description of Reservoir Channel unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Reservoir Channel

-

-In order to make a more detailed model of the reservoir, the open channel model is used, where the channel bed is -assumed to be flat (no slope). Here, the user also specifies the geometry parameters of the channel (reservoir) such as -length L and width w of the channel (reservoir), height vector H of the reservoir bed with height from the left and right -sides (should be same number in order to have flatbed), and the number of cells N for the discretization. This unit can -be initialized by the initial value of the water depth h₀ in the reservoir. -

- -

-The ReservoirChannel unit uses the Contact connector that provides information about the -outlet pressure and the flow rate from/to the reservoir which can be connected to other waterway units. -

-", revisions="")); -end ReservoirChannel; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo deleted file mode 100644 index b92f1430..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Runoff.mo +++ /dev/null @@ -1,214 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Runoff "Description of Runoff (HBV) model" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Runoff

-

-Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. -The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using -a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics -and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the -defined catchment areas can be found. -

- -

- \"HBV -

-

Figure: Structure of the HBV model.

- -

-The model is developed for each water storage component to define the dynamics and balances of the water. In addition, -the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The -air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water -storage component are performed for each elevation zone. -

- -
Snow Routine
-

-In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for -each elevation zone. Using the mass balance, the change in the dry snow storage volume \\(V_\\mathrm{s,d}\\), is found -as follows: -

-

-$$ \\frac{dV_\\mathrm{s,d}}{dt}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$ -

-

-Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation -in the form of snow is defined from the input precipitation flow, \\(\\dot{V}_\\mathrm{p}\\), based on the information -about the air temperature, T, a threshold temperature for snowmelt, TT, and for the area that is not covered -by lakes (the fractional area covered by the lakes, aL, is used): -

-

-$$ -\\dot{V}_\\mathrm{p,s}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}K_\\mathrm{CS}(1 - a_\\mathrm{L}), & \\mbox{if } T\\leq T_\\mathrm{T}\\\\ 0, & \\mbox{if } T>T_\\mathrm{T} \\end{cases} -$$ -

-

-Precipitation correction coefficients KCR and KCS are also used here, for the rainfall and -snowfall precipitations, respectively. Then, the flow of precipitation in the form of rain is defined as follows: -

-

-$$ -\\dot{V}_\\mathrm{p,r}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}(1 - a_\\mathrm{L}), & \\mbox{if } T>T_\\mathrm{T}\\\\ 0, & \\mbox{if } T\\leq T_\\mathrm{T} \\end{cases} -$$ -

-

-The flow of the melting snow (melting of snow from dry form to water form), \\(\\dot{V}_\\mathrm{d2w}\\), can be found -using the following expression based on the degree-day factor Kdd and the area of the elevation zone Ae: -

-

-$$ -\\dot{V}_\\mathrm{d2w}=\\begin{cases} A_\\mathrm{e}K_\\mathrm{dd}(T - T_\\mathrm{T})(1 - a_\\mathrm{L}), & \\mbox{if }T>T_\\mathrm{T}\\mbox{ and }V_\\mathrm{s,d}>0\\\\ 0, & \\mbox{otherwise} \\end{cases} -$$ -

-

-Finally, the flow out of the snow routine to the next soil moisture segment, \\(\\dot{V}_\\mathrm{s2s}\\), is found as -a sum of flows of precipitation in the form of rain, and the melted snow: -

-

-$$ \\dot{V}_\\mathrm{s2s}=\\dot{V}_\\mathrm{p,r}+\\dot{V}_\\mathrm{d2w} $$ -

-

-It should be noted that a simplification related to the threshold temperature, TT, is assumed here. This -threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented -model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow -in water form is not considered here, mostly due to the simplification with the threshold temperature. -

- -
Soil Moisture Routine
-

-In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration -from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, -the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), is found as follows: -

-

-$$ \\frac{dV_\\mathrm{s,m}}{dt}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$ -

-

-Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) -is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define -these snow-free zones, coefficient αe is used and equals one for snow-free areas and zero for covered-by-snow -areas. The actual evapotranspiration can be found from the potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), -the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), the area of the elevation zone Ae, and the -field capacity — threshold soil (ground) moisture storage, gT: -

-

-$$ -\\dot{V}_\\mathrm{s,e}=\\begin{cases} \\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} -$$ -

-

-The potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), is defined as the input to the hydrology model, similarly -to the air temperature and precipitations. -

- -

-The output of the soil moisture segment — the net runoff to the next segment, \\(\\dot{V}_\\mathrm{s2u}\\), can be found -based on the field capacity, gT, as follows: -

-

-$$ -\\dot{V}_\\mathrm{s2u}=\\begin{cases} \\Big(\\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\Big)^{\\beta}\\dot{V}_\\mathrm{s2s}, & \\mbox{if } 0\\leq V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{s2s}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} -$$ -

-

-Here, β is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil -moisture storage, and the net runoff from the soil moisture. Typically, β ∈ [2,3], which leads to nonlinearity in this -equation. -

- -
Runoff Routine
-

-The upper and lower zones are combined into one segment — the runoff routine. In this segment, the runoff from the -catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and -evapotranspiration from the lakes in the catchment area are also taken into account here. -

- -

-The upper zone characterises components with quick runoff. The following mass balance is used for the upper zone description: -

-

-$$ \\frac{dV_\\mathrm{u,w}}{dt}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$ -

-

-Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, -which defines the surface (fast) runoff, \\(\\dot{V}_\\mathrm{u2s}\\), and the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\). -\\(\\dot{V}_\\mathrm{u2l}\\) is the runoff to the lower zone and is defined by the percolation capacity, KPC, -for the area that is not covered by lakes: -

-

-$$ \\dot{V}_\\mathrm{u2l}=A_\\mathrm{e}(1-a_\\mathrm{L})K_\\mathrm{PC} $$ -

-

-The surface runoff, \\(\\dot{V}_\\mathrm{u2s}\\), can be found using the saturation threshold, sT, and the -water volume in the upper zone, \\(V_\\mathrm{u,w}\\): -

-

-$$ -\\dot{V}_\\mathrm{u2s}=\\begin{cases} a_1(V_\\mathrm{u,w}-A_\\mathrm{e}s_\\mathrm{T}), & \\mbox{if } V_\\mathrm{u,w}>A_\\mathrm{e}s_\\mathrm{T}\\\\ 0, & \\mbox{if } V_\\mathrm{u,w}\\leq A_\\mathrm{e}s_\\mathrm{T} \\end{cases} -$$ -

-

-Here, a₁ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, a₂, -is used for the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\), calculations: -

-

-$$ \\dot{V}_\\mathrm{u2q}=a_2\\min{(V_\\mathrm{u,w},A_\\mathrm{e}s_\\mathrm{T})} $$ -

-

-The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. -The following mass balance equation is used for the lower zone description: -

-

-$$ \\frac{dV_\\mathrm{l,w}}{dt}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$ -

-

-The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) -and \\(\\dot{V}_\\mathrm{e}\\) are the precipitation and the potential evapotranspiration flows, respectively. aL -is the fractional area covered by lakes. \\(\\dot{V}_\\mathrm{l2b}\\) is the base runoff from the lower zone that can be -found as follows: -

-

-$$ \\dot{V}_\\mathrm{l2b}=a_3V_\\mathrm{l,w} $$ -

-

-Here, a₃ is the recession constant similar to a₁ and a₂. -

- -

-The total runoff from the catchment, \\(\\dot{V}_\\mathrm{tot}\\), is a sum of the base, quick, surface runoffs for each -elevation zones, and is defined as follows: -

-

-$$ \\dot{V}_\\mathrm{tot}=\\sum\\limits_{i=1}^n(\\dot{V}_{\\mathrm{l2b},i}+\\dot{V}_{\\mathrm{u2s},i}+\\dot{V}_{\\mathrm{u2q},i}) $$ -

-

-Here, the base \\(\\dot{V}_{\\mathrm{l2b},i}\\), quick \\(\\dot{V}_{\\mathrm{u2q},i}\\), and surface -\\(\\dot{V}_{\\mathrm{u2s},i}\\) runoffs are first summed up for each of the n elevation zones and then these sums of -the base, quick and surface runoffs are added together. -

- -
Implementation
-

-This hydrology model is encoded in the OpenHPL library as the RunOff_zones unit where the main -defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector RealOutput -connector as an output from the model that can be connected to, for example, simple reservoir model Reservoir unit. -

- -

-In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each -of the elevation zones, the standard Modelica CombiTimeTable source models are used in order to read this -data from the text files. -

- -
Parameters
-

-When the RunOff_zones unit is in use, the user can specify the required geometry parameters for the catchment: -the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation -correction coefficients, field capacity and β parameter in soil moisture routine, threshold level for quick runoff in upper -zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and -recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where -the data for the CombiTimeTable models are stored. -

-", revisions="")); -end Runoff; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo deleted file mode 100644 index 2b08a2b5..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/SurgeTank.mo +++ /dev/null @@ -1,72 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class SurgeTank "Description of Surge Tank unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Surge Tank

-

-The surge shaft/tank will be presented here as a vertical open pipe with constant diameter together with manifold, -which connecting conduit, surge volume and penstock. Surge volume (vertical open pipe) is shown in the figure below. -

- -

- \"Surge -

-

Figure: Model for a vertical open pipe.

- -
Mass and Momentum Balances
-

-The model for the surge volume can be described by mass and momentum balances as follows: -

-

-\\[ -\\begin{array}{c} -\\frac{dm_\\mathrm{s}}{dt} = \\dot{m}_\\mathrm{s,in} = \\rho \\dot{V}_\\mathrm{s}\\\\ -\\frac{dm_\\mathrm{s}v_\\mathrm{s}}{dt} =\\dot{m}_\\mathrm{s,in}v_\\mathrm{s,in}+F_\\mathrm{p,s}+F_\\mathrm{g,s}+F_\\mathrm{f,s} -\\end{array} -\\] -

- -
Water Mass and Geometry
-

-Here, the mass of the water in the surge tank is \\(m_\\mathrm{s}=\\rho V_\\mathrm{s}=\\rho l_\\mathrm{s}A_\\mathrm{s}=\\rho A_\\mathrm{s}\\frac{h_\\mathrm{s}}{\\cos\\theta_\\mathrm{s}}\\), -where ρ is the water density, Vs is the volume of the water in the surge tank, hs and -ls are the height and length of the surge tank filled with water and As is the cross-section -area of the surge tank that defined from the vertical pipe diameter Ds. The water velocity -\\(v_\\mathrm{s}\\) can be defined as \\(v_\\mathrm{s}=\\dot{V}_\\mathrm{s}/A_\\mathrm{s}\\). The inlet water -velocity \\(v_\\mathrm{s,in}=\\dot{V}_\\mathrm{s}/A_\\mathrm{s}\\). -

- -
Forces
-

-Fp,s is the pressure force, due to the difference between the inlet and outlet pressures ps,1 -and patm and can be calculated as follows: -\\(F_\\mathrm{p,s}=A_\\mathrm{s}\\left(p_\\mathrm{s,1}-p_\\mathrm{atm}\\right)\\). There is also gravity force that -is defined as \\(F_\\mathrm{g,s}=m_\\mathrm{s}g\\cos\\theta_\\mathrm{s}\\), where g is the gravitational -acceleration and θs is the angle of the slope of the surge tank and can be defined from the ratio of -height difference Hs and length Ls. The last term in the momentum balance is friction force, -which can be calculated as \\(F_\\mathrm{f,s}=-\\frac{1}{8}l_\\mathrm{s}f_\\mathrm{D,s}\\pi\\rho D_\\mathrm{s}v_\\mathrm{s}|v_\\mathrm{s}|\\) -using Darcy friction factor fD,s for the surge tank. -

- -
Manifold
-

-The manifold is described by the preservation of mass in steady-state; the volumetric flow rate in the intake race -\\(\\dot{V}_\\mathrm{i}\\) equals to the sum of volumetric flow rates from surge volume \\(\\dot{V}_\\mathrm{s}\\) -and penstock \\(\\dot{V}_\\mathrm{p}\\): \\(\\dot{V}_\\mathrm{i}=\\dot{V}_\\mathrm{p}+\\dot{V}_\\mathrm{s}\\). -In addition, the manifold pressure is equal for all three connections. This manifold is already implemented in the -ContactNode connectors model that is used in this SurgeTank unit. Then, this unit can be -connected to other waterway units. -

- -
Parameters and Initialization
-

-In the SurgeTank unit, the user can specify the required geometry parameters for the surge tank -(vertical pipe): length Ls, height difference Hs, diameters Ds, pipe roughness -height εs, and value for the atmospheric pressure patm. In order to define the friction force -Ff,s the Friction function is used here. This unit can be initialized by the initial values -of the flow rate \\(\\dot{V}_\\mathrm{s,0}\\) and water height hs,0. Otherwise, the user can decide on -an option when the simulation starts from the steady-state and the OpenModelica automatically handles the initial -steady-state values (does not work properly in OpenModelica). -

-", revisions="")); -end SurgeTank; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo deleted file mode 100644 index 565324c6..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/Valve.mo +++ /dev/null @@ -1,87 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class Valve "Description of Valve unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Hydraulic Valve

-

-The Valve unit provides a simple model of a hydraulic valve for controlling water flow in hydropower systems. -The model is based on energy balance principles and can represent various types of control valves such as butterfly -valves, spherical valves, or needle valves. -

- -
Model Formulation
-

-The valve model uses a valve-like flow expression relating flow rate to pressure drop: -

-

-$$ \\dot{V} = C_v \\cdot u \\cdot \\sqrt{\\frac{2\\Delta p}{\\rho}} $$ -

-

-where: -

-
    -
  • \\(\\dot{V}\\): Volume flow rate [m³/s]
  • -
  • \\(C_v\\): Valve capacity coefficient [m²]
  • -
  • \\(u\\): Valve opening signal (0 = closed, 1 = fully open) [-]
  • -
  • \\(\\Delta p\\): Pressure drop across the valve [Pa]
  • -
  • \\(\\rho\\): Water density [kg/m³]
  • -
- -
Valve Capacity
-

-The valve capacity \\(C_v\\) can be specified in two ways: -

-
    -
  1. Direct specification: User provides \\(C_v\\) directly from manufacturer data
  2. -
  3. Calculated from nominal conditions: \\(C_v\\) is computed from nominal head \\(H_n\\) and nominal flow rate \\(\\dot{V}_n\\)
  4. -
- -
Efficiency
-

-The valve model can account for energy losses through an efficiency parameter \\(\\eta\\): -

-
    -
  • Constant efficiency: Single value (0 to 1)
  • -
  • Variable efficiency: Look-up table based on valve opening
  • -
-

-The valve power loss is calculated as: -

-

-$$ \\dot{W}_{loss} = \\dot{V} \\cdot \\Delta p \\cdot (1 - \\eta) $$ -

- -
Control Interface
-

-The valve has a RealInput connector called opening that accepts control signals: -

-
    -
  • opening = 0: Valve completely closed
  • -
  • opening = 1: Valve fully open
  • -
  • Intermediate values: Partial opening
  • -
- -
Applications
-

-The valve model is useful for: -

-
    -
  • Emergency shutdown scenarios
  • -
  • Flow regulation and control studies
  • -
  • Load rejection analysis
  • -
  • Testing different valve closing strategies to minimize water hammer
  • -
  • Bypass systems in hydropower plants
  • -
- -
Parameters
-

-Key parameters for the valve model: -

-
    -
  • \\(C_v\\): Valve capacity coefficient [m²]
  • -
  • \\(H_n\\): Nominal head [m] (if \\(C_v\\) is calculated)
  • -
  • \\(\\dot{V}_n\\): Nominal flow rate [m³/s] (if \\(C_v\\) is calculated)
  • -
  • \\(\\eta\\): Valve efficiency [-] or efficiency table
  • -
-", revisions="")); -end Valve; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo deleted file mode 100644 index f4c2cd35..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/VolumeFlowSource.mo +++ /dev/null @@ -1,83 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements.WaterwayModels; -class VolumeFlowSource "Description of Volume Flow Source unit" - extends Modelica.Icons.Information; - annotation (Documentation(info=" -

Volume Flow Source

-

-The VolumeFlowSource unit provides a boundary condition that prescribes a specified volume flow rate at -a connection point. This is particularly useful for testing individual components, validating models against -experimental data, or representing external flow sources with known characteristics. -

- -
Operating Modes
-

-The flow source can operate in two modes: -

-
    -
  • Fixed flow rate: Constant volume flow rate specified by parameter
  • -
  • Variable flow rate: Time-varying flow rate controlled through an input signal connector
  • -
- -
Mathematical Formulation
-

-The volume flow source imposes a flow rate condition: -

-

-$$ \\dot{V}(t) = \\dot{V}_{specified}(t) $$ -

-

-while the pressure at the source is determined by the connected system. This represents an \"ideal\" flow source -where the flow rate is maintained regardless of system pressure (within physical limits). -

- -
Parameters and Inputs
-

-Key configuration options: -

-
    -
  • Fixed mode: Constant flow rate \\(\\dot{V}\\) [m³/s]
  • -
  • Variable mode: RealInput connector for external flow control
  • -
  • Option to enable/disable flow variation
  • -
- -
Applications
-

-The VolumeFlowSource unit is useful for: -

-
    -
  • Component Testing: Isolate and test turbines, valves, or other components with controlled flow input
  • -
  • Model Validation: Drive models with measured flow rate time series from field data
  • -
  • Sensitivity Studies: Investigate system response to various flow patterns
  • -
  • Simplified Upstream Representation: Replace complex upstream waterway with equivalent flow source
  • -
  • Forced Response Analysis: Apply specific flow disturbances to study dynamic behavior
  • -
  • Runoff Modeling: Represent inflow from catchment areas or tributaries
  • -
- -
Usage Example
-

-A typical application is testing a turbine model. Instead of modeling the complete waterway from reservoir -through penstock, use a VolumeFlowSource to directly supply the turbine with a specified flow rate, -simplifying the model while focusing on turbine dynamics. -

- -
Implementation Notes
-

-When using variable flow rate mode with an input signal: -

-
    -
  • Connect the signal using Modelica.Blocks sources (Step, Ramp, Table, etc.)
  • -
  • Ensure smooth transitions to avoid numerical issues
  • -
  • The flow rate should remain within physically reasonable bounds
  • -
- -
Limitations
-

-The ideal flow source assumption means: -

-
    -
  • It can theoretically supply infinite pressure if needed to maintain flow
  • -
  • Not suitable for representing real pumps or turbines with characteristic curves
  • -
  • Should not be used in closed loops without pressure-defining boundaries
  • -
-", revisions="")); -end VolumeFlowSource; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo deleted file mode 100644 index edf6bab8..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.mo +++ /dev/null @@ -1,18 +0,0 @@ -within OpenHPL.UsersGuide.OpenHPLElements; -package WaterwayModels "Waterway Component Models" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

Waterway Models

-

-A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race, -penstock, tailrace), surge tanks, and various fittings. This section describes the models for these -waterway components. -

- -

- \"Hydropower -

-

Figure: Typical hydropower system structure.

-")); -end WaterwayModels; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order b/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order deleted file mode 100644 index bd510af0..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/WaterwayModels/package.order +++ /dev/null @@ -1,13 +0,0 @@ -Reservoir -Fitting -BendPipe -Pipe -SurgeTank -PenstockKP -OpenChannel -ReservoirChannel -Runoff -DraftTube -Valve -Gate -VolumeFlowSource diff --git a/OpenHPL/UsersGuide/OpenHPLElements/package.mo b/OpenHPL/UsersGuide/OpenHPLElements/package.mo deleted file mode 100644 index 607b37c1..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/package.mo +++ /dev/null @@ -1,79 +0,0 @@ -within OpenHPL.UsersGuide; -package OpenHPLElements "OpenHPL Library Elements" - extends Modelica.Icons.Information; - - annotation (Documentation(info=" -

OpenHPL Elements

-

-An overview of each element of the hydropower library OpenHPL is provided in this section. -A screenshot of OpenHPL in OpenModelica is shown in the figure below. -

-

- \"OpenModelica -

-

Figure: Screenshot of OpenModelica with the hydropower library.

- -
Library Structure
-

-The library is divided into various packages: -

-
-
Copyright
-
A documentation class that provides a reference to the license for this library.
- -
UsersGuide
-
A documentation class that provides the user's guide of this library.
- -
Data
-
A record that determines the common data set for this library. It is possible to insert this class -into models and use the common data set for the whole model.
- -
Examples
-
A package that provides various examples of using the library for hydropower systems as well as -examples of using OpenHPL together with power system library — OpenIPSL.
- -
Waterway
-
A package that consists of various unit models for the waterway of the hydropower system, such as -reservoirs, conduits, surge tank, pipe fittings, etc.
- -
ElectroMech
-
A package that provides the electro-mechanical components of the hydropower system and consists of -two main sub-packages: -
-
Turbines
-
with various turbine unit models
-
Generators
-
with simplified models of a generator
-
-
- -
Controllers
-
A package that holds a simple model for a governor of the hydropower system.
- -
Interfaces
-
A package of gives connector interfaces for the library components.
- -
Functions
-
A package of functions that consists of three sub-packages: -
    -
  • Fitting — Functions for calculation of pressure drop for various pipe fittings.
  • -
  • DarcyFriction — Functions to calculate the friction term in the pipe.
  • -
  • KP07 — Functions for PDEs using Kurganov-Petrova (KP) scheme.
  • -
-
- -
Icons
-
Package of icons used in the library.
- -
Types
-
Package of types used in the library.
- -
Tests
-
Package of various testing models. Not guaranteed to work and meant for development only.
-
- -

-Below, a detailed description of each unit model of the OpenHPL is provided. -

-")); -end OpenHPLElements; diff --git a/OpenHPL/UsersGuide/OpenHPLElements/package.order b/OpenHPL/UsersGuide/OpenHPLElements/package.order deleted file mode 100644 index 46c4a4b7..00000000 --- a/OpenHPL/UsersGuide/OpenHPLElements/package.order +++ /dev/null @@ -1,5 +0,0 @@ -Interfaces -Functions -WaterwayModels -ElectroMechModels -Governor diff --git a/OpenHPL/UsersGuide/package.mo b/OpenHPL/UsersGuide/package.mo index 826560a3..e4e6324b 100644 --- a/OpenHPL/UsersGuide/package.mo +++ b/OpenHPL/UsersGuide/package.mo @@ -1,12 +1,16 @@ within OpenHPL; -package UsersGuide "User's Guide Version 1.0.0" +package UsersGuide "User's Guide" extends Modelica.Icons.Information; annotation (preferredView="info", DocumentationClass=true, Documentation(info=" -

OpenHPL User's Guide

-

- -

+
+Documentation Structure: This User's Guide provides high-level information about the library, +installation, examples, and guidance for model selection. Detailed technical documentation (equations, +parameters, implementation details) is provided directly in each model class. Navigate to the specific +model you're interested in (e.g., Pipe, +Turbine) to see complete technical documentation. +
+

OpenHPL is an open-source hydropower library that consists of hydropower unit models and is encoded in Modelica. Modelica is a multi-domain as well as a component-oriented @@ -37,25 +41,11 @@ e.g., connecting with the Open-Instance Power System Library OpenIPSL -

-A more detailed description is presented in the following subsections of this User's Guide, -the User's Guide PDF -and the PhD thesis [Vytvytskyi2019]. -

- -
User's Guide Contents
-
Acknowledgements

-This work is supported by the Norwegian Research Council under the project \"Hydropower Systems Design and Analysis\" (HydroCen Grant No. 257588). +The very first version 1.0.0 of this library was created as part of the PhD thesis [Vytvytskyi2019], +which was supported by the Norwegian Research Council under the project \"Hydropower Systems Design and Analysis\" (HydroCen Grant No. 257588).

")); end UsersGuide; diff --git a/OpenHPL/UsersGuide/package.order b/OpenHPL/UsersGuide/package.order index 8cde990c..e8b3eff0 100644 --- a/OpenHPL/UsersGuide/package.order +++ b/OpenHPL/UsersGuide/package.order @@ -1,7 +1,2 @@ -Introduction -Installation -OpenHPLElements -Examples -BasicExample ReleaseNotes References diff --git a/OpenHPL/Waterway/OpenChannel.mo b/OpenHPL/Waterway/OpenChannel.mo index c2551310..cb243c4d 100644 --- a/OpenHPL/Waterway/OpenChannel.mo +++ b/OpenHPL/Waterway/OpenChannel.mo @@ -42,11 +42,50 @@ equation annotation ( Documentation(info="

Note: Currently under investigation for plausibility.

-

This is a model for the open channel (river). Could be used for modelling of run-of-river hydropower plants.

-

In this model it is assumed that the channel has the inlet and outlet from the bottom of the left and right sides, respectevely.

-

That is why this open channel should be connected from both sides to the Pipe elements. Connectors hold information about the inlet/outlet flow rate and the pressures that is defined as sum of atmospheric pressure and pressure of the water (depends on depth).

-

As boundary conditions, at least two of the four quentities (inlet flow or depth and outlet flow or depth) should be used.

-

Perhaps, this structure is not really useful and some modification should be done. This is still under discussion and has not been tested properly.

-

More info about the original model can be found in [Vytvytskyi2015].

+ +

Open Channel Model

+

Model for open channels (rivers) that can be used for modeling run-of-river hydropower plants. +The channel inlet and outlet are assumed to be at the bottom of the left and right sides, respectively.

+ +
Governing Equations
+

The open channel model is based on the following partial differential equation:

+

$$ \\frac{\\partial U}{\\partial t}+\\frac{\\partial F}{\\partial x} = S $$

+

where:

+
    +
  • \\(U=\\left[\\begin{matrix}q & z\\end{matrix}\\right]^T\\)
  • +
  • \\(F=\\left[\\begin{matrix}q & \\frac{q^2}{z-B}+\\frac{g}{2}\\left(z-B\\right)^2\\end{matrix}\\right]^T\\)
  • +
  • \\(S=\\left[\\begin{matrix}0 & -g\\left(z-B\\right)\\frac{\\partial B}{\\partial x}-\\frac{gf_n^2q|q|\\left(w+2\\left(z-B\\right)\\right)^\\frac{4}{3}}{w^\\frac{4}{3}}\\frac{1}{\\left(z-B\\right)^\\frac{7}{3}}\\end{matrix}\\right]^T\\)
  • +
+

with: \\(z=h+B\\), and \\(q=\\frac{\\dot{V}}{w}\\). Here, h is water depth in the channel, B is the channel bed elevation, +q is the discharge per unit width w of the open channel. fn is the Manning's roughness coefficient.

+ +
Eigenvalues
+

The eigenvalues for this model are defined as:

+

$$ \\lambda_{1,2}=u\\pm\\sqrt{gh} $$

+

where u is the cross-section average water velocity.

+ +
Desingularization
+

In dry or nearly dry channel areas, velocity at cell centers is recomputed using the desingularization formula:

+

$$ \\bar{u}_j=\\frac{2\\bar{h}_j\\bar{q}_j}{\\bar{h}_j^2+\\max\\left(\\bar{h}_j^2,\\epsilon^2\\right)} $$

+

applied when \\(h_{i\\pm\\frac{1}{2}}^\\pm<\\epsilon\\) (typically ε = 1e⁻⁵).

+ +
Implementation
+

Similar to PenstockKP, this model uses the KP method +(KPmethod function) to discretize the PDEs into ODEs.

+ +

Boundary conditions specify inlet and outlet flows per unit width q₁ and q₂. +Connectors should be connected to Pipe elements from both sides. +Connectors provide inlet/outlet flow rates and pressures (sum of atmospheric pressure and water depth-dependent pressure).

+ +
Parameters
+
    +
  • Geometry: channel length L and width w, bed height vector H at left/right sides
  • +
  • Manning's roughness coefficient fn
  • +
  • Number of discretization cells N
  • +
  • Initialization: initial flow rate \\(\\dot{V}_0\\) and water depth h₀ for each cell
  • +
+ +

Note: This model is still under discussion and has not been tested properly.

+

More details in [Vytvytskyi2015].

")); end OpenChannel; diff --git a/OpenHPL/Waterway/PenstockKP.mo b/OpenHPL/Waterway/PenstockKP.mo index aa88a0df..f44be7a4 100644 --- a/OpenHPL/Waterway/PenstockKP.mo +++ b/OpenHPL/Waterway/PenstockKP.mo @@ -116,30 +116,68 @@ equation // diff. equation der(U) = KP.diff_eq; annotation ( - Documentation(info="

This is a more detailed model for the pipe that mostly can be -used for proper modelling of the penstock or other conduits.

-

The model could include the elastic walls and compressible water -and use discretization method based on Kurganov-Petrova central upwind scheme (KP). -The geometry of the penstock is shown in the figure below:

+ Documentation(info=" +

Elastic Penstock with KP Method

+ +
+Note: The older Penstock model using the Staggered Grid scheme +is now marked as obsolete. This PenstockKP model, which implements the more accurate and numerically stable +KP (Kurganov-Petrova) method, is the recommended choice for all elastic penstock modeling. +
+ +

This is a detailed model for the pipe that can be used for proper modelling of the penstock or other conduits. +Unlike simple conduits, the penstock has considerable pressure variations due to substantial height drop. +To make the model more realistic, compressible water and elastic walls are taken into account.

+ +
Compressibility
+

The isothermal compressibility βT relates density and pressure:

+

$$ \\rho \\approx \\rho^\\mathrm{atm}(1 + \\beta_T(p - p^\\mathrm{atm})) $$

+

Similarly for pipe cross-section area due to elastic walls:

+

$$ A \\approx A^\\mathrm{atm}(1 + \\beta^\\mathrm{eq}(p - p^\\mathrm{atm})) $$

+

The total compressibility βtot = βT + βeq is related to the speed of sound +in water inside the pipe. The parameter PipeElasticity controls whether elastic walls are included.

+ +
PDE Formulation and KP Discretization
+

The model includes elastic walls and compressible water using the Kurganov-Petrova central upwind scheme (KP). +Using the compressibility relationships, the ODEs for mass and momentum balances develop into PDEs:

+

$$ \\frac{\\partial U}{\\partial t} + \\frac{\\partial F}{\\partial x} = S $$

+

where \\(U = [p_\\mathrm{p}, \\dot{m}_\\mathrm{p}]^T\\) is the state vector containing pressure and mass flow rate.

+

-

Conservation laws are usually solved by the finite-volume methods. -With the finite-volume method, we divide the grid into small control -volumes or control cells and then apply the conservation laws. -Here the pipe is divided in N segments, with input and -output pressure as a boundary conditions. -The given cell is denoted by j, i.e., it is the jth cell. -Cell average is calculated at the center of the cell and U denotes the -average values of the conserved variables. The left and the right interfaces of the -cell are denoted by j-1/2 and j+1/2 respectively. - At each cell interface, the right(+)/left(-) point values are reconstructed. -The letter adenotes the right and the left sided local speeds of propagation -at the left/right interface of the cell.

+

Figure: Geometry of the penstock model.

+ +

Conservation laws are solved by finite-volume methods. The pipe is divided into N segments, +with inlet and outlet pressures as boundary conditions. The given cell is denoted by j (the jth cell). +Cell averages are calculated at the center of the cell, and U denotes the average values of the conserved variables. +The left and right interfaces are denoted by j-1/2 and j+1/2 respectively. +At each cell interface, the right(+)/left(-) point values are reconstructed.

+

-

In order to determine the fluxes at the cell interface H and the -source term S, the KP scheme is used, which is a second order scheme that is well balanced.

+

Figure: Discretization scheme showing cell j with interfaces and reconstruction points.

+ +

To determine the fluxes at the cell interface and the source term S, the KP scheme is used, +which is a second-order scheme that is well-balanced.

-

More info about the KP pipe model can be found in can be found in -[Vytvytskyi2017]. + +

Implementation
+

The PenstockKP model uses the KP07.KPmethod function to discretize PDEs into ODEs. +The eigenvalues λ1,2 determine the wave propagation speeds and are related to the speed of sound +c = √(Ap/(Apatm ρatm βtot)).

+ +
Parameters
+

User specifies:

+
    +
  • Geometry: length L, height difference H, inlet/outlet diameters D_i/D_o, +roughness p_eps
  • +
  • Discretization: number of cells N
  • +
  • Model fidelity: PipeElasticity checkbox to enable/disable elastic walls
  • +
  • Initialization: flow rate Vdot_0 and pressure p_p0 vectors, or SteadyState flag
  • +
+ +
More Information
+

More info about the KP penstock model can be found in +[Vytvytskyi2017] and +[Vytvytskyi2019].

")); end PenstockKP; diff --git a/OpenHPL/Waterway/Pipe.mo b/OpenHPL/Waterway/Pipe.mo index 6e962bf5..985049f0 100644 --- a/OpenHPL/Waterway/Pipe.mo +++ b/OpenHPL/Waterway/Pipe.mo @@ -73,44 +73,67 @@ equation mdot = i.mdot "Inlet direction for mdot"; annotation ( - Documentation(info="

The simple model of the pipe gives possibilities - for easy modelling of different conduit: intake race, penstock, tail race, etc.

-

This model is described by the momentum differential equation, which depends - on pressure drop through the pipe together with friction and gravity forces. - The main defined variable is volumetric flow rate Vdot.

-

-

In this pipe model, the flow rate changes simultaneously in the whole pipe - (an information about the speed of wave propagation is not included here). - Water pressures can be shown just in the boundaries of pipe - (inlet and outlet pressure from connectors).

-

It should be noted that this pipe model provides possibilities for modelling - of pipes with both a positive and a negative slopes (positive or negative height difference).

-

If the pipe is slightly tapered then this can be taken into account by adjusting - K_c based on your taper geometry: 0.05–0.15 for gentle cones, - up to 0.6 for sharp contractions.

-
Friction Specification
-

The pipe friction can be specified using one of three methods via the friction_method parameter:

-
    -
  • Pipe Roughness (p_eps): Direct specification of absolute pipe roughness height (m). - Typical values: 0.0001-0.001 m for steel pipes, 0.001-0.003 m for concrete.
  • -
  • Moody Friction Factor (f): Dimensionless friction factor from Moody diagram. - Typical values: 0.01-0.05. Converted to equivalent roughness using fully turbulent flow approximation: - p_eps = 3.7·D·10-1/(2√f)
  • -
  • Manning Coefficient: Two notations are supported: -
      -
    • Manning's M coefficient (Strickler) [m1/3/s]: M = 1/n, typical values 60-110 for steel, - 30-60 for rock tunnels.
    • -
    • Manning's n coefficient [s/m1/3]: Typical values 0.009-0.013 for smooth steel, - 0.012-0.017 for concrete, 0.017-0.030 for rock tunnels. Use checkbox use_n to enable this notation.
    • -
    - These are then converted using: p_eps = D_h·3.097·e(-0.118/n) empirically derived from the Karman-Prandtl equation.
  • -
-

The conversions are simplified for hydropower applications assuming fully turbulent flow, - so they depend only on fixed pipe dimensions and the chosen friction coefficient.

- -
More info
-

More info about the pipe model can be found in - [Vytvytskyi2017] - and [Splavska2017a].

- ")); + Documentation(info=" +

Simple Pipe Model

+ +

The simple model of the pipe gives possibilities for easy modelling of different conduit: intake race, +penstock, tail race, etc. The model assumes incompressible water and inelastic walls since there are only +small pressure variations.

+ +

+

Figure: Model for flow through a pipe.

+ +
Mass and Momentum Balance
+ +

Mass Balance: For incompressible water, the mass in the filled pipe is constant:

+

$$ \\frac{dm_\\mathrm{c}}{dt} = \\dot{m}_\\mathrm{c,in} - \\dot{m}_\\mathrm{c,out} = 0 $$

+ +

Momentum Balance: The momentum balance is expressed as:

+

$$ \\frac{dM_\\mathrm{c}}{dt} = \\dot{M}_\\mathrm{c,in} - \\dot{M}_\\mathrm{c,out} + F_\\mathrm{p,c} + F_\\mathrm{g,c} + F_\\mathrm{f,c} $$

+

where:

+
    +
  • Mc = mc vc is the momentum
  • +
  • Fp,c is the pressure force due to inlet/outlet pressure difference
  • +
  • Fg,c = mc g cos θc is the gravity force
  • +
  • Ff,c is the friction force calculated using the Darcy friction factor
  • +
+ +

This model is described by the momentum differential equation, which depends on pressure drop through the pipe +together with friction and gravity forces. The main defined variable is volumetric flow rate Vdot.

+ +

In this pipe model, the flow rate changes simultaneously in the whole pipe (information about the speed of wave +propagation is not included). Water pressures are shown at the pipe boundaries (inlet and outlet pressure from connectors).

+ +
Features
+

It should be noted that this pipe model provides possibilities for modelling of pipes with both positive and negative +slopes (positive or negative height difference).

+ +

If the pipe is slightly tapered then this can be taken into account by adjusting K_c based on your +taper geometry: 0.05–0.15 for gentle cones, up to 0.6 for sharp contractions.

+ +
Friction Specification
+

The pipe friction can be specified using one of three methods via the friction_method parameter:

+
    +
  • Pipe Roughness (p_eps): Direct specification of absolute pipe roughness height (m). +Typical values: 0.0001-0.001 m for steel pipes, 0.001-0.003 m for concrete.
  • +
  • Moody Friction Factor (f): Dimensionless friction factor from Moody diagram. +Typical values: 0.01-0.05. Converted to equivalent roughness using fully turbulent flow approximation: +p_eps = 3.7·D·10-1/(2√f)
  • +
  • Manning Coefficient: Two notations are supported: +
      +
    • Manning's M coefficient (Strickler) [m1/3/s]: M = 1/n, typical values 60-110 for steel, +30-60 for rock tunnels.
    • +
    • Manning's n coefficient [s/m1/3]: Typical values 0.009-0.013 for smooth steel, +0.012-0.017 for concrete, 0.017-0.030 for rock tunnels. Use checkbox use_n to enable this notation.
    • +
    +These are then converted using: p_eps = D_h·3.097·e(-0.118/n) empirically derived from the Karman-Prandtl equation.
  • +
+

The conversions are simplified for hydropower applications assuming fully turbulent flow, +so they depend only on fixed pipe dimensions and the chosen friction coefficient.

+ +
More Information
+

More info about the pipe model can be found in + [Vytvytskyi2017] +and [Splavska2017a].

+")); end Pipe; diff --git a/OpenHPL/Waterway/Reservoir.mo b/OpenHPL/Waterway/Reservoir.mo index c3e6b1d6..f3a0460a 100644 --- a/OpenHPL/Waterway/Reservoir.mo +++ b/OpenHPL/Waterway/Reservoir.mo @@ -78,18 +78,39 @@ equation o.mdot = -data.rho * Vdot_o "Output flow connector"; //o.T = T_0 "TBD: Output temperature connector"; - annotation ( Documentation(info=" -

Simple model of the reservoir with different options:

+ annotation (Documentation(info=" +

Reservoir Model

+ +

Simple model of the reservoir with different options for modeling the water source of a hydropower system.

+ +

+ +

+

Figure: Reservoir model schematic.

+ +
Model Variants
    -
  • Default: Container with an initial water level of H_0. +
  • Default (Simple): Container with an initial water level of H_0. The water level will vary according to the outlet volume flow rate.
  • -
  • useLevel: The water level is determined by the level input.
  • +
  • useLevel: The water level is determined by the level input signal, +allowing external control of the (varying) reservoir levels.
  • useInflow: Reservoir starts with an initial water level of H_0 but uses the inflow input as additional water source (can also be negative -to simulate evaporation.
  • +to simulate evaporation or other losses).
-

- -

+ +
Governing Equations
+ +

Simplified Model: In the simple case with constant or slowly varying reservoir level, +the reservoir outlet pressure is simply:

+

$$ p_\\mathrm{o} = p_\\mathrm{atm} + \\rho g H $$

+ +

Detailed Model: For a detailed model with dynamics and inflow, +the mass and momentum balances are:

+

$$ H\\frac{d\\dot{m}}{dt} = \\frac{\\rho}{A}\\dot{V}^2 + A(p_\\mathrm{atm}-p_\\mathrm{o}) + \\rho gHA - F_\\mathrm{f,r} $$

+

$$ \\frac{dm}{dt} = \\dot{m}_\\mathrm{i} - \\dot{m}_\\mathrm{o} $$

+

where ṁ is the reservoir mass flow rate, A is the cross-sectional area, +patm and po are atmospheric and outlet pressures, and Ff,r is +the friction term (typically small for large reservoirs).

")); end Reservoir; diff --git a/OpenHPL/Waterway/ReservoirChannel.mo b/OpenHPL/Waterway/ReservoirChannel.mo index 9934e0fc..7b402bdc 100644 --- a/OpenHPL/Waterway/ReservoirChannel.mo +++ b/OpenHPL/Waterway/ReservoirChannel.mo @@ -31,7 +31,26 @@ equation o.mdot =-q*W*data.rho; o.p = data.p_a + data.rho * data.g * openChannel.h[N]; annotation ( - Documentation(info="

This is a model for the reservoir, based on the open channel (river) model.

-

Has not been tested properly.

+ Documentation(info=" +

Reservoir Channel Model

+

A more detailed reservoir model based on the open channel model, where the channel bed is assumed to be flat (no slope).

+ +
Description
+

This model extends the OpenChannel functionality for reservoir applications. +The flatbed assumption simplifies the model for reservoir scenarios where bed slope effects are negligible.

+ +
Parameters
+
    +
  • Geometry: channel (reservoir) length L and width w
  • +
  • Height vector H of reservoir bed with equal heights from left and right sides (ensuring flat bed)
  • +
  • Number of discretization cells N
  • +
  • Initialization: initial water depth h₀ in the reservoir
  • +
+ +
Connectors
+

Uses the Contact connector providing outlet pressure and flow rate +information, which can be connected to other waterway units.

+ +

Note: Has not been tested properly.

")); end ReservoirChannel; diff --git a/OpenHPL/Waterway/RunOff_zones.mo b/OpenHPL/Waterway/RunOff_zones.mo index 0cdcbb6a..c58892e2 100644 --- a/OpenHPL/Waterway/RunOff_zones.mo +++ b/OpenHPL/Waterway/RunOff_zones.mo @@ -110,11 +110,211 @@ equation annotation ( Documentation(info="

-This is the hydrology model that is based on the HBV hydrological model. -This model can be used to define the inflow (runoff) to the reservoir.

-

Here, the input data are used for the model and this data is in: -Resources/Tables/...

-

More info about model can be found in -[Shafiee2013].

+Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. +The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using +a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics +and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the +defined catchment areas can be found. +

+ +

+ \"HBV +

+

Figure: Structure of the HBV model.

+ +

+The model is developed for each water storage component to define the dynamics and balances of the water. In addition, +the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The +air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water +storage component are performed for each elevation zone. +

+ +
Snow Routine
+

+In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for +each elevation zone. Using the mass balance, the change in the dry snow storage volume \\(V_\\mathrm{s,d}\\), is found +as follows: +

+

+$$ \\frac{dV_\\mathrm{s,d}}{dt}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$ +

+

+Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation +in the form of snow is defined from the input precipitation flow, \\(\\dot{V}_\\mathrm{p}\\), based on the information +about the air temperature, T, a threshold temperature for snowmelt, TT, and for the area that is not covered +by lakes (the fractional area covered by the lakes, aL, is used): +

+

+$$ +\\dot{V}_\\mathrm{p,s}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}K_\\mathrm{CS}(1 - a_\\mathrm{L}), & \\mbox{if } T\\leq T_\\mathrm{T}\\\\ 0, & \\mbox{if } T>T_\\mathrm{T} \\end{cases} +$$ +

+

+Precipitation correction coefficients KCR and KCS are also used here, for the rainfall and +snowfall precipitations, respectively. Then, the flow of precipitation in the form of rain is defined as follows: +

+

+$$ +\\dot{V}_\\mathrm{p,r}=\\begin{cases} \\dot{V}_\\mathrm{p}K_\\mathrm{CR}(1 - a_\\mathrm{L}), & \\mbox{if } T>T_\\mathrm{T}\\\\ 0, & \\mbox{if } T\\leq T_\\mathrm{T} \\end{cases} +$$ +

+

+The flow of the melting snow (melting of snow from dry form to water form), \\(\\dot{V}_\\mathrm{d2w}\\), can be found +using the following expression based on the degree-day factor Kdd and the area of the elevation zone Ae: +

+

+$$ +\\dot{V}_\\mathrm{d2w}=\\begin{cases} A_\\mathrm{e}K_\\mathrm{dd}(T - T_\\mathrm{T})(1 - a_\\mathrm{L}), & \\mbox{if }T>T_\\mathrm{T}\\mbox{ and }V_\\mathrm{s,d}>0\\\\ 0, & \\mbox{otherwise} \\end{cases} +$$ +

+

+Finally, the flow out of the snow routine to the next soil moisture segment, \\(\\dot{V}_\\mathrm{s2s}\\), is found as +a sum of flows of precipitation in the form of rain, and the melted snow: +

+

+$$ \\dot{V}_\\mathrm{s2s}=\\dot{V}_\\mathrm{p,r}+\\dot{V}_\\mathrm{d2w} $$ +

+

+It should be noted that a simplification related to the threshold temperature, TT, is assumed here. This +threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented +model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow +in water form is not considered here, mostly due to the simplification with the threshold temperature. +

+ +
Soil Moisture Routine
+

+In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration +from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, +the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), is found as follows: +

+

+$$ \\frac{dV_\\mathrm{s,m}}{dt}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$ +

+

+Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) +is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define +these snow-free zones, coefficient αe is used and equals one for snow-free areas and zero for covered-by-snow +areas. The actual evapotranspiration can be found from the potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), +the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), the area of the elevation zone Ae, and the +field capacity — threshold soil (ground) moisture storage, gT: +

+

+$$ +\\dot{V}_\\mathrm{s,e}=\\begin{cases} \\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{e}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} +$$ +

+

+The potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), is defined as the input to the hydrology model, similarly +to the air temperature and precipitations. +

+ +

+The output of the soil moisture segment — the net runoff to the next segment, \\(\\dot{V}_\\mathrm{s2u}\\), can be found +based on the field capacity, gT, as follows: +

+

+$$ +\\dot{V}_\\mathrm{s2u}=\\begin{cases} \\Big(\\frac{V_\\mathrm{s,m}}{A_\\mathrm{e}g_\\mathrm{T}}\\Big)^{\\beta}\\dot{V}_\\mathrm{s2s}, & \\mbox{if } 0\\leq V_\\mathrm{s,m}< A_\\mathrm{e}g_\\mathrm{T}\\\\ \\dot{V}_\\mathrm{s2s}, & \\mbox{if } V_\\mathrm{s,m}\\geq A_\\mathrm{e}g_\\mathrm{T} \\end{cases} +$$ +

+

+Here, β is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil +moisture storage, and the net runoff from the soil moisture. Typically, β ∈ [2,3], which leads to nonlinearity in this +equation. +

+ +
Runoff Routine
+

+The upper and lower zones are combined into one segment — the runoff routine. In this segment, the runoff from the +catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and +evapotranspiration from the lakes in the catchment area are also taken into account here. +

+ +

+The upper zone characterises components with quick runoff. The following mass balance is used for the upper zone description: +

+

+$$ \\frac{dV_\\mathrm{u,w}}{dt}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$ +

+

+Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, +which defines the surface (fast) runoff, \\(\\dot{V}_\\mathrm{u2s}\\), and the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\). +\\(\\dot{V}_\\mathrm{u2l}\\) is the runoff to the lower zone and is defined by the percolation capacity, KPC, +for the area that is not covered by lakes: +

+

+$$ \\dot{V}_\\mathrm{u2l}=A_\\mathrm{e}(1-a_\\mathrm{L})K_\\mathrm{PC} $$ +

+

+The surface runoff, \\(\\dot{V}_\\mathrm{u2s}\\), can be found using the saturation threshold, sT, and the +water volume in the upper zone, \\(V_\\mathrm{u,w}\\): +

+

+$$ +\\dot{V}_\\mathrm{u2s}=\\begin{cases} a_1(V_\\mathrm{u,w}-A_\\mathrm{e}s_\\mathrm{T}), & \\mbox{if } V_\\mathrm{u,w}>A_\\mathrm{e}s_\\mathrm{T}\\\\ 0, & \\mbox{if } V_\\mathrm{u,w}\\leq A_\\mathrm{e}s_\\mathrm{T} \\end{cases} +$$ +

+

+Here, a₁ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, a₂, +is used for the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\), calculations: +

+

+$$ \\dot{V}_\\mathrm{u2q}=a_2\\min{(V_\\mathrm{u,w},A_\\mathrm{e}s_\\mathrm{T})} $$ +

+

+The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. +The following mass balance equation is used for the lower zone description: +

+

+$$ \\frac{dV_\\mathrm{l,w}}{dt}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$ +

+

+The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) +and \\(\\dot{V}_\\mathrm{e}\\) are the precipitation and the potential evapotranspiration flows, respectively. aL +is the fractional area covered by lakes. \\(\\dot{V}_\\mathrm{l2b}\\) is the base runoff from the lower zone that can be +found as follows: +

+

+$$ \\dot{V}_\\mathrm{l2b}=a_3V_\\mathrm{l,w} $$ +

+

+Here, a₃ is the recession constant similar to a₁ and a₂. +

+ +

+The total runoff from the catchment, \\(\\dot{V}_\\mathrm{tot}\\), is a sum of the base, quick, surface runoffs for each +elevation zones, and is defined as follows: +

+

+$$ \\dot{V}_\\mathrm{tot}=\\sum\\limits_{i=1}^n(\\dot{V}_{\\mathrm{l2b},i}+\\dot{V}_{\\mathrm{u2s},i}+\\dot{V}_{\\mathrm{u2q},i}) $$ +

+

+Here, the base \\(\\dot{V}_{\\mathrm{l2b},i}\\), quick \\(\\dot{V}_{\\mathrm{u2q},i}\\), and surface +\\(\\dot{V}_{\\mathrm{u2s},i}\\) runoffs are first summed up for each of the n elevation zones and then these sums of +the base, quick and surface runoffs are added together. +

+ +
Implementation
+

+This hydrology model is encoded in the OpenHPL library as the RunOff_zones unit where the main +defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector RealOutput +connector as an output from the model that can be connected to, for example, simple reservoir model Reservoir unit. +

+ +

+In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each +of the elevation zones, the standard Modelica CombiTimeTable source models are used in order to read this +data from the text files. +

+ +
Parameters
+

+When the RunOff_zones unit is in use, the user can specify the required geometry parameters for the catchment: +the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation +correction coefficients, field capacity and β parameter in soil moisture routine, threshold level for quick runoff in upper +zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and +recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where +the data for the CombiTimeTable models are stored. +

")); end RunOff_zones; diff --git a/OpenHPL/Waterway/SurgeTank.mo b/OpenHPL/Waterway/SurgeTank.mo index f6680ad5..32c76226 100644 --- a/OpenHPL/Waterway/SurgeTank.mo +++ b/OpenHPL/Waterway/SurgeTank.mo @@ -139,29 +139,62 @@ equation F_g = m * data.g * cos_theta; annotation ( Documentation(info=" -

The four different surge tank models can be chosen.

-

These surge tanks are:

+

Surge Tank Model

+ +

The surge shaft/tank is modeled as a vertical open pipe with constant diameter together with a manifold +connecting the conduit, surge volume, and penstock. Four different surge tank configurations are available:

+
    -
  1. Simple surge tank
  2. -
  3. Air cushion surge tank
  4. -
  5. Throttle valve surge tank
  6. -
  7. Sharp orifice surge tank
  8. +
  9. Simple surge tank - Basic vertical open pipe +

  10. +
  11. Air cushion surge tank - Includes compressed air chamber +

  12. +
  13. Throttle valve surge tank - With restricted throat section +

  14. +
  15. Sharp orifice surge tank - With orifice restriction +

-

All of the surge tanks are modeled using mass and momemtum balance.

-

All of the surge tank can be shown below.

-

This simple surge tank is shown below.

-

-

The air cushion surge tank is shown below:

-

+
Mass and Momentum Balances
+ +

All surge tank types are modeled using mass and momentum balance equations:

+

$$ \\frac{dm}{dt} = \\dot{m}_\\mathrm{s,in} = \\rho \\dot{V} $$

+

$$ \\frac{d(mv)}{dt} = \\dot{m}_\\mathrm{i}v_\\mathrm{i} + F_\\mathrm{p} + F_\\mathrm{g} + F_\\mathrm{f} $$

+ +
Water Mass and Geometry
+ +

The water mass in the surge tank is: $$ m = \\rho V = \\rho lA = \\rho A\\frac{h}{\\cos\\theta} $$ +where ρ is water density, V is volume, h and l are height and length of water column, +and A = πD²/4 is the cross-sectional area.

+ +

Water velocities: $$ v = \\frac{\\dot{V}}{A}, \\quad v_\\mathrm{i} = \\frac{\\dot{V}}{A} $$

+ +
Force Terms
+ +

Pressure force: $$ F_\\mathrm{p} = A(p_\\mathrm{i} - p^\\mathrm{atm}) $$ +where pi is inlet pressure and patm is atmospheric pressure.

+ +

Gravity force: $$ F_\\mathrm{g} = m g \\cos\\theta $$ +where θ = arccos(H/L) is the slope angle.

+ +

Friction force: $$ F_\\mathrm{f} = -\\frac{1}{8}lf_\\mathrm{D}\\pi\\rho Dv|v| $$ +calculated using the Darcy friction factor fD,s.

+ +
Manifold Connection
+ +

The manifold preserves mass in steady-state: $$ \\dot{V}_\\mathrm{i} = \\dot{V}_\\mathrm{p} + \\dot{V} $$ +The manifold pressure is equal for all three connections. This is implemented via ContactNode connectors.

+ + -

This sharp orifice surge tank is shown below.

-

+
Parameters and Initialization
-

The throttle valve surge tank is shown below:

-

+

Required geometry parameters: length L, height H, diameter D, +roughness pε, and atmospheric pressure patm. Initialize with flow rate V̇0 +and water height h0. Option for steady-state initialization is available.

-

The simple surge tank model can be found in [Splavska2017].

+
More Information
+

More details in [Splavska2017].

")); end SurgeTank; diff --git a/OpenHPL/Waterway/Valve.mo b/OpenHPL/Waterway/Valve.mo index 1dc9603d..66006f6b 100644 --- a/OpenHPL/Waterway/Valve.mo +++ b/OpenHPL/Waterway/Valve.mo @@ -15,24 +15,45 @@ model Valve "Simple hydraulic valve" equation connect(opening, u) annotation (Line(points={{0,120},{0,70}}, color={0,0,127})); annotation ( - Documentation(info="

-This is a simple model of hydraulic valve. -The model can use a constant efficiency or varying -efficiency from a lookup-table. -

-

-This model is based on the energy balance of a valve. -The valve capacity can either be specified -directly by the user by specifying C_v or it will be calculated from -the nominal head H_n and nominal flow rate Vdot_n. -

-

-The valve efficiency is in per-unit values from 0 to 1, where 1 means that there are no losses in the valve. -The valve power is defined as the product of the valve power and valve efficiency. -

-

-Besides hydraulic input and output, -there is an input u for controlling the valve opening. -

+ Documentation(info=" +

Hydraulic Valve Model

+ +

Simple model of a hydraulic valve for controlling water flow in hydropower systems. +Represents various control valve types (butterfly, spherical, needle valves) based on energy balance principles.

+ +
Flow Equation
+ +

The valve uses a valve-like flow expression relating flow rate to pressure drop:

+

$$ \\dot{V} = C_v \\cdot u \\cdot \\sqrt{\\frac{2\\Delta p}{\\rho}} $$

+

where Cv is the valve capacity coefficient [m²], u is valve opening (0=closed, 1=fully open), +Δp is pressure drop [Pa], and ρ is water density [kg/m³].

+ +
Valve Capacity
+ +

The valve capacity can be specified in two ways:

+
    +
  • Direct specification: User provides Cv from manufacturer data (set ValveCapacity=true)
  • +
  • From nominal conditions: Cv computed from nominal head Hn and flow rate V̇n (set ValveCapacity=false)
  • +
+ +
Efficiency Modeling
+ +

Energy losses can be modeled through efficiency parameter η (0 to 1):

+
    +
  • Constant efficiency: Single value
  • +
  • Variable efficiency: Lookup table based on valve opening
  • +
+

Valve power loss: $$ \\dot{W}_\\mathrm{loss} = \\dot{V} \\cdot \\Delta p \\cdot (1 - \\eta) $$

+ +
Control Interface
+ +

The opening input accepts control signals (0 = completely closed, 1 = fully open).

+ +
Applications
+ +

Useful for emergency shutdown scenarios, flow regulation, load rejection analysis, water hammer mitigation studies, and bypass systems.

+ +
More Information
+

This model extends BaseValve which contains the core valve equations.

")); end Valve; diff --git a/OpenHPL/Waterway/package.mo b/OpenHPL/Waterway/package.mo index b0a15083..1ac302a4 100644 --- a/OpenHPL/Waterway/package.mo +++ b/OpenHPL/Waterway/package.mo @@ -2,8 +2,17 @@ within OpenHPL; package Waterway "Different components of the hydropower system" extends OpenHPL.Icons.Water; - annotation ( - Documentation(info = " -

Different components of hydropower system. These components can be combined to create a model for whole hydropower system.

+ annotation (Documentation(info=" +

Waterway Models

+

+A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race, +penstock, tailrace), surge tanks, and various fittings. This section describes the models for these +waterway components. +

+ +

+ \"Hydropower +

+

Figure: Typical hydropower system structure.

")); end Waterway; diff --git a/OpenHPL/Waterway/package.order b/OpenHPL/Waterway/package.order index 8b413664..d3808165 100644 --- a/OpenHPL/Waterway/package.order +++ b/OpenHPL/Waterway/package.order @@ -14,4 +14,4 @@ RunOff_zones_input VolumeFlowSource Penstock OpenChannel -ReservoirChannel \ No newline at end of file +ReservoirChannel From 18a16ed6ee425287da7ca48835b1951007ea5f44 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Fri, 13 Feb 2026 16:27:45 +0100 Subject: [PATCH 4/8] Use upright font for derivative operator --- OpenHPL/ElectroMech/Generators/SimpleGen.mo | 2 +- OpenHPL/ElectroMech/Generators/SynchGen.mo | 12 ++++++------ OpenHPL/Functions/KP07/package.mo | 2 +- OpenHPL/Waterway/Pipe.mo | 4 ++-- OpenHPL/Waterway/Reservoir.mo | 4 ++-- OpenHPL/Waterway/RunOff_zones.mo | 8 ++++---- OpenHPL/Waterway/SurgeTank.mo | 4 ++-- 7 files changed, 18 insertions(+), 18 deletions(-) diff --git a/OpenHPL/ElectroMech/Generators/SimpleGen.mo b/OpenHPL/ElectroMech/Generators/SimpleGen.mo index 26965f67..6598c567 100644 --- a/OpenHPL/ElectroMech/Generators/SimpleGen.mo +++ b/OpenHPL/ElectroMech/Generators/SimpleGen.mo @@ -23,7 +23,7 @@ model SimpleGen "Model of a simple generator with mechanical connectors" where ωa is angular velocity and Ja is moment of inertia.

From energy balance:

-

$$ \\frac{dK_a}{dt} = \\dot{W}_s - \\dot{W}_{f,a} - \\dot{W}_g $$

+

$$ \\frac{\\mathrm{d}K_a}{\\mathrm{d}t} = \\dot{W}_s - \\dot{W}_{f,a} - \\dot{W}_g $$

where:

  • s is turbine shaft power
  • diff --git a/OpenHPL/ElectroMech/Generators/SynchGen.mo b/OpenHPL/ElectroMech/Generators/SynchGen.mo index aeea3c05..be0b92df 100644 --- a/OpenHPL/ElectroMech/Generators/SynchGen.mo +++ b/OpenHPL/ElectroMech/Generators/SynchGen.mo @@ -127,29 +127,29 @@ equation
Phase Shift Angle Dynamics
-

$$ \\frac{d\\delta_e}{dt} = (\\omega - \\omega_s)\\frac{n_p}{2} $$

+

$$ \\frac{\\mathrm{d}\\delta_e}{\\mathrm{d}t} = (\\omega - \\omega_s)\\frac{n_p}{2} $$

where \\(n_p\\) is number of poles, \\(\\omega\\) and \\(\\omega_s\\) are generator and grid angular velocities.

Swing Equation
-

$$ \\frac{d\\omega}{dt}=\\frac{\\dot{W}_s-P_e}{J\\omega} $$

+

$$ \\frac{\\mathrm{d}\\omega}{\\mathrm{d}t}=\\frac{\\dot{W}_s-P_e}{J\\omega} $$

Transient Operation

$$ \\begin{array}{c} -T_{qo}'\\frac{dE_d'}{dt} =-E_d' + (x_q' - x_q)I_q \\\\ -T_{do}'\\frac{dE_q'}{dt} = -E_q' + (x_d - x_d')I_d + E_f +T_{qo}'\\frac{\\mathrm{d}E_d'}{\\mathrm{d}t} =-E_d' + (x_q' - x_q)I_q \\\\ +T_{do}'\\frac{\\mathrm{d}E_q'}{\\mathrm{d}t} = -E_q' + (x_d - x_d')I_d + E_f \\end{array} $$

where \\(T_{do}'\\) and \\(T_{qo}'\\) are d-/q-axis transient open-circuit time constants.

Excitation System

Field voltage dynamics:

-

$$ \\frac{dE_f}{dt} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$

+

$$ \\frac{\\mathrm{d}E_f}{\\mathrm{d}t} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$

where \\(K_E\\) is excitation system gain, \\(T_E\\) is excitation time constant, \\(V_{tr}\\) is voltage reference set point, and \\(V_t = \\sqrt{\\left(E_d'-R_aI_d-x_q'I_q\\right)^2+\\left(E_q'-R_aI_q+x_d'I_d\\right)^2}\\) is terminal voltage.

Stabilization
-

$$ \\frac{dV_{stab}}{dt} = \\frac{-V_{stab} + K_F\\frac{dE_f}{dt}}{T_{FE}} $$

+

$$ \\frac{\\mathrm{d}V_{stab}}{\\mathrm{d}t} = \\frac{-V_{stab} + K_F\\frac{\\mathrm{d}E_f}{\\mathrm{d}t}}{T_{FE}} $$

where \\(K_F\\) is stabilizer gain and \\(T_{FE}\\) is stabilizer time constant.

Output Power
diff --git a/OpenHPL/Functions/KP07/package.mo b/OpenHPL/Functions/KP07/package.mo index 368db197..beeb42e8 100644 --- a/OpenHPL/Functions/KP07/package.mo +++ b/OpenHPL/Functions/KP07/package.mo @@ -33,7 +33,7 @@ With the finite volume method, we divide the grid into small control volumes/cel conservation laws. The semi-discrete (time-dependent ODEs) central-upwind scheme can be written as:

-$$ \\frac{d}{dt}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$ +$$ \\frac{\\mathrm{d}}{\\mathrm{d}t}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$

Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central diff --git a/OpenHPL/Waterway/Pipe.mo b/OpenHPL/Waterway/Pipe.mo index 985049f0..75fecf8b 100644 --- a/OpenHPL/Waterway/Pipe.mo +++ b/OpenHPL/Waterway/Pipe.mo @@ -86,10 +86,10 @@ small pressure variations.

Mass and Momentum Balance

Mass Balance: For incompressible water, the mass in the filled pipe is constant:

-

$$ \\frac{dm_\\mathrm{c}}{dt} = \\dot{m}_\\mathrm{c,in} - \\dot{m}_\\mathrm{c,out} = 0 $$

+

$$ \\frac{\\mathrm{d}m_\\mathrm{c}}{\\mathrm{d}t} = \\dot{m}_\\mathrm{c,in} - \\dot{m}_\\mathrm{c,out} = 0 $$

Momentum Balance: The momentum balance is expressed as:

-

$$ \\frac{dM_\\mathrm{c}}{dt} = \\dot{M}_\\mathrm{c,in} - \\dot{M}_\\mathrm{c,out} + F_\\mathrm{p,c} + F_\\mathrm{g,c} + F_\\mathrm{f,c} $$

+

$$ \\frac{\\mathrm{d}M_\\mathrm{c}}{\\mathrm{d}t} = \\dot{M}_\\mathrm{c,in} - \\dot{M}_\\mathrm{c,out} + F_\\mathrm{p,c} + F_\\mathrm{g,c} + F_\\mathrm{f,c} $$

where:

  • Mc = mc vc is the momentum
  • diff --git a/OpenHPL/Waterway/Reservoir.mo b/OpenHPL/Waterway/Reservoir.mo index f3a0460a..1d68793a 100644 --- a/OpenHPL/Waterway/Reservoir.mo +++ b/OpenHPL/Waterway/Reservoir.mo @@ -107,8 +107,8 @@ the reservoir outlet pressure is simply:

    Detailed Model: For a detailed model with dynamics and inflow, the mass and momentum balances are:

    -

    $$ H\\frac{d\\dot{m}}{dt} = \\frac{\\rho}{A}\\dot{V}^2 + A(p_\\mathrm{atm}-p_\\mathrm{o}) + \\rho gHA - F_\\mathrm{f,r} $$

    -

    $$ \\frac{dm}{dt} = \\dot{m}_\\mathrm{i} - \\dot{m}_\\mathrm{o} $$

    +

    $$ H\\frac{\\mathrm{d}\\dot{m}}{\\mathrm{d}t} = \\frac{\\rho}{A}\\dot{V}^2 + A(p_\\mathrm{atm}-p_\\mathrm{o}) + \\rho gHA - F_\\mathrm{f,r} $$

    +

    $$ \\frac{\\mathrm{d}m}{\\mathrm{d}t} = \\dot{m}_\\mathrm{i} - \\dot{m}_\\mathrm{o} $$

    where ṁ is the reservoir mass flow rate, A is the cross-sectional area, patm and po are atmospheric and outlet pressures, and Ff,r is the friction term (typically small for large reservoirs).

    diff --git a/OpenHPL/Waterway/RunOff_zones.mo b/OpenHPL/Waterway/RunOff_zones.mo index c58892e2..b7bbd4dc 100644 --- a/OpenHPL/Waterway/RunOff_zones.mo +++ b/OpenHPL/Waterway/RunOff_zones.mo @@ -136,7 +136,7 @@ each elevation zone. Using the mass balance, the change in the dry snow storage as follows:

    -$$ \\frac{dV_\\mathrm{s,d}}{dt}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$ +$$ \\frac{\\mathrm{d}V_\\mathrm{s,d}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$

    Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation @@ -188,7 +188,7 @@ from the snow-free areas. The net runoff to the next segment (upper zone) is als the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), is found as follows:

    -$$ \\frac{dV_\\mathrm{s,m}}{dt}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$ +$$ \\frac{\\mathrm{d}V_\\mathrm{s,m}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$

    Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) @@ -234,7 +234,7 @@ evapotranspiration from the lakes in the catchment area are also taken into acco The upper zone characterises components with quick runoff. The following mass balance is used for the upper zone description:

    -$$ \\frac{dV_\\mathrm{u,w}}{dt}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$ +$$ \\frac{\\mathrm{d}V_\\mathrm{u,w}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$

    Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, @@ -266,7 +266,7 @@ The lower zone characterises the lake and the groundwater storages and defines t The following mass balance equation is used for the lower zone description:

    -$$ \\frac{dV_\\mathrm{l,w}}{dt}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$ +$$ \\frac{\\mathrm{d}V_\\mathrm{l,w}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$

    The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) diff --git a/OpenHPL/Waterway/SurgeTank.mo b/OpenHPL/Waterway/SurgeTank.mo index 32c76226..fb20b8d5 100644 --- a/OpenHPL/Waterway/SurgeTank.mo +++ b/OpenHPL/Waterway/SurgeTank.mo @@ -159,8 +159,8 @@ connecting the conduit, surge volume, and penstock. Four different surge tank co

    Mass and Momentum Balances

    All surge tank types are modeled using mass and momentum balance equations:

    -

    $$ \\frac{dm}{dt} = \\dot{m}_\\mathrm{s,in} = \\rho \\dot{V} $$

    -

    $$ \\frac{d(mv)}{dt} = \\dot{m}_\\mathrm{i}v_\\mathrm{i} + F_\\mathrm{p} + F_\\mathrm{g} + F_\\mathrm{f} $$

    +

    $$ \\frac{\\mathrm{d}m}{\\mathrm{d}t} = \\dot{m}_\\mathrm{s,in} = \\rho \\dot{V} $$

    +

    $$ \\frac{\\mathrm{d}(mv)}{\\mathrm{d}t} = \\dot{m}_\\mathrm{i}v_\\mathrm{i} + F_\\mathrm{p} + F_\\mathrm{g} + F_\\mathrm{f} $$

    Water Mass and Geometry
    From 47526b85bee6c1777546768abb19252a1f92d5f2 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Fri, 13 Feb 2026 16:28:55 +0100 Subject: [PATCH 5/8] White space clean up. --- OpenHPL/Controllers/Governor.mo | 18 ++-- OpenHPL/ElectroMech/Generators/SimpleGen.mo | 4 +- OpenHPL/ElectroMech/Generators/SynchGen.mo | 8 +- OpenHPL/ElectroMech/Turbines/Pelton.mo | 4 +- OpenHPL/Functions/DarcyFriction/package.mo | 36 +++---- OpenHPL/Functions/Fitting/package.mo | 18 ++-- OpenHPL/Functions/KP07/package.mo | 30 +++--- OpenHPL/Interfaces/package.mo | 16 +-- OpenHPL/Waterway/Gate.mo | 2 +- OpenHPL/Waterway/OpenChannel.mo | 8 +- OpenHPL/Waterway/ReservoirChannel.mo | 4 +- OpenHPL/Waterway/RunOff_zones.mo | 104 ++++++++++---------- OpenHPL/Waterway/package.mo | 4 +- 13 files changed, 128 insertions(+), 128 deletions(-) diff --git a/OpenHPL/Controllers/Governor.mo b/OpenHPL/Controllers/Governor.mo index 31913d6b..d323d0d2 100644 --- a/OpenHPL/Controllers/Governor.mo +++ b/OpenHPL/Controllers/Governor.mo @@ -129,7 +129,7 @@ equation annotation (Documentation(info="

    Governor

    -Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power +Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power production is described. The block diagram of this governor model is shown in the figure.

    @@ -140,19 +140,19 @@ production is described. The block diagram of this governor model is shown in th
    Implementation

    -Using the model in the figure and the standard Modelica blocks, the governor model is encoded in our library as the -Governor unit. This unit has inputs as the reference power production and generator frequency that are implemented -with the standard Modelica RealInput connector. This Governor unit also uses the standard Modelica +Using the model in the figure and the standard Modelica blocks, the governor model is encoded in our library as the +Governor unit. This unit has inputs as the reference power production and generator frequency that are implemented +with the standard Modelica RealInput connector. This Governor unit also uses the standard Modelica RealOutput connectors in order to provide output information about the turbine guide vane opening.

    Parameters

    -In the Governor unit (note: in the text it mentions SynchGen but this appears to be a typo in the -original document - should be Governor), the user can specify the various time constants of this model (see -figure): pilot servomotor time constant Tp, primary servomotor integration time Tg, and transient -droop time constant Tr. The user should also provide the following parameters: droop value σ, transient droop δ, -and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide +In the Governor unit (note: in the text it mentions SynchGen but this appears to be a typo in the +original document - should be Governor), the user can specify the various time constants of this model (see +figure): pilot servomotor time constant Tp, primary servomotor integration time Tg, and transient +droop time constant Tr. The user should also provide the following parameters: droop value σ, transient droop δ, +and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide vane opening should also be specified.

    diff --git a/OpenHPL/ElectroMech/Generators/SimpleGen.mo b/OpenHPL/ElectroMech/Generators/SimpleGen.mo index 6598c567..2bace845 100644 --- a/OpenHPL/ElectroMech/Generators/SimpleGen.mo +++ b/OpenHPL/ElectroMech/Generators/SimpleGen.mo @@ -19,7 +19,7 @@ model SimpleGen "Model of a simple generator with mechanical connectors"

    Simple model of an ideal generator with friction based on angular momentum balance.

    Energy Balance
    -

    The kinetic energy stored in the rotating generator is \\(K_a = \\frac{1}{2}J_a\\omega_a^2\\), +

    The kinetic energy stored in the rotating generator is \\(K_a = \\frac{1}{2}J_a\\omega_a^2\\), where ωa is angular velocity and Ja is moment of inertia.

    From energy balance:

    @@ -44,7 +44,7 @@ where ωa is angular velocity and Ja is moment of inertia.
    Loading Options

    The generator can be loaded either:

      -
    • via the mechanical shaft connector (e.g., using the Grid model). +
    • via the mechanical shaft connector (e.g., using the Grid model). Set Pload input to 0 in this case.
    • or via the input connector Pload specifying the connected electrical load.
    diff --git a/OpenHPL/ElectroMech/Generators/SynchGen.mo b/OpenHPL/ElectroMech/Generators/SynchGen.mo index be0b92df..d7cadf1c 100644 --- a/OpenHPL/ElectroMech/Generators/SynchGen.mo +++ b/OpenHPL/ElectroMech/Generators/SynchGen.mo @@ -145,7 +145,7 @@ $$

    Excitation System

    Field voltage dynamics:

    $$ \\frac{\\mathrm{d}E_f}{\\mathrm{d}t} = \\frac{-E_f + K_E\\left(V_{tr}-V_t-V_{stab}\\right)}{T_E} $$

    -

    where \\(K_E\\) is excitation system gain, \\(T_E\\) is excitation time constant, \\(V_{tr}\\) is voltage reference set point, +

    where \\(K_E\\) is excitation system gain, \\(T_E\\) is excitation time constant, \\(V_{tr}\\) is voltage reference set point, and \\(V_t = \\sqrt{\\left(E_d'-R_aI_d-x_q'I_q\\right)^2+\\left(E_q'-R_aI_q+x_d'I_d\\right)^2}\\) is terminal voltage.

    Stabilization
    @@ -169,9 +169,9 @@ $$

Parameters
-

User specifies: nominal active/reactive powers, phase winding resistance, number of poles, network parameters -(equivalent resistance/reactance, RMS voltage, grid angular velocity), d-/q-axis reactances and time constants, -field voltage limits, excitation/stabilizer gains and time constants, moment of inertia, friction factor, and +

User specifies: nominal active/reactive powers, phase winding resistance, number of poles, network parameters +(equivalent resistance/reactance, RMS voltage, grid angular velocity), d-/q-axis reactances and time constants, +field voltage limits, excitation/stabilizer gains and time constants, moment of inertia, friction factor, and initialization options.

Note: For more advanced modeling, consider using generator models from OpenIPSL.

diff --git a/OpenHPL/ElectroMech/Turbines/Pelton.mo b/OpenHPL/ElectroMech/Turbines/Pelton.mo index ae178949..1cdfd3fd 100644 --- a/OpenHPL/ElectroMech/Turbines/Pelton.mo +++ b/OpenHPL/ElectroMech/Turbines/Pelton.mo @@ -89,7 +89,7 @@ equation
Nozzle Pressure Drop

Pressure drop across the nozzle (positions \"0\" and \"1\"):

$$ \\Delta p_n=\\frac{1}{2}\\rho\\dot{V}\\left[\\dot{V}\\left(\\frac{1}{A_1^2(Y)}-\\frac{1}{A_0^2}\\right)+k_f\\right] $$

-

where \\(A_0\\) is cross-sectional area at nozzle beginning, \\(A_1(Y)\\) is area at nozzle end (function of needle position Y), +

where \\(A_0\\) is cross-sectional area at nozzle beginning, \\(A_1(Y)\\) is area at nozzle end (function of needle position Y), and \\(k_f\\) is the nozzle friction loss coefficient.

Connectors
@@ -99,7 +99,7 @@ and \\(k_f\\) is the nozzle friction loss coefficient.

Parameters
-

User specifies: turbine runner radius, nozzle input diameter, runner bucket angle, friction factors and coefficients, +

User specifies: turbine runner radius, nozzle input diameter, runner bucket angle, friction factors and coefficients, deflector mechanism coefficient.

Note: This model has not been tested.

diff --git a/OpenHPL/Functions/DarcyFriction/package.mo b/OpenHPL/Functions/DarcyFriction/package.mo index 26e94069..ca90306a 100644 --- a/OpenHPL/Functions/DarcyFriction/package.mo +++ b/OpenHPL/Functions/DarcyFriction/package.mo @@ -6,16 +6,16 @@ package DarcyFriction "Functions to define the Darcy friction factor and frictio Documentation(info = "

Friction Term

-First, the functions for defining the friction force in the waterway are described. The friction force -Ff is directed in the opposite direction of the velocity v (the linear velocity average across -the cross-section of the pipe) of the fluid. A common expression for friction force in the filled pipes +First, the functions for defining the friction force in the waterway are described. The friction force +Ff is directed in the opposite direction of the velocity v (the linear velocity average across +the cross-section of the pipe) of the fluid. A common expression for friction force in the filled pipes is the following:

$$ F_\\mathrm{f} = -\\frac{1}{8}\\pi\\rho LDf_\\mathrm{D}v|v| $$

-Here, L and D are related to the pipe length and diameter, respectively. fD is a Darcy friction +Here, L and D are related to the pipe length and diameter, respectively. fD is a Darcy friction factor that is a function of Reynolds number NRe, with the roughness ratio ε/D as a parameter.

@@ -26,17 +26,17 @@ factor that is a function of Reynolds number NRe, with the roughness
Flow Regimes

-The turbulent region (NRe > 2.3×10³) is a flow regime where the velocity across the pipe has -a stochastic nature, and where the velocity v is relatively uniform across the pipe when we average the -velocity over some short period of time. The laminar region (NRe < 2.1×10³) is a flow regime -with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the +The turbulent region (NRe > 2.3×10³) is a flow regime where the velocity across the pipe has +a stochastic nature, and where the velocity v is relatively uniform across the pipe when we average the +velocity over some short period of time. The laminar region (NRe < 2.1×10³) is a flow regime +with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the pipe wall and maximal velocity at the centre of the pipe.

Laminar Flow

-Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height ε. For -laminar flow in a cylindrical pipe (NRe < 2.1×10³), the Darcy friction factor fD +Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height ε. For +laminar flow in a cylindrical pipe (NRe < 2.1×10³), the Darcy friction factor fD can be found using the following expression:

@@ -56,23 +56,23 @@ $$ f_\\mathrm{D} = \\frac{1}{\\left(2\\log_{10}\\left(\\frac{\\epsilon}{3.7D} +

Transition Zone

-In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a -cubic polynomial interpolation is used between the laminar value at NRe=2100 and the turbulent +In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a +cubic polynomial interpolation is used between the laminar value at NRe=2100 and the turbulent value at NRe=2300, with matching slopes at both endpoints to achieve global differentiability.

Implementation

-Based on the presented equations for calculation of the friction force in the waterway, two functions are +Based on the presented equations for calculation of the friction force in the waterway, two functions are encoded in class DarcyFriction:

    -
  1. fDarcy — calculates the Darcy friction factor. This function has the following inputs: -Reynolds number NRe, pipe diameter D, and pipe roughness height ε. Returns the friction factor +
  2. fDarcy — calculates the Darcy friction factor. This function has the following inputs: +Reynolds number NRe, pipe diameter D, and pipe roughness height ε. Returns the friction factor fD.
  3. -
  4. Friction — calculates the actual friction force based on the response from the -fDarcy function. This function has the following inputs: linear velocity v, pipe length and -diameter L and D, liquid density and viscosity ρ and μ, and pipe roughness height ε. Returns friction force +
  5. Friction — calculates the actual friction force based on the response from the +fDarcy function. This function has the following inputs: linear velocity v, pipe length and +diameter L and D, liquid density and viscosity ρ and μ, and pipe roughness height ε. Returns friction force Ff.
diff --git a/OpenHPL/Functions/Fitting/package.mo b/OpenHPL/Functions/Fitting/package.mo index 9e3c3c4d..8ddfd92c 100644 --- a/OpenHPL/Functions/Fitting/package.mo +++ b/OpenHPL/Functions/Fitting/package.mo @@ -1,19 +1,19 @@ within OpenHPL.Functions; package Fitting "Functions for pipe fitting" extends Modelica.Icons.UtilitiesPackage; - + annotation (Documentation(info="

Fitting

-The functions for defining the pressure drop in various pipe fittings are described here. Due to different -constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based +The functions for defining the pressure drop in various pipe fittings are described here. Due to different +constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based on friction pressure drop which can be calculated as:

$$ \\Delta p_\\mathrm{f} = \\frac{1}{2}\\varphi\\rho v|v| $$

-Here, the dimensionless factor φ is the generalized friction factor. For a long, straight pipe, +Here, the dimensionless factor φ is the generalized friction factor. For a long, straight pipe, φ = fD L/D.

@@ -48,7 +48,7 @@ Pressure drop equations are provided for different types of constrictions:
Implementation

-Based on the presented equations for the calculation of the dimensionless factor φ in various fittings, +Based on the presented equations for the calculation of the dimensionless factor φ in various fittings, a set of functions is encoded in the Fitting package, such as:

    @@ -62,8 +62,8 @@ a set of functions is encoded in the Fitting package, such as:

-All these functions receive the Reynolds number NRe, diameters of first and second pipes -D1 and D2, and the pipe roughness height ε. Then, based on the appropriate +All these functions receive the Reynolds number NRe, diameters of first and second pipes +D1 and D2, and the pipe roughness height ε. Then, based on the appropriate equations, these functions provide value for the dimensionless factor φ.

@@ -90,8 +90,8 @@ end SquareReduction;

-Another function, FittingPhi, calls the specific fitting functions based on a +Another function, FittingPhi, calls the specific fitting functions based on a FittingType parameter to provide the dimensionless factor φ for any fitting type.

-")); +")); end Fitting; diff --git a/OpenHPL/Functions/KP07/package.mo b/OpenHPL/Functions/KP07/package.mo index beeb42e8..f13de8d3 100644 --- a/OpenHPL/Functions/KP07/package.mo +++ b/OpenHPL/Functions/KP07/package.mo @@ -5,9 +5,9 @@ package KP07 "Methods for KP07 scheme" annotation (Documentation(info="

KP Scheme

-Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a -wellbalanced second-order scheme, which is a Riemann problem solver free scheme (central scheme) while -at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of +Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a +wellbalanced second-order scheme, which is a Riemann problem solver free scheme (central scheme) while +at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of propagation during the calculation of the flux at the cell interfaces.

@@ -29,24 +29,24 @@ where U(x,t) is the state vector, F(x,t,U) is the vector of fluxes and S(x,t,U)
Discretization

-With the finite volume method, we divide the grid into small control volumes/cells and then apply the +With the finite volume method, we divide the grid into small control volumes/cells and then apply the conservation laws. The semi-discrete (time-dependent ODEs) central-upwind scheme can be written as:

$$ \\frac{\\mathrm{d}}{\\mathrm{d}t}\\bar{U}_j(t) = -\\frac{H_{j+\\frac{1}{2}}(t) - H_{j-\\frac{1}{2}}(t)}{\\Delta x} + \\bar{S}_j(t) $$

-Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central -upwind numerical fluxes at the cell interfaces. The numerical fluxes are calculated using the one-sided +Here, Ūj are the cell centre average values, while Hj±1/2(t) are the central +upwind numerical fluxes at the cell interfaces. The numerical fluxes are calculated using the one-sided local speeds of propagation and the piecewise linearly reconstructed state values at cell interfaces.

Slope Limiter

-The slope sj of the reconstructed function in each cell is computed using a limiter function -to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized -minmod limiter. The parameter θ ∈ [1,2] is used to control or tune the amount of numerical -dissipation present in the resulting scheme. The value of θ = 1.3 is an acceptable starting point +The slope sj of the reconstructed function in each cell is computed using a limiter function +to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized +minmod limiter. The parameter θ ∈ [1,2] is used to control or tune the amount of numerical +dissipation present in the resulting scheme. The value of θ = 1.3 is an acceptable starting point in general.

@@ -57,8 +57,8 @@ in general.
Ghost Cells

-For boundary cells, imaginary cells called ghost cells are used outside the physical boundary. The -average value of the conserved variables at the centre of these ghost cells depends on the nature of +For boundary cells, imaginary cells called ghost cells are used outside the physical boundary. The +average value of the conserved variables at the centre of these ghost cells depends on the nature of the physical boundary taken into account.

@@ -76,13 +76,13 @@ Functions for each element of the KP scheme are implemented in the KP07

-Note: Due to simulation speed considerations, these functions are implemented as model type +Note: Due to simulation speed considerations, these functions are implemented as model type instead of function type in OpenModelica.

-Examples of using the KP scheme for solving PDEs are provided in class KP07. More information -about using the KPmethod function is presented in the waterway modelling section for the +Examples of using the KP scheme for solving PDEs are provided in class KP07. More information +about using the KPmethod function is presented in the waterway modelling section for the PenstockKP and OpenChannel units.

")); diff --git a/OpenHPL/Interfaces/package.mo b/OpenHPL/Interfaces/package.mo index a744eb1e..b99828b1 100644 --- a/OpenHPL/Interfaces/package.mo +++ b/OpenHPL/Interfaces/package.mo @@ -4,17 +4,17 @@ package Interfaces "Basic interface components" annotation (Documentation(info="

Interfaces

- In the OpenHPL, -two types of connectors are typically used. The first type is the standard Modelica real input/output -connector, the other type is a set of connectors that represent the water flow and are modelled similar -to the connection in an electrical circuit with voltage and current, or similar to the idea of potential + In the OpenHPL, +two types of connectors are typically used. The first type is the standard Modelica real input/output +connector, the other type is a set of connectors that represent the water flow and are modelled similar +to the connection in an electrical circuit with voltage and current, or similar to the idea of potential and flow in Bond Graph models.

Contact Connector

-The water flow connector which is called Contact in the library, contains information about -the pressure in the connector and mass flow rate that flows through the connector. An example of a +The water flow connector which is called Contact in the library, contains information about +the pressure in the connector and mass flow rate that flows through the connector. An example of a Modelica code for defining the Contact connector looks as follows:

@@ -32,7 +32,7 @@ In addition, some extensions of this water flow connector are developed for bett
 
 
TwoContacts

-TwoContacts is an extension from the Contact model which provides a model of +TwoContacts is an extension from the Contact model which provides a model of two connectors of inlet and outlet contacts:

@@ -44,7 +44,7 @@ end TwoContact;
 
 
TurbineContacts

-TurbineContacts is an extension from TwoContacts model and provides the real +TurbineContacts is an extension from TwoContacts model and provides the real input and output connectors, additionally. This model is used for turbine modelling:

diff --git a/OpenHPL/Waterway/Gate.mo b/OpenHPL/Waterway/Gate.mo
index 220e9d20..df125d4d 100644
--- a/OpenHPL/Waterway/Gate.mo
+++ b/OpenHPL/Waterway/Gate.mo
@@ -156,4 +156,4 @@ $$ \\frac{h_2^*}{a} = \\frac{\\psi}{2} \\cdot \\left( \\sqrt{ 1 + \\frac{16}{\\p
 So when \\(\\frac{h_2}{a} \\geq \\frac{h_2^*}{a}\\) then we have back-up flow.
 

")); -end Gate; \ No newline at end of file +end Gate; diff --git a/OpenHPL/Waterway/OpenChannel.mo b/OpenHPL/Waterway/OpenChannel.mo index cb243c4d..ba3da439 100644 --- a/OpenHPL/Waterway/OpenChannel.mo +++ b/OpenHPL/Waterway/OpenChannel.mo @@ -44,7 +44,7 @@ equation

Note: Currently under investigation for plausibility.

Open Channel Model

-

Model for open channels (rivers) that can be used for modeling run-of-river hydropower plants. +

Model for open channels (rivers) that can be used for modeling run-of-river hydropower plants. The channel inlet and outlet are assumed to be at the bottom of the left and right sides, respectively.

Governing Equations
@@ -70,11 +70,11 @@ q is the discharge per unit width w of the open channel. fn is the Ma

applied when \\(h_{i\\pm\\frac{1}{2}}^\\pm<\\epsilon\\) (typically ε = 1e⁻⁵).

Implementation
-

Similar to PenstockKP, this model uses the KP method +

Similar to PenstockKP, this model uses the KP method (KPmethod function) to discretize the PDEs into ODEs.

-

Boundary conditions specify inlet and outlet flows per unit width q₁ and q₂. -Connectors should be connected to Pipe elements from both sides. +

Boundary conditions specify inlet and outlet flows per unit width q₁ and q₂. +Connectors should be connected to Pipe elements from both sides. Connectors provide inlet/outlet flow rates and pressures (sum of atmospheric pressure and water depth-dependent pressure).

Parameters
diff --git a/OpenHPL/Waterway/ReservoirChannel.mo b/OpenHPL/Waterway/ReservoirChannel.mo index 7b402bdc..b37f215a 100644 --- a/OpenHPL/Waterway/ReservoirChannel.mo +++ b/OpenHPL/Waterway/ReservoirChannel.mo @@ -36,7 +36,7 @@ equation

A more detailed reservoir model based on the open channel model, where the channel bed is assumed to be flat (no slope).

Description
-

This model extends the OpenChannel functionality for reservoir applications. +

This model extends the OpenChannel functionality for reservoir applications. The flatbed assumption simplifies the model for reservoir scenarios where bed slope effects are negligible.

Parameters
@@ -48,7 +48,7 @@ The flatbed assumption simplifies the model for reservoir scenarios where bed sl
Connectors
-

Uses the Contact connector providing outlet pressure and flow rate +

Uses the Contact connector providing outlet pressure and flow rate information, which can be connected to other waterway units.

Note: Has not been tested properly.

diff --git a/OpenHPL/Waterway/RunOff_zones.mo b/OpenHPL/Waterway/RunOff_zones.mo index b7bbd4dc..5eaf3a93 100644 --- a/OpenHPL/Waterway/RunOff_zones.mo +++ b/OpenHPL/Waterway/RunOff_zones.mo @@ -110,10 +110,10 @@ equation annotation ( Documentation(info="

-Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. -The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using -a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics -and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the +Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. +The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using +a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics +and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the defined catchment areas can be found.

@@ -123,25 +123,25 @@ defined catchment areas can be found.

Figure: Structure of the HBV model.

-The model is developed for each water storage component to define the dynamics and balances of the water. In addition, -the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The -air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water +The model is developed for each water storage component to define the dynamics and balances of the water. In addition, +the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The +air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water storage component are performed for each elevation zone.

Snow Routine

-In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for -each elevation zone. Using the mass balance, the change in the dry snow storage volume \\(V_\\mathrm{s,d}\\), is found +In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for +each elevation zone. Using the mass balance, the change in the dry snow storage volume \\(V_\\mathrm{s,d}\\), is found as follows:

$$ \\frac{\\mathrm{d}V_\\mathrm{s,d}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{p,s}-\\dot{V}_\\mathrm{d2w} $$

-Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation -in the form of snow is defined from the input precipitation flow, \\(\\dot{V}_\\mathrm{p}\\), based on the information -about the air temperature, T, a threshold temperature for snowmelt, TT, and for the area that is not covered +Here, the flow of the precipitation in the form of snow is denoted as \\(\\dot{V}_\\mathrm{p,s}\\). This precipitation +in the form of snow is defined from the input precipitation flow, \\(\\dot{V}_\\mathrm{p}\\), based on the information +about the air temperature, T, a threshold temperature for snowmelt, TT, and for the area that is not covered by lakes (the fractional area covered by the lakes, aL, is used):

@@ -150,7 +150,7 @@ $$ $$

-Precipitation correction coefficients KCR and KCS are also used here, for the rainfall and +Precipitation correction coefficients KCR and KCS are also used here, for the rainfall and snowfall precipitations, respectively. Then, the flow of precipitation in the form of rain is defined as follows:

@@ -159,7 +159,7 @@ $$ $$

-The flow of the melting snow (melting of snow from dry form to water form), \\(\\dot{V}_\\mathrm{d2w}\\), can be found +The flow of the melting snow (melting of snow from dry form to water form), \\(\\dot{V}_\\mathrm{d2w}\\), can be found using the following expression based on the degree-day factor Kdd and the area of the elevation zone Ae:

@@ -168,34 +168,34 @@ $$ $$

-Finally, the flow out of the snow routine to the next soil moisture segment, \\(\\dot{V}_\\mathrm{s2s}\\), is found as +Finally, the flow out of the snow routine to the next soil moisture segment, \\(\\dot{V}_\\mathrm{s2s}\\), is found as a sum of flows of precipitation in the form of rain, and the melted snow:

$$ \\dot{V}_\\mathrm{s2s}=\\dot{V}_\\mathrm{p,r}+\\dot{V}_\\mathrm{d2w} $$

-It should be noted that a simplification related to the threshold temperature, TT, is assumed here. This -threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented -model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow +It should be noted that a simplification related to the threshold temperature, TT, is assumed here. This +threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented +model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow in water form is not considered here, mostly due to the simplification with the threshold temperature.

Soil Moisture Routine

-In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration -from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, +In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration +from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), is found as follows:

$$ \\frac{\\mathrm{d}V_\\mathrm{s,m}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{s2s}-\\dot{V}_\\mathrm{s2u}-\\alpha_\\mathrm{e}\\dot{V}_\\mathrm{s,e} $$

-Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) -is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define -these snow-free zones, coefficient αe is used and equals one for snow-free areas and zero for covered-by-snow -areas. The actual evapotranspiration can be found from the potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), -the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), the area of the elevation zone Ae, and the +Here, \\(\\dot{V}_\\mathrm{s2u}\\) is the net runoff to the next segment (the upper zone). \\(\\dot{V}_\\mathrm{s,e}\\) +is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define +these snow-free zones, coefficient αe is used and equals one for snow-free areas and zero for covered-by-snow +areas. The actual evapotranspiration can be found from the potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), +the volume of the soil moisture storage, \\(V_\\mathrm{s,m}\\), the area of the elevation zone Ae, and the field capacity — threshold soil (ground) moisture storage, gT:

@@ -204,12 +204,12 @@ $$ $$

-The potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), is defined as the input to the hydrology model, similarly +The potential evapotranspiration, \\(\\dot{V}_\\mathrm{e}\\), is defined as the input to the hydrology model, similarly to the air temperature and precipitations.

-The output of the soil moisture segment — the net runoff to the next segment, \\(\\dot{V}_\\mathrm{s2u}\\), can be found +The output of the soil moisture segment — the net runoff to the next segment, \\(\\dot{V}_\\mathrm{s2u}\\), can be found based on the field capacity, gT, as follows:

@@ -218,15 +218,15 @@ $$ $$

-Here, β is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil -moisture storage, and the net runoff from the soil moisture. Typically, β ∈ [2,3], which leads to nonlinearity in this +Here, β is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil +moisture storage, and the net runoff from the soil moisture. Typically, β ∈ [2,3], which leads to nonlinearity in this equation.

Runoff Routine

-The upper and lower zones are combined into one segment — the runoff routine. In this segment, the runoff from the -catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and +The upper and lower zones are combined into one segment — the runoff routine. In this segment, the runoff from the +catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and evapotranspiration from the lakes in the catchment area are also taken into account here.

@@ -237,16 +237,16 @@ The upper zone characterises components with quick runoff. The following mass ba $$ \\frac{\\mathrm{d}V_\\mathrm{u,w}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{s2u}-\\dot{V}_\\mathrm{u2l}-\\dot{V}_\\mathrm{u2s}-\\dot{V}_\\mathrm{u2q} $$

-Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, -which defines the surface (fast) runoff, \\(\\dot{V}_\\mathrm{u2s}\\), and the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\). -\\(\\dot{V}_\\mathrm{u2l}\\) is the runoff to the lower zone and is defined by the percolation capacity, KPC, +Here, \\(V_\\mathrm{u,w}\\) is the water volume in the upper zone that depends on the saturation threshold, sT, +which defines the surface (fast) runoff, \\(\\dot{V}_\\mathrm{u2s}\\), and the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\). +\\(\\dot{V}_\\mathrm{u2l}\\) is the runoff to the lower zone and is defined by the percolation capacity, KPC, for the area that is not covered by lakes:

$$ \\dot{V}_\\mathrm{u2l}=A_\\mathrm{e}(1-a_\\mathrm{L})K_\\mathrm{PC} $$

-The surface runoff, \\(\\dot{V}_\\mathrm{u2s}\\), can be found using the saturation threshold, sT, and the +The surface runoff, \\(\\dot{V}_\\mathrm{u2s}\\), can be found using the saturation threshold, sT, and the water volume in the upper zone, \\(V_\\mathrm{u,w}\\):

@@ -255,23 +255,23 @@ $$ $$

-Here, a₁ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, a₂, +Here, a₁ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, a₂, is used for the fast runoff, \\(\\dot{V}_\\mathrm{u2q}\\), calculations:

$$ \\dot{V}_\\mathrm{u2q}=a_2\\min{(V_\\mathrm{u,w},A_\\mathrm{e}s_\\mathrm{T})} $$

-The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. +The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. The following mass balance equation is used for the lower zone description:

$$ \\frac{\\mathrm{d}V_\\mathrm{l,w}}{\\mathrm{d}t}=\\dot{V}_\\mathrm{u2l}+a_\\mathrm{L}\\dot{V}_\\mathrm{p}-\\dot{V}_\\mathrm{l2b}-a_\\mathrm{L}\\dot{V}_\\mathrm{e} $$

-The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) -and \\(\\dot{V}_\\mathrm{e}\\) are the precipitation and the potential evapotranspiration flows, respectively. aL -is the fractional area covered by lakes. \\(\\dot{V}_\\mathrm{l2b}\\) is the base runoff from the lower zone that can be +The water volume in the lower zone is denoted as \\(V_\\mathrm{l,w}\\). As mentioned previously, \\(\\dot{V}_\\mathrm{p}\\) +and \\(\\dot{V}_\\mathrm{e}\\) are the precipitation and the potential evapotranspiration flows, respectively. aL +is the fractional area covered by lakes. \\(\\dot{V}_\\mathrm{l2b}\\) is the base runoff from the lower zone that can be found as follows:

@@ -282,38 +282,38 @@ Here, a₃ is the recession constant similar to a₁ and a₂.

-The total runoff from the catchment, \\(\\dot{V}_\\mathrm{tot}\\), is a sum of the base, quick, surface runoffs for each +The total runoff from the catchment, \\(\\dot{V}_\\mathrm{tot}\\), is a sum of the base, quick, surface runoffs for each elevation zones, and is defined as follows:

$$ \\dot{V}_\\mathrm{tot}=\\sum\\limits_{i=1}^n(\\dot{V}_{\\mathrm{l2b},i}+\\dot{V}_{\\mathrm{u2s},i}+\\dot{V}_{\\mathrm{u2q},i}) $$

-Here, the base \\(\\dot{V}_{\\mathrm{l2b},i}\\), quick \\(\\dot{V}_{\\mathrm{u2q},i}\\), and surface -\\(\\dot{V}_{\\mathrm{u2s},i}\\) runoffs are first summed up for each of the n elevation zones and then these sums of +Here, the base \\(\\dot{V}_{\\mathrm{l2b},i}\\), quick \\(\\dot{V}_{\\mathrm{u2q},i}\\), and surface +\\(\\dot{V}_{\\mathrm{u2s},i}\\) runoffs are first summed up for each of the n elevation zones and then these sums of the base, quick and surface runoffs are added together.

Implementation

-This hydrology model is encoded in the OpenHPL library as the RunOff_zones unit where the main -defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector RealOutput +This hydrology model is encoded in the OpenHPL library as the RunOff_zones unit where the main +defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector RealOutput connector as an output from the model that can be connected to, for example, simple reservoir model Reservoir unit.

-In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each -of the elevation zones, the standard Modelica CombiTimeTable source models are used in order to read this +In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each +of the elevation zones, the standard Modelica CombiTimeTable source models are used in order to read this data from the text files.

Parameters

-When the RunOff_zones unit is in use, the user can specify the required geometry parameters for the catchment: -the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation -correction coefficients, field capacity and β parameter in soil moisture routine, threshold level for quick runoff in upper -zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and -recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where +When the RunOff_zones unit is in use, the user can specify the required geometry parameters for the catchment: +the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation +correction coefficients, field capacity and β parameter in soil moisture routine, threshold level for quick runoff in upper +zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and +recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where the data for the CombiTimeTable models are stored.

")); diff --git a/OpenHPL/Waterway/package.mo b/OpenHPL/Waterway/package.mo index 1ac302a4..49b4c08c 100644 --- a/OpenHPL/Waterway/package.mo +++ b/OpenHPL/Waterway/package.mo @@ -5,8 +5,8 @@ package Waterway "Different components of the hydropower system" annotation (Documentation(info="

Waterway Models

-A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race, -penstock, tailrace), surge tanks, and various fittings. This section describes the models for these +A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race, +penstock, tailrace), surge tanks, and various fittings. This section describes the models for these waterway components.

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-LPPL Version 1.3c 2008-05-04 - -Copyright 1999 2002-2008 LaTeX3 Project - Everyone is allowed to distribute verbatim copies of this - license document, but modification of it is not allowed. - - -PREAMBLE -======== - -The LaTeX Project Public License (LPPL) is the primary license under -which the LaTeX kernel and the base LaTeX packages are distributed. - -You may use this license for any work of which you hold the copyright -and which you wish to distribute. 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\PassOptionsToClass{\CurrentOption}{USN-base} -}% - -% --- execution of options --- -\ProcessOptions* %% process the options in calling order - -% --- load other classes -\LoadClass{USN-base} %% we reuse the USN-base class - -% --- useful commands -\newcommand{\mysubject}{Process, Energy and Automation Engineering} - -\newcommand{\USNtitlepage}{% - \subject{\mysubject} - \title{\mytitle} - \subtitle{\normalsize - Thesis submitted to the University of South-Eastern Norway\\ - for the degree of philosophiae doctor~(PhD)} - \author{\myauthor} - \date{} -% --- pdf document settings --- - \hypersetup{% - pdftitle = {\mytitle},% - pdfsubject = {\mysubject},% - pdfauthor = {\myauthor},% - pdfkeywords = {\mykeywords} - }% -\pdfbookmark[0]{\@title}{title} %% set the correct PDF bookmark -\maketitle% -% -\cleardoubleemptypage %% fillpage without page number -% -} diff --git a/OpenHPL/Resources/Documents/UsersGuide_src/USN-base.cls b/OpenHPL/Resources/Documents/UsersGuide_src/USN-base.cls deleted file mode 100644 index 8a0850a8..00000000 --- a/OpenHPL/Resources/Documents/UsersGuide_src/USN-base.cls +++ /dev/null @@ -1,118 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% LaTeX-class for writing theses %% -%% %% -%% (c) Dietmar Winkler (me.dwe.no) %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% ---Identification---- -\NeedsTeXFormat{LaTeX2e} -\ProvidesClass{USN-base}[2018/09/11 Template base class for reports and theses] - -% --- definitions of options --- -% norsk option: -\newif\if@norsk -\@norskfalse -\DeclareOption{norsk}{\@norsktrue} - -% nosummary option: -\newif\if@summary -\@summarytrue -\DeclareOption{nosummary}{\@summaryfalse} - -% All other options are passed on to the book class -\DeclareOption*{% - \typeout{Option \CurrentOption\space is passed to package scrbook!} - \PassOptionsToClass{\CurrentOption}{scrbook} -}% - -% --- execution of options --- -\ProcessOptions* % process the options in calling order -\LoadClass[12pt, openright]{scrbook} -\KOMAoptions{% - cleardoublepage=plain, - parskip=half, - numbers=noendperiod, - appendixprefix=true -} - -% --- package loading --- -\RequirePackage{scrlayer-scrpage} %% needed for the footer setup -\RequirePackage{geometry} %% manual set the page size - \geometry{margin=25mm, includeheadfoot} -\RequirePackage[\if@norsk norsk \else british\fi]{babel} %% adapt to NO or EN -\RequirePackage{amsmath,mathptmx} %% we need lots of math features -\RequirePackage{ifthen} %% provides simple if-then functionality -\RequirePackage{url} %% helps displaying URLs -\RequirePackage{longtable} %% for long tables that might break over pages -\RequirePackage{graphicx} %% needed for inclusion of graphics - \graphicspath{{fig/}} %% this is were the images reside -\RequirePackage[hidelinks]{hyperref} %% generate links in the PDF (but no boxes around them) -\RequirePackage{pdfpages} %% for inclusion of PDF documents -\RequirePackage{framed} %% provides framebox -\RequirePackage[super]{nth} %% Generate English ordinal numbers -\RequirePackage{lastpage} %% to calculate the number of pages -\RequirePackage{fontspec} %% needed to set up custom fonts and lmodern fonts -\RequirePackage{carlito} %% Carlito is the metric-compatible free alternative - %% to Calibri font -\RequirePackage{csquotes} - -% --- set figure and table captions to footnotesize -\setkomafont{caption}{\footnotesize} - -% --- set the fonts of all toc entries to san-serif -% from https://tex.stackexchange.com/questions/360135/koma-change-font-of-toc-section-entries -\newcommand*\tocentryformat[1]{{\sffamily#1}} -\RedeclareSectionCommands - [ - tocentryformat=\tocentryformat, - tocpagenumberformat=\tocentryformat - ] - {section,subsection,subsubsection,paragraph,subparagraph} - -% --- useful commands -\newcommand*{\figref}[1]{\figurename~\ref{#1}} -\newcommand*{\tabref}[1]{\tablename~\ref{#1}} - -% --- title page setup -\newcommand{\USNlogo}{% %% lang dependent logo - \if@norsk% - \includegraphics[height=15mm]{USN_logo}% - \else% - \includegraphics[height=15mm]{USN_logo_en}% - \fi% -} - -\newcommand{\USNtitlehead}{% %% define the USN title head - \begin{minipage}[c]{.5\textwidth}% - \USNlogo% - \end{minipage}% - \begin{minipage}[c]{.5\textwidth}% - \begin{flushright} - {\sffamily\large\href{http://www.usn.no}{www.usn.no}} - \end{flushright} - \end{minipage}% -} -\titlehead{\USNtitlehead} - -\publishers{\textsf{% - \if@norsk% - {\Large Fakultet for teknologi, naturvitenskap og maritime fag} - \else% - {\Large Faculty of Technology, Natural Sciences and Maritime Sciences} - \fi% - \\{\large Campus Porsgrunn}} - }% - -%--- special footer setup -% norsk: -\newpagestyle{sammendrag}{}{ - \cfoot{\begin{center}% - Universitetet i Sørøst-Norge tar ikke ansvar for denne studentrapportens resultater og konklusjoner. - \end{center}} -}% -% english: -\newpagestyle{summary}{}{ - \cfoot{\begin{center}% - The University of South-Eastern Norway accepts no responsibility for the results and conclusions presented in this report. - \end{center}} -}% diff --git a/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.bib b/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.bib deleted file mode 100644 index b498d8a0..00000000 --- a/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.bib +++ /dev/null @@ -1,107 +0,0 @@ -@MastersThesis{Sha:13, - author = {Shafiee, S.}, - title = {{Automatic updating of hydrological models for runoff/inflow forecasting to hydropower system}}, - school = {Telemark University College}, - year = {2013}, - address = {Porsgrunn, Norway}, -} - -@MastersThesis{Sha:11, - author = {Behzad R. Sharefi}, - title = {{Modeling for Control of Hydropower Systems}}, - school = {Telemark University College, Porsgrunn, Norway}, - year = {2011}, -} - -@TechReport{Sha:15, - author = {Roshan Sharma}, - title = {Second order scheme for open channel flow}, - institution = {Porsgrunn: Telemark University College}, - year = {2015}, - url = {http://hdl.handle.net/11250/2438453}, -} - -@Inproceedings{Vyt:17, - author = {L. Vytvytskyi and B. Lie}, - title = {Comparison of elastic vs. inelastic penstock model using {OpenModelica}}, - booktitle = {Proceedings of the 58th Conference on Simulation and Modelling (SIMS 58) Reykjavik, Iceland, September 25th--27th, 2017}, - number = {138}, - pages = {20-28}, - publisher = {Link\"{o}ping University Electronic Press, Link\"{o}pings Universitet}, - year = {2017}, - doi = {10.3384/ecp1713820} -} - -@Inproceedings{Vyt:18s, - author = {L. Vytvytskyi and B. Lie}, - title = {Linearization for {Analysis} of a {Hydropower} {Model} using {Python} -{API} for {OpenModelica}}, - booktitle = {Proceedings of the 59th Conference on Simulation and Modelling (SIMS 59) Oslo, Norway, September 26th--28th, 2018}, - year = {2018} -} - -@Inproceedings{Val:17, - author = {V. Splavska and L. Vytvytskyi and B. Lie}, - title = {Hydropower {Systems}: {Comparison} of {Mechanistic} and {Table} {Look-up} {Turbine} {Models}}, - booktitle = {Proceedings of the 58th Conference on Simulation and Modelling (SIMS 58) Reykjavik, Iceland, September 25th--27th, 2017}, - number = {138}, - pages = {368-373}, - publisher = {Link\"{o}ping University Electronic Press, Link\"{o}pings Universitet}, - year = {2017}, - doi = {10.3384/ecp17138368} -} - -@Article{Vyt:18, - author = {L. Vytvytskyi and B. Lie}, - title = {Mechanistic model for {Francis} turbines in {OpenModelica}}, - journal = {IFAC-PapersOnLine}, - year = {2018}, - volume = {51}, - number = {2}, - pages = {103 - 108}, - doi = {10.1016/j.ifacol.2018.03.018}, -} - -@article{Vyt:19a, -title = {{Combining Measurements with Models for Superior Information in Hydropower Plants}}, -author = {L. Vytvytskyi and B. Lie}, -journal = {Accepted in Flow Measurement and Instrumentation}, -year = {2019}, -issn = {0142-0615} -} - -@article{Vyt:19b, -title = {{OpenHPL for modelling Trollheim hydropower plant}}, -author = {L. Vytvytskyi and B. Lie}, -journal = {Submitted to Energies}, -year = {2019}, -issn = {1996-1073} -} - -@TechReport{LieL:18, - author = {B. Lie}, - title = {Lecture notes in course {FM1015} {Modelling} of {Dynamic} {Systems}}, - institution = {University of South-Eastern Norway}, - year = {2018}, - address = {Porsgrunn, Norway} -} - -@Article{Vyt:15, - author = {Liubomyr Vytvytskyi and Roshan Sharma and Bernt Lie}, - title = {{Model based control for run-of-river system. Part 1: Model implementation and tuning}}, - journal = {Modeling, Identification and Control: A Norwegian Research Bulletin}, - year = {2015}, - volume = {36}, - number = {4}, - pages = {237--249}, - doi = {10.4173/mic.2015.4.4}, - publisher = {Norwegian Society of Automatic Control}, -} - -@Book{Bre:01, - title = {{Hydraulic Turbines. Design, Erection and Operation}}, - publisher = {Norwegian University of Science and Technology}, - year = {2001}, - author = {Hermod Brekke}, - address = {Trondheim, Norway}, -} diff --git a/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.tex b/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.tex deleted file mode 100644 index 4dbcd1f3..00000000 --- a/OpenHPL/Resources/Documents/UsersGuide_src/UsersGuide.tex +++ /dev/null @@ -1,1157 +0,0 @@ -%% sample template file for a PhD Thesis -%% The default is with two sided setup: -\documentclass[% -% oneside % uncomment for onesided layout -]{USN-PhD} - -% --- Bibliography setup --- -%%% default is the "ieee" style -\usepackage[style=ieee, sorting=none]{biblatex} -%%% If you want to use "author-year" style -%%% where `\cite{Foo2011}` generates "Foo et al. (2011)" -%%% and `\parentcite{Foo2011}` generates "(Foo et al. 2011)" -%%% then comment the line above and use -%\usepackage[style=authoryear]{biblatex} -%%% or -%%% if you want to use "alphabetic" style then use -%%% where `cite[Foo2011]` generates "[Foo11]" -%%% then comment the line above and use -%\usepackage[style=alphabetic]{biblatex} -%%% instead. -%% load the bib file: -\addbibresource{UsersGuide.bib} - -\usepackage{listings} -\input{listings-modelica.cfg} - -\title{User's guide for the Open Hydropower Library (OpenHPL)} -\author{Liubomyr Vytvytskyi (original version 1.0.0)\\ - Porsgrunn, \nth{6} September 2019} -\date{Last updated: \today\\ by TMCC/USN } - -\begin{document} - -%% Create title page with the parameters given in the preamble above -\maketitle - - - -\tableofcontents -%\addcontentsline{toc}{chapter}{\contentsname} - -\chapter{Introduction} - -\emph{OpenHPL} is an open-source hydropower library that consists of hydropower unit models and is encoded in Modelica. Modelica is a multi-domain as well as a component-oriented modelling language that is suitable for complex system modelling. In order to develop the library, OpenModelica has been used as an open-source Modelica-based modelling and simulation environment. - -This hydropower library, \emph{OpenHPL}, provides the capability for the modelling of hydropower systems of different complexity. The library includes the following units: -\begin{enumerate} -\item Various waterway units are modelled based on the mass and momentum balances, i.e., reservoirs, conduits, surge tank, fittings. A modern method for solving more detailed models (PDEs) is implemented in the library, and enables the modelling of the waterway with elastic walls and compressible water as well as open channel. -\item A hydrology model has been implemented and makes it possible to simulate the water inflow to the reservoirs. -\item Mechanistic models, as well as simple look-up table turbine models are implemented for the Francis and Pelton turbine types. The Francis turbine model also includes a turbine design algorithm that gives all of the needed parameters for the model, based on the turbine's nominal operating values. -\item The capability for multiphysics connections and work with other libraries is ensured, e.g., connecting with the Open-Instance Power System Library \emph{OpenIPSL} makes it possible to model the electrical part for the hydropower system. -\end{enumerate} - -A detailed description of each hydropower unit and their uses are presented below in this user guide. - -\chapter{Installation} - -\emph{OpenHPL} can be opened either in open-source OpenModelica\footnote{\url{https://openmodelica.org}} or commercial Dymola\footnote{\url{https://www.3ds.com/products-services/catia/products/dymola}} modelling and simulation environments, which are based on the Modelica language. Here, OpenModelica is emphasized due to free availability. To install OpenModelica, follow the instructions at \url{https://openmodelica.org/download/download-windows} for Windows users, or find the installation instruction for other operating systems at \url{https://openmodelica.org} in ``Download'' tab. Some tutorials exist for Modelica at \url{http://book.xogeny.com}, and for OpenModelica at \url{https://goo.gl/76274H}. - -The \emph{OpenHPL} can be found at \url{https://openhpl.opensimhub.org}. To install this library, follow the instructions at the project homepage. - -In addition, Modelica models in OpenModelica can be simulated within a scripting language (Python\footnote{\url{https://www.python.org}} via the OMPython API\footnote{\url{https://www.openmodelica.org/doc/OpenModelicaUsersGuide/latest/ompython.html}}, Julia\footnote{\url{https://julialang.org}} via the OMJulia API\footnote{\url{https://openmodelica.org/doc/OpenModelicaUsersGuide/latest/omjulia.html}}) and further analysed using the analysis tools in the scripting language. The installation instructions for both these APIs can be found in the links provided in the footnotes for each API. - -\chapter{OpenHPL elements} - -An overview of each element of the hydropower library \emph{OpenHPL} is provided in this section. A screenshot of \emph{OpenHPL} in OpenModelica is shown in Figure~\ref{fig:Library}. - -\begin{figure}[!ht] - \centering - \includegraphics[width=0.7\textwidth]{Library} - \caption{Screen shot of OpenModelica with the hydropower library.} - \label{fig:Library} -\end{figure} - -The library is divided into various packages: -\begin{description} -\item[\texttt{Copyright}] A documentation class that provides a reference to the license for this library. -\item[\texttt{UsersGuide}] A documentation class that provides the user's guide of this library. -\item[\texttt{Data}] A record that determines the common data set for this library. It is possible to insert this class into models and use the common data set for the whole model. - \item[\texttt{Examples}] A package that provides various examples of using the library for hydropower system as well as examples of using \emph{OpenHPL} together with power system library --- \emph{OpenIPSL}. - \item[\texttt{Waterway}] A package that consists of various unit models for the waterway of the hydropower system, such as reservoirs, conduits, surge tank, pipe fittings, etc. - \item[\texttt{ElectroMech}] A package that provides the electro-mechanical components of the hydropower system and consists of two main sub-packages: - \begin{description} - \item[\texttt{Turbines}] with various turbine unit models - \item[\texttt{Generators}] with simplified models of a generator - \end{description} - \item[\texttt{Controllers}] A package that holds a simple model for a governor of the hydropower system. - \item[\texttt{Interfaces}] A package of gives connector interfaces for the library components. - \item[\texttt{Functions}] A package of functions that consists of three sub-packages: - \begin{itemize} - \item[\texttt{Fitting}] Functions for calculation of pressure drop for various pipe fittings. - \item[\texttt{DarcyFriction}] Functions to calculate the friction term in the pipe. - \item[\texttt{KP07}] Functions for PDEs using Kurganov-Petrova (KP) scheme. - \end{itemize} - \item[\texttt{Icons}] Package of icons used in the library. - \item[\texttt{Types}] Package of types used in the library. - \item[\texttt{Tests}] Package of various testing models. Not guaranteed to work and meant for development only. - \end{description} -Below, a detailed description of each unit model of the \emph{OpenHPL} is provided. - -\section{Interfaces} - -First, a detailed description of the interface connectors is provided here. In the \emph{OpenHPL}, two types of connectors are typically used.The first type is the standard Modelica real input/output connector, the other type is a set of connectors that represent the water flow and are modelled similar to the connection in an electrical circuit with voltage and current, or similar to the idea of potential and flow in Bond Graph models. The water flow connector which is called \emph{Contact} in the library, contains information about the pressure in the connector and mass flow rate that flows through the connector. An example of a Modelica code for defining the \emph{Contact} connector looks as follows: - -\begin{lstlisting}[language = modelica] -connector Contact "Water flow connector" - Modelica.SIunits.Pressure p "Contact pressure"; - flow Modelica.SIunits.MassFlowRate mdot "Mass flow rate through the contact"; - // Creating an icon for connector - annotation (Icon(graphics={ Ellipse(extent={{-100,-100},{100,100}}, lineColor = {28, 108, 200}, fillColor = {0, 128, 255}, fillPattern = FillPattern.Solid)})); -end Contact; -\end{lstlisting} - -In addition, some extensions of this water flow connector are developed for the better use in the library. These extensions are listed hereby. -\begin{itemize} - \item \emph{TwoContact} is an extension from the \emph{Contact} model which provides a model of two connectors of inlet and outlet contacts. A Modelica code for this model looks as follows: - \begin{lstlisting}[language = modelica] - partial model TwoContact "Model of two connectors" - // Specifying connectors and their placement in diagram - Contact i "Inlet contact" annotation(Placement(transformation(extent={{-110,-10},{-90,10}}))); - Contact o "Outlet contact" annotation(Placement(transformation(extent={{90,-10},{110,10}}))); - end TwoContact; - \end{lstlisting} - \item \emph{ContactPort} is an extension from the \emph{TwoContact} model which also provides information about a mass flow rate between these two connectors. The mass flow rate that flows through the inlet connector is equal to the mass flow through the outlet connector. This model is used for the pipe modelling. A Modelica code for this \emph{ContactPort} model looks as follows: - \begin{lstlisting}[language = modelica] - partial model ContactPort "Model of two connectors with mass flow rate" - Modelica.SIunits.MassFlowRate mdot "Mass flow rate"; - extends TwoContact; - equation - 0 = i.mdot + o.mdot; - mdot = i.mdot; - end ContactPort; - \end{lstlisting} - \item \emph{ContactNode} is an extension from the \emph{TwoContact} model and provides a node pressure that is equal to the pressures from these two connectors. This model also defines the mass flow rate that is the sum of the mass flow rates through the inlet and outlet connectors. This model is used for the surge tank modelling. A Modelica code for this \emph{ContactNode} model looks as follows: - \begin{lstlisting}[language = modelica] - partial model ContactNode "Model of two connectors and node pressure" - Modelica.SIunits.Pressure p_n "Node pressure"; - Modelica.SIunits.MassFlowRate mdot "Mass flow rate"; - extends TwoContact; - equation - p_n = i.p; - i.p = o.p; - mdot = i.mdot + o.mdot; - end ContactNode; - \end{lstlisting} - \item \emph{TurbineContacts} is an extension from \emph{ContactPort} model and provides the real input and output connectors, additionally. This model is used for turbine modelling. A Modelica code for this \emph{TurbineContacts} model looks as follows: - \begin{lstlisting}[language = modelica] - partial model TurbineContacts "Model of turbine connectors" - extends ContactPort; - // Specifying additional connectors and their placement in diagram - input Modelica.Blocks.Interfaces.RealInput u_t "[Guide vane|nozzle] opening of the turbine" annotation (Placement(transformation(extent = {{-20, -20}, {20, 20}}, rotation = -90, origin={0,120}))); - Modelica.Blocks.Interfaces.RealOutput P_out "Mechanical Output power" annotation (Placement(transformation(origin={0,-110}, extent={{-10,-10},{10,10}}, rotation = 270))); - end TurbineContacts; - \end{lstlisting} -\end{itemize} - -\section{Functions} - -Here, a detailed description of the functions and their used algorithms in the library, are presented. - -\subsection{Friction term} - -First, the functions for defining the friction force in the waterway are described. More details can be found in Bernt Lie's Lecture notes, \cite{LieL:18}. - -The friction force $F_\mathrm{f}$ is directed in the opposite direction of the velocity $v$ (the linear velocity average across the cross-section of the pipe) of the fluid, \cite{LieL:18}. A common expression for friction force in the filled pipes is the following: - -\begin{equation}\label{eq:eq1} - F_\mathrm{f}=-\frac{1}{8}\pi\rho LDf_\mathrm{D}v|v| -\end{equation} -Here, $L$ and $D$ are related to the pipe width and diameter, respectively. $f_\mathrm{D}$ is a Darcy friction factor that is a function of Reynolds number $N_\mathrm{Re}$, with the roughness ratio $\frac{\epsilon}{D}$ as a parameter, see Figure~\ref{fig:fig2}. - -In Figure~\ref{fig:fig2}, the turbulent region ($N_\mathrm{Re} > 2.3\cdot10^3$) is a flow regime where the velocity across the pipe has a stochastic nature, and where the velocity $v$ is relatively uniform across the pipe when we average the velocity over some short period of time. The laminar region ($N_\mathrm{Re} < 2.1\cdot10^3$) is a flow regime with a regular velocity v which varies as a parabola with the radius of the pipe, with zero velocity at the pipe wall and maximal velocity at the centre of the pipe. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.8\textwidth]{fig/darcyf} - \caption{Darcy friction factor as a function of the Reynolds number.} - \label{fig:fig2} -\end{figure} - -Darcy friction factor varies with the roughness of the pipe surface, specified by roughness height $\epsilon$. For laminar flow in a cylindrical pipe ($N_\mathrm{Re} < 2.1\cdot10^3$), the Darcy friction factor $f_\mathrm{D}$ can be found using the following expression: -\begin{equation}\label{eq:eq2} -f_\mathrm{D}=\frac{64}{N_\mathrm{Re}} -\end{equation} -Here, the Reynolds number is found as follows: $N_\mathrm{Re}=\frac{\rho|v|D}{\mu}$, where $\mu$ is the the fluid viscosity. - -For turbulent flow ($N_\mathrm{Re} > 2.3\cdot10^3$), it is common to rewrite the expression for the Darcy friction factor as -\begin{equation}\label{eq:eq3} -f_\mathrm{D}=\frac{1}{\left(2\log_{10} \left(\frac{\epsilon}{3.7D} + \frac{5.74}{N_\mathrm{Re}^{0.9}}\right)\right)^ 2} -\end{equation} -In order to define the Darcy friction factor in a region between laminar and turbulent flow regimes, a possibility is to use some interpolation expressions between the laminar value at $N_\mathrm{Re}=2100$ and the turbulent value at $N_\mathrm{Re}= 2300$, e.g., a cubic polynomial fitting with the same slope as laminar friction at $N_\mathrm{Re}=2100$ and turbulent friction at $N_\mathrm{Re}=2300$, \cite{LieL:18}. To achieve the global differentiability, with $p(N_\mathrm{Re})=aN_\mathrm{Re}^3+bN_\mathrm{Re}^2+cN_\mathrm{Re}+d$, thus: -\begin{equation} -\begin{array}{c} -p(N_\mathrm{Re}=2100)=f_\mathrm{D}^\mathrm{l}(N_\mathrm{Re}=2100)\\ -p(N_\mathrm{Re}=2300)=f_\mathrm{D}^\mathrm{t}(N_\mathrm{Re}=2300)\\ -\left.\frac{dp}{dN_\mathrm{Re}}\right\rvert_{N_\mathrm{Re}=2100}=\left.\frac{df_\mathrm{D}^\mathrm{l}}{dN_\mathrm{Re}}\right\rvert_{N_\mathrm{Re}=2100}\\ -\left.\frac{dp}{dN_\mathrm{Re}}\right\rvert_{N_\mathrm{Re}=2300}=\left.\frac{\partial f_\mathrm{D}^\mathrm{t}}{\partial N_\mathrm{Re}}\right\rvert_{\frac{\epsilon}{D},N_\mathrm{Re}=2300} -\end{array} -\end{equation} -Hence, the constants $a$, $b$, $c$ and $d$ can be found as follows: -\begin{equation}\label{eq:eq4} -\begin{bmatrix}a\\b\\c\\d \end{bmatrix}= -\begin{bmatrix}2100^3&2100^2 & 2100& 1\\ 2300^3 & 2300^2 & 2300 & 1\\ 3\cdot2100^2 & 2\cdot2100& 1 & 0\\ 3\cdot2300^2 & 2\cdot2300 &1 & 0\end{bmatrix}^{-1} -\begin{bmatrix} \frac{64}{2100} \\ \frac{1}{\left(2\log_{10}\left(\frac{\epsilon}{3.7D}+\frac{5.74}{2300^ {0.9}}\right)\right)^2} \\ -\frac{64}{2100^ 2} \\ -0.25\frac{0.316}{2300^{1.25}} \end{bmatrix} -\end{equation} -Based on the presented equation for calculation of the friction force in the waterway, two functions are encoded in this class \emph{DarcyFriction}. The first function is for defining the Darcy friction factor and called \emph{fDarcy}. This function has the following inputs: the Reynolds number $N_\mathrm{Re}$, the pipe diameter $D$, and the pipe roughness height $\epsilon$. Then, based on Eq.~\ref{eq:eq2} for the laminar flow (Reynolds number < 2100), Eq.~\ref{eq:eq3} for turbulent flow (Reynolds number > 2300), and Eq.~\ref{eq:eq4} for transitional zone (2100 < Reynolds number < 2300); the \emph{fDarcy} function provides value for the Darcy friction factor $f_\mathrm{D}$. - -Another function, \emph{Friction} is for defining the actual friction force and is based on a response from the \emph{fDarcy} function. This function has the following inputs: the linear velocity $v$, the pipe length and diameter $L$ and $D$, the liquid density and viscosity $\rho$ and $\mu$, and the pipe roughness height $\epsilon$. As an output, this function provides a value for the friction force $F_\mathrm{f}$ based on Eq.~\ref{eq:eq1}. An example of a Modelica code for defining the \emph{Friction} function looks as follows: - -\begin{lstlisting}[language = modelica] -function Friction "Friction force with Darcy friction factor" - import Modelica.Constants.pi; - input Modelica.SIunits.Velocity v "Flow velocity"; - input Modelica.SIunits.Diameter D "Pipe diameter"; - input Modelica.SIunits.Length L "Pipe length"; - input Modelica.SIunits.Density rho "Density"; - input Modelica.SIunits.DynamicViscosity mu "Dynamic viscosity of water"; - input Modelica.SIunits.Height eps "Pipe roughness height"; - // Function output (response) value - output Modelica.SIunits.Force F_f "Friction force"; -// Local (protected) quantities -protected - Modelica.SIunits.ReynoldsNumber N_Re "Reynolds number"; - Real f "friction factor"; -algorithm - N_Re := rho * abs(v) * D / mu; - f := fDarcy(N_Re, D, eps); - F_f := 0.5 * pi * f * rho * L * v * abs(v) * D / 4; -end Friction; -\end{lstlisting} - -\subsection{KP scheme} - -Here, functions for solving PDEs in Modelica are described. First, the overview of the KP scheme is presented. More details about this scheme can be found in Roshan Sharma work, \cite{Sha:15}, and other works, \cite{Vyt:15,Vyt:17}. - -This is a well-balanced second-order scheme, which is a Reimann problem solver free scheme (central scheme) while at the same time, it takes advantage of the upwind scheme by utilizing the local, one side speed of propagation (given by the eigenvalues of the Jacobian matrix) during the calculation of the flux at the cell interfaces, \cite{Sha:15}. - -The central-upwind numerical scheme is presented for the one-dimensional case. -\begin{equation} -\frac{\partial U\left(x,t\right)}{\partial t}+\frac{\partial F\left(x,t,U\right)}{\partial x}=S\left(x,t,U\right) -\end{equation} -Here, $U\left(x,t\right)$ is the state vector, where states are the functions of position $x$ and time $t$. $F\left(x,t,U\right)$ is the vector of fluxes and $S\left(x,t,U\right)$ is the source terms. - -In order to solve this PDE, it should be first discretized by finite-volume methods. With the finite volume method, we divide the grid into small control volumes/cells and then apply the conservation laws. This control volume/cell with notations are shown in Figure~\ref{fig:fig2_1}. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.7\textwidth]{fig/kp} - \caption{Control volume/cell, \cite{Sha:15}.} - \label{fig:fig2_1} -\end{figure} - -Hence, the semi-discrete (time-dependent ODEs) central-upwind scheme can be then written in the following form: -\begin{equation}\label{eq:eq7} -\frac{d}{dt}\bar{U}_j\left(t\right)=-\frac{H_{j+\frac{1}{2}}\left(t\right)-H_{j-\frac{1}{2}}\left(t\right)}{\Delta x}+\bar{S}_j\left(t\right) -\end{equation} -Here, $\bar{U}_j$ are the cell centre average values, while $H_{j\pm\frac{1}{2}}\left(t\right)$ are the central upwind numerical fluxes at the cell interfaces and are given by: -\begin{equation}\label{eq:eq8} -\begin{array}{c} -H_{j+\frac{1}{2}}\left(t\right)=\frac{a^+_{j+\frac{1}{2}}F\left(U^-_{j+\frac{1}{2}}\right)-a^-_{j+\frac{1}{2}}F\left(U^+_{j+\frac{1}{2}}\right)}{a^+_{j+\frac{1}{2}}-a^-_{j+\frac{1}{2}}}+\frac{a^+_{j+\frac{1}{2}}a^-_{j+\frac{1}{2}}}{a^+_{j+\frac{1}{2}}-a^-_{j+\frac{1}{2}}}\left[U^+_{j+\frac{1}{2}}-U^-_{j+\frac{1}{2}}\right]\\ -H_{j-\frac{1}{2}}\left(t\right)=\frac{a^+_{j-\frac{1}{2}}F\left(U^-_{j-\frac{1}{2}}\right)-a^-_{j-\frac{1}{2}}F\left(U^+_{j-\frac{1}{2}}\right)}{a^+_{j-\frac{1}{2}}-a^-_{j-\frac{1}{2}}}+\frac{a^+_{j-\frac{1}{2}}a^-_{j-\frac{1}{2}}}{a^+_{j-\frac{1}{2}}-a^-_{j-\frac{1}{2}}}\left[U^+_{j-\frac{1}{2}}-U^-_{j-\frac{1}{2}}\right] -\end{array} -\end{equation} -Here, $a^\pm_{j\pm\frac{1}{2}}$ are the one-sided local speeds of propagation. - -For calculating the numerical fluxes $H_{j\pm\frac{1}{2}}\left(t\right)$, the values of states at the cell interfaces $U^\pm_{j\pm\frac{1}{2}}$ are needed. These values can be calculated as the endpoints of a piecewise linearly reconstructed function: -\begin{equation}\label{eq:eq9} -\begin{array}{c} -U^-_{j+\frac{1}{2}}=\bar{U}_j+\frac{\Delta x}{2}s_j\\ -U^+_{j+\frac{1}{2}}=\bar{U}_{j+1}-\frac{\Delta x}{2}s_{j+1}\\ -U^-_{j-\frac{1}{2}}=\bar{U}_{j-1}+\frac{\Delta x}{2}s_{j-1}\\ -U^+_{j-\frac{1}{2}}=\bar{U}_j-\frac{\Delta x}{2}s_j -\end{array} -\end{equation} -The slope $s_j$ of the reconstructed function in each cell is computed using a limiter function to obtain a non-oscillatory nature of the reconstruction. The KP scheme utilizes the generalized \emph{minmod} limiter as: -\begin{equation}\label{eq:eq10} -\begin{array}{c} -s_j^-=\theta\frac{\bar{U}_j-\bar{U}_{j-1}}{\Delta x},s_j^c=\frac{\bar{U}_{j+1}-\bar{U}_{j-1}}{2\Delta x},s_j^+=\theta\frac{\bar{U}_{j+1}-\bar{U}_{j}}{\Delta x}\\ -s_j=minmod\left(s_j^-,s_j^c,s_j^+\right)=\begin{cases} - \min\left(s_j^-,s_j^c,s_j^+\right), & \text{if }s_j^->0\text{ \& }s_j^c>0\text{ \& }s_j^+>0 \\ - \max\left(s_j^-,s_j^c,s_j^+\right), & \text{if }s_j^-<0\text{ \& }s_j^c<0\text{ \& }s_j^+<0 \\ - 0, & \text{otherwise} - \end{cases} -\end{array} -\end{equation} -The parameter $\theta\in[1,2]$ is used to control or tune the amount of numerical dissipation or numerical viscosity present in the resulting scheme. The value of $\theta = 1.3$ is an acceptable starting point in general. - -It can be observed that for a given $j^\mathrm{th}$ cell, the information from the neighbouring cells $j-1$ and $j-2$ (to the left) and $j+1$ and $j+2$ (to the right) are required for calculating the flux integrals. This will pose difficulties at the cells on the left and right boundaries. While evaluating the flux integrals near the left boundary cells ($j=1$ and $j=2$) and near the right boundary cells ($j=N-1$ and $j=N$; $N$ is the number of cells in the grid), imaginary cells that lie outside the physical boundary should also be taken into consideration, see Figure~\ref{fig:fig2_2}. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.7\textwidth]{fig/ghosts} - \caption{Ghost cells at the grid boundaries, \cite{Sha:15}.} - \label{fig:fig2_2} -\end{figure} - -These imaginary cells denoted by $j=0$ and $j=-1$ on the left, and $j=N+1$ and $j=N+2$ on the right are called the ghost cells. The average value of the conserved variables at the centre of these ghost cells depends on the nature of the physical boundary taken into account. These ghost cells can be defined in the following way: -\begin{equation}\label{eq:eq11} -\begin{array}{c} -\bar{U}_{j=0}=2\bar{U}_{j=1}-\bar{U}_{j=2}\\ -\bar{U}_{j=-1}=2\bar{U}_{j=0}-\bar{U}_{j=1}\\ -\bar{U}_{j=N+1}=2\bar{U}_{j=N}-\bar{U}_{j=N-1}\\ -\bar{U}_{j=N+2}=2\bar{U}_{j=N+1}-\bar{U}_{j=N} -\end{array} -\end{equation} -The one-sided local speeds of propagation can be estimated as the largest and the smallest eigenvalues $\lambda_{1,2}$ of the Jacobian $\frac{\partial F}{\partial U}$ of the system as: -\begin{equation}\label{eq:eq12} -\begin{array}{c} -a^+_{j\pm\frac{1}{2}}=\max\left(\lambda^+_{1,j\pm\frac{1}{2}},\lambda^-_{1,j\pm\frac{1}{2}},0\right)\\ -a^-_{j\pm\frac{1}{2}}=\max\left(\lambda^+_{2,j\pm\frac{1}{2}},\lambda^-_{2,j\pm\frac{1}{2}},0\right) -\end{array} -\end{equation} -Lastly, the source term $\bar{S}_j\left(t\right)$ has to be appropriately discretized to ensure the well-balanced method. This can be written as: -\begin{equation} -\bar{S}_j\left(t\right)=S\left(\bar{U}_j\right) -\end{equation} -Hence, the separate functions for each of these elements defining in Eqs.~\ref{eq:eq8}-\ref{eq:eq12} are modelled and encoded in \emph{OpenHPL}. These functions are assembled in the \emph{KPfunctions} folder in class \emph{KP07}, and look as follows: -\begin{itemize} -\item \emph{GhostCells} function provides values of the conserved variables at the centre of the ghost cells, using Eq.~\ref{eq:eq11}. As an input piece of information this function receives the number of cells $N$, and the state vector with the cell centre average values $\bar{U}_{j=1..N}$. Then, the \emph{GhostCells} function returns a state vector with the cell centre average values for all (including ghost) cells $\bar{U}_{j=-1..N+2}$. -\item \emph{SlopeVectorS} function returns the slope vector $s_{j=0..N+1}$ of the reconstructed function for each cell, using Eq.~\ref{eq:eq10}. This function has the following inputs: the number of cells $N$, parameters $\theta$ and $\Delta x$, and the state vector with the cell centre average values $\bar{U}_{j=-1..N+2}$. -\item Then, function \emph{PieceWiseU} is created to define the values of states $U^\pm_{j\pm\frac{1}{2}}$ as the endpoints of a piecewise linearly reconstructed function from Eq.~\ref{eq:eq9} using the two previous functions. This function has the following inputs: the number of cells $N$, parameters $\theta$ and $\Delta x$, condition and values for the boundaries, and the state vector with the cell centre average values $\bar{U}_{j=1..N}$. -\item Another function as the \emph{SpeedPropagationApipe} provides the one-sided local speeds of propagation $a^\pm_{j\pm\frac{1}{2}}$, using Eq.~\ref{eq:eq12}. As an input information this function receives the number of cells $N$ and vectors of eigenvalues $\lambda^\pm_{1,j\pm\frac{1}{2}}$ and $\lambda^\pm_{2,j\pm\frac{1}{2}}$ of the Jacobian of the system. -\item The last function \emph{FluxesH} in the \emph{KPfunctions} folder, defines the central upwind numerical fluxes at the cell interfaces $H_{j\pm\frac{1}{2}}$, using Eq.~\ref{eq:eq8}. This function has the following inputs: the number of cells $N$, the values of states at the cell interfaces $U^\pm_{j\pm\frac{1}{2}}$, the one-sided local speeds of propagation $a^\pm_{j\pm\frac{1}{2}}$, and the vector of fluxes $F\left(U^\pm_{j\pm\frac{1}{2}}\right)$. -\end{itemize} - -Then, the primary function for the KP scheme \emph{KPmethod} is created which uses the last three presented functions to define the right-hand side of Eq.~\ref{eq:eq7} (discretization solution of PDE). As an input piece of information, this function receives the number of cells $N$, parameters $\theta$ and $\Delta x$, the state vector with the cell centre average values $\bar{U}_{j=1..N}$, vectors of eigenvalues $\lambda^\pm_{1,j\pm\frac{1}{2}}$ and $\lambda^\pm_{2,j\pm\frac{1}{2}}$ of the Jacobian of the system, the vector of fluxes $F\left(U^\pm_{j\pm\frac{1}{2}}\right)$ and source terms $\bar{S}_j$, and condition and values for the boundaries. It should be noted that the \emph{KPmethod} function is encoded for the cases of systems with two states (state vector $\bar{U}_{j=1..N}$ consists of two states) that is common for the detailed model of the pipe or open channel model (see those unit models below). The boundaries are specified with the inlet and outlet state values: either inlet (or: outlet) values for both states, or inlet and outlet values for one of the states. - -In the case with the use of the KP scheme for the open channel model \cite{Sha:15,Vyt:15}, one of the states should be processed through the scheme with some additional vector that is ensured in this \emph{KPmethod} function ($B_{j=-1..N+2}$ vector is also input to the functions \emph{KPmethod} and \emph{PieceWiseU}). - -It should be noted that due to the issues of the simulation speed, all of the presented functions in class \emph{KP07} are implemented as the \emph{model} type in OpenModelica instead of the \emph{function} type. An example of a Modelica code for defining the \emph{KPmethod} function looks as follows: - -\begin{lstlisting}[language = modelica] -model KPmethod - extends Icons.Method; - parameter Integer N "number of segments"; - input Real U[2 * N] "state vector", - dx "length step", - theta = 1.3 "parameter for slope limiter", - S_[2 * N] "source term vector S", - F_[2 * N, 4] "vector F", - lam1[N, 4] "matrix of eigenvalues '+'", - lam2[N, 4] "matrix of eigenvalues '-'", - B[N + 4] = zeros(N + 4) "additional for open channel", - boundary[2, 2] "values for boundary conditions"; - input Boolean boundaryCon[2, 2] "boundary conditions consideration"; - output Real diff_eq[2 * N] "right hand side for KP solution"; - Real U_[8, N] "matrix with boundary state values. Can be extracted"; -protected - Real H_[2 * N, 2] "matrix of fluxes", - A_speed[N, 4] "matrix of one-side local speeds propagation"; -public - KPfunctions.PieceWiseU wiseU(N = N, theta = theta, U = U, B = B, dx = dx, boun = boundary, bounCon = boundaryCon) "use function for defining the piece wise linear reconstruction of vector U"; - KPfunctions.SpeedPropagationApipe speedA(N = N, lamda1 = lam1, lamda2 = lam2) "use function for defining the one-side local speeds propagation"; - KPfunctions.FluxesH fluxesH(N = N, U_ = U_, A_ = A_speed, F_ = F_) "use function for defining the central upwind numerical fluxes"; -equation - ///// piece wise linear reconstruction of vector U - U_ = wiseU.U_; - ///// one-side local speeds propagation - A_speed = speedA.A; - ///// central upwind numerical fluxes - H_ = fluxesH.H; - //// right hand side of diff. equation - diff_eq = (-(H_[:, 1] - H_[:, 2]) / dx) + S_; -end KPmethod; -\end{lstlisting} - -Examples of using the KP scheme for solving PDEs are also provided in the class \emph{KP07} in the \emph{TestKPpde} folder. More information about using the \emph{KPmethod} function is presented below in the waterway modelling section for the \emph{PenstockKP} and \emph{OpenChannel} units. - -\subsection{Fitting} - -The functions for defining the pressure drop in various pipe fittings are described here. More details can be found in Bernt Lie's Lecture notes, \cite{LieL:18}. - -Due to different constrictions in the pipes, it is of interest to define losses in these fittings. This can be done based on friction pressure drop which can be calculated as: -\begin{equation}\label{eq:eq14} -\Delta p_\mathrm{f}=\frac{1}{2}\phi\rho v|v| -\end{equation} -Here, the dimensionless factor $\phi$ is $\phi=f_\mathrm{D}\frac{L}{D}$ for a long, straight pipe. Here, $\phi$ will be the generalized friction factor. In this case, it is possible to write pressure drop for different constrictions. Some cases of various fittings are shown in Figures~\ref{fig:fig3}-\ref{fig:fig6}. Equations for the dimensionless factor $\phi$ are also demonstrated in these figures for the presented fittings. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.8\textwidth]{fig/Square_fi} - \caption{Square reduction/expansion fittings, \cite{LieL:18}.} - \label{fig:fig3} -\end{figure} -\begin{figure}[!ht] - \centering - \includegraphics[width=0.8\textwidth]{fig/Tapered_fit} - \caption{Tapered reduction/expansion fittings, \cite{LieL:18}.} - \label{fig:fig4} -\end{figure} -\begin{figure}[!ht] - \centering - \includegraphics[width=0.8\textwidth]{fig/Rounded_fit} - \caption{Rounded reduction/expansion fittings, \cite{LieL:18}.} - \label{fig:fig5} -\end{figure} -\begin{figure}[!ht] - \centering - \includegraphics[width=0.8\textwidth]{fig/Sharp_fit} - \caption{Sharp/Thick orifice fittings, \cite{LieL:18}.} - \label{fig:fig6} -\end{figure} - -Based on the presented equations and figures for the calculation of the dimensionless factor $\phi$ in the various fitting, a set of functions is encoded regarding each specific type of fittings, such as \emph{SquareReduction}, \emph{SquareExpansion}, \emph{TaperedReduction}, \emph{TaperedExpansion}, \emph{RoundedReduction}, \emph{SharpOrifice}, and \emph{ThickOrifice}. All these functions receive the Reynolds number $N_\mathrm{Re}$, diameters of first and second pipes $D_1$ and $D_2$, and the pipe roughness height $\epsilon$. Then, based on the equations from Figures~\ref{fig:fig3}-\ref{fig:fig6}, these functions provide value for the dimensionless factor $\phi$. As an example, a Modelica code for defining the \emph{SquareReduction} function looks as follows: - -\begin{lstlisting}[language = modelica] -function SquareReduction - input Modelica.SIunits.ReynoldsNumber N_Re "Reynolds number"; - input Modelica.SIunits.Height eps "Pipe roughness height"; - input Modelica.SIunits.Diameter D_i, D_o "Pipe diameters"; - output Real phi; -protected - Real f_D "friction factor"; -algorithm - f_D := Functions.DarcyFriction.fDarcy(N_Re, D_1, eps); - if N_Re < 2500 then - phi := (1.2 + 160 / N_Re) * ((D_i / D_o) ^ 4 - 1); - else - phi := (0.6 + 0.48 * f_D) * (D_i / D_o) ^ 2 * ((D_i / D_o) ^ 2 - 1); - end if; -end SquareReduction; -\end{lstlisting} - -Another function, \emph{FittingPhi} also provides the dimensionless factor $\phi$ as an output. This function calls the presented above functions with a specific type of the fitting in order to get value for the factor $\phi$. This function has the following inputs: the linear velocity $v$, the pipe length $L$, diameters of first and second pipes $D_i$ and $D_o$, liquid density and viscosity $\rho$ and $\mu$, the pipe roughness height $\epsilon$. The last input for this function is a variable with the specific type \emph{FittingType} that holds information about the fitting type. - -\section{Waterway} - -A typical structure of the waterway of the hydropower system is shown in Figure~\ref{fig:fig7}. - -\begin{figure}[!ht] - \centering - \includegraphics[width=0.95\textwidth]{fig/Fig_1_scheme} - \caption{Reservoir structure, \cite{LieL:18}.} - \label{fig:fig7} -\end{figure} - -\subsection{Reservoir} - -Figure~\ref{fig:fig7} shows that the water level in the reservoir $H_\mathrm{r}$ is a key quantity, \cite{Val:17}. Similarly to the water tank, a reservoir model can be described by mass and momentum balances as following, \cite{Sha:11}: -\begin{equation} -\begin{array}{c} - H_\mathrm{r}\frac{d\dot{m}_\mathrm{r}}{dt}=\frac{\rho}{A_\mathrm{r}}\dot{V}_\mathrm{r}^2+A_\mathrm{r}\left(p_\mathrm{atm}-p_\mathrm{r}\right)+\rho gH_\mathrm{r}A_\mathrm{r}-F_\mathrm{f,r}\\ - \frac{dm_\mathrm{r}}{dt}=\dot{m}_\mathrm{r} -\end{array} -\end{equation} -Here, $\dot{m}_\mathrm{r}$ is the reservoir mass flow rate that can be found from the reservoir volumetric flow rate $\dot{V}_\mathrm{r}$. $A_\mathrm{r}$ is a square area of the reservoir. $p_\mathrm{atm}$ and $p_\mathrm{r}$ are the atmospheric and the reservoir outlet pressures, respectively. $F_\mathrm{f,r}$ is a friction term that can be found using Darcy friction factor. - -In a simple case, it can be assumed that the level of the reservoir is constant, the reservoir inlet flow equal the outlet flow, and the area of the reservoir is closed to infinity. Then the reservoir can be presented just as an equation for pressure in the inlet/outlet of the reservoir, \cite{Sha:11,Val:17}. -\begin{equation} - p_\mathrm{r}=p_\mathrm{atm}+\rho gH_\mathrm{r} -\end{equation} -Hence, both of these cases are modelled in the \emph{Reservoir} unit in the library. This unit uses the \emph{Contact} connector and can be connected to other waterway units. The \emph{Reservoir} unit can be specified with the following options: -\begin{itemize} - \item The user can choose a simple model of the reservoir, and calculate the outlet pressure depending on the depth of the outlet from the reservoir. - \item The user can also choose a more complicated model, add the inflow to the reservoir and specify the reservoir geometry. - \item Also, it is possible to connect an input signal with the varying water level in the reservoir. -\end{itemize} - -\subsection{Fitting} - -There are various possibilities of the fittings for the pipes with different diameters as well as the existence of orifices in the pipe. In this unit \emph{Fitting}, the pressure drop due to these constrictions is defined using Eq.~\ref{eq:eq14} and function \emph{FittingPhi}. The \emph{Fitting} unit uses the \emph{ContactPort} connector model in order to have inlet and outlet connectors and the possibility to define pressure drop between those connectors. Then, this unit can be connected to the other waterway units. - -When the \emph{Fitting} unit is in use, the user can postulate the specific type of fitting that is of interest and required based on the geometry parameters for this fitting. - -\subsection{Pipe} - -The simple model of the pipe unit \emph{Pipe} gives possibilities for easy modelling of different conduit: intake race, penstock, tailrace, etc. In these waterway units, there are only small pressure variations due to the small slope angle (height difference between inlet and outlet of the component). That is why the model for these units can be simplified by considering incompressibility of the water and the inelasticity of the walls, \cite{Vyt:17,Val:17,Sha:11}. A sketch of the pipe with all needed terms for modelling is shown in Figure~\ref{fig:fig8}. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.6\textwidth]{fig/Fig_2_scheme} - \caption{Model for flow through a pipe.} - \label{fig:fig8} -\end{figure} - -In the case of incompressible water, the mass in the filled pipe is constant, and: -\begin{equation}\label{eq:eq17} -\frac{dm_\mathrm{c}}{dt} = \dot{m}_\mathrm{c,in} - \dot{m}_\mathrm{c,out} = 0 -\end{equation} -Here, the mass of the water in the pipe (conduit) is $m_\mathrm{c}=\rho V_\mathrm{c}=\rho L_\mathrm{c}\overline{A}_\mathrm{c}$, where $\rho$ is the water density, $V_c$ -- the volume of the water in the pipe, $L_\mathrm{c}$ -- the length of the pipe (conduit) and $\overline{A}_\mathrm{c}$ -- the averaged cross-section area of the pipe that are defined from averaged pipe diameter $\overline{D}_\mathrm{c}$. The inlet and outlet mass flow rates are equal with $\dot{m}_\mathrm{c,in}=\rho\dot{V}_\mathrm{c,in}$ and $\dot{m}_\mathrm{c,out}=\rho\dot{V}_\mathrm{c,out}$ respectively, where $\dot{V}_\mathrm{c,in}=\dot{V}_\mathrm{c,out}$ -- the inlet and outlet volumetric flow rates in the pipe. - -The momentum balance for this simplified model can be expressed as: -\begin{equation}\label{eq:eq18} -\frac{dM_\mathrm{c}}{dt} = \dot{M}_\mathrm{c,in} - \dot{M}_\mathrm{c,out} + F_\mathrm{p,c} + F_\mathrm{g,c} + F_\mathrm{f,c} -\end{equation} -Here, the momentum of the water in the pipe is $M_\mathrm{c}=m_\mathrm{c}v_\mathrm{c}$, where $v_\mathrm{c}$ is the average water velocity and can be defined as $v_\mathrm{c}=\dot{V}_\mathrm{c}/\overline{A}_\mathrm{c}$. The inlet and outlet momentum flow rates are $\dot{M}_\mathrm{c,in}=\dot{m}_\mathrm{c,in}v_\mathrm{c,in}$ and $\dot{M}_\mathrm{c,out}=\dot{m}_\mathrm{c,out}v_\mathrm{c,out}$ respectively, where $v_\mathrm{c,in}=\dot{V}_\mathrm{c,in}/A_\mathrm{c,in}$ and $v_\mathrm{c,out}=\dot{V}_\mathrm{c,out}/A_\mathrm{c,out}$ are the velocities in the inlet and outlet of the pipe, respectively; and are equal in a case with constant diameter of the pipe ($A_\mathrm{c,in}=A_\mathrm{c,out}$). $F_\mathrm{p,c}$ -- the pressure force, due to the difference between the inlet and outlet pressures $p_\mathrm{c,1}$ and $p_\mathrm{c,2}$ can be calculated as follows: $F_\mathrm{p,c}=A_\mathrm{c,in}p_\mathrm{c,1}-A_\mathrm{c,out}p_\mathrm{c,2}$. There is also gravity force that is defined as $F_\mathrm{g,c}=m_\mathrm{c}g\cos\theta_\mathrm{c}$, where $g$ -- the gravitational acceleration and $\theta_\mathrm{c}$ -- the angle of the pipe slope that can be defined from the ratio of height difference $H_\mathrm{c}$ and the length $L_\mathrm{c}$ of the pipe. The last term in the momentum balance is friction force which can be calculated as $F_\mathrm{f,c}=-\frac{1}{8}L_\mathrm{c}f_\mathrm{D,c}\pi\rho\overline{D}_\mathrm{c}v_\mathrm{c}|v_\mathrm{c}|$ using the Darcy friction factor $f_\mathrm{D,c}$ for the conduit. - -The main defined variable is the volumetric flow rate. In this \emph{Pipe} unit, the flow rate changes simultaneously in the whole pipe (information about the speed of wave propagation is not included here). Water pressures can be shown just in the boundaries of pipe (inlet and outlet pressure from connectors). This unit uses the \emph{ContactPort} connector model and can be connected to other waterway units. - -When the \emph{Pipe} unit is in use, the user can specify the required geometry parameters for this pipe: length $L_\mathrm{c}$, height difference $H_\mathrm{c}$, inlet and outlet diameters $D_\mathrm{c,i}$ and $D_\mathrm{c,o}$, and pipe roughness height $\epsilon_\mathrm{c}$. In order to define the friction force $F_\mathrm{f,c}$ the \emph{Friction} function is used here. It should be noted that this unit provides possibilities for the modelling of pipes with both positive and negative slopes (positive or negative height difference). This unit can be initialized by the initial value of the flow rate $\dot{V}_\mathrm{c,0}$. Otherwise, user can choose to an option when the simulation starts from steady-state and the OpenModelica handles automatically initial steady-state values (does not work properly in OpenModelica). - -\subsection{Surge Tank} - -The surge shaft/tank will be presented here as a vertical open pipe with constant diameter together with manifold, which connecting conduit, surge volume and penstock, \cite{Sha:11,Val:17}. Surge volume (vertical open pipe) is shown in Figure~\ref{fig:fig9}. -\begin{figure}[!ht] - \centering - \includegraphics[width=0.4\textwidth]{fig/surgepic} - \caption{Model for a vertical open pipe.} - \label{fig:fig9} -\end{figure} - -The model for the surge volume can be described by mass and momentum balances as follows: -\begin{equation} -\begin{array}{c} -\frac{dm_\mathrm{s}}{dt} = \dot{m}_\mathrm{s,in} = \rho \dot{V}_\mathrm{s}\\ -\frac{dm_\mathrm{s}v_\mathrm{s}}{dt} =\dot{m}_\mathrm{s,in}v_\mathrm{s,in}+F_\mathrm{p,s}+F_\mathrm{g,s}+F_\mathrm{f,s} -\end{array} -\end{equation} -Here, the mass of the water in the surge tank is $m_\mathrm{s}=\rho V_\mathrm{s}=\rho l_\mathrm{s}A_\mathrm{s}=\rho A_\mathrm{s}\frac{h_\mathrm{s}}{\cos\theta_\mathrm{s}}$, where $\rho$ is the water density, $V_s$ is the volume of the water in the surge tank, $h_\mathrm{s}$ and $l_\mathrm{s}$ are the height and length of the surge tank filled with water and $A_\mathrm{s}$ is the cross-section area of the surge tank that defined from the vertical pipe diameter $D_\mathrm{s}$. The water velocity $v_\mathrm{s}$ can be defined as $v_\mathrm{s}=\dot{V}_\mathrm{s}/A_\mathrm{s}$. The inlet water velocity $v_\mathrm{s,in}=\dot{V}_\mathrm{s}/A_\mathrm{s}$. $F_\mathrm{p,s}$ is the pressure force, due to the difference between the inlet and outlet pressures $p_\mathrm{s,1}$ and $p_\mathrm{atm}$ and can be calculated as follows: $F_\mathrm{p,s}=A_\mathrm{s}\left(p_\mathrm{s,1}-p_\mathrm{atm}\right)$. There is also gravity force that is defined as $F_\mathrm{g,s}=m_\mathrm{s}g\cos\theta_\mathrm{s}$, where $g$ -- the gravitational acceleration and $\theta_\mathrm{s}$ -- the angle of the slope of the surge tank and can be defined from the ratio of height difference $H_\mathrm{s}$ and length $L_\mathrm{s}$. The last term in the momentum balance is friction force, which can be calculated as $F_\mathrm{f,s}=-\frac{1}{8}l_\mathrm{s}f_\mathrm{D,s}\pi\rho D_\mathrm{s}v_\mathrm{s}|v_\mathrm{s}|$ using Darcy friction factor $f_\mathrm{D,s}$ for the surge tank. - -The manifold is described by the preservation of mass in steady-state; the volumetric flow rate in the intake race $\dot{V}_\mathrm{i}$ equals to the sum of volumetric flow rates from surge volume $\dot{V}_\mathrm{s}$ and penstock $\dot{V}_\mathrm{p}$: $\dot{V}_\mathrm{i}=\dot{V}_\mathrm{p}+\dot{V}_\mathrm{s}$. In addition, the manifold pressure is equal for all three connections. This manifold is already implemented in the \emph{ContactNode} connectors model that is used in this \emph{SurgeTank} unit. Then, this unit can be connected to other waterway units. - -In the \emph{SurgeTank} unit, the user can specify the required geometry parameters for the surge tank (vertical pipe): length $L_\mathrm{s}$, height difference $H_\mathrm{s}$, diameters $D_\mathrm{s}$, pipe roughness height $\epsilon_\mathrm{s}$, and value for the atmospheric pressure $p_\mathrm{atm}$. In order to define the friction force $F_\mathrm{f,s}$ the \emph{Friction} function is used here. This unit can be initialized by the initial values of the flow rate $\dot{V}_\mathrm{s,0}$ and water height $h_\mathrm{s,0}$. Otherwise, the user can decide on an option when the simulation starts from the steady-state and the OpenModelica automatically handles the initial steady-state values (does not work properly in OpenModelica). - -\subsection{Pipe with compressible water and elastic walls} - -Unlike the conduit, the penstock has considerable pressure variation due to a considerable height drop. Thus, to make the model for the penstock more realistic, the compressible water and the elastic walls of the penstock should be taken into account. To express the compressibility/elasticity, some compressibility coefficients which show the relationship between pressure, water density and pipe inner radius, are used, \cite{Sha:11,Vyt:17}. - -The isothermal compressibility $\beta_T$ is defined as follows: -\begin{equation} -\beta_T = \frac{1}{\rho}\frac{d\rho}{dp} -\end{equation} -Here, $\rho$ and $p$ denote density and pressure, respectively. Assuming that the isothermal compressibility is independent of the pressure, this equation can be rewritten in a way that is convenient to calculate the fluid density at different pressures: -\begin{equation} -\rho = \rho^{\text{atm}}e^{\beta_T(p-p^{\text{atm}})} -\end{equation} -Here $p^{\text{atm}}$ is the atmospheric pressure and $\rho^{\text{atm}}$ is the water density at atmospheric pressure. The relation between density and pressure from this equation is a fairly linear dependency for the pressure in the range which is normal in hydropower plants. That is why the previous equation can be simplified as follows: -\begin{equation} -\rho \approx \rho^{\text{atm}}(1+{\beta_T(p-p^{\text{atm}})}) -\end{equation} -In the same way, the relation between pressure and pipe cross-section area can be defined using equivalent compressibility coefficient $\beta^{eq}$ due to the pipe shell elasticity; after simplification the relation looks as follows: -\begin{equation} -A \approx A^{\text{atm}}(1+{\beta^{eq}(p-p^{\text{atm}})}) -\end{equation} -Here, $A^{\text{atm}}$ is the pipe cross-section area at atmospheric pressure. - -It is also possible to define a linear relationship for the product of density and cross-sectional area that change with the pressure. -\begin{equation} -A\cdot\rho \approx A^{\text{atm}}\rho^{\text{atm}}(1+{\beta^\mathrm{tot}(p-p^{\text{atm}})}) -\end{equation} -Here, $\beta^\mathrm{tot}$ is the total compressibility due to water compressibility and pipe shell elasticity ($\beta^\mathrm{tot}=\beta_T+\beta^{eq}$), and is related to the speed of sound in water inside the pipe. - -Hence, using the previous equations for the relationship between the density of the water, cross-sectional area of the pipe, and pressure in the pipe, ODEs (\ref{eq:eq17}) and (\ref{eq:eq18}) for mass and momentum balances can be further developed into the PDEs, \cite{Vyt:17}: -\begin{equation}\label{eq:eq18_} -\begin{array}{c} -A^{\text{atm}}_\mathrm{p}\rho^{\text{atm}}\beta^\mathrm{tot}\frac{\partial m_\mathrm{p}}{\partial t} = -\frac{\partial\dot{m}_\mathrm{p}}{\partial x}\\ -\frac{\partial\dot{m}_\mathrm{p}}{\partial t} = -\frac{\partial}{\partial x}\big(\dot{m}_\mathrm{p}v_\mathrm{p}+A_\mathrm{p}p_\mathrm{p})+\rho A_\mathrm{p}g\cos\theta-\frac{1}{8}f_\mathrm{D,p}\pi\rho D_\mathrm{p}v_\mathrm{p}|v_\mathrm{p}| -\end{array} -\end{equation} -The KP scheme is chosen for the discretization of the model for the elastic penstock with compressible water. Firstly, PDEs (\ref{eq:eq18_}) for the elastic penstock model should be presented in vector form as a standard formulation for KP scheme, \cite{Sha:15}: -\begin{equation} -\frac{\partial U}{\partial t}+\frac{\partial F}{\partial x} = S -\end{equation} -Here, $U=\left[\begin{matrix}p_\mathrm{p} & \dot{m}_\mathrm{p}\end{matrix}\right]^T$ is a vector of conserved variables, $F=\left[\begin{matrix}\frac{\dot{m}_\mathrm{p}}{A_\mathrm{p}^{\mathrm{atm}}\rho^{\mathrm{atm}} -\beta^\mathrm{tot}} & \dot{m}_\mathrm{p}v_\mathrm{p}+A_\mathrm{p}p_\mathrm{p}\end{matrix}\right]^T$ is a vector of fluxes, and $S=\left[\begin{matrix} 0 & \rho A_\mathrm{p}g\cos\theta_\mathrm{p}-\frac{1}{8}f_\mathrm{D,p}\pi\rho D_\mathrm{p}v_\mathrm{p}|v_\mathrm{p}|\end{matrix}\right]^T$ is a source terms vector. - -As shown above in the description of the KP scheme, the eigenvalues $\lambda_{1,2}$ of the Jacobian $\frac{\partial F}{\partial U}$ of the system are needed and can be found as follows, \cite{Vyt:17}: - -\begin{align} -\lambda_{1,2}=\frac{v_\mathrm{p}\pm\sqrt{v_\mathrm{p}^2+\frac{4A_\mathrm{p}}{A_\mathrm{p}^{\text{atm}}\rho^{\text{atm}}\beta^\mathrm{tot}}}}{2} -\end{align} - -From these eigenvalues, it can be deduced that the speed of sound is given as $c=\sqrt{\frac{A_\mathrm{p}}{A_\mathrm{p}^{\text{atm}}\rho^{\text{atm}}\beta^\mathrm{tot}}}$, thus confirming that the total compressibility factor $\beta^\mathrm{tot}$ is related to the speed of sound. - -Hence, the function for the KP scheme \emph{KPmethod} from function class \emph{KP07} is then used in unit \emph{PenstockKP} in order to discretize the presented PDEs into ODEs. The \emph{KPmethod} function provides the right hand side of Eq.~\ref{eq:eq7} (discretization solution of PDE) that is then used for ODE in the \emph{PenstockKP}. Moreover, the values of states at the cell interfaces $U^\pm_{j\pm\frac{1}{2}}$ are taken from function \emph{KPmethod} in the \emph{PenstockKP} unit in order to define the vectors of eigenvalues $\lambda^\pm_{1,j\pm\frac{1}{2}}$ and $\lambda^\pm_{2,j\pm\frac{1}{2}}$, and the vector of fluxes $F\left(U^\pm_{j\pm\frac{1}{2}}\right)$. Then, these vectors together with the state vector with the cell centre average values $\bar{U}_{j=1..N}$, and source terms vector $\bar{S}_j$ are used in the function \emph{KPmethod}. The boundaries conditions are also specified for the \emph{KPmethod} function in the \emph{PenstockKP} unit and are the values for the inlet and outlet pressures $p_\mathrm{p,1}$ and $p_\mathrm{p,2}$. - -The \emph{PenstockKP} unit uses the \emph{TwoContact} connector model that provides information about inlet and outlet pressure and the mass flow rate of two connectors which can be connected to other waterway units. In this \emph{PenstockKP} unit, the user can specify the required geometry parameters for the: length $L_\mathrm{p}$, height difference $H_\mathrm{p}$, inlet and outlet diameters $D_\mathrm{p,1}$ and $D_\mathrm{p,2}$, pipe roughness height $\epsilon_\mathrm{p}$ and the number of cells $N$ for the discretization. In order to define the friction force $F_\mathrm{f,p}$ in the cell of the pipe, the \emph{Friction} function is used here. This unit can be initialized by the initial value of the flow rate $\dot{V}_\mathrm{p,0}$ and pressure $p_\mathrm{p,0}$ for each cell of the pipe. In order to simplify the pressure initialization, the user can simply specify the initial value for the surge tank water height $h_\mathrm{s,0}$ (then an encoded formula for the pressure initialization is used). Otherwise, the user can choose an option when the simulation starts from steady-state and the OpenModelica automatically handles the initial steady-state values (does not work properly in OpenModelica). - -\subsection{Open Channel} - -Similarly to the detailed model of the pipe, the model of the open channel is also encoded in the library. The open channel model looks as follows, \cite{Sha:15,Vyt:17}: - \begin{equation} -\frac{\partial U}{\partial t}+\frac{\partial F}{\partial x} = S -\end{equation} -where:\begin{itemize} -\item[] $U=\left[\begin{matrix}q & z\end{matrix}\right]^T$ , -\item[] $F=\left[\begin{matrix}q & \frac{q^2}{z-B}+\frac{g}{2}\left(z-B\right)^2\end{matrix}\right]^T$, -\item[] $S=\left[\begin{matrix}0 & -g\left(z-B\right)\frac{\partial B}{\partial x}-\frac{gf_n^2q|q|\left(w+2\left(z-B\right)\right)^\frac{4}{3}}{w^\frac{4}{3}}\frac{1}{\left(z-B\right)^\frac{7}{3}}\end{matrix}\right]^T$, -\end{itemize} -with: $z=h+B$, and $q=\frac{\dot{V}}{w}$. Here, $h$ is water depth in the channel, $B$ is the channel bed elevation, $q$ is the discharge per unit width $w$ of the open channel. $f_n$ is the Manning's roughness coefficient. The KP scheme is described earlier, but some additional specific details for open channels should be added here. Firstly, the eigenvalues for this model are defined as follows, \cite{Sha:15}: -\begin{equation} -\lambda_{1,2}=u\pm\sqrt{gh} -\end{equation} -where, $u$ is the cross-section average water velocity. In the channel areas which are dry or almost dry (if the computational domain contains a dry bed, islands or coastal areas), the values of $h_{i\pm\frac{1}{2}}^\pm$ could be very small or even zero. In such cases when $h_{i\pm\frac{1}{2}}^\pm<\epsilon$, with $\epsilon$ being an a-priori chosen small positive number (e.g. $\epsilon = 1e^{-5}$), the velocity at the cell centres in the entire domain is recomputed by the ted by the desingularization formula, \cite{Sha:15}: -\begin{equation} -\bar{u}_j=\frac{2\bar{h}_j\bar{q}_j}{\bar{h}_j^2+\max\left(\bar{h}_j^2,\epsilon^2\right)} -\end{equation} -Then, the point values of the velocity $u_{i\pm\frac{1}{2}}^\pm$ at the left/right cell interfaces, i.e., at $x_j = x_{j\pm\frac{1}{2}}$ are computed as, \cite{Sha:15} -\begin{equation}\label{eq:eq19} -\begin{array}{c} -u^-_{j+\frac{1}{2}}=\bar{u}_j+\frac{\Delta x}{2}s_{u_j}\\ -u^+_{j+\frac{1}{2}}=\bar{u}_{j+1}-\frac{\Delta x}{2}s_{u_{j+1}}\\ -u^-_{j-\frac{1}{2}}=\bar{u}_{j-1}+\frac{\Delta x}{2}s_{u_{j-1}}\\ -u^+_{j-\frac{1}{2}}=\bar{u}_j-\frac{\Delta x}{2}s_{u_j} -\end{array} -\end{equation} -The slope or the numerical derivative of the velocity $s_{u_j}$ are calculated using the same limiter function as in equation~\ref{eq:eq10}, however, in this case replacing $U$ by $u$ (it has not been rewritten here for the sake of brevity), \cite{Sha:15}. - -Hence, similar to the \emph{PenstockKP} unit the function for the KP scheme \emph{KPmethod} from function class \emph{KP07} is then used in unit \emph{OpenCannel} in order to discretize the presented PDEs into ODEs. The values of states at the cell interfaces $U^\pm_{j\pm\frac{1}{2}}$ are taken from function \emph{KPmethod} in the \emph{OpenCannel} unit in order to define the vectors of eigenvalues $\lambda^\pm_{1,j\pm\frac{1}{2}}$ and $\lambda^\pm_{2,j\pm\frac{1}{2}}$, the point values of the velocity $u_{i\pm\frac{1}{2}}^\pm$, and the vector of fluxes $F\left(U^\pm_{j\pm\frac{1}{2}}\right)$. Then, these vectors together with the state vector with the cell centre average values $\bar{U}_{j=1..N}$ and source terms vector $\bar{S}_j$ are used in the function \emph{KPmethod}. The boundaries conditions are also specified for the \emph{KPmethod} function in the \emph{OpenCannel} unit and are the values for the inlet and outlet flows per unit width $q_\mathrm{1}$ and $q_\mathrm{2}$. - -The \emph{OpenCannel} unit uses the \emph{TwoContact} connector model that gives information about inlet and outlet pressure (water depth in the channel) and the flow rate of two connectors which can be connected to other waterway units. In this \emph{OpenCannel} unit, the user can specify the required geometry parameters for the: length $L$ and width $w$ of the channel, height vector $H$ of the channel bed with a height from the left and right sides, the Manning's roughness coefficient $f_n$, and the number of cells $N$ for the discretization. This unit can be initialized by the initial value of the flow rate $\dot{V}_\mathrm{0}$ and water depth $h_\mathrm{0}$ for each cell of the channel. User can also change the boundary condition for the KP scheme. - -\subsection{Reservoir Channel} - -In order to make a more detailed model of the reservoir, the open channel model is used, where the channel bed is assumed to be flat (no slope). Here, the user also specifies the geometry parameters of the channel (reservoir) such as length $L$ and width $w$ of the channel (reservoir), height vector $H$ of the reservoir bed with height from the left and right sides (should be same number in order to have flatbed), and the number of cells $N$ for the discretization. This unit can be initialized by the initial value of the water depth $h_\mathrm{0}$ in the reservoir. - -The \emph{ReservoirChannel} unit uses the \emph{Contact} connector that provides information about the outlet pressure and the flow rate from/to the reservoir which can be connected to other waterway units. - -\subsection{Runoff} - -Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle, see Figure~\ref{fig:fig10}. The figure shows that the HBV model consists of four main water storage components connected in a cascade form. Using a variety of weather information, such as air temperature, precipitation and potential evapotranspiration, the dynamics and the balances of the water in the presented water storages are calculated. Hence, the runoff/inflow from some of the defined catchment areas can be found, \cite{Sha:13}. - -\begin{figure}[!ht] - \centering - \includegraphics[width=0.6\textwidth]{fig/hydrology} - \caption{Structure of the HBV model.} - \label{fig:fig10} -\end{figure} - -The model is developed for each water storage component to define the dynamics and balances of the water. In addition, the catchment area is divided into elevation zones (usually not more than ten) where each zone has the same area. The air temperature and the precipitation are provided for each elevation zone. Hence, all calculations within each water storage component are performed for each elevation zone. - -\subsubsection{Snow routine} - -In the snow routine segment, the snow storage, as well as snowmelt are computed. This computation is performed for each elevation zone. Using the mass balance, the change in the dry snow storage volume $V_\mathrm{s,d}$, is found as follows: -\begin{equation}\label{eq:eq20} -\frac{dV_\mathrm{s,d}}{dt}=\dot{V}_\mathrm{p,s}-\dot{V}_\mathrm{d2w} -\end{equation} -Here, the flow of the precipitation in the form of snow is denoted as $\dot{V}_\mathrm{p,s}$. This precipitation in the form of snow is defined from the input precipitation flow, $\dot{V}_\mathrm{p}$, based on the information about the air temperature, $T$, a threshold temperature for snowmelt, $T_\mathrm{T}$, and for the area that is not covered by lakes (the fractional area covered by the lakes, $a_\mathrm{L}$, is used): -\begin{equation}\label{eq:eq21} -\dot{V}_\mathrm{p,s}=\begin{cases} \dot{V}_\mathrm{p}K_\mathrm{CR}K_\mathrm{CS}(1 - a_\mathrm{L}), & \mbox{if } T\leq T_\mathrm{T}\\ 0, & \mbox{if } T>T_\mathrm{T} \end{cases} -\end{equation} -Precipitation correction coefficients $K_\mathrm{CR}$ and $K_\mathrm{CS}$ are also used here, for the rainfall and snowfall precipitations, respectively. Then, the flow of precipitation in the form of rain is defined as follows: -\begin{equation}\label{eq:eq22} -\dot{V}_\mathrm{p,r}=\begin{cases} \dot{V}_\mathrm{p}K_\mathrm{CR}(1 - a_\mathrm{L}), & \mbox{if } T>T_\mathrm{T}\\ 0, & \mbox{if } T\leq T_\mathrm{T} \end{cases} -\end{equation} -The flow of the melting snow (melting of snow from dry form to water form), $\dot{V}_\mathrm{d2w}$, can be found using the following expression based on the degree-day factor $K_\mathrm{dd}$ and the area of the elevation zone $A_\mathrm{e}$: -\begin{equation}\label{eq:eq23} -\dot{V}_\mathrm{d2w}=\begin{cases} A_\mathrm{e}K_\mathrm{dd}(T - T_\mathrm{T})(1 - a_\mathrm{L}), & \mbox{if }T>T_\mathrm{T}\mbox{ and }V_\mathrm{s,d}>0\\ 0, & \mbox{otherwise} \end{cases} -\end{equation} -Finally, the flow out of the snow routine to the next soil moisture segment, $\dot{V}_\mathrm{s2s}$, is found as a sum of flows of precipitation in the form of rain, and the melted snow: -\begin{equation}\label{eq:eq24} -\dot{V}_\mathrm{s2s}=\dot{V}_\mathrm{p,r}+\dot{V}_\mathrm{d2w} -\end{equation} -It should be noted that a simplification related to the threshold temperature, $T_\mathrm{T}$, is assumed here. This threshold temperature describes both the snow melt and the rainfall to snowfall transition temperatures in the presented model. In reality, this threshold temperature might differ for each of these processes. In addition, the storage of snow in water form is not considered here, mostly due to the simplification with the threshold temperature. - -\subsubsection{Soil moisture routine} - -In the soil moisture segment, the water storage in the ground (soil) is found together with actual evapotranspiration from the snow-free areas. The net runoff to the next segment (upper zone) is also defined here. Using the mass balance, the volume of the soil moisture storage, $V_\mathrm{s,m}$, is found as follows: -\begin{equation}\label{eq:eq25} -\frac{dV_\mathrm{s,m}}{dt}=\dot{V}_\mathrm{s2s}-\dot{V}_\mathrm{s2u}-\alpha_\mathrm{e}\dot{V}_\mathrm{s,e} -\end{equation} -Here, $\dot{V}_\mathrm{s2u}$ is the net runoff to the next segment (the upper zone). $\dot{V}_\mathrm{s,e}$ is the actual evapotranspiration from the soil, that is taken into account only for the snow-free areas (zones). To define these snow-free zones, coefficient $\alpha_\mathrm{e}$ is used and equals one for snow-free areas and zero for covered-by-snow areas. The actual evapotranspiration can be found from the potential evapotranspiration, $\dot{V}_\mathrm{e}$, the volume of the soil moisture storage, $V_\mathrm{s,m}$, the area of the elevation zone $A_\mathrm{e}$, and the field capacity --- threshold soil (ground) moisture storage, $g_\mathrm{T}$: -\begin{equation}\label{eq:eq26} -\dot{V}_\mathrm{s,e}=\begin{cases} \frac{V_\mathrm{s,m}}{A_\mathrm{e}g_\mathrm{T}}\dot{V}_\mathrm{e}, & \mbox{if } V_\mathrm{s,m}< A_\mathrm{e}g_\mathrm{T}\\ \dot{V}_\mathrm{e}, & \mbox{if } V_\mathrm{s,m}\geq A_\mathrm{e}g_\mathrm{T} \end{cases} -\end{equation} -The potential evapotranspiration, $\dot{V}_\mathrm{e}$, is defined as the input to the hydrology model, similarly to the air temperature and precipitations. - -The output of the soil moisture segment --- the net runoff to the next segment, $\dot{V}_\mathrm{s2u}$, can be found based on the field capacity, $g_\mathrm{T}$, as follows: -\begin{equation}\label{eq:eq27} -\dot{V}_\mathrm{s2u}=\begin{cases} \Big(\frac{V_\mathrm{s,m}}{A_\mathrm{e}g_\mathrm{T}}\Big)^{\beta}\dot{V}_\mathrm{s2s}, & \mbox{if } 0\leq V_\mathrm{s,m}< A_\mathrm{e}g_\mathrm{T}\\ \dot{V}_\mathrm{s2s}, & \mbox{if } V_\mathrm{s,m}\geq A_\mathrm{e}g_\mathrm{T} \end{cases} -\end{equation} -Here, $\beta$ is an empirical parameter for specifying the relationship between the flow out of the snow routine, the soil moisture storage, and the net runoff from the soil moisture. Typically, $\beta \in [2,3]$, which leads to nonlinearity in Eq.~\ref{eq:eq27}. - -\subsubsection{Runoff routine} - -The upper and lower zones from Figure~\ref{fig:fig10} are combined into one segment --- the runoff routine. In this segment, the runoff from the catchment area is found based on the outflow from the soil moisture. The effects of the precipitation to, and evapotranspiration from the lakes in the catchment area are also taken into account here. - -The upper zone characterises components with quick runoff. The following mass balance is used for the upper zone description: -\begin{equation}\label{eq:eq28} -\frac{dV_\mathrm{u,w}}{dt}=\dot{V}_\mathrm{s2u}-\dot{V}_\mathrm{u2l}-\dot{V}_\mathrm{u2s}-\dot{V}_\mathrm{u2q} -\end{equation} -Here, $V_\mathrm{u,w}$ is the water volume in the upper zone that depends on the saturation threshold, $s_\mathrm{T}$, which defines the surface (fast) runoff, $\dot{V}_\mathrm{u2s}$, and the fast runoff, $\dot{V}_\mathrm{u2q}$. $\dot{V}_\mathrm{u2b}$ is the runoff to the lower zone and is defined by the percolation capacity, $K_\mathrm{PC}$, for the area that is not covered by lakes: -\begin{equation}\label{eq:eq29} -\dot{V}_\mathrm{u2l}=A_\mathrm{e}(1-a_\mathrm{L})K_\mathrm{PC} -\end{equation} -The surface runoff, $\dot{V}_\mathrm{u2s}$, can be found using the saturation threshold, $s_\mathrm{T}$, and the water volume in the upper zone, $V_\mathrm{u,w}$: -\begin{equation}\label{eq:eq30} -\dot{V}_\mathrm{u2s}=\begin{cases} a_1(V_\mathrm{u,w}-A_\mathrm{e}s_\mathrm{T}), & \mbox{if } V_\mathrm{u,w}>A_\mathrm{e}s_\mathrm{T}\\ 0, & \mbox{if } V_\mathrm{u,w}\leq A_\mathrm{e}s_\mathrm{T} \end{cases} -\end{equation} -Here, $a_1$ is a parameter that represents the recession constant for the surface runoff. A similar recession constant, $a_2$, is used for the fast runoff, $\dot{V}_\mathrm{u2q}$, calculations: -\begin{equation}\label{eq:eq31} -\dot{V}_\mathrm{u2q}=a_2\min{(V_\mathrm{u,w},A_\mathrm{e}s_\mathrm{T})} -\end{equation} -The lower zone characterises the lake and the groundwater storages and defines the base runoff from the catchment area. The following mass balance equation is used for the lower zone description: -\begin{equation}\label{eq:eq32} -\frac{dV_\mathrm{l,w}}{dt}=\dot{V}_\mathrm{u2l}+a_\mathrm{L}\dot{V}_\mathrm{p}-\dot{V}_\mathrm{l2b}-a_\mathrm{L}\dot{V}_\mathrm{e} -\end{equation} -The water volume in the lower zone is denoted as $V_\mathrm{l,w}$. As mentioned previously, $\dot{V}_\mathrm{p}$ and $\dot{V}_\mathrm{e}$ are the precipitation and the potential evapotranspiration flows, respectively. $a_\mathrm{L}$ is the fractional area covered by lakes. $\dot{V}_\mathrm{l2b}$ is the base runoff from the lower zone that can be found as follows: -\begin{equation}\label{eq:eq33} -\dot{V}_\mathrm{l2b}=a_3V_\mathrm{l,w} -\end{equation} -Here, $a_3$ is the recession constant similar to $a_1$ and $a_2$. - -The total runoff from the catchment, $\dot{V}_\mathrm{tot}$, is a sum of the base, quick, surface runoffs for each elevation zones, and is defined as follows: -\begin{equation}\label{eq:eq34} -\dot{V}_\mathrm{tot}=\sum\limits_{i=1}^n(\dot{V}_{\mathrm{l2b},i}+\dot{V}_{\mathrm{u2s},i}+\dot{V}_{\mathrm{u2q},i}) -\end{equation} -Here, the base $\dot{V}_{\mathrm{l2b},i}$, quick $\dot{V}_{\mathrm{u2q},i}$, and surface $\dot{V}_{\mathrm{u2s},i}$ runoffs are first summed up for each of the $n$ elevation zones and then these sums of the base, quick and surface runoffs are added together. - -Hence, this hydrology model is encoded in the \emph{OpenHPL} library as the \emph{RunOff\_zones} unit where the main defined variable is the total runoff from the catchment. This unit uses the standard Modelica connector \emph{RealOutput} connector as an output from the model that can be connected to, for example, simple reservoir model \emph{Reservoir} unit. - -In order to get historic information about the air temperature, precipitation, and potential evapotranspiration for each of the elevation zones, the standard Modelica \emph{CombiTimeTable} source models are used in order to read this data from the text files. - -When the \emph{RunOff\_zones} unit is in use, the user can specify the required geometry parameters for the catchment: the number of elevation zones, all hydrology parameters such as threshold temperatures, degree-day factor, precipitation correction coefficients, field capacity and $\beta$ parameter in soil moisture routine, threshold level for quick runoff in upper zone, percolation from upper zone to lower zone, recession constants for the surface and quick runoffs in upper zone, and recession constant for the base runoff in lower zone. Finally, the user can also specify the info about the text files where the data for the \emph{CombiTimeTable} models are stored. - -\section{Electro-Mechanical} - -\subsection{Turbine} - -The turbine unit can be expressed with a simple turbine model based on a look-up table (turbine efficiency vs. guide vane opening). This simple turbine model is described by Eq.~\ref{eq:eq35}, \cite{LieL:18,Vyt:19b}, where the mechanical turbine shaft power $\dot{W}_\mathrm{tr}$ is defined as: - -\begin{equation}\label{eq:eq35} -\dot{W}_\mathrm{tr} = \eta_\mathrm{h}\Delta p_\mathrm{tr}\dot{V}_\mathrm{tr} -\end{equation} - -Here, $\eta_\mathrm{h}$ gives the turbine hydraulic efficiency that is found from a standard turbine look-up table and depends on the turbine control signal, $u_v$. $\Delta p_\mathrm{tr}$ is the pressure drop through the turbine that is defined as the difference between inlet and outlet turbine pressures, i.e., $\Delta p_\mathrm{tr} = p_\mathrm{tr1}-p_\mathrm{tr2}$. The relationship between the turbine volumetric flow rate $\dot{V}_\mathrm{tr}$ and the pressure drop $\Delta p_\mathrm{tr}$ is described through a simple valve-like expression as follows: - -\begin{equation}\label{eq:eq36} -\dot{V}_\mathrm{tr} = C_\mathrm{v} u_\mathrm{v} \sqrt{\frac{\Delta p_\mathrm{tr}}{p^\mathrm{a}}} -\end{equation} - -Here, $C_\mathrm{v}$ in Eq.~\ref{eq:eq36} is some guide vane ``valve capacity'' that can be tuned by using the nominal turbine net head (nominal pressure drop) and the nominal turbine flow rate. $p^\mathrm{a}$ is the atmospheric pressure. - -Based on Eqs.~\ref{eq:eq35} and \ref{eq:eq36}, the simple turbine model is implemented in \emph{OpenHPL} as the \emph{Turbine} element. In this \emph{Turbine} unit, the multi-physic connections are used in order to stay connected to waterway units as well as to the other electro-mechanical units. Those connections are already implemented in the \emph{TurbineContacts} connectors model that is used in this \emph{Turbine} unit. Then, this unit can be connected to other waterway and electro-mechanical units. - -In the \emph{Turbine} unit, the user can specify the required parameters for the simple turbine model: guide vane ``valve capacity'' $C_\mathrm{v}$, the nominal turbine net head (nominal pressure drop) and the nominal turbine flow rate, turbine guide vane nominal opening signal $u_{v,n}$ in per unit value from 0 to 1. The user can also choose either to use the constant turbine efficiency and specify it, or to use the look-up table for the turbine efficiency and also specify this table. - -\subsection{Francis} - - Our library also includes a mechanistic Francis turbine model based on the Euler turbine equations. The key quantities of the model are shown in Fig.~\ref{fig:fig11}, and the shaft power $\dot{W}_s$ produced in the Francis turbine is defined as follows, \cite{LieL:18,Vyt:18}: - -\begin{equation} \label{eq:eq37} -{\dot{W}_s} = \dot{m}\omega \Big(R_1\frac{\dot{V}}{A_1}\cot{\alpha_1}-R_2\big(\omega R_2+\frac{\dot{V}}{A_2}\cot{\beta_2}\big)\Big). -\end{equation} - -\begin{figure} -\centering -\includegraphics[width=0.6\textwidth]{fig/Fig_2_F_turb} % The printed column width is 8.4 cm. -\caption{Key quantities in the Francis turbine model, with blade angles $\beta_1$ and $\beta_2$. The water effluent comes out from the paper plane, \cite{LieL:18}.} -\label{fig:fig11} -\end{figure} - -Here, $\dot{m}$ and $\dot{V}$ are the mass and volumetric flow rate through the turbine, respectively, and $\omega$ is the angular velocity of the runner. $R_1$ and $R_2$ are the inlet and outlet radius of the runner, respectively. $A_1$ and $A_2$ are the inlet and outlet cross-sectional areas, respectively, and can be defined by using the runner dimensions: $R_1$, $R_2$, and $w_1$ which is the inlet width/height of the runner/blades. $\alpha_1$ is the inlet guide vane angle that is given by a control signal. $\beta_2$ is the outlet blade angle. - -The total work rate $\dot{W}_t$ removed through the turbine is: - -\begin{equation} \label{eq:eq38} -{\dot{W}_t} = {\dot{W}_s+\dot{W}_{ft}+\Delta p_v\dot{V}}. -\end{equation} - -Here, $\Delta p_v$ is the pressure loss across the guide vane due to friction and is often neglected. -The total work rate might also be formulated based on Bernoulli's law: $\dot{W}_t=\Delta p_{tr}\dot{V} + \frac{1}{2}\dot{m}\dot{V}^2(\frac{1}{A_0^2}-\frac{1}{A_2^2})$, from where the total pressure loss across the turbine $\Delta p_{tr}$ can be defined; $A_0$ is the inlet cross section area to the spiral case. $\dot{W}_{ft}$ -- the friction term that represents various friction losses within the turbine is calculated as follows: - -\begin{equation} \label{eq:eq39} -\begin{array}{ll} -\dot{W}_{ft} = k_{ft,1}\dot{V}(\cot{\gamma_1}-\cot{\beta_1})^2 \\ -+k_{ft,2}\dot{V}\cot^2{\alpha_2}+k_{ft,3}\dot{V}^2. -\end{array} -\end{equation} - -Here, $k_{ft,1}$, $k_{ft,2}$ and $k_{ft,3}$ are friction coefficients that represent shock, whirl, and pipe friction losses, respectively. These coefficients are tuning parameters for the mechanistic Francis turbine model. $\beta_1$ is the inlet blade angle which in the nominal operating condition should be equal to the angle of the relative velocity $\gamma_1$ in order to achieve an influent no-shock condition (the angle of the relative velocity is defined from: $\cot{\gamma_1}=\cot{\alpha_1}-\frac{\omega R_1}{\dot{V}}A_1$). To satisfy the no-whirl effluent condition, angle $\alpha_2$ should be equal to 0. This angle is defined as $\cot{\alpha_2}=\cot{\beta_2}+\frac{\omega R_2}{\dot{V}/A_2}$. - -We propose the following expressions for the turbine loss coefficients, \cite{Vyt:19b}: -\begin{equation} -\begin{array}{c} -k_{ft,1} = 11.6\cdot10^3e^{8.9\cdot10^{-3}H_\mathrm{n}}\\ -k_{ft,2} = 0\\ -k_{ft,3} = 720e^{6.7\cdot10^{-3}H_\mathrm{n}} -\end{array} -\end{equation} - -The efficiency of the turbine can be defined as follows: -\begin{equation} \label{eq:eq40} -{\eta} = \frac{\dot{W}_{s}}{\dot{W}_{t}} -\end{equation} - -\textbf{Turbine design algorithm.} Geometry parameters for the Francis turbine must be found in order to use the mechanistic turbine model as presented above. These parameters, such as blade angles or runner dimensions, can be found from design data. Typically, for real (in use) turbines, these data are unavailable due to trade confidentiality. Thus, it is of interest to develop a design algorithm that can be used to define all the geometry parameters. The structure of this algorithm is shown in Fig.~\ref{fig:fig12}, where the input and output values for the design algorithm are presented. - -\begin{figure} -\begin{center} -\includegraphics[width=0.4\textwidth]{fig/Fig_3_Algor_str} % The printed column width is 8.4 cm. -\caption{Block diagram that describes the turbine design algorithm (inputs and outputs).} -\label{fig:fig12} -\end{center} -\end{figure} - -As input data for the calculation, nominal net head $H_n$ and volumetric flow rate $\dot{V}_n$ are used. A possible turbine design algorithm is as follows, ref. Fig.~\ref{fig:fig11}, \cite{Bre:01}: - -\begin{enumerate} - \item Choose the outlet blade angle $\beta_2$ and reference velocity $v_{\omega,2}$. These values are usually in the interval: -\begin{equation} \label{eq:eq41} -\begin{array}{ll} -158\mathrm{^\circ} \leq \beta_2 \leq 165\mathrm{^\circ} \\ -35\mathrm{m/s} \leq v_{\omega,2} \leq 42\mathrm{m/s} -\end{array} -\end{equation} - Here, the outlet angle and reference velocity take higher values for higher heads. Brekke suggests that these values may be chosen as $\beta_2=162.5\mathrm{^\circ}$ and $v_{\omega,2}=41\mathrm{m/s}$. - \item Define the outlet runner cross-section area $A_2$ (radius $R_2$) and adjust it together with reference velocity $v_{\omega,2}$ to the normal synchronous rotational speed.\\First, the meridional velocity is defined as: -\begin{equation} \label{eq:eq42} -{v_2^r} = -\frac{v_{\omega,2}}{\cot{\beta_2}}, -\end{equation} -then outlet radius can be defined from the outlet cross-sectional area ($A_2=\pi R_2^2$): -\begin{equation} \label{eq:eq43} -{v_2^r} = \frac{\dot{V}}{A_2} \Rightarrow R_2=\sqrt{\frac{\dot{V}}{\pi v_2^r}} -\end{equation} -Then, the turbine rotational speed $n$ [$\mathrm{RPM}$] can be calculated from the angular velocity ($\omega=\frac{\pi n}{30}$): -\begin{equation} \label{eq:eq44} -{v_{\omega,2}}={\omega R_2} \Rightarrow n=\frac{30v_{\omega,2}}{\pi R_2} -\end{equation} -After this the turbine speed should be reduced to the nearest synchronous speed (depends on number of pole pairs $p$ in the generator: $n=\frac{60f}{p}$, where frequency $f$ is constant $50\,\mathrm{Hz}$) and then the outlet radius with the reference velocity should be recalculated in reverse order, using~(\ref{eq:eq44}),~(\ref{eq:eq43}) and~(\ref{eq:eq42}).\\ Normally, the information about the turbine rotational speed is available, so the outlet runner radius and the reference velocity can be found directly from~(\ref{eq:eq42}),~(\ref{eq:eq43}) and~(\ref{eq:eq44}). - \item Choosing the inlet runner dimension, inlet cross-section area $A_1$ (radius $R_1$ and width $w_1$).\\ The inlet radius can be defined from the reference velocity $v_{\omega,1}$ as follows: -\begin{equation} \label{eq:eq45} -{R_1}=\frac{v_{\omega,1}}{\omega}=\frac{30v_{\omega,1}}{\pi n} -\end{equation} -Here, the reference velocity can be chosen from the range of reduced value $\overline{v}_{\omega,1}\in [0.7, 0.75]$, which is dimensionless and expressed as: -\begin{equation} \label{eq:eq46} -{\overline{v}_{\omega,1}} = \frac{v_{\omega,1}}{\sqrt{2gH}} -\end{equation} -It is common to use $\overline{v}_{\omega,1}=0.725$.\\Regularly, in order to avoid backflow in the runner, an acceleration of the flow through the runner is desirable. That is why the outlet meridional velocity can be chosen approximately ten per cent higher than the inlet. -\begin{equation} \label{eq:eq47} -{v_2^r} = 1.1v_1^r -\end{equation} -Then the inlet runner width $w_1$ can be calculated from the inlet cross-sectional area ($A_1=2\pi R_1w_1$): -\begin{equation} \label{eq:eq48} -{v_1^r} = \frac{\dot{V}}{A_1}\Rightarrow w_1=\frac{\dot{V}}{2\pi R_1v_1^r} -\end{equation} -Here, it should be noted that the blade thickness could be included for improving the calculation of the inlet cross-section area, e.g., 10\% of the perimeter. - \item The inlet blade angle $\beta_1$ can be found as follows: -\begin{equation} \label{eq:eq49} -{\tan{(180^\circ-\beta_1)}} = \frac{v_1^r}{v_{\omega,1}-v_1^t} -\end{equation} - Here, $v_1^t$ is the tangential velocity and can be defined from dimensionless value $\overline{v}_1^t = 0.48/\overline{v}_{\omega,1}$, using~(\ref{eq:eq46}) to convert from dimensionless value. -\end{enumerate} - -\textbf{Guide vane actuation.} In addition, a model for the guide vane opening is also included in order to define the inlet guide vane angle $\alpha_1$, \cite{LieL:18}. The guide vane geometry is depicted in Figure~\ref{fig:fig13}. -\begin{figure} -\begin{center} -\includegraphics[width=0.8\textwidth]{fig/Guide_vane} % The printed column width is 8.4 cm. -\caption{Guide vane geometry relating actuator position $Y$ to guide vane angel $\alpha_1$, \cite{LieL:18}.} -\label{fig:fig13} -\end{center} -\end{figure} - -From Figure~\ref{fig:fig13}~(a), assuming that the actuator cylinder is ``vertical'' in position ``0'', it can be found that -\begin{equation} -\begin{array}{c} -{R}_Y^2=r_Y^2+Y_0^2 \\ -\cos\theta_0=\frac{r_Y}{R_Y} -\end{array} -\end{equation} - -Clearly, $d_0=R_v-r_v$. Next, moving the actuator to position $Y$, Figure~\ref{fig:fig13}~(b) with the cosine law gives -\begin{equation} -Y^2=r_Y^2+R_Y^2-2r_YR_Y\cos\theta -\end{equation} -thus specifying angle $\theta$. The change in angel $\theta$ is introduced in (Figure~\ref{fig:fig12}~(b), (c)) as -\begin{equation} -\Delta\theta\equiv\theta-\theta_0 -\end{equation} - -Then, applying the cosine law to Figure~\ref{fig:fig13}~(c) gives length $d$ ($d\in[d_0,2l]$) from -\begin{equation} -d^2=r_v^2+R_v^2-2r_vR_v\cos\Delta\theta -\end{equation} -and then angle $\psi$ from -\begin{equation} -r_v^2=d^2+R_v^2-2dR_v\cos\psi -\end{equation} -Here, it is necessary to ensure that the sign of $\psi$ equals to the sign of $\Delta\theta$. - -From Figure~\ref{fig:fig13}~(d) and applying the cosine law, we find -\begin{equation} -l^2=l^2+d^2-2ld\cos\phi\Rightarrow\cos\phi=\frac{d}{2l} -\end{equation} - -Finally, the guide vane angle can be found as -\begin{equation} -\alpha_1=\phi-\psi -\end{equation} - -In the above model, it has been assumed that the guide vane is perpendicular to the attached ``arm'' of length $l$, and that in position ``0'', a guide vane is at position ``9 o'clock'', Figure~\ref{fig:fig13}~(a), \cite{LieL:18}. - -Hence, together the Francis turbine model, the turbine design algorithm and the guide vane actuation (servo position) are realized in the \emph{Francis} turbine element in our library. In this \emph{Francis} unit, the multi-physic\emph{TurbineContacts} connectors model is also used and ensures connection to other waterway and electro-mechanical units. In addition, this \emph{Francis} unit has also the standard Modelica \emph{RealInput} connector that describes the angular velocity as an input to the Francis turbine model. Typically, this angular velocity connector is based on the derived info from (connected to) the generator units. - -In the \emph{Francis} unit, the user can specify the required nominal parameters for the Francis turbine: nominal turbine net head (nominal pressure drop), nominal turbine flow rate, nominal power, and nominal rotational speed. Then, the user can either choose to use the design algorithm that automatically defines the turbine geometry parameters (radius of the turbine blade inlet and outlet, the width of the turbine/blades inlet, the turbine inlet and outlet blade angles), or specify these turbine geometries manually. Similarly, the user has the same options for the losses coefficients and parameters for the guide vane actuation (servo position) model. - -\subsection{Pelton} - -Similar to the Francis turbine model, the mechanistic Pelton turbine model is developed and used. The key quantities of the model are shown in Fig.~\ref{fig:fig14}, and the shaft power $\dot{W}_s$ produced in the Pelton turbine is defined as follows, \cite{LieL:18}: -\begin{figure} -\begin{center} -\includegraphics[width=0.8\textwidth]{fig/Pelton_turb} % The printed column width is 8.4 cm. -\caption{Some key concepts of the Pelton turbine, \cite{LieL:18}.} -\label{fig:fig14} -\end{center} -\end{figure} - -\begin{equation} -\dot{W}_s=\dot{m}v_R\left[\delta(u_\delta)\cdot v_1-v_R\right]\left(1-k\cos\beta\right) -\end{equation} -Here, $\dot{m}$ is the mass flow rate through the turbine. The reference velocity is equal to $v_R = \omega R$: here, $R$ is a is the radius of the rotor where the mass hits the bucket and $\omega$ is the angular velocity that is normally constrained by the grid frequency. The water velocity at position ``1'' (Figure~\ref{fig:fig14}) is equal to $v_1=\frac{\dot{V}}{A_1}$, where $\dot{V}$ is the volumetric flow rate through the turbine and $A_1$ is a cross-sectional area at position ``1'' (the end of the nuzzle). $\beta$ is the reflection angle with typical value of $\beta= 165^{\circ}$, and $k<1$ is some friction factor, typically $k\in[0.8, 0.9]$, \cite{LieL:18}. In practical installations, there is a deflector mechanism to reduce the velocity $v_1\delta(u_\delta)$ to avoid over-speed. - -The total work rate $\dot{W}_t$ removed through the turbine is: -\begin{equation} \label{eq:eq50} -{\dot{W}_t} = {\dot{W}_s+\dot{W}_{ft}} -\end{equation} -Here, $\dot{W}_{ft}$ is a friction of losses that can be found as follows: -\begin{equation} -\dot{W}_{ft}=K\left(1-k\cos\beta\right)\dot{m}v_R^2 -\end{equation} -Here, friction coefficient $K$ equals 0.25, \cite{LieL:18}. - -In addition, the pressure drop across the nozzle (positions ``0'' and ``1'`) $\Delta p_n$ can be found as follows, \cite{LieL:18}: -\begin{equation} -\Delta p_n=\frac{1}{2}\rho\dot{V}\left[\dot{V}\left(\frac{1}{A_1^2(Y)}-\frac{1}{A_0^2}\right)+k_f\right] -\end{equation} -Here, $A_0$ is a cross sectional area at position ``0'' (the beginning of the nuzzle). $A_1(Y)$ means that the cross-sectional area at position ``1'' is a function of the needle position $Y$. $k_f$ is a coefficient of friction loss in the nuzzle. - -Hence, this Pelton turbine model is realized in the \emph{Pelton} turbine element in our library. In this \emph{Pelton} unit, the multi-physic\emph{TurbineContacts} connectors model is also used and ensures connection to other waterway and electro-mechanical units. In addition, this \emph{Pelton} unit also has the standard Modelica \emph{RealInput} connector that describes the angular velocity as an input to the Francis turbine model. Typically, this angular velocity connector is based on the derived info from (connected to) the generator units. - -In the \emph{Pelton} unit, the user can specify the required geometry for the Pelton turbine: radius of the turbine runner, input diameter of the nuzzle, runner bucket angle, friction factors and coefficients, and deflector mechanism coefficient. - -\subsection{Simple Generator} - -Here, a simple model of an ideal generator with friction is considered. This model has inputs as electric power available on the grid and the turbine shaft power. This model is based on the angular momentum balance which depends on the turbine shaft power, the friction loss in the unit rotation, and the power taken up by the generator. The rotor angular velocity mainly depends on its inertia, internal friction and available power. The kinetic energy stored in the rotating generator is $ K_a=\frac{1}{2}J_a\omega_a^2$, where $\omega_a$ is the angular velocity of the rotor and $J_a$ is its moment of inertia. The kinetic energy $K_a$ is changed by the power terms operating on the generator axis, e.g., the turbine shaft power $\dot{W}_s$ produced by the turbine, friction power $\dot{W}_{f,a}$, and the power taken up by the generator, $\dot{W}_g$, \cite{LieL:18}, and from energy the balance can be expressed as follows: -\begin{equation} -\frac{dK_a}{dt}=\dot{W}_s-\dot{W}_{f,a}-\dot{W}_g -\end{equation} -$\dot{W}_{f,a}$ is the frictional power loss in the rotor. This frictional power loss is mainly due to losses in the shaft supporting bearings, losses in the transmission gearboxes and losses in the windage (air gap). For simplicity, it is assumed that the bearing term is dominating, and express $\dot{W}_{f,a}$ as -\begin{equation} -\dot{W}_{f,a}=\frac{1}{2}k_{f,b}\omega_a^2 -\end{equation} -Here, $k_{f,b}$ is the bearing friction factor. The power taken up by the generator is transmitted to the grid with electric efficiency $\eta_e$. Thus the electric power available on the grid is $\dot{W}_e=\eta_e\dot{W}_g$. - -Hence, this simple generator model is encoded in the \emph{OpenHPL} as a \emph{SimpleGen} unit. This unit has inputs as electric power available on the grid and the turbine shaft power which both are implemented with the standard Modelica \emph{RealInput} connector. This \emph{SimpleGen} unit also uses the standard Modelica \emph{RealOutput} connectors in order to provide output information about the angular velocity and frequency of the generator. All these connectors can be connected to turbines units and other standard Modelica blocks. - -In the \emph{SimpleGen} unit, the user can specify the required parameters for the generator: moment of inertia of the generator, generator's electrical efficiency, friction factor in the rotor bearing box, the number of the generator poles. This unit can be initialised by the initial value of the angular velocity $\omega_0$. Otherwise, the user can decide on an option when the simulation starts from a steady-state and the OpenModelica automatically handles the initial steady-state values (does not work properly in OpenModelica). - -\subsection{Synchronize Generator} - -Here, a more detailed model of the synchronous generator is presented. More details in the Behzad Sharefi master thesis, \cite{Sha:11}. This model is based on the d-q decomposition and assumed that the generator is connected to the grid, \cite{Sha:11}. The voltage-current relation is given as: -\begin{equation} -\left[\begin{matrix}R_a+R_e & x_q'+x_e\\ -x_d'-x_e & R_a+R_e\end{matrix}\right]\left[\begin{matrix}I_d \\ I_q\end{matrix}\right]= \left[\begin{matrix}E_d'+V_s\sin\delta_e \\ E_q'-V_s\cos\delta_e\end{matrix}\right] -\end{equation} -Here, $R_a$ and $R_e$ are the phase winding and equivalent network resistances, $x_d$, $x_q$, $x_d'$, and $x_q'$ are d-/q-axis normal, and transient reactances. $x_e$ is the equivalent network reactance. $I_d$ and $I_q$ are the d-/q-axis currents. $E_d'$ and $E_q'$ are the d-/q-axis transient voltages. $V_s$ is the network RMS (Root-Mean-Squared) voltage. $\delta_e$ is the phase shift angle that is described as follows: -\begin{equation} -\frac{d\delta_e}{dt} = (\omega - \omega_s)\frac{n_p}{2} -\end{equation} -Here, $n_p$ is the number of poles in the generator, where $\omega$ and $\omega_s$ are the generator and grid angular velocities, respectively. The Swing equation is used to describe the angular velocity dynamics and looks as follows: -\begin{equation} -\frac{d\omega}{dt}=\frac{\dot{W}_s-P_e}{J\omega} -\end{equation} - -The dynamic equations for the transient operation are as follows: \begin{equation} -\begin{array}{c} -T_{qo}'\frac{dE_d'}{dt} =-E_d' + (x_q' - x_q)I_q \\ -T_{do}'\frac{dE_q'}{dt} = -E_q' + (x_d - x_d')I_d + E_f -\end{array} -\end{equation} -Here, $T_{do}'$ and $T_{qo}'$ are the d-/q-axis transient open-circuit time constants. $E_f$ is the voltage across the field winding with the following dynamic equation: -\begin{equation} -\frac{dE_f}{dt} = \frac{-E_f + K_E\left(V_{tr}-V_t-V_{stab}\right)}{T_E} -\end{equation} -Here, $K_E$ is the excitation system gain and $T_E$ --- excitation system time constant. $V_{tr}$ is the voltage reference set point for the exciter. -$V_t$ is the terminal voltage and can be found as $V_t = \sqrt{\left(E_d'-R_aI_d-x_q'I_q\right)^2+\left(E_q'-R_aI_q+x_d'I_d\right)^2}$. $V_{stab}$ is the stabilisation voltage with the following dynamic equation: -\begin{equation} -\frac{dV_{stab}}{dt} = \frac{-V_{stab} + K_F\frac{dE_f}{dt}}{T_{FE}} -\end{equation} -Here, $K_F$ is the stabiliser gain, and $T_{FE}$ --- the stabiliser time constant. - -The output active and reactive power of the generator can be found as follows: -\begin{equation} -\begin{array}{c} -P_e = 3\left(E_d'I_d+E_q'I_q\right)\\ -Q_e = \sqrt{9V_t^2I_t^2-P_e^2} -\end{array} -\end{equation} -Here, the terminate current is given as $I_t=\sqrt{I_d^2+I_q^2}$. - -Hence, this synchronise generator model is encoded in the \emph{OpenHPL} as a\emph{SynchGen} unit. This unit has inputs as the turbine shaft power, that is implemented with the standard Modelica \emph{RealInput} connector. This \emph{SynchGen} unit also uses the standard Modelica \emph{RealOutput} connectors in order to provide output information about the angular velocity and frequency of the generator. All these connectors can be connected to turbines units and other standard Modelica blocks. - -In the \emph{SynchGen} unit, the user can specify the required nominal parameters for the generator: active and reactive powers drawn from the generator at Steady-State operating condition, phase winding resistance, and the number of poles. The following network parameters should be also specified by the user: equivalent network resistance and reactance, network RMS voltage, grid angular velocity. The user also specifies the d-/q-axis normal and transient reactances, d-/q-axis transient open-circuit time constants, minimum and maximum field voltages, excitation system, stabilizer gains, time constants, moment of inertia of the generator, and the friction factor in the rotor bearing box. This unit can be initialized, or the user can decide on an option for the self initialisation. - -\section{Governor} - -Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power production is described. More details in the Behzad Sharefi master thesis, \cite{Sha:11}. The block diagram of this governor model is shown in Figure~\ref{fig:fig15}. -\begin{figure} -\begin{center} -\includegraphics[width=0.8\textwidth]{fig/Governor} % The printed column width is 8.4 cm. -\caption{Block Diagram of the governor, \cite{Sha:11}.} -\label{fig:fig15} -\end{center} -\end{figure} - -Using the model in Figure~\ref{fig:fig15} and the standard Modelica blocks, the governor model is encoded in our library as the \emph{Governor} unit. This unit has inputs as the reference power production and generator frequency that are implemented with the standard Modelica \emph{RealInput} connector. This \emph{Governor} unit also uses the standard Modelica \emph{RealOutput} connectors in order to provide output information about the turbine guide vane opening. - -In the \emph{SynchGen} unit, the user can specify the various time constants of this model (see Figure~\ref{fig:fig15}): pilot servomotor time constant $T_p$, primary servomotor integration time $T_g$, and transient droop time constant $T_r$. The user should also provide the following parameters: droop value $\sigma$, transient droop $\delta$, and nominal values for the frequency and power generation. The information about the maximum, minimum, and initial guide vane opening should also be specified. - -\section{Examples} - -Here, various models that have been assembled in the \emph{Examples} class are described. - -\subsection{HPSimple} - -In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator is not included in the model. The simple \emph{Pipe} unit is used to represent the penstock, intake and discharge races. The simple \emph{Turbine} unit is used to represent the turbine. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPSimple\_generator} - -In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling. The simple \emph{Pipe} unit is used to represent the penstock, intake and discharge races. The simple \emph{Turbine} unit is used to represent the turbine. The \emph{SimpleGen} unit is used to represent the generator. The \emph{Reservoir} unit is used to represent the reservoir and tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPSimple\_Francis} - -In this model of the hydropower system, the simplified model is used for conduits modelling. The turbine and the generator are modelled with more detailed \emph{Francis} and \emph{SynchGen} units, respectively. The simple \emph{Pipe} unit is used to represent the penstock, intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPDetailed} - -In this model of the hydropower system, the simplified models are used for conduits and turbine modelling, except for the penstock that is modelled with the more detailed \emph{PenstockKP} unit. The generator is not included in the model. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The simple \emph{Turbine} unit is used to represent the turbine. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPDetailed\_generator} - -In this model of the hydropower system, the simplified models are used for conduits, turbine, and generator modelling, except for the penstock that is modelled with the more detailed \emph{PenstockKP} unit. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The simple \emph{Turbine} unit is used to represent the turbine. The \emph{SimpleGen} unit is used to represent the generator. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPDetailed\_Francis} - -In this model of the hydropower system, the simplified model is used for conduits modelling, except for the penstock that is modelled with the more detailed \emph{PenstockKP} unit. The turbine and generator are modelled with more detailed \emph{Francis} and \emph{SynchGen} units, respectively. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). Data from the Sundsbarm hydropower plant is used for this example model. - -\subsection{HPSimple\_Francis\_IPSLGen} - -Here, the last example model (uses the \emph{PenstockKP} and \emph{Francis} units) is extended by synergy with the \emph{OpenIPSL} for generator and power system modelling. The \emph{Governor} unit from the \emph{OpenHPL} is also used here. The penstock is modelled with the more detailed \emph{PenstockKP} unit. The turbine is modelled with more detailed \emph{Francis} unit. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). - -\subsection{HPSimple\_Francis\_GridGen} - -Here, the \emph{HPDetailed\_Francis} example model (uses the \emph{PenstockKP} and \emph{Francis} units) is also extended by synergy with the \emph{OpenIPSL} for only generator modelling. The \emph{Governor} unit from the \emph{OpenHPL} is also used here. The penstock is modelled with the more detailed \emph{PenstockKP} unit. The turbine is modelled with the more detailed \emph{Francis} unit. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). - -\subsection{HPSimple\_Francis\_IPSLGenGov} - -Here, the \emph{HPDetailed\_Francis} example model (uses the \emph{PenstockKP} and \emph{Francis} units) is extended by synergy with the \emph{OpenIPSL} for generator, governor and power system modelling. The penstock is modelled with the more detailed \emph{PenstockKP} unit. The turbine is modelled with the more detailed \emph{Francis} unit. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). - -\subsection{HPSimple\_Francis\_IPSLGenInfBus} - -Here, the \emph{HPDetailed\_Francis} example model (uses the \emph{PenstockKP} and \emph{Francis} units) is extended by synergy with the \emph{OpenIPSL} for generator and power system (including infinite bus) modelling. The \emph{Governor} unit from the \emph{OpenHPL} is also used here. The penstock is modelled with the more detailed \emph{PenstockKP} unit. The turbine is modelled with the more detailed \emph{Francis} unit. The simple \emph{Pipe} unit is used to represent the intake and discharge races. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). - -\subsection{HPSimple\_OpenChannel} - -In this model of the hydropower system, the simplified models are used for conduits and turbine modelling. The generator is not included in the model. The simple \emph{Pipe} unit is used to represent the penstock and intake race. The discharge race is an open channel here, and the \emph{OpenChannel} unit is used for modelling. The simple \emph{Turbine} unit is used to represent the turbine. The \emph{Reservoir} unit is used to represent the reservoir and the tailwater (here, this unit uses a simple model of the reservoir that only depends on the water depth in the reservoir). - -\chapter{Basic example} - -Here, a basic (step-by-step) example is provided in order to show how to connect and specify elements from the \emph{OpenHPL} in a flowsheet. Furthermore, an example of how to set up the OMPython API is also presented. - -\section{Flowsheet} - -In order to create a flowsheet model for the hydropower system in OpenModelica using the \emph{OpenHPL}, the following steps should be performed: - -\begin{enumerate} - \item Create a new Modelica class that is specified as ``Model'' and assign a name for this model. Then, open this model with the ``Diagram view''. See example in Figure~\ref{fig:fig16}. - \begin{figure}[ht] - \begin{center} - \includegraphics[width=1\textwidth]{fig/Exam_1} % The printed column width is 8.4 cm. - \caption{Creating a new model in OpenModelica.} - \label{fig:fig16} - \end{center} - \end{figure} - \item Drag and drop all of the needed elements for the hydropower structure from the \emph{OpenHPL} and provide a name for each element. Then, connect the connectors of these elements between each other. See example in Figure~\ref{fig:fig17}. - \begin{figure} - \begin{center} - \includegraphics[width=1\textwidth]{fig/Exam_2} % The printed column width is 8.4 cm. - \caption{Connecting the elements of the hydropower system.} - \label{fig:fig17} - \end{center} - \end{figure} - \item Also, insert the records model ``Constants'' from the \emph{OpenHPL} with the name ``Const'' to the model in order to have control on some constants and properties that are common for all hydropower elements. As an example in case, typical initial value of the volumetric flow rate in the system for each ``Pipe'' unit can be specified. - \item Specify each of the elements with an appropriate geometry. See example for the specification of the intake race element in Figure~\ref{fig:fig18}. - \begin{figure}[ht] - \begin{center} - \includegraphics[width=0.8\textwidth]{fig/Exam_4} % The printed column width is 8.4 cm. - \caption{Specification of the elements.} - \label{fig:fig18} - \end{center} - \end{figure} - \item Provide a control signal for the turbine. To make this, you can either add a source of the ramp signal from the standard Modelica library (``Modelica.Blocks.Sources. Ramp''), or create an input variable (or just a simple variable) for the example model ``OpenHPL example'' and equate it to the turbine control input. Both possibilities are shown in Figure~\ref{fig:fig19}.\label{example_control} - \begin{figure} - \begin{center} - \includegraphics[width=1\textwidth]{fig/Exam_5} % The printed column width is 8.4 cm. - \caption{Creating a control signal for the turbine.} - \label{fig:fig19} - \end{center} - \end{figure} - \item Specify the simulation setup values and save it in the model. Then, the simulation can be carried out. See example for the simulation specification and running in Figure~\ref{fig:fig20}. - \begin{figure}[ht] - \begin{center} - \includegraphics[width=1\textwidth]{fig/Exam_6} % The printed column width is 8.4 cm. - \caption{Specifying and running simulation.} - \label{fig:fig20} - \end{center} - \end{figure} -\end{enumerate} - -\section{OMPython API} - -In order to run the simulations of the developed example hydropower model from Python, the OMPython API for OpenModelica can be used. The following steps should be performed to set up the API: - -\begin{enumerate} - \item Import the ``Modelica system'' environment form the OMPython package. Then, create an object in Python of the OpenModelica model ``OpenHPL example''. Here, the libraries that are used in the model should also be loaded to the object which in this case, is the standard Modelica library and the \emph{OpenHPL}. See an example of the code below: - \begin{lstlisting}[language = Python] - from OMPython import ModelicaSystem - hps_s = ModelicaSystem("OpenHPL_example.mo", "OpenHPL_example", ["Modelica", "OpenHPL/package.mo"]) - \end{lstlisting} - \item When the object is created, the simulation options, as well as the parameters and input variables can be specified. In order to check and specify the simulation options, the following commands can be used: - \begin{lstlisting}[language = Python] - hps_s.setSimulationOptions(stepSize=0.1, stopTime=1000) # set simulation options - hps_s.getSimulationOptions() # get list of simulation options - \end{lstlisting} - Similar commands for parameters and input variables look as follows: - \begin{lstlisting}[language = Python] - hps_s.getParameters() # get list of model parameters - hps_s.setParameters(**{"turbine.H_n":460}) # set parameter value for the turbine nominal head - hps_s.getInputs() # get list of input variables - hps_s.setInputs(u=[(0,0.75),(100,0.75),(101,0.7),(1000,0.7)]) # set input value over time as a ramp signal - \end{lstlisting} - It should be noted that here, I used the model with input variable for the control signal of the turbine (see item \#\ref{example_control} and Figure~\ref{fig:fig19} in the previous flowsheet section). - \item Run the simulation and get the results. An example of these commands are carried out as follows: - \begin{lstlisting}[language = Python] - hps_s.simulate() # run simulation - hps_s.getSolutions() # get list of solution variables - time, Vdot, p_tr1, p_tr2 = hps_s.getSolutions("time", "turbine.Vdot", "turbine.p_tr1", "turbine.p_tr2") # get results of simulation time variable, and the turbine flow rate, inlet and outlet pressures. - \end{lstlisting} - These simulation results can be then plotted using \emph{matplotlib} package. See the plots of the turbine flow rate and the pressures in Figure~\ref{fig:fig21}. - \begin{figure}[ht] - \begin{center} - \includegraphics[width=0.7\textwidth]{fig/Exam_sim} % The printed column width is 8.4 cm. - \caption{Plotting of simulation results.} - \label{fig:fig21} - \end{center} - \end{figure} - \item It is also possible to linearize the model for the future analysis. The linearization can be done with one command. However more commands can also be used to check/specify the linearization options and define the states/inputs/outputs. See the example below: - \begin{lstlisting}[language = Python] - hps_s.setLinearizationOptions(stopTime=0.1) # set a stop time for linearization (linearization is performed in this point) - hps_s.getLinearizationOptions() # get a list of the linearization options - As,Bs,Cs,Ds = hps_s.linearize() # actual linearization; defining standard A, B, C and D matrices. - hps_s.getLinearStates() # get list of states - hps_s.getLinearInputs() # get list of inputs - hps_s.getLinearOutputs() # get list of outputs - \end{lstlisting} - It should be noted that the linearized model should include the input variable which in this case is the input variable for the turbine control signal. -\end{enumerate} - -Similar to OMPython API, the running of OpenModelica models in Julia using OMJulia API can also be carried out. See the documentation of OMJulia for more information. - -\cleardoublepage - -% The bibliography should be displayed here... -\printbibliography[heading=bibintoc] -% You rather like to call the bibliography "References"? 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xnkE8QCO9J(LX04lQ=`25|Mzj~W7$jkfi2lRl|C$Q@F6XlqMV9sv9yuz{|6W7LoNUS diff --git a/OpenHPL/Resources/Documents/UsersGuide_src/listings-modelica.cfg b/OpenHPL/Resources/Documents/UsersGuide_src/listings-modelica.cfg deleted file mode 100644 index 54a2d4cd..00000000 --- a/OpenHPL/Resources/Documents/UsersGuide_src/listings-modelica.cfg +++ /dev/null @@ -1,66 +0,0 @@ -%% listings-modelica.cfg -%% Copyright 2014 Martin Sjoelund, Dietmar Winkler -% -% This work may be distributed and/or modified under the -% conditions of the LaTeX Project Public License, either version 1.3 -% of this license or (at your option) any later version. -% The latest version of this license is in -% http://www.latex-project.org/lppl.txt -% and version 1.3 or later is part of all distributions of LaTeX -% version 2005/12/01 or later. -% -% This work has the LPPL maintenance status `maintained'. -% -% The Current Maintainer of this work is Dietmar Winkler -% -% Code repository https://github.com/modelica-tools/listings-modelica -% -% This work consists of the file listings-modelica.cfg - -\lstdefinelanguage{modelica} -{ - morekeywords=[1]{ - algorithm,and,annotation,as,assert,block,break,case,class,connect,connector, - constant,constrainedby,der,discrete,each,else,elseif,elsewhen,encapsulated, - end,enumeration,equality,equation,expandable,extends,external,failure,final, - flow,for,function,guard,if,import,in,initial,inner,input,List,local,loop, - match,matchcontinue,model,not,operator,Option,or,outer,output,package,parameter, - partial,protected,public,record,redeclare,replaceable,return,stream, - subtypeof,then,Tuple,type,uniontype,when,while}, - morekeywords=[2]{true, false}, - % Do not make true,false keywords because fn(true,x, false ) shows up as fn(true,x, *false*) - morekeywords=[3]{optimization,constraint}, % Optimica keywords - morekeywords=[4]{objective,startTime,finalTime,initialGuess}, - sensitive=true, - comment=[l]//, - morecomment=[s]{/*}{*/}, - alsodigit={.,-}, - morestring=[b]', - morestring=[b]", -}[keywords,comments,strings] - -\definecolor{keywordcolor1}{rgb}{0,0,.4} -\definecolor{keywordcolor2}{rgb}{.90,0,0} -\definecolor{keywordcolor3}{rgb}{.4,0,.8} -\definecolor{keywordcolor4}{rgb}{0.5,0,0.5} -\definecolor{stringcolor}{rgb}{0.133,0.545,0.133} -% \definecolor{listingbgcolor}{rgb}{0.95,0.95,0.95} - -\lstset{ - breaklines=true, - language=modelica, - basicstyle=\ttfamily, - keywordstyle=[1]\color{keywordcolor1}\bfseries, - keywordstyle=[2]\color{keywordcolor2}, - keywordstyle=[3]\color{keywordcolor3}\bfseries, - keywordstyle=[4]\color{keywordcolor4}, - stringstyle=\color{stringcolor}, -% backgroundcolor=\color{listingbgcolor}, - framexleftmargin=5pt, - xleftmargin=5pt, - xrightmargin=5pt, - showstringspaces=false -} - -\newcommand{\code}[1]{\lstinline|#1|} -\newcommand{\modelica}[1]{\lstinline[language=modelica]|#1|} diff --git a/OpenHPL/Resources/Documents/UsersGuide.pdf b/OpenHPL/Resources/Documents/UsersGuide_v1.0.0.pdf similarity index 100% rename from OpenHPL/Resources/Documents/UsersGuide.pdf rename to OpenHPL/Resources/Documents/UsersGuide_v1.0.0.pdf diff --git a/OpenHPL/Resources/Documents/UsersGuide_v1.0.0_src.txt b/OpenHPL/Resources/Documents/UsersGuide_v1.0.0_src.txt new file mode 100644 index 00000000..2c7aae89 --- /dev/null +++ b/OpenHPL/Resources/Documents/UsersGuide_v1.0.0_src.txt @@ -0,0 +1,2 @@ +The LaTeX sources for the UsersGuide_v1.0.0.pdf were removed after the OpenHPL v3.0.1 release. +The are still present in the Git history, just switch to a point before the v3.0.1 release. From 3eb3ad9ed720904d24d57ee15a1bdaf62ead7865 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Fri, 13 Feb 2026 16:38:11 +0100 Subject: [PATCH 7/8] Fix header tag --- OpenHPL/Functions/Fitting/package.mo | 8 ++++---- OpenHPL/Interfaces/package.mo | 4 ++-- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/OpenHPL/Functions/Fitting/package.mo b/OpenHPL/Functions/Fitting/package.mo index 8ddfd92c..675432f3 100644 --- a/OpenHPL/Functions/Fitting/package.mo +++ b/OpenHPL/Functions/Fitting/package.mo @@ -22,25 +22,25 @@ Here, the dimensionless factor φ is the generalized friction factor. For a long Pressure drop equations are provided for different types of constrictions:

    -
    Square Reduction/Expansion Fittings
    +
    Square Reduction/Expansion Fittings

    \"Square \"Square

    -
    Tapered Reduction/Expansion Fittings
    +
    Tapered Reduction/Expansion Fittings

    \"Tapered \"Tapered

    -
    Rounded Reduction/Expansion Fittings
    +
    Rounded Reduction/Expansion Fittings

    \"Rounded \"Rounded

    -
    Sharp/Thick Orifice Fittings
    +
    Sharp/Thick Orifice Fittings

    \"Sharp \"Thick diff --git a/OpenHPL/Interfaces/package.mo b/OpenHPL/Interfaces/package.mo index b99828b1..dcd06071 100644 --- a/OpenHPL/Interfaces/package.mo +++ b/OpenHPL/Interfaces/package.mo @@ -30,7 +30,7 @@ end Contact; In addition, some extensions of this water flow connector are developed for better use in the library:

    -
    TwoContacts
    +
    TwoContacts

    TwoContacts is an extension from the Contact model which provides a model of two connectors of inlet and outlet contacts: @@ -42,7 +42,7 @@ partial model TwoContact \"Model of two connectors\" end TwoContact;

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-
TurbineContacts
+
TurbineContacts

TurbineContacts is an extension from TwoContacts model and provides the real input and output connectors, additionally. This model is used for turbine modelling: From b3a9f76886bac2b8dec03290974e493c3b355053 Mon Sep 17 00:00:00 2001 From: Dietmar Winkler Date: Mon, 16 Feb 2026 08:05:18 +0100 Subject: [PATCH 8/8] It makes more sense to display the info layer --- OpenHPL/Controllers/Governor.mo | 2 +- OpenHPL/Controllers/package.mo | 1 - OpenHPL/ElectroMech/BaseClasses/BaseValve.mo | 6 +++--- OpenHPL/ElectroMech/Generators/SimpleGen.mo | 2 +- OpenHPL/ElectroMech/Generators/SynchGen.mo | 2 +- OpenHPL/ElectroMech/PowerSystem/Grid.mo | 2 +- OpenHPL/ElectroMech/Turbines/Francis.mo | 2 +- OpenHPL/ElectroMech/Turbines/Pelton.mo | 2 +- OpenHPL/ElectroMech/Turbines/Turbine.mo | 2 +- OpenHPL/Functions/Fitting/FittingPhi.mo | 2 +- OpenHPL/Functions/Fitting/FittingVariants/Rounded.mo | 2 +- OpenHPL/Functions/Fitting/FittingVariants/SharpOrifice.mo | 2 +- OpenHPL/Functions/Fitting/FittingVariants/Square.mo | 2 +- OpenHPL/Functions/Fitting/FittingVariants/Tapered.mo | 2 +- OpenHPL/Functions/Fitting/FittingVariants/ThickOrifice.mo | 2 +- OpenHPL/Functions/Fitting/package.mo | 2 +- OpenHPL/Functions/KP07/KPfunctions/GhostCells.mo | 2 +- OpenHPL/Functions/KP07/KPfunctions/PieceWiseU.mo | 2 +- OpenHPL/Functions/KP07/KPfunctions/SlopeVectorS.mo | 2 +- OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipe.mo | 4 ++-- .../Functions/KP07/KPfunctions/SpeedPropagationApipeF.mo | 4 ++-- OpenHPL/Functions/KP07/package.mo | 2 +- OpenHPL/Functions/package.mo | 2 +- OpenHPL/Interfaces/package.mo | 2 +- OpenHPL/Waterway/BendPipe.mo | 2 +- OpenHPL/Waterway/DraftTube.mo | 2 +- OpenHPL/Waterway/Fitting.mo | 2 +- OpenHPL/Waterway/OpenChannel.mo | 2 +- OpenHPL/Waterway/Penstock.mo | 2 +- OpenHPL/Waterway/PenstockKP.mo | 2 +- OpenHPL/Waterway/Pipe.mo | 2 +- OpenHPL/Waterway/Reservoir.mo | 2 +- OpenHPL/Waterway/ReservoirChannel.mo | 2 +- OpenHPL/Waterway/RunOff_zones.mo | 2 +- OpenHPL/Waterway/RunOff_zones_input.mo | 2 +- OpenHPL/Waterway/SurgeTank.mo | 2 +- OpenHPL/Waterway/Valve.mo | 2 +- OpenHPL/Waterway/VolumeFlowSource.mo | 2 +- OpenHPL/Waterway/package.mo | 2 +- 39 files changed, 42 insertions(+), 43 deletions(-) diff --git a/OpenHPL/Controllers/Governor.mo b/OpenHPL/Controllers/Governor.mo index d323d0d2..2bc4dc07 100644 --- a/OpenHPL/Controllers/Governor.mo +++ b/OpenHPL/Controllers/Governor.mo @@ -126,7 +126,7 @@ equation //else // der(Y_gv) = u / T_g; //end if; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

Governor

Here, a simple model of the governor that controls the guide vane opening in the turbine based on the reference power diff --git a/OpenHPL/Controllers/package.mo b/OpenHPL/Controllers/package.mo index a0848637..9d419049 100644 --- a/OpenHPL/Controllers/package.mo +++ b/OpenHPL/Controllers/package.mo @@ -1,7 +1,6 @@ within OpenHPL; package Controllers "Collection of different controllers" extends Modelica.Icons.Package; - extends Icons.Governor; end Controllers; diff --git a/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo b/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo index 4e9ef91a..1d713837 100644 --- a/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo +++ b/OpenHPL/ElectroMech/BaseClasses/BaseValve.mo @@ -34,12 +34,12 @@ equation Vdot = mdot/data.rho; dp*(C_v_*max(epsilon, u^alpha))^2 = Vdot*abs(Vdot) "Valve equation for pressure drop"; dp = i.p - o.p "Link the pressure drop to the ports"; - annotation ( Documentation(info=" + annotation (preferredView="info", Documentation(info="

This is a partial, simple model of hydraulic valve.  

This model is based on the energy balance of a valve.

    -
  • Mass flow is equal at innflow and outflow
  • +
  • Mass flow is equal at inflow and outflow
  • The head loss and pressure difference is proportional to square of velocity

@@ -49,7 +49,7 @@ Specifically:

The function f(opening) is expressed as:

-

$$ f(\\mathrm{opening}) = \\left( C_\\mathrm{v} \\cdot \\mathrm{max}(\\epsilon, u^\\alpha\\right)^2 $$

+

$$ f(\\mathrm{opening}) = \\left( C_\\mathrm{v} \\cdot \\mathrm{max}(\\epsilon, u^\\alpha)\\right)^2 $$

When \\(\\alpha\\) is 1, this implies a linear relation between closing and head loss.

diff --git a/OpenHPL/ElectroMech/Generators/SimpleGen.mo b/OpenHPL/ElectroMech/Generators/SimpleGen.mo index 2bace845..a54648b7 100644 --- a/OpenHPL/ElectroMech/Generators/SimpleGen.mo +++ b/OpenHPL/ElectroMech/Generators/SimpleGen.mo @@ -13,7 +13,7 @@ model SimpleGen "Model of a simple generator with mechanical connectors" rotation=270, origin={0,120}))); - annotation ( + annotation (preferredView="info", Documentation(info= "

Simple Generator Model

Simple model of an ideal generator with friction based on angular momentum balance.

diff --git a/OpenHPL/ElectroMech/Generators/SynchGen.mo b/OpenHPL/ElectroMech/Generators/SynchGen.mo index d7cadf1c..b1cd614e 100644 --- a/OpenHPL/ElectroMech/Generators/SynchGen.mo +++ b/OpenHPL/ElectroMech/Generators/SynchGen.mo @@ -108,7 +108,7 @@ equation der(w) = (Wdot_ts - Pe) / (J * w); // - W_fa; // - annotation ( + annotation (preferredView="info", Documentation(info= "

Synchronous Generator Model

Detailed synchronous generator model connected to the grid, based on d-q decomposition.

diff --git a/OpenHPL/ElectroMech/PowerSystem/Grid.mo b/OpenHPL/ElectroMech/PowerSystem/Grid.mo index 6e71a359..210c57df 100644 --- a/OpenHPL/ElectroMech/PowerSystem/Grid.mo +++ b/OpenHPL/ElectroMech/PowerSystem/Grid.mo @@ -49,7 +49,7 @@ equation connect(product.y, dP2.u1) annotation (Line(points={{-13.5,67},{-8,67},{-8,33.6},{-12.8,33.6}}, color={0,0,127})); connect(toHz.u, w_m2pu.y) annotation (Line(points={{5.2,-50},{84,-50},{84,-40},{78.6,-40}}, color={0,0,127})); connect(toHz.y, dF.u1) annotation (Line(points={{-8.6,-50},{-22,-50}}, color={0,0,127})); - annotation ( + annotation (preferredView="info", Documentation(info="

Primary control

Network Power-Frequency Characteristic
diff --git a/OpenHPL/ElectroMech/Turbines/Francis.mo b/OpenHPL/ElectroMech/Turbines/Francis.mo index 2fd9a8b4..dbffb458 100644 --- a/OpenHPL/ElectroMech/Turbines/Francis.mo +++ b/OpenHPL/ElectroMech/Turbines/Francis.mo @@ -212,7 +212,7 @@ equation mdot=i.mdot; connect(p_out, P_out) annotation (Line(points={{40,90},{40,110}}, color={0,0,127})); - annotation ( + annotation (preferredView="info", Documentation(info="

Francis Turbine Model

diff --git a/OpenHPL/ElectroMech/Turbines/Pelton.mo b/OpenHPL/ElectroMech/Turbines/Pelton.mo index 1cdfd3fd..0b019562 100644 --- a/OpenHPL/ElectroMech/Turbines/Pelton.mo +++ b/OpenHPL/ElectroMech/Turbines/Pelton.mo @@ -56,7 +56,7 @@ equation mdot=i.mdot; connect(p_out, P_out) annotation (Line(points={{40,90},{40,110}}, color={0,0,127})); - annotation ( + annotation (preferredView="info", Documentation(info="

Pelton Turbine Model

Mechanistic Pelton turbine model based on the Euler turbine equation and impulse turbine principles.

diff --git a/OpenHPL/ElectroMech/Turbines/Turbine.mo b/OpenHPL/ElectroMech/Turbines/Turbine.mo index e2bc9010..fca25597 100644 --- a/OpenHPL/ElectroMech/Turbines/Turbine.mo +++ b/OpenHPL/ElectroMech/Turbines/Turbine.mo @@ -43,7 +43,7 @@ equation connect(lossCorrection.u1, power.y) annotation (Line(points={{-48,80},{-88,80},{-88,30},{-81,30}},color={0,0,127})); connect(frictionLoss.power, lossCorrection.u2) annotation (Line(points={{-1,12},{-40,12},{-40,72}},color={0,0,127})); connect(u_t, u) annotation (Line(points={{-80,120},{-80,90},{0,90},{0,70}},color={0,0,127})); - annotation ( + annotation (preferredView="info", Documentation(info="

Simple Turbine Model

diff --git a/OpenHPL/Functions/Fitting/FittingPhi.mo b/OpenHPL/Functions/Fitting/FittingPhi.mo index b75276e0..02402778 100644 --- a/OpenHPL/Functions/Fitting/FittingPhi.mo +++ b/OpenHPL/Functions/Fitting/FittingPhi.mo @@ -48,7 +48,7 @@ algorithm D_o, L); end if; - annotation ( + annotation (preferredView="info", Documentation(info = "

Define dimension factor φ for different types of fittings.

")); diff --git a/OpenHPL/Functions/Fitting/FittingVariants/Rounded.mo b/OpenHPL/Functions/Fitting/FittingVariants/Rounded.mo index 99baeac3..c7411e57 100644 --- a/OpenHPL/Functions/Fitting/FittingVariants/Rounded.mo +++ b/OpenHPL/Functions/Fitting/FittingVariants/Rounded.mo @@ -13,7 +13,7 @@ algorithm /* Rounded Expansion (same as Square Expansion) */ phi := Square(N_Re,p_eps,D_i,D_o); end if; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

Define dimension factor φ for Rounded Reduction. Rounded Expansion is the same as Squared Expansion.

diff --git a/OpenHPL/Functions/Fitting/FittingVariants/SharpOrifice.mo b/OpenHPL/Functions/Fitting/FittingVariants/SharpOrifice.mo index 0fbe0141..c94c0a2b 100644 --- a/OpenHPL/Functions/Fitting/FittingVariants/SharpOrifice.mo +++ b/OpenHPL/Functions/Fitting/FittingVariants/SharpOrifice.mo @@ -14,7 +14,7 @@ algorithm else phi := (2.72 + (D_o / D_i) ^ 2 * 4000 / (N_Re + Modelica.Constants.eps)) * phi_0; end if; - annotation ( + annotation (preferredView="info", Documentation(info="

Calculates the dimension factor φ for Sharp Orifice.

diff --git a/OpenHPL/Functions/Fitting/FittingVariants/Square.mo b/OpenHPL/Functions/Fitting/FittingVariants/Square.mo index 987e47a0..2f7625f9 100644 --- a/OpenHPL/Functions/Fitting/FittingVariants/Square.mo +++ b/OpenHPL/Functions/Fitting/FittingVariants/Square.mo @@ -24,7 +24,7 @@ algorithm phi := (1 + 0.8*f_D)*(1 - (D_i/D_o)^2)^2; end if; end if; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

Calculates the dimension factor φ for square reduction/expansion.

diff --git a/OpenHPL/Functions/Fitting/FittingVariants/Tapered.mo b/OpenHPL/Functions/Fitting/FittingVariants/Tapered.mo index 2f2dc02e..0f8d3d0b 100644 --- a/OpenHPL/Functions/Fitting/FittingVariants/Tapered.mo +++ b/OpenHPL/Functions/Fitting/FittingVariants/Tapered.mo @@ -36,7 +36,7 @@ algorithm phi := Square(N_Re,p_eps,D_i,D_o); end if; end if; - annotation ( + annotation (preferredView="info", Documentation(info="

Calculates the dimension factor φ for Tapered reduction/expansion. The tapered angle θ should be specified.

diff --git a/OpenHPL/Functions/Fitting/FittingVariants/ThickOrifice.mo b/OpenHPL/Functions/Fitting/FittingVariants/ThickOrifice.mo index 5cd2588d..13e1b8d3 100644 --- a/OpenHPL/Functions/Fitting/FittingVariants/ThickOrifice.mo +++ b/OpenHPL/Functions/Fitting/FittingVariants/ThickOrifice.mo @@ -13,7 +13,7 @@ algorithm if L / D_o <= 5 then phi := (0.584 + 0.0936 / ((L / D_o) ^ 1.5 + 0.225)) * phi_0; end if; - annotation ( + annotation (preferredView="info", Documentation(info="

Define dimension factor φ for Thick Orifice. Orifice length should be provided and this length should not be greater than 5Do.

diff --git a/OpenHPL/Functions/Fitting/package.mo b/OpenHPL/Functions/Fitting/package.mo index 675432f3..afb28ae7 100644 --- a/OpenHPL/Functions/Fitting/package.mo +++ b/OpenHPL/Functions/Fitting/package.mo @@ -2,7 +2,7 @@ within OpenHPL.Functions; package Fitting "Functions for pipe fitting" extends Modelica.Icons.UtilitiesPackage; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

Fitting

The functions for defining the pressure drop in various pipe fittings are described here. Due to different diff --git a/OpenHPL/Functions/KP07/KPfunctions/GhostCells.mo b/OpenHPL/Functions/KP07/KPfunctions/GhostCells.mo index f1d6e0a1..c2efd748 100644 --- a/OpenHPL/Functions/KP07/KPfunctions/GhostCells.mo +++ b/OpenHPL/Functions/KP07/KPfunctions/GhostCells.mo @@ -27,7 +27,7 @@ equation p_[3:N + 2] = p; mdot_[3:N + 2] = mdot; U_ = vector([p_; mdot_]); - annotation ( + annotation (preferredView="info", Documentation(info="

The model for defining the ghost cells. It can be observed that for a given jth cell, information from the neighbouring cells j-1 and j-2 (to the left) and j+1 and j+2 (to the right) are required for calculating the flux integrals.

diff --git a/OpenHPL/Functions/KP07/KPfunctions/PieceWiseU.mo b/OpenHPL/Functions/KP07/KPfunctions/PieceWiseU.mo index 809027e3..e721550f 100644 --- a/OpenHPL/Functions/KP07/KPfunctions/PieceWiseU.mo +++ b/OpenHPL/Functions/KP07/KPfunctions/PieceWiseU.mo @@ -32,7 +32,7 @@ equation U_pp[2, N] = if bounCon[2, 2] then boun[2, 2] else mdot_ghosts[N + 3] - dx * s[2, N + 2] / 2; // output vector U_ U_ = [U_mp; U_pp; U_mm; U_pm]; - annotation ( + annotation (preferredView="info", Documentation(info="

The piecewise linear reconstruction model, where the values of the left and the right interfaces of the cell (j-1/2 and j+1/2) at the right(+)/left(-) point values are defined.

diff --git a/OpenHPL/Functions/KP07/KPfunctions/SlopeVectorS.mo b/OpenHPL/Functions/KP07/KPfunctions/SlopeVectorS.mo index b549a680..cc95dece 100644 --- a/OpenHPL/Functions/KP07/KPfunctions/SlopeVectorS.mo +++ b/OpenHPL/Functions/KP07/KPfunctions/SlopeVectorS.mo @@ -33,7 +33,7 @@ equation // s[2,i] = 0; // end if; end for; - annotation ( + annotation (preferredView="info", Documentation(info="

The model for defining the slope sj of the reconstructed function in each cell, which is computed using a limiter function to obtain a non-oscillatory nature of the reconstruction. The KP07 scheme utilizes the generalized minmod limiter:

diff --git a/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipe.mo b/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipe.mo index 9d072dba..4c7b3e51 100644 --- a/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipe.mo +++ b/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipe.mo @@ -14,9 +14,9 @@ equation a_pm[i] = max(max(lamda1[i, 4], lamda1[i, 3]), 0); end for; A = [a_mp, a_pp, a_mm, a_pm]; - annotation ( + annotation (preferredView="info", Documentation(info=" -

The mode lfor defining the the one-sided local speed of propagations. Estimated as the largest and the smallest eigen values of the Jacobian of the system.

+

The model for defining the the one-sided local speed of propagations. Estimated as the largest and the smallest eigen values of the Jacobian of the system.

")); end SpeedPropagationApipe; diff --git a/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipeF.mo b/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipeF.mo index 45dd842d..6e0564ae 100644 --- a/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipeF.mo +++ b/OpenHPL/Functions/KP07/KPfunctions/SpeedPropagationApipeF.mo @@ -15,8 +15,8 @@ algorithm a_pm[i] := max(max(lamda1[i, 4], lamda1[i, 3]), 0); end for; A := [a_mp, a_pp, a_mm, a_pm]; - annotation ( + annotation (preferredView="info", Documentation(info = " -

The mode lfor defining the the one-sided local speed of propagations. Estimated as the largest and the smallest eigen values of the Jacobian of the system.

+

The model for defining the the one-sided local speed of propagations. Estimated as the largest and the smallest eigen values of the Jacobian of the system.

")); end SpeedPropagationApipeF; diff --git a/OpenHPL/Functions/KP07/package.mo b/OpenHPL/Functions/KP07/package.mo index f13de8d3..985d08f0 100644 --- a/OpenHPL/Functions/KP07/package.mo +++ b/OpenHPL/Functions/KP07/package.mo @@ -2,7 +2,7 @@ within OpenHPL.Functions; package KP07 "Methods for KP07 scheme" extends Modelica.Icons.UtilitiesPackage; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

KP Scheme

Functions for solving PDEs in Modelica are described here. The Kurganov-Petrova (KP) scheme is a diff --git a/OpenHPL/Functions/package.mo b/OpenHPL/Functions/package.mo index c1dae152..7341a000 100644 --- a/OpenHPL/Functions/package.mo +++ b/OpenHPL/Functions/package.mo @@ -2,7 +2,7 @@ within OpenHPL; package Functions "Functions and methods" extends Modelica.Icons.FunctionsPackage; - annotation ( + annotation (preferredView="info", Documentation(info = "

Functions and methods for modelling different components of the hydropower system.

")); diff --git a/OpenHPL/Interfaces/package.mo b/OpenHPL/Interfaces/package.mo index dcd06071..48cf0099 100644 --- a/OpenHPL/Interfaces/package.mo +++ b/OpenHPL/Interfaces/package.mo @@ -1,7 +1,7 @@ within OpenHPL; package Interfaces "Basic interface components" extends Modelica.Icons.InterfacesPackage; -annotation (Documentation(info=" +annotation (preferredView="info", Documentation(info="

Interfaces

In the OpenHPL, diff --git a/OpenHPL/Waterway/BendPipe.mo b/OpenHPL/Waterway/BendPipe.mo index 71a08e80..1ca6a35d 100644 --- a/OpenHPL/Waterway/BendPipe.mo +++ b/OpenHPL/Waterway/BendPipe.mo @@ -23,7 +23,7 @@ equation o.p = i.p - dp "Pressure of the output connector"; i.mdot + o.mdot = 0 "Mass balance"; mdot = i.mdot "Flow direction"; - annotation ( + annotation (preferredView="info", Documentation(info="

Usually minor head losses in pipes are considered to be due to fittings, diffusers, nozzles, bend in pipes, etc. We are more interested in head loss due to bend pipes for this model.

A typical loss coefficient value for flanged and threaded elbows, tees, gates, valves, etc., can be taken as,

diff --git a/OpenHPL/Waterway/DraftTube.mo b/OpenHPL/Waterway/DraftTube.mo index 3407c0fb..d4baad0f 100644 --- a/OpenHPL/Waterway/DraftTube.mo +++ b/OpenHPL/Waterway/DraftTube.mo @@ -153,7 +153,7 @@ equation p_o = o.p; i.mdot+o.mdot=0; mdot = i.mdot; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

Two of the draft tubes are modeled using Momentum balance. They are:

    diff --git a/OpenHPL/Waterway/Fitting.mo b/OpenHPL/Waterway/Fitting.mo index 087c916e..2f124392 100644 --- a/OpenHPL/Waterway/Fitting.mo +++ b/OpenHPL/Waterway/Fitting.mo @@ -53,7 +53,7 @@ equation o.p = i.p - dp "Pressure of the output connector"; i.mdot+o.mdot = 0 "Mass balance"; mdot = i.mdot "Flow direction"; - annotation ( + annotation (preferredView="info", Documentation(info="

    Various possibilities of the fittings for the pipes with different diameters and also the orifices in the pipe. diff --git a/OpenHPL/Waterway/OpenChannel.mo b/OpenHPL/Waterway/OpenChannel.mo index ba3da439..f797f523 100644 --- a/OpenHPL/Waterway/OpenChannel.mo +++ b/OpenHPL/Waterway/OpenChannel.mo @@ -39,7 +39,7 @@ equation // presurre boundaries i.p = h[1] * data.g * data.rho + data.p_a; o.p = h[N] * data.g * data.rho + data.p_a; - annotation ( + annotation (preferredView="info", Documentation(info="

    Note: Currently under investigation for plausibility.

    diff --git a/OpenHPL/Waterway/Penstock.mo b/OpenHPL/Waterway/Penstock.mo index f6bdf193..9102b542 100644 --- a/OpenHPL/Waterway/Penstock.mo +++ b/OpenHPL/Waterway/Penstock.mo @@ -83,7 +83,7 @@ equation // volumetric flow rates for all cells V_p_out = mdot ./ rho_m; V_p_out_end = mdot_V / (data.rho * (1 + data.beta * (p_o - data.p_a))); - annotation ( + annotation (preferredView="info", Documentation(info="

    This is a more detaied model of the pipe that can be use for proper modeling of penstock. (This model does not work well. Instead PenstockKP model can be used.)

    The model for the penstock with the elastic walls and compressible water with simple discretization method (Staggered grid). The geometry of the penstock is described due to figure:

    Conservation laws are usually solved by Finite-volume methods. With the Finite volume method, we divide the grid into small control volumes or control cells and then apply the conservation laws. The discretization method is based on Staggered grid scheme, where the penstock is divided in N segments, with input and output pressure as a boundary conditions. Can be describe as the follow figure:

    diff --git a/OpenHPL/Waterway/PenstockKP.mo b/OpenHPL/Waterway/PenstockKP.mo index f44be7a4..46bb60f4 100644 --- a/OpenHPL/Waterway/PenstockKP.mo +++ b/OpenHPL/Waterway/PenstockKP.mo @@ -115,7 +115,7 @@ equation S_[N + 1:2 * N] = F_ap * data.g * H / L - F_f / dx; // diff. equation der(U) = KP.diff_eq; - annotation ( + annotation (preferredView="info", Documentation(info="

    Elastic Penstock with KP Method

    diff --git a/OpenHPL/Waterway/Pipe.mo b/OpenHPL/Waterway/Pipe.mo index 75fecf8b..43bb94f7 100644 --- a/OpenHPL/Waterway/Pipe.mo +++ b/OpenHPL/Waterway/Pipe.mo @@ -72,7 +72,7 @@ equation i.mdot+o.mdot = 0 "Mass balance"; mdot = i.mdot "Inlet direction for mdot"; - annotation ( + annotation (preferredView="info", Documentation(info="

    Simple Pipe Model

    diff --git a/OpenHPL/Waterway/Reservoir.mo b/OpenHPL/Waterway/Reservoir.mo index 1d68793a..f91de1e2 100644 --- a/OpenHPL/Waterway/Reservoir.mo +++ b/OpenHPL/Waterway/Reservoir.mo @@ -78,7 +78,7 @@ equation o.mdot = -data.rho * Vdot_o "Output flow connector"; //o.T = T_0 "TBD: Output temperature connector"; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

    Reservoir Model

    Simple model of the reservoir with different options for modeling the water source of a hydropower system.

    diff --git a/OpenHPL/Waterway/ReservoirChannel.mo b/OpenHPL/Waterway/ReservoirChannel.mo index b37f215a..bb346452 100644 --- a/OpenHPL/Waterway/ReservoirChannel.mo +++ b/OpenHPL/Waterway/ReservoirChannel.mo @@ -31,7 +31,7 @@ equation o.mdot =-q*W*data.rho; o.p = data.p_a + data.rho * data.g * openChannel.h[N]; annotation ( - Documentation(info=" + Documentation(preferredView="info", info="

    Reservoir Channel Model

    A more detailed reservoir model based on the open channel model, where the channel bed is assumed to be flat (no slope).

    diff --git a/OpenHPL/Waterway/RunOff_zones.mo b/OpenHPL/Waterway/RunOff_zones.mo index 5eaf3a93..3cbb2264 100644 --- a/OpenHPL/Waterway/RunOff_zones.mo +++ b/OpenHPL/Waterway/RunOff_zones.mo @@ -107,7 +107,7 @@ equation F_e = (flow_var.y[1] - Vdot_tot) ^ 2; R2 = 1 - F_e / F_o; Vdot_runoff = Vdot_tot; - annotation ( + annotation (preferredView="info", Documentation(info="

    Similar to many other hydrological models, the HBV model is based on the land phase of the hydrological (water) cycle. diff --git a/OpenHPL/Waterway/RunOff_zones_input.mo b/OpenHPL/Waterway/RunOff_zones_input.mo index 6eb6b453..dfd42497 100644 --- a/OpenHPL/Waterway/RunOff_zones_input.mo +++ b/OpenHPL/Waterway/RunOff_zones_input.mo @@ -80,7 +80,7 @@ equation F_e = (flow_var - Vdot_tot) ^ 2; R2 = 1 - F_e / F_o; Vdot_runoff = Vdot_tot; - annotation ( + annotation (preferredView="info", Documentation(info="

    This is the same hydrology model that is based on the HBV hydrological model.

    This model can be used to define the inflow (runoff) to the reservoir. diff --git a/OpenHPL/Waterway/SurgeTank.mo b/OpenHPL/Waterway/SurgeTank.mo index fb20b8d5..0241a4f6 100644 --- a/OpenHPL/Waterway/SurgeTank.mo +++ b/OpenHPL/Waterway/SurgeTank.mo @@ -137,7 +137,7 @@ equation i.p = o.p "Inlet and outlet pressure equality"; mdot = i.mdot+o.mdot "Mass balance"; F_g = m * data.g * cos_theta; - annotation ( + annotation (preferredView="info", Documentation(info="

    Surge Tank Model

    diff --git a/OpenHPL/Waterway/Valve.mo b/OpenHPL/Waterway/Valve.mo index 66006f6b..8503f59f 100644 --- a/OpenHPL/Waterway/Valve.mo +++ b/OpenHPL/Waterway/Valve.mo @@ -14,7 +14,7 @@ model Valve "Simple hydraulic valve" origin={0,80}))); equation connect(opening, u) annotation (Line(points={{0,120},{0,70}}, color={0,0,127})); - annotation ( + annotation (preferredView="info", Documentation(info="

    Hydraulic Valve Model

    diff --git a/OpenHPL/Waterway/VolumeFlowSource.mo b/OpenHPL/Waterway/VolumeFlowSource.mo index 5cde485c..33a37720 100644 --- a/OpenHPL/Waterway/VolumeFlowSource.mo +++ b/OpenHPL/Waterway/VolumeFlowSource.mo @@ -53,7 +53,7 @@ equation points={{-39,-20},{10,-20}}, color={0,0,127}, pattern=LinePattern.Dot)); - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info=" Can be used as an ideal volume flow source. Either with a fixed volume flow defined by Vdot_0 or via the input connector inFlow. In addition the input can be passed through a first order filter which is sometimes necessary diff --git a/OpenHPL/Waterway/package.mo b/OpenHPL/Waterway/package.mo index 49b4c08c..90f9a7bd 100644 --- a/OpenHPL/Waterway/package.mo +++ b/OpenHPL/Waterway/package.mo @@ -2,7 +2,7 @@ within OpenHPL; package Waterway "Different components of the hydropower system" extends OpenHPL.Icons.Water; - annotation (Documentation(info=" + annotation (preferredView="info", Documentation(info="

    Waterway Models

    A typical structure of the waterway of the hydropower system includes reservoirs, conduits (intake race,

Squared Reduction:

+OpenHPL.ElectroMech.PowerSystem.Grid, +OpenHPL.ElectroMech.PowerSystem.MCB, +OpenHPL.Controllers.Governor, +OpenHPL.ElectroMech.Generators.SimpleGen +