From 6a355746b64f90ed4ca0f4cf17756503f6210946 Mon Sep 17 00:00:00 2001 From: Francesco Casella Date: Mon, 11 May 2015 18:45:58 +0200 Subject: [PATCH] Loaded version 1.0.0 from Kaan Sezginer's work --- .gitattributes | 14 + README.md | 27 +- .../Electrical/TransmissionLine.mo | 473 +++++++++++ ScalableTestSuite/Electrical/package.mo | 3 + ScalableTestSuite/Electrical/package.order | 1 + ScalableTestSuite/Mechanical/FlexibleBeam.mo | 334 ++++++++ ScalableTestSuite/Mechanical/Strings.mo | 134 ++++ ScalableTestSuite/Mechanical/package.mo | 4 + ScalableTestSuite/Mechanical/package.order | 2 + .../Docs/2015_04_SEZGINER_Thesis.pdf | Bin 0 -> 1643045 bytes .../Resources/Images/FlexibleBeam/Ak.PNG | Bin 0 -> 6841 bytes .../Resources/Images/FlexibleBeam/PDE.PNG | Bin 0 -> 1829 bytes .../Resources/Images/FlexibleBeam/Thumbs.db | Bin 0 -> 101888 bytes .../Images/FlexibleBeam/boundary.PNG | Bin 0 -> 3282 bytes .../Images/FlexibleBeam/characteristic.PNG | Bin 0 -> 2228 bytes 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ScalableTestSuite/Thermal/package.order | 2 + ScalableTestSuite/package.mo | 50 ++ ScalableTestSuite/package.order | 3 + 65 files changed, 2341 insertions(+), 2 deletions(-) create mode 100644 .gitattributes create mode 100644 ScalableTestSuite/Electrical/TransmissionLine.mo create mode 100644 ScalableTestSuite/Electrical/package.mo create mode 100644 ScalableTestSuite/Electrical/package.order create mode 100644 ScalableTestSuite/Mechanical/FlexibleBeam.mo create mode 100644 ScalableTestSuite/Mechanical/Strings.mo create mode 100644 ScalableTestSuite/Mechanical/package.mo create mode 100644 ScalableTestSuite/Mechanical/package.order create mode 100644 ScalableTestSuite/Resources/Docs/2015_04_SEZGINER_Thesis.pdf create mode 100644 ScalableTestSuite/Resources/Images/FlexibleBeam/Ak.PNG create mode 100644 ScalableTestSuite/Resources/Images/FlexibleBeam/PDE.PNG create mode 100644 ScalableTestSuite/Resources/Images/FlexibleBeam/Thumbs.db create mode 100644 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ScalableTestSuite/Thermal/HeatExchanger.mo create mode 100644 ScalableTestSuite/Thermal/package.mo create mode 100644 ScalableTestSuite/Thermal/package.order create mode 100644 ScalableTestSuite/package.mo create mode 100644 ScalableTestSuite/package.order diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..98d6800 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,14 @@ +# Do not change the line endings by default +* -text + +# Explicitly declare text files we want to always be normalized and converted +# to native line endings on checkout. +*.c text +*.h text +*.mo text +*.mos text +*.order text +.gitattributes text +.gitignore text +*.md text +LICENSE text diff --git a/README.md b/README.md index 32125ce..fed70e1 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,25 @@ -# ScalableTestSuite -A suite of scalable Modelica test models +ScalableTestSuite +================= +A suite of scalable Modelica test models for tool development and evaluation + +## Library description + +This library contains a collection of Modelica models whose size can be scaled by means of integer parameter(s). This is useful to test the ability of Modelica tools to compile and simulate models of increasing size efficiently. + +## Current release + +1.0.0-dev. + +## License + +The libray is released under Modelica License 2. + +## Development and contribution +The library was developed by Politecnico di Milano +Contributors: +- Kaan Sezginer +- Francesco Casella + +You may report any issues with using the [Issues](../../issues) button. + +Contributions in shape of [Pull Requests](../../pulls) are always welcome. diff --git a/ScalableTestSuite/Electrical/TransmissionLine.mo b/ScalableTestSuite/Electrical/TransmissionLine.mo new file mode 100644 index 0000000..d9ac553 --- /dev/null +++ b/ScalableTestSuite/Electrical/TransmissionLine.mo @@ -0,0 +1,473 @@ +within ScalableTestSuite.Electrical; +package TransmissionLine "Models of transmission lines" + package Models + model TransmissionLine "Modular model of an electrical transmission line" + import Modelica.SIunits; + import Modelica.Electrical.Analog; + SIunits.Voltage vpg "voltage of pin p of the transmission line"; + SIunits.Voltage vng "voltage of pin n of the transmission line"; + SIunits.Current ipin_p + "current flows through pin p of the transmission line"; + SIunits.Current ipin_n + "current flows through pin n of the transmission line"; + Analog.Interfaces.Pin pin_p annotation(Placement(visible = true, transformation(origin = {-100, 0}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {-100, 0}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Analog.Interfaces.Pin pin_n annotation(Placement(visible = true, transformation(origin = {100, 0}, extent = {{-10, -10}, {10, 10}}, rotation = 0), iconTransformation(origin = {100, 0}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Analog.Interfaces.Pin pin_ground "pin of the ground"; + Analog.Basic.Ground ground "ground of the transmission line"; + parameter Integer N = 1 "number of segments"; + parameter Real r "resistance per meter"; + parameter Real l "inductance per meter"; + parameter Real c "capacitance per meter"; + parameter Real length "length of tranmission line"; + Analog.Basic.Inductor L[N](L = fill(l * length / N, N)) "N inductors"; + Analog.Basic.Capacitor C[N](C = fill(c * length / N, N)) "N capacitors"; + Analog.Basic.Resistor R[N](R = fill(r * length / N, N)) "N resistors"; + initial equation + for i in 1:N loop + C[i].v = 0; + L[i].i = 0; + end for; + equation + vpg = pin_p.v - pin_ground.v; + vng = pin_n.v - pin_ground.v; + ipin_p = pin_p.i; + ipin_n = pin_n.i; + connect(pin_p, R[1].p); + for i in 1:N loop + connect(R[i].n, L[i].p); + connect(C[i].p, L[i].n); + connect(C[i].n, pin_ground); + end for; + for i in 1:N - 1 loop + connect(L[i].n, R[i + 1].p); + end for; + connect(L[N].n, pin_n); + connect(pin_ground, ground.p); + annotation(Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}), graphics={ Rectangle(origin = {-0.17, -0.18}, fillColor = {0, 0, 255}, + fillPattern = FillPattern.HorizontalCylinder, extent = {{-99.82, 99.82}, {99.82, -99.82}}), Text(origin = {0.76, 7.01}, lineColor = {170, 0, 0}, fillColor = {0, 170, 0}, extent = {{-72.61, 47.88}, {72.61, -47.88}}, textString = "Transmission Line")}), Documentation(info = "

In the figure, it is given an example of the transmission line that is implemented which consists of a resistor, an inductor and a capacitor within each segment. Moreover, transmission line is implemented by connecting each segment together. In the figure, resistor1, inductor1 and capacitor1 describes the first segment and it is connected to second segment which has the same components as the first segment and so on. It transmits the electrical signal from a source to a load.

+ + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of segments
rresistance per meter
linductance per meter
ccapacitance per meter
lengthlength of the transmission line
+")); + end TransmissionLine; + + model TransmissionLineEquations + "Transmission line circuit - Direct implementation by equations" + import Modelica.SIunits; + parameter Integer N = 1 "number of segments"; + parameter SIunits.Length L "length of the transmission line"; + final parameter SIunits.Length l = L / N "length of the each segment"; + parameter SIunits.Resistance res "resistance per meter"; + parameter SIunits.Capacitance cap "capacitance per meter"; + parameter SIunits.Inductance ind "inductance per meter"; + final parameter SIunits.Resistance RL = (ind / cap) ^ (1 / 2) + "load resistance"; + parameter SIunits.AngularFrequency w; + final parameter SIunits.Time TD = L / v + "time delay of the transmission line"; + final parameter SIunits.Velocity v = 1 / (ind * cap) ^ (1 / 2) + "velocity of the signal"; + SIunits.Voltage Vstep = if time > 0 then 1 else 0 "input step voltage"; + SIunits.Current cur[N](each start = 0) + "current values at the nodes of the transmission line"; + SIunits.Voltage vol[N](each start = 0) + "voltage values at the nodes of the transmission line"; + Real vvol "derivative of input voltage"; + equation + vvol = der(vol[1]); + //Vstep = vol[1] + 2 * Rf * Cf * der(vol[1]) + Rf ^ 2 * Cf ^ 2 * der(vvol); + Vstep = vol[1] + 2 * (1 / w) * der(vol[1]) + 1 / w ^ 2 * der(vvol); + vol[N] = cur[N] * RL; + for i in 1:N - 1 loop + cap * der(vol[i + 1]) = (cur[i] - cur[i + 1]) / l; + ind * der(cur[i]) = (-res * cur[i]) - (vol[i + 1] - vol[i]) / l; + end for; + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6), Documentation(info = "

In this model, a transmission line circuit is implemented by equations. Transmission line circuit is represented as in the figure below. The application is the same as the TransmissionLineModelica model.

Considering the nodes of the discrete transmission line(implemented in Electrical.Models.TransmissionLine), circuit equations are described. In the transmission line, there are N segments, therefore, there will be N+1 nodes and N+1 voltage and current variables.

where j= 2,..,N and Rx is the resistance per meter, Cx is the capacitance per meter and Lx is the inductance per meter.

output voltage is described as:

Moreover, considering the form of the second order low pass filter, equation of the filter to a step input can be defined in the following way:

where Vstep is the step voltage and v1is the output voltage of the filter. The parameters of the TransmissionLineEquations are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of segments
Llength of transmission line
llength of each segment
resresistor per meter
capcapacitance per meter
indinductance per meter
RLload resistance
wangular frequency
TDtime delay of transmission line
vvelocity of signal
+")); + end TransmissionLineEquations; + + model TransmissionLineModelica + "Transmission line circuit - Implementation using the Modelica Standard Library" + import Modelica.SIunits; + parameter Integer N = 1 "number of segments of the transmission line"; + parameter SIunits.Resistance r "resistance per meter"; + parameter SIunits.Inductance l "inductance per meter"; + parameter SIunits.Capacitance c "capacitance per meter"; + parameter SIunits.Length length "length of the transmission line"; + parameter SIunits.AngularFrequency w "cut-off frequnecy"; + final parameter SIunits.Resistance RL = (l / c) ^ (1 / 2) + "load resistance"; + final parameter SIunits.Time TD = length / v + "time delay of the transmission line"; + final parameter SIunits.Velocity v = 1 / (l * c) ^ (1 / 2) + "velocity of the signal"; + Modelica.Electrical.Analog.Sources.SignalVoltage signalvoltage annotation(Placement(visible = true, transformation(origin = {-34, 54}, extent = {{-10, -10}, {10, 10}}, rotation = 180))); + Modelica.Electrical.Analog.Basic.Ground ground1 annotation(Placement(visible = true, transformation(origin = {-56, 40}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Modelica.Blocks.Continuous.SecondOrder lowpassfilter(w = w, D = 1) annotation(Placement(visible = true, transformation(origin = {-50, 14}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Modelica.Blocks.Sources.Step step annotation(Placement(visible = true, transformation(origin = {-84, 14}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Models.TransmissionLine transmissionline(N = N, r = r, l = l, c = c, length = length) annotation(Placement(visible = true, transformation(origin = {-6, 54}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Modelica.Electrical.Analog.Basic.Resistor resistor(R = RL) annotation(Placement(visible = true, transformation(origin = {26, 54}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + Modelica.Electrical.Analog.Basic.Ground ground2 annotation(Placement(visible = true, transformation(origin = {54, 40}, extent = {{-10, -10}, {10, 10}}, rotation = 0))); + equation + connect(resistor.n, ground2.p) annotation(Line(points = {{36, 54}, {54, 54}, {54, 50}}, color = {0, 0, 255})); + connect(transmissionline.pin_n, resistor.p) annotation(Line(points = {{4, 54}, {16, 54}}, color = {0, 0, 255})); + connect(signalvoltage.p, transmissionline.pin_p) annotation(Line(points = {{-24, 54}, {-16, 54}}, color = {0, 0, 255})); + connect(step.y, lowpassfilter.u) annotation(Line(points = {{-73, 14}, {-62, 14}}, color = {0, 0, 127})); + connect(lowpassfilter.y, signalvoltage.v) annotation(Line(points = {{-39, 14}, {-34, 14}, {-34, 47}}, color = {0, 0, 127})); + connect(ground1.p, signalvoltage.n) annotation(Line(points = {{-56, 50}, {-56, 54}, {-44, 54}}, color = {0, 0, 255})); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6), Documentation(info = "

In this model, a transmission line circuit is implemented by the Modelica Standard Library components. Transmission line circuit is represented as in the figure below. The application is the same as TransmissionLineEquations.

The parameters for the TransmissionLineModelica are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of segments
rresistance per meter
linductance per meter
ccapacitance per meter
lengthlength of the transmission line
wcut-off frequency
RLload resistance
TDtime delay of the transmission line
vvelocity of signal
+")); + end TransmissionLineModelica; + end Models; + + package Verification + model TransmissionLineCheck + "Verification of the transmission line circuits by using time delay" + import Modelica.SIunits; + parameter Integer N = 30 "number of segments"; + parameter SIunits.Length L = 100 "length of the transmission line"; + parameter SIunits.Resistance res = 48e-6 "resistance per meter"; + parameter SIunits.Capacitance cap = 101e-12 "capacitance per meter"; + parameter SIunits.Inductance ind = 253e-9 "inductance per meter"; + parameter SIunits.Resistance RL = (ind / cap) ^ (1 / 2) "load resistance"; + parameter SIunits.AngularFrequency w = 5e6 "cut-off frequency"; + parameter SIunits.Time TD = L / v "time delay of the transmission line"; + parameter SIunits.Velocity v = 1 / (ind * cap) ^ (1 / 2) + "velocity of the signal"; + Models.TransmissionLineEquations tlm2(N = N, L = L, res = res, cap = cap, ind = ind, w = w); + Models.TransmissionLineModelica tlm1(N = N, r = res, l = ind, c = cap, length = L, w = w); + SIunits.Voltage voltage_modelica; + SIunits.Voltage voltage_equations; + SIunits.Voltage voltage_modelica_delayed; + SIunits.Voltage voltage_equations_delayed; + equation + voltage_modelica = tlm1.resistor.p.v; + voltage_equations = tlm2.vol[N]; + voltage_equations_delayed = delay(tlm2.vol[1], TD); + voltage_modelica_delayed = delay(tlm1.signalvoltage.p.v, TD); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6), Documentation(info = "

In this model, the verification of the TransmissionLineModelica and the TransmissionLineEquations are performed.The formula of the time delay is used for the verification of the implemented transmission line circuit models to check whether the time delay of the models satisfies the theoretical one. Time delay between the ends of a transmission line can be calculated as follows:

Therefore, using the time delay formula, input voltages of the both models are delayed by the theoretical time delay. Moreover, it is checked whether the output voltages of the transmission line circuit models are matching with the delayed input voltages.

The parameters for the TransmissionLineCheck are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of segments
Llength of the transmission line
resresistance per meter
capcapacitance per meter
indinductance per meter
RLload resistance
wcut-off frequency
TDtime delay of the transmission line
vvelocity of the signal
+")); + end TransmissionLineCheck; + end Verification; + + package ScaledExperiments "Experiments with different scale factors" + extends Modelica.Icons.ExamplesPackage; + + model TransmissionLineEquations_N_10 + extends Models.TransmissionLineEquations(N = 10, L = 100, res = 48e-6, cap = 101e-12, ind = 253e-9, w = 1 / 2e-7); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_10; + + model TransmissionLineEquations_N_20 + extends TransmissionLineEquations_N_10(N = 20); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_20; + + model TransmissionLineEquations_N_40 + extends TransmissionLineEquations_N_10(N = 40); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_40; + + model TransmissionLineEquations_N_80 + extends TransmissionLineEquations_N_10(N = 80); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_80; + + model TransmissionLineEquations_N_160 + extends TransmissionLineEquations_N_10(N = 160); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_160; + + model TransmissionLineEquations_N_320 + extends TransmissionLineEquations_N_10(N = 320); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_320; + + model TransmissionLineEquations_N_640 + extends TransmissionLineEquations_N_10(N = 640); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_640; + + model TransmissionLineEquations_N_1280 + extends TransmissionLineEquations_N_10(N = 1280); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineEquations_N_1280; + + model TransmissionLineModelica_N_10 + extends Models.TransmissionLineModelica(N = 10, r = 48e-6, c = 101e-12, l = 253e-9, length = 100, w = 1 / 2e-7); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_10; + + model TransmissionLineModelica_N_20 + extends TransmissionLineModelica_N_10(N = 20); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_20; + + model TransmissionLineModelica_N_40 + extends TransmissionLineModelica_N_10(N = 40); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_40; + + model TransmissionLineModelica_N_80 + extends TransmissionLineModelica_N_10(N = 80); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_80; + + model TransmissionLineModelica_N_160 + extends TransmissionLineModelica_N_10(N = 160); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_160; + + model TransmissionLineModelica_N_320 + extends TransmissionLineModelica_N_10(N = 320); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_320; + + model TransmissionLineModelica_N_640 + extends TransmissionLineModelica_N_10(N = 640); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_640; + + model TransmissionLineModelica_N_1280 + extends TransmissionLineModelica_N_10(N = 1280); + annotation(experiment(StopTime = 4e-6, Tolerance = 1e-6)); + end TransmissionLineModelica_N_1280; + annotation(Documentation(info = "

In this package there are 16 tests for different N values; 8 for the TransmissionLineModelica and 8 for the TransmissionLineEquations.

The tests for the both models are performed according to the N values as shown in the table below:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + +
N
10
20
40
80
160
320
640
1280

Parameters for TransmissionLineEquations:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
N10,20,40,80,160,320,640,1280
L100
res48e-6
cap101e-12
ind253e-9
w5e6

Parameters for TransmissionLineModelica:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
N10,20,40,80,160,320,640,1280
r48e-6
c101e-12
l253e-9
length100
w5e6

")); + end ScaledExperiments; + annotation(Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}))); +end TransmissionLine; diff --git a/ScalableTestSuite/Electrical/package.mo b/ScalableTestSuite/Electrical/package.mo new file mode 100644 index 0000000..8be339c --- /dev/null +++ b/ScalableTestSuite/Electrical/package.mo @@ -0,0 +1,3 @@ +within ScalableTestSuite; +package Electrical "Models from the electrical domain" +end Electrical; diff --git a/ScalableTestSuite/Electrical/package.order b/ScalableTestSuite/Electrical/package.order new file mode 100644 index 0000000..2e69b85 --- /dev/null +++ b/ScalableTestSuite/Electrical/package.order @@ -0,0 +1 @@ +TransmissionLine diff --git a/ScalableTestSuite/Mechanical/FlexibleBeam.mo b/ScalableTestSuite/Mechanical/FlexibleBeam.mo new file mode 100644 index 0000000..d3fe7a1 --- /dev/null +++ b/ScalableTestSuite/Mechanical/FlexibleBeam.mo @@ -0,0 +1,334 @@ +within ScalableTestSuite.Mechanical; +package FlexibleBeam "Models of flexible beams" + package Models + model FlexibleBeamModelica + "Cantilever beam implementation by the Modelica Standard Library" + import Modelica.SIunits; + inner Modelica.Mechanics.MultiBody.World world(gravityType = Modelica.Mechanics.MultiBody.Types.GravityTypes.NoGravity); + parameter Integer N = 1 "number of elements"; + parameter SIunits.Length L "length of the beam"; + final parameter SIunits.Length l = L / N "length of the each BodyBox"; + parameter SIunits.Length W "width of the beam"; + parameter SIunits.Height H "height of the beam"; + parameter SIunits.Density D "density of the material"; + parameter SIunits.ModulusOfElasticity E "young's modulus of the material"; + final parameter SIunits.SecondMomentOfArea J = W * H ^ 3 / 12 + "area moment of inertia"; + parameter SIunits.RotationalDampingConstant DampCoeff + "damping coefficient"; + final parameter SIunits.RotationalSpringConstant SpringCoeff = E * J / l + "spring coefficient"; + parameter SIunits.PerUnit F "force component at y-axis"; + Modelica.Mechanics.MultiBody.Joints.Revolute revolute[N](each useAxisFlange = true) + "N revolute joint"; + Modelica.Mechanics.Rotational.Components.SpringDamper springdamper[N](each c = SpringCoeff, each d = DampCoeff) + "N spring damper to connect to N revolute"; + Modelica.Mechanics.MultiBody.Parts.BodyBox bodybox1(length = l / 2, width = W, height = H, r = {l / 2, 0, 0}, density = D) + "first bodybox connected to world"; + Modelica.Mechanics.MultiBody.Parts.BodyBox bodyboxN(length = l / 2, width = W, height = H, r = {l / 2, 0, 0}, density = D) + "last bodybox which is free end"; + Modelica.Mechanics.MultiBody.Parts.BodyBox bodybox[N - 1](each length = l, each width = W, each height = H, each r = {l, 0, 0}, each density = D) + "discretization of the element"; + Modelica.Mechanics.MultiBody.Forces.WorldForce force(resolveInFrame = Modelica.Mechanics.MultiBody.Types.ResolveInFrameB.world) + "force component"; + equation + force.force = if time < 0.001 then {0, 0, 0} else if time < 0.002 then {0, F, 0} else {0, 0, 0}; + connect(world.frame_b, bodybox1.frame_a); + connect(bodybox1.frame_b, revolute[1].frame_a); + for i in 1:N loop + connect(revolute[i].axis, springdamper[i].flange_b); + connect(revolute[i].support, springdamper[i].flange_a); + end for; + for i in 1:N - 1 loop + connect(revolute[i].frame_b, bodybox[i].frame_a); + connect(bodybox[i].frame_b, revolute[i + 1].frame_a); + end for; + connect(revolute[N].frame_b, bodyboxN.frame_a); + connect(bodyboxN.frame_b, force.frame_b); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6), Documentation(info = "

The flexible beam is created using the Modelica.Mechanics.MultiBody library components. Flexible beam is approximated by the rigid bodies and joints coupled with springs and dampers. Flexible beam is discretized into N+1 body boxes and N revolute joints which provides the flexibility features to the model. And, N spring-damper components are placed to the revolute joints. The spring stiffness coefficients are determined depending on the material properties and the geometry of the flexible beam while damping coefficients are taken very small. +Modeling was adopted from the paper “Modeling Flexible Bodies in SimMechanics” by Victor Chudnovsky, Arnav Mukherjee, Jeff Wendlandt and Dallas Kennedy which was intended for MATLAB and Simulink environment.

+The flexible beam is discretized into elements, and a single element is considered to be consisted of 2 body boxes and a revolute joint between these body boxes. If we assign length l to a single element, each body box in this element will have the length of l/2. By connecting each element together a flexible beam is obtained. Each element along the length of the beam is taken to be identical, therefore, the flexibility of the beam is uniform along its length. A single element of the flexible beam is as in the figure below.

A flexible beam containing 2 elements is as shown in the figure below:

A force is applied for a period of time at the tip of the flexible beam in order to create vibration. Parameters for the FlexibleBeamModelica:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of elements
Llength of the flexible beam
llength of each bodybox
Wwidth of the beam
Hheigth of the beam
Ddensity of the material
Eyoung's modulus of the material
Jarea moment of inertia
DampCoeffrotational damping constant
SpringCoeffrotational spring constant
Fforce component at y-axis
+")); + end FlexibleBeamModelica; + end Models; + + package Verification + model FlexibleBeamCheck "cantilever beam analytical solution" + import Modelica.SIunits; + parameter Integer N = 10 "number of elements"; + parameter SIunits.Length L = 0.5 "length of the beam"; + parameter SIunits.Length W = 0.05 "width of the beam"; + parameter SIunits.Height H = 0.02 "height of the beam"; + parameter SIunits.Density D = 2700 "density of the material"; + parameter SIunits.ModulusOfElasticity E = 6.9e10 + "young's modulus of the material"; + parameter SIunits.RotationalDampingConstant DampCoeff = 0.00001 + "damping coefficient"; + parameter SIunits.PerUnit F = -100 "Force component at y-axis"; + parameter SIunits.SecondMomentOfArea J = W * H ^ 3 / 12 + "area moment of inertia"; + + function f + input Real t "Time"; + input Real force "force"; + input Real m " linear mass of the material"; + input Real length "length of the beam"; + input Real EE "young's modulus of the material"; + input Real JJ "area moment of inertia"; + input Real beta1L = 1.875 + "first root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta2L = 4.694 + "second root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta3L = 7.855 + "third root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta4L = 10.955 + "fourth root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta5L = 14.1371 + "fifth root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta6L = 17.2787 + "sixth root of the function cos(betaL)cosh(betaL)+1=0"; + input Real beta1 = beta1L / length "first beta"; + input Real beta2 = beta2L / length "second beta"; + input Real beta3 = beta3L / length "third beta"; + input Real beta4 = beta4L / length "fourth beta"; + input Real beta5 = beta5L / length "fifth beta"; + input Real beta6 = beta6L / length "sixth beta"; + input SIunits.PerUnit A1 = 4 * force * length / (EE * JJ * (m / length) * beta1 ^ 4 * (sin(beta1L) * exp(beta1L) + exp(2 * beta1L) - 1)) * (3 * sin(beta1L) * (exp(2 * beta1L) + 1) - 2 * beta1L ^ 3 * exp(beta1L) + cos(beta1L) * (3 - beta1L ^ 3 * (exp(2 * beta1L) + 1) - 3 * exp(2 * beta1L))) + "amplitude of first cos function"; + input SIunits.PerUnit A2 = 4 * force * length / (EE * JJ * (m / length) * beta2 ^ 4 * (sin(beta2L) * exp(beta2L) + exp(2 * beta2L) - 1)) * (3 * sin(beta2L) * (exp(2 * beta2L) + 1) - 2 * beta2L ^ 3 * exp(beta2L) + cos(beta2L) * (3 - beta2L ^ 3 * (exp(2 * beta2L) + 1) - 3 * exp(2 * beta2L))) + "amplitude of second cos function"; + input SIunits.PerUnit A3 = 4 * force * length / (EE * JJ * (m / length) * beta3 ^ 4 * (sin(beta3L) * exp(beta3L) + exp(2 * beta3L) - 1)) * (3 * sin(beta3L) * (exp(2 * beta3L) + 1) - 2 * beta3L ^ 3 * exp(beta3L) + cos(beta3L) * (3 - beta3L ^ 3 * (exp(2 * beta3L) + 1) - 3 * exp(2 * beta3L))) + "amplitude of third function"; + input SIunits.PerUnit A4 = 4 * force * length / (EE * JJ * (m / length) * beta4 ^ 4 * (sin(beta4L) * exp(beta4L) + exp(2 * beta4L) - 1)) * (3 * sin(beta4L) * (exp(2 * beta4L) + 1) - 2 * beta4L ^ 3 * exp(beta4L) + cos(beta4L) * (3 - beta4L ^ 3 * (exp(2 * beta4L) + 1) - 3 * exp(2 * beta4L))) + "amplitude of fourth function"; + input SIunits.PerUnit A5 = 4 * force * length / (EE * JJ * (m / length) * beta5 ^ 4 * (sin(beta5L) * exp(beta5L) + exp(2 * beta5L) - 1)) * (3 * sin(beta5L) * (exp(2 * beta5L) + 1) - 2 * beta5L ^ 3 * exp(beta5L) + cos(beta5L) * (3 - beta5L ^ 3 * (exp(2 * beta5L) + 1) - 3 * exp(2 * beta5L))) + "amplitude of fifth cos function"; + input SIunits.PerUnit A6 = 4 * force * length / (EE * JJ * (m / length) * beta6 ^ 4 * (sin(beta6L) * exp(beta6L) + exp(2 * beta6L) - 1)) * (3 * sin(beta6L) * (exp(2 * beta6L) + 1) - 2 * beta6L ^ 3 * exp(beta6L) + cos(beta6L) * (3 - beta6L ^ 3 * (exp(2 * beta6L) + 1) - 3 * exp(2 * beta6L))) + "amplitude of sixth cos function"; + input SIunits.Length x = length + "a distance between 0 and length L of the beam"; + input SIunits.AngularFrequency wk1 = (EE * JJ / m) ^ (1 / 2) * beta1 ^ 2 + "1st natural frequency"; + input SIunits.AngularFrequency wk2 = (EE * JJ / m) ^ (1 / 2) * beta2 ^ 2 + "2nd natural frequency"; + input SIunits.AngularFrequency wk3 = (EE * JJ / m) ^ (1 / 2) * beta3 ^ 2 + "3rd natural frequency"; + input SIunits.AngularFrequency wk4 = (EE * JJ / m) ^ (1 / 2) * beta4 ^ 2 + "4th natural frequency"; + input SIunits.AngularFrequency wk5 = (EE * JJ / m) ^ (1 / 2) * beta5 ^ 2 + "5th natural frequency"; + input SIunits.AngularFrequency wk6 = (EE * JJ / m) ^ (1 / 2) * beta6 ^ 2 + "6th natural frequency"; + input Real shape1 = A1 / 2 * ((-cosh(beta1 * x)) + cos(beta1 * x) + ((-cos(beta1L)) - cosh(beta1L)) * (sin(beta1 * x) - sinh(beta1 * x)) / (sin(beta1L) - sinh(beta1L))); + input Real shape2 = A2 / 2 * ((-cosh(beta2 * x)) + cos(beta2 * x) + ((-cos(beta2L)) - cosh(beta2L)) * (sin(beta2 * x) - sinh(beta2 * x)) / (sin(beta2L) - sinh(beta2L))); + input Real shape3 = A3 / 2 * ((-cosh(beta3 * x)) + cos(beta3 * x) + ((-cos(beta3L)) - cosh(beta3L)) * (sin(beta3 * x) - sinh(beta3 * x)) / (sin(beta3L) - sinh(beta3L))); + input Real shape4 = A4 / 2 * ((-cosh(beta4 * x)) + cos(beta4 * x) + ((-cos(beta4L)) - cosh(beta4L)) * (sin(beta4 * x) - sinh(beta4 * x)) / (sin(beta4L) - sinh(beta4L))); + input Real shape5 = A5 / 2 * ((-cosh(beta5 * x)) + cos(beta5 * x) + ((-cos(beta5L)) - cosh(beta5L)) * (sin(beta5 * x) - sinh(beta5 * x)) / (sin(beta5L) - sinh(beta5L))); + input Real shape6 = A6 / 2 * ((-cosh(beta6 * x)) + cos(beta6 * x) + ((-cos(beta6L)) - cosh(beta6L)) * (sin(beta6 * x) - sinh(beta6 * x)) / (sin(beta6L) - sinh(beta6L))); + output Real w; + algorithm + w := shape1 * cos(wk1 * t); + //+ shape2 * cos(wk2 * t) + shape3 * cos(wk3 * t) + shape4 * cos(wk4 * t) + shape5 * cos(wk5 * t) + shape6 * cos(wk6 * t); + end f; + + Models.FlexibleBeamModelica beammod(N = N, L = L, W = W, H = H, D = D, E = E, DampCoeff = DampCoeff, F = F); + SIunits.Length beam_exact; + SIunits.Length beam_modelica; + equation + beam_modelica = beammod.bodyboxN.frame_b.r_0[2] + "displacement of the free end of the flexible beam"; + beam_exact = f(time, F, W * H * D, L, E, J) + "displacement of the free end of the analytical solution"; + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6), Documentation(info = "

In the model, FlexibleBeamModelica is verified by an analytical solution in terms of the vibration frequency of the free end of the flexible beam. In this model, vibration of the free end of FlexibleBeamModelica and analytical solution are implemented. +

ANALYTICAL SOLUTION:

The partial differential equation describing the motion of the infinitesimal element is:

where m is the linear mass, w is the displacement, E is the young’s modulus and J is the area moment of inertia.

Assuming a stationary solution of the bending motion in the form:

where α(x) is a function of space alone describing the waveform of the stationary vibration and β(x) is a time dependent vibration amplitude coefficient.

By placing the stationary solution w(x,t) into the PDE and later defining:

The natural frequencies and the modes of vibration of a beam in bending depend on physical parameters such as length, section, material and also boundary conditions. For the cantilever beam, there are four boundary conditions, two for the clamped end x=0 and two for the free end x=l.

The general solution becomes a linear combination of trigonometric equations:

and after placing the boundary conditions into the function α(x), we reduce the function into a new form. Moreover, from the boundary conditions it is obtained: A=C=0 and;

Thus, it can be written in the form:

where B=1/2. Moreover, with the boundary conditions, we obtain the frequency equation for the cantilever beam:

We have infinite number of solutions for. And, we obtain the natural frequencies by using the equation:

By solving the frequency equation, obtained values for the first 6 modes are given in the table below:

Therefore, for each frequency, there is a characteristic vibration:

An approximation for Ak is given below according to P which is force. It is calculated as if the beam starts vibration at t=0.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Nnumber of elements
Llength of the flexible beam
Wwidth of the beam
Hheigth of the beam
Ddensity of the material
Eyoung's modulus of the material
DampCoeffrotational damping constant
Fforce component at y-axis
Jarea moment of inertia
+")); + end FlexibleBeamCheck; + end Verification; + + package ScaledExperiments + extends Modelica.Icons.ExamplesPackage; + + model FlexibleBeamModelica_N_2 + extends Models.FlexibleBeamModelica(N = 2, L = 0.5, W = 0.05, H = 0.02, D = 2700, E = 6.9e10, DampCoeff = 0.00001, F = -100); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_2; + + model FlexibleBeamModelica_N_4 + extends FlexibleBeamModelica_N_2(N = 4); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_4; + + model FlexibleBeamModelica_N_8 + extends FlexibleBeamModelica_N_2(N = 8); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_8; + + model FlexibleBeamModelica_N_16 + extends FlexibleBeamModelica_N_2(N = 16); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_16; + + model FlexibleBeamModelica_N_32 + extends FlexibleBeamModelica_N_2(N = 32); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_32; + + model FlexibleBeamModelica_N_64 + extends FlexibleBeamModelica_N_2(N = 64); + annotation(experiment(StopTime = 0.15, Tolerance = 1e-6)); + end FlexibleBeamModelica_N_64; + annotation(Documentation(info = "

In this package there are 6 tests for FlexibleBeamModelica for different N values.

The tests are performed according to the N values as shown in the table below:

+ + + + + + + + + + + + + + + + + + + + + +
N
2
4
8
16
32
64

Parameters for FlexibleBeamModelica:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
N2,4,8,16,32,64
L0.5
W0.05
H0.02
D2700
E6.9e10
DampCoeff0.00001
F-100

")); + end ScaledExperiments; + annotation(Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}))); +end FlexibleBeam; diff --git a/ScalableTestSuite/Mechanical/Strings.mo b/ScalableTestSuite/Mechanical/Strings.mo new file mode 100644 index 0000000..07ad083 --- /dev/null +++ b/ScalableTestSuite/Mechanical/Strings.mo @@ -0,0 +1,134 @@ +within ScalableTestSuite.Mechanical; +package Strings "Models of strings suspended in a gravitational field" + package Models + model StringModelica + import Modelica.SIunits; + parameter Integer N = 1 "number of joints"; + parameter SIunits.Length L "length of the string"; + final parameter SIunits.Length l = L / (N + 1) "length of each bodbox"; + parameter SIunits.RotationalDampingConstant damping "damping coefficient"; + parameter SIunits.Length W "width of the beam"; + parameter SIunits.Height H "height of the beam"; + parameter SIunits.Density D "density of the material"; + inner Modelica.Mechanics.MultiBody.World world(gravityType = Modelica.Mechanics.MultiBody.Types.GravityTypes.UniformGravity, n = {1, 0, 0}) + "uniform gravity on x-axis"; + Modelica.Mechanics.MultiBody.Joints.Revolute revolute[N](each useAxisFlange = true) + "N revolute joints"; + Modelica.Mechanics.Rotational.Components.Damper damper[N](each d = damping) + "N dampers"; + Modelica.Mechanics.MultiBody.Joints.Prismatic prismatic1(useAxisFlange = true, n = {0, 1, 0}, boxWidthDirection = {0, 1, 0}) + "prismatic joint moves along y-axis"; + Modelica.Blocks.Sources.Pulse pulse1(amplitude = 0.01, period = 0.5, nperiod = 1, startTime = 0.1) + "pulse input"; + Modelica.Mechanics.MultiBody.Parts.BodyBox bodybox[N + 1](each r = {l, 0, 0}, each length = l, each width = W, each height = H, each density = D) + "N+1 bodybox"; + Modelica.Mechanics.Translational.Sources.Position position1(useSupport = true, f_crit = 2) + "position component to move prismatic joint"; + equation + connect(world.frame_b, prismatic1.frame_a); + connect(pulse1.y, position1.s_ref); + connect(position1.support, prismatic1.support); + connect(position1.flange, prismatic1.axis); + connect(prismatic1.frame_b, bodybox[1].frame_a); + for i in 1:N loop + connect(bodybox[i].frame_b, revolute[i].frame_a); + connect(revolute[i].frame_b, bodybox[i + 1].frame_a); + connect(damper[i].flange_a, revolute[i].support); + connect(damper[i].flange_b, revolute[i].axis); + end for; + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6), Documentation(info = "

The string is modeled by considering the behavior of a travelling wave on a string. The prescribed transversal displacement at one end creates a wave on the string. From one end of the string model, a pulse is given and a travelling wave is observed along the string and it is modeled by using MultiBody library.

In order to be able to observe the characteristics of a string, a pulse is given on the horizontal axis and while there is a uniform gravity on the vertical axis, movement of the pulse is observed along the created model. The main idea is to see a movement of the rigid bodies such that reflects a travelling wave when a pulse is applied from one end of the string model. +The main body of the string is created by body boxes and revolute joints coupled with dampers. The travelling wave is determined by the coupling between inertia and tension due to gravity. Moreover, by using necessary components of MSL a pulse is applied to the string.With the world component gravity is applied on the vertical axis. The prismatic joint is coupled with a position component which provides a horizontal movement to the prismatic joint. And, position component is controlled with a pulse input which has 1 period. A string model example is given below.

An example of a string model is given when N=2 where N corresponds to the number of revolute joints in the model, therefore, there are N+1 body boxes. Position component enables one to filter the input signal in order to eliminate the high frequency components. Hence, in the string model, pulse signal is filtered by the position component in order to provide a slow pulse to the string and by that way the response of the body boxes is observed.

+")); + end StringModelica; + end Models; + + package Verification + end Verification; + + package ScaledExperiments + extends Modelica.Icons.ExamplesPackage; + + model StringModelica_N_2 + extends Models.StringModelica(N = 2, L = 0.5, damping = 1e-5, W = 0.001, H = 0.001, D = 2000); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_2; + + model StringModelica_N_4 + extends StringModelica_N_2(N = 4); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_4; + + model StringModelica_N_8 + extends StringModelica_N_2(N = 8); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_8; + + model StringModelica_N_16 + extends StringModelica_N_2(N = 16); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_16; + + model StringModelica_N_32 + extends StringModelica_N_2(N = 32); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_32; + + model StringModelica_N_64 + extends StringModelica_N_2(N = 64); + annotation(experiment(StopTime = 0.8, Tolerance = 1e-6)); + end StringModelica_N_64; + annotation(Documentation(info = "

In this package there are 6 tests for StringModelica for different N values.

The tests are performed according to the N values as shown in the table below:

+ + + + + + + + + + + + + + + + + + + + + +
N
2
4
8
16
32
64

Parameters for StringModelica:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
N2,4,8,16,32,64
L0.5
damping1e-5
W0.001
H0.001
D2000

")); + end ScaledExperiments; + annotation(Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}))); +end Strings; diff --git a/ScalableTestSuite/Mechanical/package.mo b/ScalableTestSuite/Mechanical/package.mo new file mode 100644 index 0000000..6d940c8 --- /dev/null +++ b/ScalableTestSuite/Mechanical/package.mo @@ -0,0 +1,4 @@ +within ScalableTestSuite; +package Mechanical "Models from the mechanical domain" + +end Mechanical; diff --git a/ScalableTestSuite/Mechanical/package.order b/ScalableTestSuite/Mechanical/package.order new file mode 100644 index 0000000..a02fcfc --- /dev/null +++ b/ScalableTestSuite/Mechanical/package.order @@ -0,0 +1,2 @@ +FlexibleBeam +Strings diff --git a/ScalableTestSuite/Resources/Docs/2015_04_SEZGINER_Thesis.pdf 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A uniform rod has the length L, density ρ, specific heat capacity cp and thermal conductivity λ which are all assumed to be constant. Moreover, the sides of the rod are assumed to be insulated. In HeatConductionTI, one end is exposed to a fixed temperature while the other end is insulated. We considered a small portion of the rod which has a width of dx from a distance x, and by considering the conservation of energy the equations are defined. According to the conservation of energy, difference between the heat in from left boundary and heat out from the right boundary has to be equal to the heat change at the portion at Δx in time Δt.

The discretized equations are described in the following form:

where i = 2,..,N−1 and they correspond to the temperature nodes along the rod excluding the temperature variables at the ends. In HeatConductionTI, TN has a constant temperature value and T1 is insulated. T1 has a boundary condition defined as:

The parameters for HeatConductionTI_FD are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
LLength of the rod
Nnumber of nodes
T0Initial temperature
TNtemperature at the last node
cpmaterial specific heat capacity
lambdamaterial thermal conductivity
rhomaterial density
dxelement length
+")); + end OneDHeatTransferTI_FD; + + model OneDHeatTransferTI_Modelica + "one end at a fixed temperature, one end is insulated; implemented by MSL" + import Modelica.SIunits; + import Modelica.Thermal; + parameter SIunits.Length L "Length"; + parameter Integer N = 2 "Number of nodes"; + parameter SIunits.SpecificHeatCapacity cp "Material Heat Capacity"; + parameter SIunits.Density rho "Material Density"; + final parameter SIunits.Mass m = rho * v "mass"; + final parameter SIunits.Volume v = L * A "volume of the rod"; + parameter SIunits.ThermalConductivity lambda + "Material thermal conductivity"; + parameter SIunits.Area A "Area"; + parameter SIunits.Temperature T0 + "Initial temperature of the heatcapacitors"; + parameter SIunits.Temperature TN "fixed temperature at the last node"; + Thermal.HeatTransfer.Sources.FixedTemperature fixedtemperature(T = TN) + "fixed temperature at the last node"; + Thermal.HeatTransfer.Components.ThermalConductor thermalconductor[N - 1](each G = lambda * A / (L / (N - 1))) + "thermal conductors"; + Thermal.HeatTransfer.Components.HeatCapacitor heatcapacitor[N - 1](each C = cp * m / (N - 1)) + "heat capacitors"; + initial equation + for i in 1:N - 1 loop + heatcapacitor[i].T = T0; + end for; + equation + connect(fixedtemperature.port, thermalconductor[N - 1].port_b); + connect(thermalconductor[N - 1].port_a, heatcapacitor[N - 1].port); + for i in 1:N - 2 loop + connect(heatcapacitor[i].port, thermalconductor[i].port_a); + connect(thermalconductor[i].port_b, heatcapacitor[i + 1].port); + end for; + annotation(experiment(StopTime = 1500, Tolerance = 1e-6), Documentation(info = "

A HeatConductionTI model with N=4 nodes is shown above, in the same manner a larger model can be created. In the model, at each heat capacitor, a capacitance is defined which varies according to the mass. Moreover, between each heat capacitor a thermal conductor is placed which transports the heat without storing it.

For the each thermal conductor element, the conductance for a box geometry under the assumption that the heat flows along the box length is calculated as follows: G = lambda * A / (L / (N - 1)). Heat capacity of the heat capacitors is calculated as follows: C = cp * m / (N - 1)

The parameters for HeatConductionTI_Modelica are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the rod
Nnumber of nodes
cpmaterial specific heat capacity
rhomaterial density
mmass of the rod
vvolume of the rod
lambdamaterial thermal conductivity
Across section area of the rod
T0Initial temperature
TNtemperature at the last node
+")); + end OneDHeatTransferTI_Modelica; + + model OneDHeatTransferTT_FD + "Both ends are exposed to a fixed temperature, implemented by FD method" + import Modelica.SIunits; + parameter SIunits.Length L "length"; + parameter Integer N = 2 "number of nodes"; + parameter SIunits.Temperature T0 "Initial temperature"; + parameter SIunits.Temperature T1 "Initial temperature at first node"; + parameter SIunits.Temperature TN "Initial temperature at the last node"; + parameter SIunits.SpecificHeatCapacity cp "Material Heat Capacity"; + parameter SIunits.ThermalConductivity lambda + "Material thermal conductivity"; + parameter SIunits.Density rho "Material Density"; + final parameter Modelica.SIunits.Length dx = L / (N - 1) "Element length"; + SIunits.Temperature T[N] "temperature of the nodes"; + initial equation + for i in 2:N - 1 loop + T[i] = T0; + end for; + equation + T[1] = T1; + T[N] = TN; + for i in 2:N - 1 loop + der(T[i]) = lambda * ((T[i - 1] - T[i]) / dx + ((-T[i]) + T[i + 1]) / dx) / cp / rho / dx; + end for; + annotation(experiment(StopTime = 350, Tolerance = 1e-6), Documentation(info = "

A uniform rod has the length L, density ρ, specific heat capacity cp and thermal conductivity λ which are all assumed to be constant. Moreover, the sides of the rod are assumed to be insulated. In HeatConductionTT, both ends are exposed to a fixed temperature. We considered a small portion of the rod which has a width of dx from a distance x, and by considering the conservation of energy the equations are defined. According to the conservation of energy, difference between the heat in from left boundary and heat out from the right boundary has to be equal to the heat change at the portion at Δx in time Δt.

The discretized equations are described in the following form:

where i = 2,..,N−1 and they correspond to the temperature nodes along the rod excluding the temperature variables at the ends. In HeatConductionTT, T1 and TN have constant temperature values.

The parameters for HeatConductionTT_FD are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
LLength of the rod
Nnumber of nodes
T0Initial temperature
T1temperature at the first node
TNtemperature at the last node
cpmaterial specific heat capacity
lambdamaterial thermal conductivity
rhomaterial density
dxelement length
+")); + end OneDHeatTransferTT_FD; + + model OneDHeatTransferTT_Modelica + "both ends at a fixed temperature implemented by MSL" + import Modelica.SIunits; + import Modelica.Thermal; + parameter SIunits.Length L "Length"; + parameter Integer N = 3 "Number of nodes"; + parameter SIunits.SpecificHeatCapacity cp "Material Heat Capacity"; + parameter Modelica.SIunits.Density rho "Material Density"; + parameter SIunits.Area A "area"; + final parameter SIunits.Mass m = rho * v "Mass"; + final parameter SIunits.Volume v = L * A; + parameter SIunits.ThermalConductivity lambda + "Material thermal conductivity"; + parameter SIunits.Temperature T0 + "Initial temperature of the heat capacitors"; + parameter SIunits.Temperature T1 "fixed temperature at the first node"; + parameter SIunits.Temperature TN "fixed temperature at the last node"; + Thermal.HeatTransfer.Sources.FixedTemperature fixedtemperature1(T = T1) + "fixed temperature at the first node"; + Thermal.HeatTransfer.Sources.FixedTemperature fixedtemperatureN(T = TN) + "fixed temperature at the last node"; + Thermal.HeatTransfer.Components.ThermalConductor thermalconductor[N - 1](each G = lambda * A / (L / (N - 1))) + "thermal conductors"; + Thermal.HeatTransfer.Components.HeatCapacitor heatcapacitor[N - 2](each C = cp * m / (N - 2)) + "heat capacitors"; + initial equation + for i in 1:N - 2 loop + heatcapacitor[i].T = T0; + end for; + equation + connect(fixedtemperature1.port, thermalconductor[1].port_a); + connect(thermalconductor[1].port_b, heatcapacitor[1].port); + connect(heatcapacitor[N - 2].port, thermalconductor[N - 1].port_a); + connect(thermalconductor[N - 1].port_b, fixedtemperatureN.port); + for i in 1:N - 3 loop + connect(thermalconductor[i + 1].port_a, heatcapacitor[i].port); + connect(thermalconductor[i + 1].port_b, heatcapacitor[i + 1].port); + end for; + annotation(experiment(StopTime = 350, Tolerance = 1e-6), Documentation(info = "

A HeatConductionTT model with N=5 nodes is shown above, in the same manner a larger model can be created. In the model, at each heat capacitor, a capacitance is defined which varies according to the mass. Moreover, between each heat capacitor a thermal conductor is placed which transports the heat without storing it.

For the each thermal conductor element, the conductance for a box geometry under the assumption that the heat flows along the box length is calculated as follows: G = lambda * A / (L / (N - 1)). Heat capacity of the heat capacitors is calculated as follows: C = cp * m / (N - 2)

The parameters for HeatConductionTT_Modelica are:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the rod
Nnumber of nodes
cpmaterial specific heat capacity
rhomaterial density
Across section area of the rod
mmass of the rod
vvolume of the rod
lambdamaterial thermal conductivity
T0Initial temperature of the heat capacitors
T1fixed temperature at the first node
TNfixed temperature at the last node
+")); + end OneDHeatTransferTT_Modelica; + end Models; + + package Verification + model OneDHeatTransferTI_Check "analytical solution for TI models" + import Modelica.SIunits; + parameter SIunits.Length L = 0.2 "Length of the rod"; + parameter Integer N = 30 "Number of nodes"; + parameter SIunits.Temperature TN = 330 + "Fixed temperature at the last node"; + parameter SIunits.Temperature T0 = 273.15 "Initial temperature"; + parameter SIunits.SpecificHeatCapacity cp = 910 "Material Heat Capacity"; + parameter SIunits.ThermalConductivity lambda = 237 + "Material thermal conductivity"; + parameter SIunits.Density rho = 2712 "Material Density"; + parameter SIunits.Area A = 0.05 "cross section area"; + + function f + input Real t "Time"; + input Real x "a point between 0 and l"; + input Real a "a=lambda/cp/rho"; + input Real l "length"; + input Real T_l "fixed temperature at x=l"; + input Real TK "initial temperature along rod"; + input Integer Nu = 200 "number of iterations"; + output Real y "output temperature"; + protected + constant Real pi = Modelica.Constants.pi; + algorithm + y := 0; + for n in 0:Nu loop + y := y + 4 * T_l / pi * ((-1) ^ (n + 1) / (2 * n + 1)) * cos(pi * (2 * n + 1) * x / (2 * l)) * exp(-a * pi ^ 2 * (2 * n + 1) ^ 2 * t / (4 * l ^ 2)) + TK * (2 / l) * cos(pi * (2 * n + 1) * x / (2 * l)) * (2 * l / (pi * (2 * n + 1))) * sin((2 * n + 1) * pi / 2) * exp(-a * pi ^ 2 * t * (2 * n + 1) ^ 2 / (4 * l ^ 2)); + end for; + y := T_l + y; + end f; + + Modelica.SIunits.Temperature T_mid_exact; + Modelica.SIunits.Temperature T_mid_numerical; + Modelica.SIunits.Temperature T_mid_modelica; + Models.OneDHeatTransferTI_FD example(L = L, N = N, T0 = T0, TN = TN, cp = cp, lambda = lambda, rho = rho); + Models.OneDHeatTransferTI_Modelica example2(L = L, N = N, cp = cp, rho = rho, lambda = lambda, A = A, T0 = T0, TN = TN); + equation + T_mid_exact = f(time, L / 2, lambda / rho / cp, L, TN, T0); + T_mid_numerical = example.T[div(N, 2)]; + T_mid_modelica = example2.heatcapacitor[div(N + 1, 2)].T; + annotation(experiment(StopTime = 1500, Tolerance = 1e-6), Documentation(info = "In the verification of OneDHeatTransferTI_FD and OneDHeatTransferTI_Modelica, mid-nodes of the models are selected, and verified by the analytical solution. The temperature at the middle of the model implemented by analytical solution, the temperature at the mid-node of the model implemented by equations and the temperature of the heat capacitor at the middle of the model implemented by Modelica.Thermal library, are compared.

Analytical solutions are based on the solutions in “Handbook of Linear Partial Differential Equations for Engineers and Scientists” by Andrei D. Polyanin. If we consider one dimensional partial differential heat equation in the form:

In HeatConductionTI models, one end of the rod is exposed to a fixed temperature while the other end is insulated. At the insulated end, heat flux is zero therefore derivative of the temperature will be zero. +The following conditions are prescribed for the model:

Solution:

where:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the rod
Nnumber of nodes
TNfixed temperature at the last node
T0Initial temperature of the heat capacitors
cpmaterial specific heat capacity
lambdamaterial thermal conductivity
rhomaterial density
Across section area of the rod
+")); + end OneDHeatTransferTI_Check; + + model OneDHeatTransferTT_Check "analytical solution for TT models" + import Modelica.SIunits; + parameter SIunits.Length L = 0.2 "Length of the rod"; + parameter Integer N = 30 "Number of nodes"; + parameter SIunits.Temperature T0 = 273.15 "Initial temperature"; + parameter SIunits.Temperature T1 = 330 "Fixed temperature at first node"; + parameter SIunits.Temperature TN = 300 + "Fixed temperature at the last node"; + parameter SIunits.SpecificHeatCapacity cp = 910 "Material Heat Capacity"; + parameter SIunits.ThermalConductivity lambda = 237 + "Material thermal conductivity"; + parameter SIunits.Area A = 0.05 "Area"; + parameter Modelica.SIunits.Density rho = 2712 "Material Density"; + + function f + input Real t "Time"; + input Real x "a point between 0 and l"; + input Real a "a=lambda/cp/rho"; + input Real l "length"; + input Real T_0 "fixed temperature at x=0"; + input Real T_l "fixed temperature at x=l"; + input Real TK "initial temperature along rod"; + input Integer Nu = 200 "number of iterations"; + output Real y "output temperature"; + protected + constant Real pi = Modelica.Constants.pi; + algorithm + y := 0; + for n in 1:Nu loop + y := y + 2 / n / pi * ((-TK * (cos(n * pi) - 1)) - (T_0 - (-1) ^ n * T_l)) * sin(n * pi * x / l) * exp(-a * n ^ 2 * pi ^ 2 * t / l ^ 2); + end for; + y := T_0 + (T_l - T_0) * x / l + y; + end f; + + Modelica.SIunits.Temperature T_mid_exact + "Temperature value that function returns"; + Modelica.SIunits.Temperature T_mid_numerical + "Temperature value that discretized equation returns"; + Modelica.SIunits.Temperature T_mid_modelica + "Temperature value that heat capacitor returns"; + Models.OneDHeatTransferTT_FD example(L = L, N = N, T0 = T0, T1 = T1, TN = TN, cp = cp, lambda = lambda, rho = rho); + Models.OneDHeatTransferTT_Modelica example2(L = L, N = N, cp = cp, rho = rho, A = A, lambda = lambda, T0 = T0, T1 = T1, TN = TN); + equation + T_mid_exact = f(time, L / 2, lambda / cp / rho, L, T1, TN, T0, N); + T_mid_numerical = example.T[div(N, 2)]; + T_mid_modelica = example2.heatcapacitor[div(N - 2, 2)].T; + annotation(experiment(StopTime = 350, Tolerance = 1e-6), Documentation(info = "In the verification of OneDHeatTransferTT_FD and OneDHeatTransferTT_Modelica, mid-nodes of the models are selected, and verified by the analytical solution. The temperature at the middle of the model implemented by analytical solution, the temperature at the mid-node of the model implemented by equations and the temperature of the heat capacitor at the middle of the model implemented by Modelica.Thermal library, are compared.

Analytical solutions are based on the solutions in “Handbook of Linear Partial Differential Equations for Engineers and Scientists” by Andrei D. Polyanin. If we consider one dimensional partial differential heat equation in the form:

In HeatConductionTT, the ends are maintained at fixed temperatures. Therefore, the following conditions are prescribed:

Solution:

where where Rn(t) can be written according to our boundary conditions:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the rod
Nnumber of nodes
T0Initial temperature of the heat capacitors
T1fixed temperature at the first node
TNfixed temperature at the last node
cpmaterial specific heat capacity
lambdamaterial thermal conductivity
rhomaterial density
Across section area of the rod
+")); + end OneDHeatTransferTT_Check; + end Verification; + + package ScaledExperiments + extends Modelica.Icons.ExamplesPackage; + + model OneDHeatTransferTT_FD_N_10 + extends Models.OneDHeatTransferTT_FD(L = 0.2, N = 10, T0 = 273.15, T1 = 330, TN = 300, cp = 910, lambda = 237, rho = 2712); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_10; + + model OneDHeatTransferTT_FD_N_20 + extends OneDHeatTransferTT_FD_N_10(N = 20); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_20; + + model OneDHeatTransferTT_FD_N_40 + extends OneDHeatTransferTT_FD_N_10(N = 40); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_40; + + model OneDHeatTransferTT_FD_N_80 + extends OneDHeatTransferTT_FD_N_10(N = 80); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_80; + + model OneDHeatTransferTT_FD_N_160 + extends OneDHeatTransferTT_FD_N_10(N = 160); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_160; + + model OneDHeatTransferTT_FD_N_320 + extends OneDHeatTransferTT_FD_N_10(N = 320); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_320; + + model OneDHeatTransferTT_FD_N_640 + extends OneDHeatTransferTT_FD_N_10(N = 640); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_640; + + model OneDHeatTransferTT_FD_N_1280 + extends OneDHeatTransferTT_FD_N_10(N = 1280); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_FD_N_1280; + + model OneDHeatTransferTT_Modelica_N_10 + extends Models.OneDHeatTransferTT_Modelica(L = 0.2, N = 10, cp = 910, rho = 2712, A = 0.05, lambda = 237, T0 = 273.15, T1 = 330, TN = 300); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_10; + + model OneDHeatTransferTT_Modelica_N_20 + extends OneDHeatTransferTT_Modelica_N_10(N = 20); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_20; + + model OneDHeatTransferTT_Modelica_N_40 + extends OneDHeatTransferTT_Modelica_N_10(N = 40); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_40; + + model OneDHeatTransferTT_Modelica_N_80 + extends OneDHeatTransferTT_Modelica_N_10(N = 80); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_80; + + model OneDHeatTransferTT_Modelica_N_160 + extends OneDHeatTransferTT_Modelica_N_10(N = 160); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_160; + + model OneDHeatTransferTT_Modelica_N_320 + extends OneDHeatTransferTT_Modelica_N_10(N = 320); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_320; + + model OneDHeatTransferTT_Modelica_N_640 + extends OneDHeatTransferTT_Modelica_N_10(N = 640); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_640; + + model OneDHeatTransferTT_Modelica_N_1280 + extends OneDHeatTransferTT_Modelica_N_10(N = 1280); + annotation(experiment(StopTime = 350, Tolerance = 1e-6)); + end OneDHeatTransferTT_Modelica_N_1280; + + model OneDHeatTransferTI_FD_N_10 + extends Models.OneDHeatTransferTI_FD(L = 0.2, N = 10, T0 = 273.15, TN = 330, cp = 910, lambda = 237, rho = 2712); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_10; + + model OneDHeatTransferTI_FD_N_20 + extends OneDHeatTransferTI_FD_N_10(N = 20); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_20; + + model OneDHeatTransferTI_FD_N_40 + extends OneDHeatTransferTI_FD_N_10(N = 40); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_40; + + model OneDHeatTransferTI_FD_N_80 + extends OneDHeatTransferTI_FD_N_10(N = 80); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_80; + + model OneDHeatTransferTI_FD_N_160 + extends OneDHeatTransferTI_FD_N_10(N = 160); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_160; + + model OneDHeatTransferTI_FD_N_320 + extends OneDHeatTransferTI_FD_N_10(N = 320); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_320; + + model OneDHeatTransferTI_FD_N_640 + extends OneDHeatTransferTI_FD_N_10(N = 640); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_640; + + model OneDHeatTransferTI_FD_N_1280 + extends OneDHeatTransferTI_FD_N_10(N = 1280); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_FD_N_1280; + + model OneDHeatTransferTI_Modelica_N_10 + extends Models.OneDHeatTransferTI_Modelica(L = 0.2, N = 10, cp = 910, rho = 2712, lambda = 237, A = 0.05, T0 = 273.15, TN = 330); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_10; + + model OneDHeatTransferTI_Modelica_N_20 + extends OneDHeatTransferTI_Modelica_N_10(N = 20); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_20; + + model OneDHeatTransferTI_Modelica_N_40 + extends OneDHeatTransferTI_Modelica_N_10(N = 40); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_40; + + model OneDHeatTransferTI_Modelica_N_80 + extends OneDHeatTransferTI_Modelica_N_10(N = 80); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_80; + + model OneDHeatTransferTI_Modelica_N_160 + extends OneDHeatTransferTI_Modelica_N_10(N = 160); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_160; + + model OneDHeatTransferTI_Modelica_N_320 + extends OneDHeatTransferTI_Modelica_N_10(N = 320); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_320; + + model OneDHeatTransferTI_Modelica_N_640 + extends OneDHeatTransferTI_Modelica_N_10(N = 640); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_640; + + model OneDHeatTransferTI_Modelica_N_1280 + extends OneDHeatTransferTI_Modelica_N_10(N = 1280); + annotation(experiment(StopTime = 1500, Tolerance = 1e-6)); + end OneDHeatTransferTI_Modelica_N_1280; + annotation(Documentation(info = "

In this package there are 32 tests for different N values; 8 for the OneDHeatTransferTT_FD, 8 for the OneDHeatTransferTT_Modelica, 8 for the OneDHeatTransferTI_FD and 8 for the OneDHeatTransferTI_Modelica.

The tests for the models are performed according to the N values as shown in the table below:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + +
N
10
20
40
80
160
320
640
1280

Parameter values for OneDHeatTransferTT models:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
L0.2
N10,20,40,80,160,320,640,1280
T0273.15
T1330
TN330
cp910
lambda237
rho2712

Parameter values for OneDHeatTransferTI models:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
L0.2
N10,20,40,80,160,320,640,1280
T0273.15
TN330
cp910
lambda237
rho2712
")); + end ScaledExperiments; + annotation(Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}))); +end HeatConduction; diff --git a/ScalableTestSuite/Thermal/HeatExchanger.mo b/ScalableTestSuite/Thermal/HeatExchanger.mo new file mode 100644 index 0000000..1fec86a --- /dev/null +++ b/ScalableTestSuite/Thermal/HeatExchanger.mo @@ -0,0 +1,542 @@ +within ScalableTestSuite.Thermal; +package HeatExchanger "Models of heat exchangers" + package Models + model CounterCurrentHeatExchangerEquations + "countercurrent heat exchanger implemented by equations" + import Modelica.SIunits; + parameter SIunits.Length L "length of the channels"; + parameter Integer N "number of nodes"; + parameter SIunits.MassFlowRate wB "mass flow rate of fluid B"; + parameter SIunits.Area areaA "cross sectional area of channel A"; + parameter SIunits.Area areaB "cross sectional area of channel B"; + parameter SIunits.Density rhoA "density of fluid A"; + parameter SIunits.Density rhoB "density of fluid B"; + parameter SIunits.SpecificHeatCapacity cpA + "specific heat capacity of fluid A"; + parameter SIunits.SpecificHeatCapacity cpB + "specific heat capacity of fluid B"; + parameter SIunits.SpecificHeatCapacity cpW + "specific heat capacity of the wall"; + parameter SIunits.CoefficientOfHeatTransfer gammaA + "heat transfer coefficient of fluid A"; + parameter SIunits.CoefficientOfHeatTransfer gammaB + "heat transfer coefficient of fluid B"; + parameter SIunits.Length omega "perimeter"; + final parameter SIunits.Length l = L / (N - 1) + "length of the each wall segment"; + SIunits.MassFlowRate wA "mass flow rate of fluid A"; + SIunits.HeatFlowRate QA[N - 1] + "heat flow rate of fluid A in the segments"; + SIunits.HeatFlowRate QB[N - 1] + "heat flow rate of fluid B in the segments"; + SIunits.Temperature TA[N] "temperature nodes on channel A"; + SIunits.Temperature TB[N] "temperature nodes on channel B"; + SIunits.Temperature TW[N - 1] "temperatures on the wall segments"; + SIunits.HeatFlowRate QtotA "total heat flow rate of fluid A"; + SIunits.HeatFlowRate QtotB "total heat flow rate of fluid B"; + initial equation + for i in 2:N loop + TA[i] = 300; + TB[i - 1] = 300; + TW[i - 1] = 300; + end for; + equation + TA[1] = if time < 8 then 300 else 301; + TB[N] = 310; + wA = if time < 15 then 1 else 1.1; + for i in 1:N - 1 loop + rhoA * l * areaA * cpA * der(TA[i + 1]) = wA * cpA * TA[i] - wA * cpA * TA[i + 1] + QA[i]; + rhoB * l * areaB * cpB * der(TB[N - i]) = wB * cpB * TB[N - i + 1] - wB * cpB * TB[N - i] - QB[N - i]; + QA[i] = (TW[i] - (TA[i] + TA[i + 1]) / 2) * gammaA * omega * l; + QB[N - i] = ((TB[N - i + 1] + TB[N - i]) / 2 - TW[N - i]) * gammaB * omega * l; + cpW / (N - 1) * der(TW[i]) = (-QA[i]) + QB[i]; + end for; + QtotA = sum(QA); + QtotB = sum(QB); + annotation(experiment(StopTime = 20, Tolerance = 1e-6), Documentation(info = "

Countercurrent heat exchanger model consist of two channels A and B, and a separating heat transfer wall in between. Fluids A and B are flowing in the channels A and B respectively. Heat exchanger is assumed to be insulated around the outside, therefore, heat transfer occurs just between the fluids A and B. Fluid B is considered as the hot fluid and fluid A is considered to be the cold fluid.

Heat exchanger mass balance equations for the fluids can be written as:

where ρ is the density of the fluid, A is the cross section and w is the mass flow rate. Density and the cross section are assumed to be constant for the fluids, hence mass flow rate is considered constant along the channels.

Heat exchanger energy balance equations are described considering a small portion l=L/(N-1) on the channels where L is the length of each channel, and N is the number of nodes on the channels. Therefore, N-1 corresponds to the number of channel and wall segments. And, there are N-1 heat flow rates and N-1 temperature variables for the wall which are considered for the segments. Discretized energy balance equations for the countercurrent heat exchanger are described as:

for j=1…N-1 where A_A and A_B are the cross section areas of the channels, ρ_A and ρ_B are the densities, c_pA and c_pB are the specific heat capacities, w_A and w_B are the mass flow rates of the fluids A and B respectively. Moreover, T_A and T_B are the temperature variables of the fluids A and B respectively, entering and exiting the small portion l. And, Q_A is the heat flow rate from wall to channel A, and Q_B is the heat flow rate from channel B to wall. In addition to this, boundary conditions were defined for the first node for T_A and for the node N for T_B.

The wall between the channels is assumed to be very thin, so its thermal resistance is neglected. Heat transfer occurs from the fluid A in channel A to the wall and from the wall to the fluid B in channel B. Energy balance at the each wall segment:

for j=1…N-1 where γ_A and γ_B are the heat transfer coefficients of fluids A and B respectively, and ω_A and ω_B are the perimeter of the channels A and B respectively. Moreover, c_w is the specific heat capacity of the wall and T_w is the temperature variable of the wall segment. Parameters in the CounterCurrentHeatExchangerEquations:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength
Nnumber of nodes
wBmass flow rate of B
areaAcross sectional area of A
areaBcross sectional area of B
rhoAdensity of A
rhoBdensity of B
cpAspecific heat capacity of A
cpBspecific heat capacity of B
cpWspecific heat capacity of the wall
gammaAheat transfer coefficient of A
gammaBheat transfer coefficient of B
omegaperimeter
llength of each wall segment
+")); + end CounterCurrentHeatExchangerEquations; + + model CocurrentHeatExchangerEquations + "cocurrent heat exchanger implemented by equations" + import Modelica.SIunits; + parameter SIunits.Length L "length of the channels"; + parameter Integer N "number of nodes"; + parameter SIunits.MassFlowRate wB "mass flow rate of fluid B"; + parameter SIunits.Area areaA "cross sectional area of channel A"; + parameter SIunits.Area areaB "cross sectional area of channel B"; + parameter SIunits.Density rhoA "density of fluid A"; + parameter SIunits.Density rhoB "density of fluid B"; + parameter SIunits.SpecificHeatCapacity cpA + "specific heat capacity of fluid A"; + parameter SIunits.SpecificHeatCapacity cpB + "specific heat capacity of fluid B"; + parameter SIunits.SpecificHeatCapacity cpW + "specific heat capacity of the wall"; + parameter SIunits.CoefficientOfHeatTransfer gammaA + "heat transfer coefficient of fluid A"; + parameter SIunits.CoefficientOfHeatTransfer gammaB + "heat transfer coefficient of fluid B"; + parameter SIunits.Length omega "perimeter"; + final parameter SIunits.Length l = L / (N - 1) + "length of the each wall segment"; + SIunits.MassFlowRate wA "mass flow rate of fluid A"; + SIunits.HeatFlowRate QA[N - 1] + "heat flow rate of fluid A in the segments"; + SIunits.HeatFlowRate QB[N - 1] + "heat flow rate of fluid B in the segments"; + SIunits.Temperature TA[N] "temperature nodes on channel A"; + SIunits.Temperature TB[N] "temperature nodes on channel B"; + SIunits.Temperature TW[N - 1] "temperatures on the wall segments"; + SIunits.HeatFlowRate QtotA "total heat flow rate of fluid A"; + SIunits.HeatFlowRate QtotB "total heat flow rate of fluid B"; + initial equation + for i in 2:N loop + TA[i] = 300; + TB[i] = 300; + TW[i - 1] = 300; + end for; + equation + TA[1] = if time < 8 then 300 else 301; + TB[1] = 310; + wA = if time < 15 then 1 else 1.1; + for i in 1:N - 1 loop + rhoA * l * cpA * areaA * der(TA[i + 1]) = wA * cpA * TA[i] - wA * cpA * TA[i + 1] + QA[i]; + rhoB * l * cpB * areaB * der(TB[i + 1]) = wB * cpB * TB[i] - wB * cpB * TB[i + 1] - QB[i]; + QA[i] = (TW[i] - (TA[i] + TA[i + 1]) / 2) * gammaA * omega * l; + QB[i] = ((TB[i] + TB[i + 1]) / 2 - TW[i]) * gammaB * omega * l; + cpW / (N - 1) * der(TW[i]) = (-QA[i]) + QB[i]; + end for; + QtotA = sum(QA); + QtotB = sum(QB); + annotation(experiment(StopTime = 20, Tolerance = 1e-6), Documentation(info = "

Cocurrent heat exchanger model consist of two channels A and B, and a separating heat transfer wall in between. Fluids A and B are flowing in the channels A and B respectively. Heat exchanger is assumed to be insulated around the outside, therefore, heat transfer occurs just between the fluids A and B. Fluid B is considered as the hot fluid and fluid A is considered to be the cold fluid.

Heat exchanger mass balance equations for the fluids can be written as:

where ρ is the density of the fluid, A is the cross section and w is the mass flow rate. Density and the cross section are assumed to be constant for the fluids, hence mass flow rate is considered constant along the channels.

Heat exchanger energy balance equations are described considering a small portion l=L/(N-1) on the channels where L is the length of each channel, and N is the number of nodes on the channels. Therefore, N-1 corresponds to the number of channel and wall segments. And, there are N-1 heat flow rates and N-1 temperature variables for the wall which are considered for the segments.

Energy balance equations for cocurrent heat exchanger is very similar to the equations of countercurrent heat exchanger. The difference occurs because of the flow direction of the fluid B, therefore, in cocurrent heat exchanger boundary condition of T_B is described for the first node. And, boundary condition of T_A remained again for the first node.

for j=1…N-1. +Energy balance at the each wall segment is modified in terms of temperature variables of fluid B: +

for j=1…N-1.

Parameters in the CounterCurrentHeatExchangerEquations:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the channels
Nnumber of nodes
wBmass flow rate of fluid B
areaAcross sectional area of channel A
areaBcross sectional area of channel B
rhoAdensity of fluid A
rhoBdensity of fluid B
cpAspecific heat capacity of fluid A
cpBspecific heat capacity of fluid B
cpWspecific heat capacity of the wall
gammaAheat transfer coefficient of fluid A
gammaBheat transfer coefficient of fluid B
omegaperimeter
llength of each wall segment
+")); + end CocurrentHeatExchangerEquations; + end Models; + + package Verification + model SteadyStateAnalysis "steady state analysis for heat exchangers" + import Modelica.SIunits; + parameter SIunits.Length L = 10 "length of the channels"; + parameter Integer N = 20 "number of nodes"; + parameter SIunits.MassFlowRate wB = 1 "mass flow rate of fluid B"; + parameter SIunits.Area areaA = 5e-5 "cross sectional area of channel A"; + parameter SIunits.Area areaB = 5e-5 "cross sectional area of channel B"; + parameter SIunits.Density rhoA = 1000 "density of fluid A"; + parameter SIunits.Density rhoB = 1000 "density of fluid B"; + parameter SIunits.SpecificHeatCapacity cpA = 4200 + "specific heat capacity of fluid A"; + parameter SIunits.SpecificHeatCapacity cpB = 4200 + "specific heat capacity of fluid B"; + parameter SIunits.SpecificHeatCapacity cpW = 2000 + "specific heat capacity of wall"; + parameter SIunits.CoefficientOfHeatTransfer gammaA = 4000 + "heat transfer coefficient of fluid A"; + parameter SIunits.CoefficientOfHeatTransfer gammaB = 10000 + "heat transfer coefficient of fluid B"; + parameter SIunits.Length omega = 0.1 "perimeter"; + parameter SIunits.PerUnit UA = L * omega * gammaA * gammaB / (gammaA + gammaB); + Models.CounterCurrentHeatExchangerEquations countercur(L = L, N = N, wB = wB, areaA = areaA, areaB = areaB, rhoA = rhoA, rhoB = rhoB, cpA = cpA, cpB = cpB, cpW = cpW, gammaA = gammaA, gammaB = gammaB, omega = omega); + Models.CocurrentHeatExchangerEquations cocur(L = L, N = N, wB = wB, areaA = areaA, areaB = areaB, rhoA = rhoA, rhoB = rhoB, cpA = cpA, cpB = cpB, cpW = cpW, gammaA = gammaA, gammaB = gammaB, omega = omega); + SIunits.Temperature dTeogCocur + "average temperature driving force at cocurrent mode"; + SIunits.Temperature dTeogCountercur + "average temperature driving force at countercurrent mode"; + SIunits.HeatFlowRate Qcocur_ss + "steady state rate equation at cocurrent mode"; + SIunits.HeatFlowRate Qcocur_fluidA + "total heat flow rate of fluid A at cocurrent mode"; + SIunits.HeatFlowRate Qcocur_fluidB + "total heat flow rate of fluid B at cocurrent mode"; + SIunits.HeatFlowRate Qcountercur_ss + "steady state rate equation at countercurrent mode"; + SIunits.HeatFlowRate Qcountercur_fluidA + "total heat flow rate of fluid A at countercurrent mode"; + SIunits.HeatFlowRate Qcountercur_fluidB + "total heat flow rate of fluid B at countercurrent mode"; + SIunits.Temperature P1 + "temperature difference between fluid A and B at node N at cocurrent mode"; + SIunits.Temperature P2 + "temperature difference between fluid A and B at node 1 at cocurrent mode"; + SIunits.Temperature P3 + "temperature difference between fluid A and B at node N at countercurrent mode"; + SIunits.Temperature P4 + "temperature difference between fluid A and B at node 1 at countercurrent mode"; + equation + P1 = cocur.TB[N] - cocur.TA[N]; + P2 = cocur.TB[1] - cocur.TA[1]; + dTeogCocur = if time < 6 then 0 else if time < 7 then (P1 - P2) / log(P1 / P2) else if time < 13 then 0 else if time < 14 then (P1 - P2) / log(P1 / P2) else if time < 18 then 0 else if time < 19 then (P1 - P2) / log(P1 / P2) else 0; + Qcocur_ss = UA * dTeogCocur; + Qcocur_fluidA = cocur.QtotA; + Qcocur_fluidB = cocur.QtotB; + P3 = countercur.TB[N] - countercur.TA[N]; + P4 = countercur.TB[1] - countercur.TA[1]; + dTeogCountercur = if time < 6 then 0 else if time < 7 then (P3 - P4) / log(P3 / P4) else if time < 13 then 0 else if time < 14 then (P3 - P4) / log(P3 / P4) else if time < 18 then 0 else if time < 19 then (P3 - P4) / log(P3 / P4) else 0; + Qcountercur_ss = UA * dTeogCountercur; + Qcountercur_fluidA = countercur.QtotA; + Qcountercur_fluidB = countercur.QtotB; + annotation(experiment(StartTime = 0, StopTime = 20, Tolerance = 1e-6, Interval = 0.04), Documentation(info = "

Temperature distributions of the heat exchangers in cocurrent and countercurrent mode are given. T_H and T_c represent the temperature of the hot fluid and the cold fluid, respectively.

∆T represents the temperature difference between hot and cold fluids along the heat exchangers. And, x is a point along the channels of the heat exchanger. In the countercurrent mode, ∆T does not vary along the channels as much as the ∆T in the cocurrent mode. Moreover, in cocurrent mode, ∆T is very large at the inlet of the channels and getting smaller progressively. Countercurrent heat exchanger can be evaluated as more efficient with respect to cocurrent heat exchanger since countercurrent mode requires smaller heat transfer area to provide the same heat transfer rate. +

At the steady state, the total flow rates of Q_A and Q_B is equal to a steady state rate equation and it is used for the verification of the models. +Steady state heat rate equation for a heat exchanger is written as follows:

Q=UA∆Teog

+where U is the average overall heat transfer coefficient, A is the area of the heat transfer surface and ∆Teog is the average temperature driving force. UA is described as:

UA=Lω(γ_A γ_B)/(γ_A+γ_B )

where L is the length, ω is the perimeter of the channels, γ_A and γ_B are the heat transfer coefficients of fluid A and B respectively.

∆Teog is written as:

where ∆T_L is the temperature difference of the fluids A and B at the outlet of the channels and ∆T_o is the temperature difference of the fluids A and B at the inlet of the channels. + + +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
Llength of the channels
Nnumber of nodes
wBmass flow rate of fluid B
areaAcross sectional area of channel A
areaBcross sectional area of channel B
rhoAdensity of fluid A
rhoBdensity of fluid B
cpAspecific heat capacity of fluid A
cpBspecific heat capacity of fluid B
cpWspecific heat capacity of the wall
gammaAheat transfer coefficient of fluid A
gammaBheat transfer coefficient of fluid B
omegaperimeter
UAaverage overall heat transfer coefficient * area of the heat transfer surface
+")); + end SteadyStateAnalysis; + end Verification; + + package ScaledExperiments + model CounterCurrentHeatExchangerEquations_N_20 + extends CounterCurrentHeatExchangerEquations_N_10(N = 20); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_20; + + model CounterCurrentHeatExchangerEquations_N_40 + extends CounterCurrentHeatExchangerEquations_N_10(N = 40); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_40; + + model CounterCurrentHeatExchangerEquations_N_80 + extends CounterCurrentHeatExchangerEquations_N_10(N = 80); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_80; + + model CounterCurrentHeatExchangerEquations_N_160 + extends CounterCurrentHeatExchangerEquations_N_10(N = 160); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_160; + + model CounterCurrentHeatExchangerEquations_N_320 + extends CounterCurrentHeatExchangerEquations_N_10(N = 320); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_320; + + model CounterCurrentHeatExchangerEquations_N_640 + extends CounterCurrentHeatExchangerEquations_N_10(N = 640); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_640; + + model CounterCurrentHeatExchangerEquations_N_1280 + extends CounterCurrentHeatExchangerEquations_N_10(N = 1280); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_1280; + + model CocurrentHeatExchangerEquations_N_10 + extends Models.CocurrentHeatExchangerEquations(L = 10, N = 10, wB = 1, areaA = 5e-5, areaB = 5e-5, rhoA = 1000, rhoB = 1000, cpA = 4200, cpB = 4200, cpW = 2000, gammaA = 4000, gammaB = 10000, omega = 0.1); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_10; + + model CocurrentHeatExchangerEquations_N_20 + extends CocurrentHeatExchangerEquations_N_10(N = 20); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_20; + + model CocurrentHeatExchangerEquations_N_40 + extends CocurrentHeatExchangerEquations_N_10(N = 40); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_40; + + model CocurrentHeatExchangerEquations_N_80 + extends CocurrentHeatExchangerEquations_N_10(N = 80); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_80; + + model CocurrentHeatExchangerEquations_N_160 + extends CocurrentHeatExchangerEquations_N_10(N = 160); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_160; + + model CocurrentHeatExchangerEquations_N_320 + extends CocurrentHeatExchangerEquations_N_10(N = 320); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_320; + + model CocurrentHeatExchangerEquations_N_640 + extends CocurrentHeatExchangerEquations_N_10(N = 640); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_640; + + model CocurrentHeatExchangerEquations_N_1280 + extends CocurrentHeatExchangerEquations_N_10(N = 1280); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CocurrentHeatExchangerEquations_N_1280; + + model CounterCurrentHeatExchangerEquations_N_10 + extends Models.CounterCurrentHeatExchangerEquations(L = 10, N = 10, wB = 1, areaA = 5e-5, areaB = 5e-5, rhoA = 1000, rhoB = 1000, cpA = 4200, cpB = 4200, cpW = 2000, gammaA = 4000, gammaB = 10000, omega = 0.1); + annotation(experiment(StopTime = 20, Tolerance = 1e-6)); + end CounterCurrentHeatExchangerEquations_N_10; + annotation(Documentation(info = "

In this package there are 16 tests for different N values; 8 for the CounterCurrentHeatExchangerEquations, 8 for the CocurrentHeatExchangerEquations.

The tests for the models are performed according to the N values as shown in the table below:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + +
N
10
20
40
80
160
320
640
1280

Parameter values for CounterCurrentHeatExchangerEquations and CocurrentHeatExchangerEquations:

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ParametersComment
L10
N10,20,40,80,160,320,640,1280
wB1
areaA5e-5
areaB5e-5
rhoA1000
rhoB1000
cpA4200
cpB4200
cpW2000
gammaA4000
gammaB10000
omega0.1
")); + end ScaledExperiments; + annotation(Icon(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2})), Diagram(coordinateSystem(extent = {{-100, -100}, {100, 100}}, preserveAspectRatio = true, initialScale = 0.1, grid = {2, 2}))); +end HeatExchanger; diff --git a/ScalableTestSuite/Thermal/package.mo b/ScalableTestSuite/Thermal/package.mo new file mode 100644 index 0000000..432879f --- /dev/null +++ b/ScalableTestSuite/Thermal/package.mo @@ -0,0 +1,4 @@ +within ScalableTestSuite; +package Thermal "Models from the thermal domain" + +end Thermal; diff --git a/ScalableTestSuite/Thermal/package.order b/ScalableTestSuite/Thermal/package.order new file mode 100644 index 0000000..88ae764 --- /dev/null +++ b/ScalableTestSuite/Thermal/package.order @@ -0,0 +1,2 @@ +HeatConduction +HeatExchanger diff --git a/ScalableTestSuite/package.mo b/ScalableTestSuite/package.mo new file mode 100644 index 0000000..c9ea9dc --- /dev/null +++ b/ScalableTestSuite/package.mo @@ -0,0 +1,50 @@ +within ; +package ScalableTestSuite "A library of scalable Modelica test models" + + + + + annotation(version = "1.0.0", + uses(Modelica(version = "3.2.1")), + Documentation(info= +" +

This library contains a collection of Modelica models whose size can be scaled by means of integer parameter(s). This is useful to test the ability of Modelica tools to compile and simulate models of increasing size efficiently.

+

The library contains examples with a physical motivation, which are also verified against known analytical solutions wherever possible.

+

In some cases, when feasible, two mathematically equivalent models are provided, one built by raw equations and the other one built using the Modelica Standard Library. This makes it possible to evaluate how efficiently the Modelica tool can handle the overhead of a modular description both in terms of compilation time, which might be higher due to additional processing, and of simulation time, which should be the same.

+

This work was originally inspired by discussion at the 2014 EOOLT Workshop in Berlin. Version 1.0.0 is the outcome of Kaan Sezginer's master's thesis work at Politecnico di Milano, under the supervision of prof. Francesco Casella. It is expected that the library grows and becomes a reference for the community, please contact Francesco Casella if you want to contribute.

+

Licensed by Politecnico di Milano under the Modelica License 2.

+

Copyright © 2015 Politecnico di Milano

+

Main Authors

+
    +
  • Kaan Sezginer
  • +
  • Francesco Casella
  • +
+"), + Icon(coordinateSystem(preserveAspectRatio=false, extent={{-100,-100},{100,100}}), + graphics={ + Rectangle( + extent={{-100,100},{100,-100}}, + lineColor={0,0,0}, + fillColor={215,215,215}, + fillPattern=FillPattern.Solid), + Rectangle( + extent={{-100,50},{50,-100}}, + lineColor={0,0,0}, + fillColor={175,175,175}, + fillPattern=FillPattern.Solid), + Rectangle( + extent={{-100,0},{0,-100}}, + lineColor={0,0,0}, + fillColor={135,135,135}, + fillPattern=FillPattern.Solid), + Rectangle( + extent={{-100,-40},{-40,-100}}, + lineColor={0,0,0}, + fillColor={95,95,95}, + fillPattern=FillPattern.Solid), + Rectangle( + extent={{-100,-70},{-68,-100}}, + lineColor={0,0,0}, + fillColor={0,0,0}, + fillPattern=FillPattern.Solid)})); +end ScalableTestSuite; diff --git a/ScalableTestSuite/package.order b/ScalableTestSuite/package.order new file mode 100644 index 0000000..af555c8 --- /dev/null +++ b/ScalableTestSuite/package.order @@ -0,0 +1,3 @@ +Electrical +Mechanical +Thermal

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