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SMR_CurrentSource.mo
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SMR_CurrentSource.mo
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within Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.SynchronousMachines;
model SMR_CurrentSource
"Test example: Synchronous reluctance machine fed by current source"
extends Modelica.Icons.Example;
import Modelica.Constants.pi;
parameter Integer m=3 "Number of phases" annotation(Evaluate=true);
parameter SI.Voltage VNominal=100
"Nominal RMS voltage per phase";
parameter SI.Frequency fNominal=smrData.fsNominal "Nominal frequency";
parameter SI.Frequency f=50 "Actual frequency";
parameter SI.Time tRamp=1 "Frequency ramp";
parameter SI.Torque TLoad=181.4 "Nominal load torque";
parameter SI.Time tStep=1.2 "Time of load torque step";
parameter SI.Inertia JLoad=0.29
"Load's moment of inertia";
SI.Angle thetaQS=rotorAngleQS.rotorDisplacementAngle "Rotor displacement angle, quasi-static";
SI.Angle theta=rotorDisplacementAngle.rotorDisplacementAngle "Rotor displacement angle, transient";
Modelica.Electrical.Polyphase.Sources.SignalCurrent signalCurrent(
final m=m) annotation (Placement(transformation(
origin={0,-10},
extent={{-10,10},{10,-10}},
rotation=270)));
Modelica.Electrical.Polyphase.Basic.Star star(final m=m) annotation (
Placement(transformation(
extent={{10,-10},{-10,10}},
rotation=90,
origin={50,-10})));
Modelica.Electrical.Analog.Basic.Ground ground annotation (Placement(
transformation(
origin={50,-30},
extent={{-10,-10},{10,10}})));
Modelica.Electrical.Machines.Utilities.DQToThreePhase dqToThreePhase(
p=smr.p, m=m)
annotation (Placement(transformation(extent={{-50,-20},{-30,0}})));
Modelica.Blocks.Sources.Constant iq(k=84.6*3/m)
annotation (Placement(
transformation(extent={{-100,-20},{-80,0}})));
Modelica.Blocks.Sources.Constant id(k=53.5*3/m)
annotation (Placement(transformation(extent={{-100,20},{-80,40}})));
Modelica.Electrical.Polyphase.Sensors.VoltageQuasiRMSSensor
voltageQuasiRMSSensor(m=m)
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=180,
origin={-30,-50})));
Modelica.Electrical.Polyphase.Basic.Star starM(final m=m)
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=180,
origin={-50,-50})));
Modelica.Electrical.Analog.Basic.Ground groundM annotation (Placement(
transformation(
origin={-60,-90},
extent={{-10,-10},{10,10}})));
Modelica.Electrical.Machines.Utilities.MultiTerminalBox terminalBox(
terminalConnection="Y", m=m)
annotation (Placement(transformation(extent={{-10,-74},{10,-54}})));
Modelica.Electrical.Machines.Sensors.RotorDisplacementAngle
rotorDisplacementAngle(p=smr.p, m=m)
annotation (Placement(
transformation(
origin={30,-80},
extent={{-10,10},{10,-10}},
rotation=270)));
Modelica.Mechanics.Rotational.Sensors.AngleSensor angleSensor
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={30,-40})));
Modelica.Mechanics.Rotational.Components.Inertia inertiaLoad(J=0.29)
annotation (Placement(transformation(extent={{50,-90},{70,-70}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticSpeedDependentTorque(
tau_nominal=-181.4,
w_nominal(displayUnit="rpm") = 157.07963267949,
TorqueDirection=false)
annotation (Placement(transformation(extent={{100,-90},{80,-70}})));
Modelica.Electrical.Polyphase.Sensors.CurrentQuasiRMSSensor currentRMSsensor(m=m)
annotation (Placement(transformation(
origin={0,-40},
extent={{-10,-10},{10,10}},
rotation=270)));
Modelica.Mechanics.Rotational.Components.Inertia inertiaLoadQS(J=0.29)
annotation (Placement(transformation(extent={{50,10},{70,30}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticSpeedDependentTorqueQS(
tau_nominal=-181.4,
w_nominal(displayUnit="rpm") = 157.07963267949,
TorqueDirection=false)
annotation (Placement(transformation(extent={{100,10},{80,30}})));
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Star
starMachineQS(m=
Modelica.Electrical.Polyphase.Functions.numberOfSymmetricBaseSystems(
m))
annotation (Placement(transformation(
extent={{-10,10},{10,-10}},
rotation=180,
origin={-30,20})));
Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Ground
groundMQS annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
origin={-60,10})));
Utilities.MultiTerminalBox terminalBoxQS(terminalConnection="Y", m=m)
annotation (Placement(transformation(extent={{-10,26},{10,46}})));
FundamentalWave.Utilities.CurrentController dqToThreePhaseQS(m=m, p=
smrQS.p)
annotation (Placement(transformation(extent={{-50,80},{-30,100}})));
Modelica.Mechanics.Rotational.Sensors.AngleSensor angleSensorQS
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={30,60})));
Modelica.Electrical.QuasiStatic.Polyphase.Sources.ReferenceCurrentSource referenceCurrentSource(m=m)
annotation (Placement(transformation(
extent={{10,-10},{-10,10}},
rotation=90,
origin={0,90})));
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Star starQS(m=m)
annotation (Placement(transformation(
origin={50,90},
extent={{-10,-10},{10,10}},
rotation=270)));
Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Ground
groundeQS annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
origin={50,70})));
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Resistor resistorQS(m=m, R_ref=fill(1e5, m)) annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={20,90})));
parameter
Modelica.Electrical.Machines.Utilities.ParameterRecords.SM_ReluctanceRotorData
smrData(useDamperCage=false) "Synchronous machine data"
annotation (Placement(transformation(extent={{70,72},{90,92}})));
FundamentalWave.BasicMachines.SynchronousMachines.SM_ReluctanceRotor
smrQS(
p=smrData.p,
fsNominal=smrData.fsNominal,
TsRef=smrData.TsRef,
alpha20s(displayUnit="1/K") = smrData.alpha20s,
Jr=smrData.Jr,
Js=smrData.Js,
frictionParameters=smrData.frictionParameters,
statorCoreParameters=smrData.statorCoreParameters,
strayLoadParameters=smrData.strayLoadParameters,
Lrsigmad=smrData.Lrsigmad,
Lrsigmaq=smrData.Lrsigmaq,
Rrd=smrData.Rrd,
Rrq=smrData.Rrq,
TrRef=smrData.TrRef,
alpha20r(displayUnit="1/K") = smrData.alpha20r,
Rs=smrData.Rs*m/3,
Lssigma=smrData.Lssigma*m/3,
Lmd=smrData.Lmd*m/3,
Lmq=smrData.Lmq*m/3,
m=m,
gammar(start=pi/2),
gamma(start=-pi/2),
useDamperCage=smrData.useDamperCage,
wMechanical(start=0, fixed=true),
phiMechanical(start=0, fixed=true),
effectiveStatorTurns=smrData.effectiveStatorTurns,
TsOperational=293.15,
TrOperational=293.15) annotation (Placement(transformation(extent={{-10,10},{10,30}})));
Magnetic.FundamentalWave.BasicMachines.SynchronousMachines.SM_ReluctanceRotor
smr(
Jr=smrData.Jr,
Js=smrData.Js,
p=smrData.p,
fsNominal=smrData.fsNominal,
TsRef=smrData.TsRef,
alpha20s(displayUnit="1/K") = smrData.alpha20s,
frictionParameters=smrData.frictionParameters,
statorCoreParameters=smrData.statorCoreParameters,
strayLoadParameters=smrData.strayLoadParameters,
phiMechanical(fixed=true),
wMechanical(fixed=true),
Lrsigmad=smrData.Lrsigmad,
Lrsigmaq=smrData.Lrsigmaq,
Rrd=smrData.Rrd,
Rrq=smrData.Rrq,
TrRef=smrData.TrRef,
alpha20r(displayUnit="1/K") = smrData.alpha20r,
ir(each fixed=true),
m=m,
Rs=smrData.Rs*m/3,
Lssigma=smrData.Lssigma*m/3,
Lszero=smrData.Lszero*m/3,
Lmd=smrData.Lmd*m/3,
Lmq=smrData.Lmq*m/3,
useDamperCage=smrData.useDamperCage,
TsOperational=293.15,
effectiveStatorTurns=smrData.effectiveStatorTurns,
TrOperational=293.15)
annotation (Placement(transformation(extent={{-10,-90},{10,-70}})));
Sensors.RotorDisplacementAngle rotorAngleQS(m=m, p=smrQS.p) annotation (Placement(transformation(
extent={{10,-10},{-10,10}},
rotation=90,
origin={30,20})));
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensor currentRMSSensorQS(m=m)
annotation (Placement(transformation(
extent={{10,10},{-10,-10}},
rotation=90,
origin={0,60})));
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.VoltageQuasiRMSSensor voltageQuasiRMSSensorQS(m=m)
annotation (Placement(transformation(extent={{-40,60},{-20,40}})));
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Star starMQS(m=m) annotation (
Placement(transformation(
extent={{-10,10},{10,-10}},
rotation=270,
origin={-50,40})));
Modelica.Electrical.Polyphase.Basic.Star starMachine(final m=
Modelica.Electrical.Polyphase.Functions.numberOfSymmetricBaseSystems(m))
annotation (Placement(transformation(extent={{10,-10},{-10,10}}, origin={-30,
-80})));
equation
connect(star.pin_n, ground.p)
annotation (Line(points={{50,-20},{50,-20}}, color={0,0,255}));
connect(signalCurrent.plug_p, star.plug_p) annotation (Line(
points={{0,0},{50,0}},
color={0,0,255}));
connect(angleSensor.flange, rotorDisplacementAngle.flange)
annotation (Line(
points={{30,-50},{30,-56},{30,-56},{30,-60},{20,-60},{20,-80}}));
connect(voltageQuasiRMSSensor.plug_p, terminalBox.plugSupply)
annotation (Line(
points={{-20,-50},{0,-50},{0,-68}},
color={0,0,255}));
connect(starM.plug_p, voltageQuasiRMSSensor.plug_n) annotation (Line(
points={{-40,-50},{-40,-50}},
color={0,0,255}));
connect(starM.pin_n, groundM.p) annotation (Line(
points={{-60,-50},{-60,-80}},
color={0,0,255}));
connect(quadraticSpeedDependentTorque.flange, inertiaLoad.flange_b)
annotation (Line(
points={{80,-80},{70,-80}}));
connect(signalCurrent.plug_n, currentRMSsensor.plug_p) annotation (
Line(
points={{0,-20},{0,-30}},
color={0,0,255}));
connect(currentRMSsensor.plug_n, voltageQuasiRMSSensor.plug_p)
annotation (Line(
points={{0,-50},{-20,-50}},
color={0,0,255}));
connect(quadraticSpeedDependentTorqueQS.flange, inertiaLoadQS.flange_b)
annotation (Line(
points={{80,20},{70,20}}));
connect(starMachineQS.plug_p, terminalBoxQS.starpoint) annotation (
Line(
points={{-20,20},{-20,32},{-10,32}},
color={85,170,255}));
connect(groundMQS.pin, starMachineQS.pin_n) annotation (Line(
points={{-60,20},{-40,20}},
color={85,170,255}));
connect(dqToThreePhaseQS.I, referenceCurrentSource.I) annotation (
Line(points={{-29,94},{-20,94},{-20,96},{-12,96}}, color={85,170,
255}));
connect(referenceCurrentSource.plug_p, starQS.plug_p) annotation (
Line(
points={{0,100},{50,100}},
color={85,170,255}));
connect(starQS.pin_n, groundeQS.pin) annotation (Line(
points={{50,80},{50,80}},
color={85,170,255}));
connect(referenceCurrentSource.plug_p, resistorQS.plug_p) annotation (Line(points={{0,100},{20,100}}, color={85,170,255}));
connect(resistorQS.plug_n, referenceCurrentSource.plug_n) annotation (Line(points={{20,80},{0,80}}, color={85,170,255}));
connect(terminalBoxQS.plug_sn, smrQS.plug_sn) annotation (Line(
points={{-6,30},{-6,30}},
color={85,170,255}));
connect(terminalBoxQS.plug_sp, smrQS.plug_sp) annotation (Line(
points={{6,30},{6,30}},
color={85,170,255}));
connect(angleSensorQS.flange, smrQS.flange) annotation (Line(
points={{30,50},{30,40},{20,40},{20,20},{10,20}}));
connect(terminalBox.plug_sn, smr.plug_sn) annotation (Line(
points={{-6,-70},{-6,-70}},
color={0,0,255}));
connect(terminalBox.plug_sp, smr.plug_sp) annotation (Line(
points={{6,-70},{6,-70}},
color={0,0,255}));
connect(smr.flange, rotorDisplacementAngle.flange) annotation (Line(
points={{10,-80},{20,-80}}));
connect(rotorDisplacementAngle.plug_p, terminalBox.plug_sp)
annotation (Line(
points={{24,-70},{6,-70}},
color={0,0,255}));
connect(terminalBox.plug_sn, rotorDisplacementAngle.plug_n)
annotation (Line(
points={{-6,-70},{-6,-64},{36,-64},{36,-70}},
color={0,0,255}));
connect(rotorDisplacementAngle.flange, inertiaLoad.flange_a)
annotation (Line(
points={{20,-80},{50,-80}}));
connect(smrQS.flange, rotorAngleQS.flange) annotation (Line(points={{10,20},{20,20}}));
connect(smrQS.plug_sp, rotorAngleQS.plug_p) annotation (Line(points={{6,30},{24,30}}, color={85,170,255}));
connect(smrQS.plug_sn, rotorAngleQS.plug_n) annotation (Line(points={{-6,30},{-6,36},{36,36},{36,30}}, color={85,170,255}));
connect(inertiaLoadQS.flange_a, smrQS.flange) annotation (Line(points={{50,20},{42,20},{42,20},{32,20},{32,20},{10,20}}));
connect(currentRMSSensorQS.plug_p, referenceCurrentSource.plug_n) annotation (Line(points={{0,70},{0,80}}, color={85,170,255}));
connect(currentRMSSensorQS.plug_n, terminalBoxQS.plugSupply) annotation (Line(points={{0,50},{0,32}}, color={85,170,255}));
connect(id.y, dqToThreePhaseQS.id_rms) annotation (Line(points={{-79,
30},{-74,30},{-74,96},{-52,96}}, color={0,0,127}));
connect(id.y, dqToThreePhase.d) annotation (Line(points={{-79,30},{-74,
30},{-74,-4},{-52,-4}}, color={0,0,127}));
connect(iq.y, dqToThreePhaseQS.iq_rms) annotation (Line(points={{-79,
-10},{-70,-10},{-70,84},{-52,84}}, color={0,0,127}));
connect(iq.y, dqToThreePhase.q) annotation (Line(points={{-79,-10},{-70,
-10},{-70,-16},{-52,-16}}, color={0,0,127}));
connect(angleSensor.phi, dqToThreePhase.phi) annotation (Line(points=
{{30,-29},{30,-26},{-34,-26},{-34,-22}}, color={0,0,127}));
connect(dqToThreePhase.y, signalCurrent.i)
annotation (Line(points={{-29,-10},{-12,-10}}, color={0,0,127}));
connect(dqToThreePhaseQS.gamma, referenceCurrentSource.gamma)
annotation (Line(points={{-29,86},{-20,86},{-20,84},{-12,84}},
color={0,0,127}));
connect(angleSensorQS.phi, dqToThreePhaseQS.phi) annotation (Line(
points={{30,71},{30,74},{-40,74},{-40,78}}, color={0,0,127}));
connect(starMQS.plug_p, voltageQuasiRMSSensorQS.plug_p) annotation (Line(points={{-50,50},{-40,50}}, color={85,170,255}));
connect(voltageQuasiRMSSensorQS.plug_n, currentRMSSensorQS.plug_n) annotation (Line(points={{-20,50},{0,50}}, color={85,170,255}));
connect(starMQS.pin_n, groundMQS.pin) annotation (Line(points={{-50,30},{-50,20},{-60,20}}, color={85,170,255}));
connect(starMachine.pin_n, groundM.p) annotation (Line(points={{-40,-80},{-60,-80}}, color={0,0,255}));
connect(starMachine.plug_p, terminalBox.starpoint) annotation (Line(points={{-20,-80},{-20,-68},{-10,-68}},color={0,0,255}));
annotation (
experiment(StopTime=2.0, Interval=1E-4, Tolerance=1E-6),
Documentation(info="<html>
<p>
This example compares a time transient and a quasi-static model of a synchronous reluctance machine.
The machines are fed by a current source. The current components are oriented at the magnetic field
orientation and transformed to the stator fixed reference frame. This way the machines are operated at constant torque.
The machines start to accelerate from standstill.</p>
<p>
Simulate for 2 seconds and plot (versus time):
</p>
<ul>
<li><code>smpm|smpmQS.wMechanical</code>: machine speed</li>
<li><code>smpm|smpmQS.tauElectrical</code>: machine torque</li>
</ul>
</html>"),
Diagram(coordinateSystem(preserveAspectRatio=false, extent={{-100,-100},
{100,100}}), graphics={
Text(
extent={{30,48},{110,40}},
textStyle={TextStyle.Bold},
textString="%m phase quasi-static"), Text(
extent={{30,-52},{110,-60}},
textStyle={TextStyle.Bold},
textString="%m phase transient")}));
end SMR_CurrentSource;