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IMC_YD.mo
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IMC_YD.mo
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within Modelica.Magnetic.QuasiStatic.FundamentalWave.Examples.BasicMachines.InductionMachines;
model IMC_YD "Induction machine with squirrel cage starting Y-D"
import Modelica.Constants.pi;
extends Modelica.Icons.Example;
constant Integer m=3 "Number of phases";
parameter SI.Voltage VNominal=100
"Nominal RMS voltage per phase";
parameter SI.Frequency fNominal=imc.fsNominal "Nominal frequency";
parameter SI.Time tStart1=0.1 "Start time";
parameter SI.Time tStart2=2.0 "Start time from Y to D";
parameter SI.Torque TLoad=161.4 "Nominal load torque";
parameter SI.AngularVelocity wLoad(displayUnit="rev/min")=
1440.45*2*Modelica.Constants.pi/60 "Nominal load speed";
parameter SI.Inertia JLoad=0.29
"Load's moment of inertia";
Magnetic.QuasiStatic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage
imcQS(
p=imcData.p,
fsNominal=imcData.fsNominal,
TsRef=imcData.TsRef,
alpha20s(displayUnit="1/K") = imcData.alpha20s,
Jr=imcData.Jr,
Js=imcData.Js,
frictionParameters=imcData.frictionParameters,
wMechanical(fixed=true),
gammar(fixed=true, start=pi/2),
gamma(fixed=true, start=-pi/2),
statorCoreParameters=imcData.statorCoreParameters,
strayLoadParameters=imcData.strayLoadParameters,
Lrsigma=imcData.Lrsigma,
TrRef=imcData.TrRef,
Rs=imcData.Rs*m/3,
Lssigma=imcData.Lssigma*m/3,
Lm=imcData.Lm*m/3,
Rr=imcData.Rr*m/3,
m=m,
TsOperational=293.15,
effectiveStatorTurns=imcData.effectiveStatorTurns,
alpha20r=imcData.alpha20r,
TrOperational=293.15)
annotation (Placement(transformation(extent={{20,10},{40,30}})));
Modelica.Electrical.QuasiStatic.Polyphase.Sensors.CurrentQuasiRMSSensor currentQuasiRMSSensorQS(m=m) annotation (Placement(transformation(
extent={{-10,10},{10,-10}},
rotation=270,
origin={30,70})));
Modelica.Electrical.QuasiStatic.Polyphase.Sources.VoltageSource sineVoltageQS(
final m=m,
f=fNominal,
V=fill(VNominal/sqrt(3), m)) annotation (Placement(transformation(
origin={-30,90},
extent={{10,10},{-10,-10}})));
Modelica.Electrical.QuasiStatic.Polyphase.Basic.Star starQS(final m=m) annotation (Placement(transformation(extent={{-50,80},{-70,100}})));
Modelica.Electrical.QuasiStatic.SinglePhase.Basic.Ground groundQS annotation (Placement(transformation(
origin={-90,90},
extent={{-10,-10},{10,10}},
rotation=270)));
Modelica.Blocks.Sources.BooleanStep booleanStepQS[m](each startTime=tStart1) annotation (Placement(transformation(extent={{-80,50},{-60,70}})));
Modelica.Electrical.QuasiStatic.Polyphase.Ideal.IdealClosingSwitch idealCloserQS(
final m=m,
Ron=fill(1e-5, m),
Goff=fill(1e-5, m)) annotation (Placement(transformation(
origin={0,90},
extent={{-10,10},{10,-10}})));
Magnetic.QuasiStatic.FundamentalWave.Utilities.SwitchYD switchYDQS(final m=m)
annotation (Placement(transformation(extent={{20,30},{40,50}})));
Modelica.Blocks.Sources.BooleanStep booleanStepYDQS[m](each startTime=tStart2) annotation (Placement(transformation(extent={{-40,30},{-20,50}})));
Modelica.Mechanics.Rotational.Components.Inertia loadInertiaQS(J=JLoad) annotation (Placement(transformation(extent={{50,10},{70,30}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque quadraticLoadTorqueQS(
w_nominal=wLoad,
TorqueDirection=false,
tau_nominal=-TLoad,
useSupport=false) annotation (Placement(transformation(extent={{100,10},{80,30}})));
parameter
Modelica.Electrical.Machines.Utilities.ParameterRecords.IM_SquirrelCageData
imcData "Induction machine data"
annotation (Placement(transformation(extent={{70,72},{90,92}})));
Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage imc(
p=imcData.p,
fsNominal=imcData.fsNominal,
TsRef=imcData.TsRef,
alpha20s(displayUnit="1/K") = imcData.alpha20s,
Jr=imcData.Jr,
Js=imcData.Js,
frictionParameters=imcData.frictionParameters,
phiMechanical(fixed=true),
wMechanical(fixed=true),
statorCoreParameters=imcData.statorCoreParameters,
strayLoadParameters=imcData.strayLoadParameters,
TrRef=imcData.TrRef,
Rs=imcData.Rs*m/3,
Lssigma=imcData.Lssigma*m/3,
Lszero=imcData.Lszero*m/3,
Lm=imcData.Lm*m/3,
Lrsigma=imcData.Lrsigma*m/3,
Rr=imcData.Rr*m/3,
m=m,
TsOperational=293.15,
effectiveStatorTurns=imcData.effectiveStatorTurns,
alpha20r=imcData.alpha20r,
TrOperational=293.15)
annotation (Placement(transformation(extent={{20,-90},{40,-70}})));
Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensor
currentQuasiRMSSensor annotation (Placement(transformation(extent={{-10,10},{10,-10}}, rotation=270,
origin={30,-30})));
Modelica.Electrical.Polyphase.Sources.SineVoltage sineVoltage(
final m=m,
f=fill(fNominal, m),
V=fill(sqrt(2/3)*VNominal, m)) annotation (Placement(transformation(
origin={-30,-10},
extent={{10,10},{-10,-10}})));
Modelica.Electrical.Polyphase.Basic.Star star(final m=m) annotation (
Placement(transformation(extent={{-50,-20},{-70,0}})));
Modelica.Electrical.Analog.Basic.Ground ground annotation (Placement(
transformation(
origin={-90,-10},
extent={{-10,-10},{10,10}},
rotation=270)));
Modelica.Blocks.Sources.BooleanStep booleanStep[m](each startTime=
tStart1) annotation (Placement(transformation(extent={{-80,-50},{-60,-30}})));
Modelica.Electrical.Polyphase.Ideal.IdealClosingSwitch idealCloser(
final m=m,
Ron=fill(1e-5, m),
Goff=fill(1e-5, m)) annotation (Placement(transformation(
origin={0,-10},
extent={{-10,10},{10,-10}})));
Modelica.Electrical.Machines.Utilities.SwitchYD
switchYD(m=m) annotation (Placement(transformation(extent={{20,-70},{40,-50}})));
Modelica.Blocks.Sources.BooleanStep booleanStepYD[m](each startTime=
tStart2) annotation (Placement(transformation(extent={{-40,-70},{-20,-50}})));
Modelica.Mechanics.Rotational.Components.Inertia loadInertia(J=JLoad)
annotation (Placement(transformation(extent={{50,-90},{70,-70}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticLoadTorque(
w_nominal=wLoad,
TorqueDirection=false,
tau_nominal=-TLoad,
useSupport=false) annotation (Placement(transformation(extent={{100,-90},{80,-70}})));
initial equation
sum(imc.is) = 0;
imc.is[1:2] = zeros(2);
imc.rotorCage.electroMagneticConverter.V_m = Complex(0, 0);
equation
connect(starQS.pin_n, groundQS.pin) annotation (Line(points={{-70,90},{-80,90}}, color={85,170,255}));
connect(sineVoltageQS.plug_n, starQS.plug_p) annotation (Line(points={{-40,90},{-50,90}}, color={85,170,255}));
connect(sineVoltageQS.plug_p, idealCloserQS.plug_p) annotation (Line(points={{-20,90},{-10,90}}, color={85,170,255}));
connect(loadInertiaQS.flange_b, quadraticLoadTorqueQS.flange) annotation (Line(points={{70,20},{80,20}}));
connect(booleanStepQS.y, idealCloserQS.control) annotation (Line(points={{-59,60},{0,60},{0,78}}, color={255,0,255}));
connect(booleanStepYDQS.y, switchYDQS.control) annotation (Line(points={{-19,40},{18,40}}, color={255,0,255}));
connect(idealCloserQS.plug_n, currentQuasiRMSSensorQS.plug_p) annotation (Line(points={{10,90},{10,90},{28,90},{28,90},{30,90},{30,80},{30,80}}, color={85,170,255}));
connect(switchYDQS.plug_sn, imcQS.plug_sn) annotation (Line(points={{24,30},{24,30}}, color={85,170,255}));
connect(switchYDQS.plug_sp, imcQS.plug_sp) annotation (Line(points={{36,30},{36,30}}, color={85,170,255}));
connect(switchYDQS.plugSupply, currentQuasiRMSSensorQS.plug_n) annotation (Line(points={{30,50},{30,60}}, color={85,170,255}));
connect(imcQS.flange, loadInertiaQS.flange_a) annotation (Line(points={{40,20},{50,20}}));
connect(star.pin_n,ground. p)
annotation (Line(points={{-70,-10},{-80,-10}},
color={0,0,255}));
connect(sineVoltage.plug_n,star. plug_p)
annotation (Line(points={{-40,-10},{-50,-10}}, color={0,0,255}));
connect(sineVoltage.plug_p,idealCloser. plug_p) annotation (Line(points={{-20,-10},{-10,-10}},
color={0,0,255}));
connect(loadInertia.flange_b,quadraticLoadTorque. flange)
annotation (Line(points={{70,-80},{80,-80}}));
connect(booleanStep.y,idealCloser. control) annotation (Line(points={{-59,-40},{0,-40},{0,-22}},
color={255,0,255}));
connect(booleanStepYD.y,switchYD. control)
annotation (Line(points={{-19,-60},{18,-60}}, color={255,0,255}));
connect(idealCloser.plug_n,currentQuasiRMSSensor. plug_p)
annotation (Line(points={{10,-10},{30,-10},{30,-20}},
color={0,0,255}));
connect(switchYD.plug_sn, imc.plug_sn) annotation (Line(points={{24,-70},{24,-70}}, color={0,0,255}));
connect(switchYD.plug_sp, imc.plug_sp) annotation (Line(points={{36,-70},{36,-70}}, color={0,0,255}));
connect(switchYD.plugSupply,currentQuasiRMSSensor. plug_n) annotation (
Line(
points={{30,-50},{30,-40}}, color={0,0,255}));
connect(imc.flange, loadInertia.flange_a) annotation (Line(points={{40,-80},{50,-80}}));
annotation (experiment(StopTime=2.5,Interval=0.0001,Tolerance=1e-06),
Documentation(
info="<html>
<p>
At start time tStart three-phase voltage is supplied to the induction machine with squirrel cage, first star-connected, then delta-connected; the machine starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed.</p>
<p>Simulate for 2.5 seconds and plot (versus time):</p>
<ul>
<li><code>currentQuasiRMSSensor|currentQuasiRMSSensorQS.I</code>: (equivalent) stator current RMS</li>
<li><code>imc|imcQS.wMechanical</code>: machine speed</li>
<li><code>imc|imcQS.tauElectrical</code>: machine torque</li>
</ul>
<p>
Default machine parameters are used.</p>
</html>"),
Diagram(graphics={
Text(
extent={{-60,20},{20,12}},
textStyle={TextStyle.Bold},
textString="%m phase quasi-static"), Text(
extent={{-60,-80},{20,-88}},
textStyle={TextStyle.Bold},
textString="%m phase transient")}));
end IMC_YD;