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IMC_DOL_CommonLeakage.mo
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IMC_DOL_CommonLeakage.mo
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within Modelica.Magnetic.FundamentalWave.Examples.BasicMachines.InductionMachines.ComparisonPolyphase;
model IMC_DOL_CommonLeakage
"Direct on line start of polyphase induction machine with squirrel cage"
extends Modelica.Icons.Example;
import Modelica.Electrical.Polyphase.Functions.numberOfSymmetricBaseSystems;
parameter Integer m=5 "Number of stator phases" annotation(Evaluate=true);
final parameter Integer mBase=numberOfSymmetricBaseSystems(m) "Number of symmetric base systems";
parameter SI.Voltage VsNominal=100
"Nominal RMS voltage per phase";
parameter SI.Frequency fNominal=aimcData.fsNominal "Nominal frequency";
parameter SI.Time tOn=0.1 "Start time of machine";
parameter SI.Torque T_Load=161.4 "Nominal load torque";
parameter SI.AngularVelocity w_Load(displayUnit="rev/min")=
1440.45*2*Modelica.Constants.pi/60 "Nominal load speed";
parameter SI.Inertia J_Load=0.29 "Load inertia";
Modelica.Electrical.Analog.Basic.Ground groundM annotation (Placement(
transformation(
origin={-90,-50},
extent={{-10,-10},{10,10}})));
Modelica.Electrical.Polyphase.Basic.Star starM(final m=m) annotation (
Placement(transformation(extent={{10,-10},{-10,10}},
rotation=90,
origin={-90,-18})));
Modelica.Electrical.Polyphase.Sources.SineVoltage sineVoltageM(
final m=m,
f=fill(fNominal, m),
V=fill(sqrt(2.0)*VsNominal, m),
phase=-Modelica.Electrical.Polyphase.Functions.symmetricOrientation(
m)) annotation (Placement(transformation(
origin={-90,10},
extent={{10,-10},{-10,10}},
rotation=90)));
Modelica.Electrical.Polyphase.Ideal.IdealClosingSwitch idealCloserM(
final m=m,
Ron=fill(1e-5*m/3, m),
Goff=fill(1e-5*3/m, m)) annotation (Placement(transformation(origin={-70,72},
extent={{-10,10},{10,-10}})));
Modelica.Blocks.Sources.BooleanStep booleanStepM[m](each startTime=tOn, each
startValue=false) annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={-70,40})));
Modelica.Electrical.Polyphase.Sensors.CurrentQuasiRMSSensor currentRMSsensor0(m=m)
annotation (Placement(transformation(origin={-30,72},extent={{-10,-10},{10,
10}})));
Electrical.Machines.Utilities.MultiTerminalBox terminalBox0(m=m,
terminalConnection="Y") annotation (Placement(transformation(extent={{0,56},{
20,76}})));
Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage aimc0(
Jr=aimcData.Jr,
Js=aimcData.Js,
p=aimcData.p,
fsNominal=aimcData.fsNominal,
TsRef=aimcData.TsRef,
alpha20s(displayUnit="1/K") = aimcData.alpha20s,
ratioCommonStatorLeakage=0,
frictionParameters=aimcData.frictionParameters,
statorCoreParameters=aimcData.statorCoreParameters,
strayLoadParameters=aimcData.strayLoadParameters,
TrRef=aimcData.TrRef,
alpha20r(displayUnit="1/K") = aimcData.alpha20r,
phiMechanical(fixed=true),
wMechanical(fixed=true),
m=m,
Rs=aimcData.Rs*m/3,
Lssigma=aimcData.Lssigma*m/3,
Lszero=aimcData.Lszero*m/3,
Lm=aimcData.Lm*m/3,
Lrsigma=aimcData.Lrsigma*m/3,
Rr=aimcData.Rr*m/3,
TsOperational=293.15,
effectiveStatorTurns=aimcData.effectiveStatorTurns,
TrOperational=293.15)
annotation (Placement(transformation(extent={{0,40},{20,60}})));
Modelica.Mechanics.Rotational.Components.Inertia loadInertia0(J=J_Load)
annotation (Placement(transformation(extent={{30,40},{50,60}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticLoadTorque0(
w_nominal=w_Load,
tau_nominal=-T_Load,
TorqueDirection=false,
useSupport=false) annotation (Placement(transformation(extent={{80,40},{60,
60}})));
parameter
Modelica.Electrical.Machines.Utilities.ParameterRecords.IM_SquirrelCageData
aimcData "Induction machine data"
annotation (Placement(transformation(extent={{-80,-80},{-60,-60}})));
Electrical.Polyphase.Sensors.CurrentQuasiRMSSensor currentRMSsensorH(m=m)
annotation (Placement(transformation(origin={-30,10}, extent={{-10,-10},{10,
10}})));
Electrical.Machines.Utilities.MultiTerminalBox
terminalBoxH(m=m,
terminalConnection="Y")
annotation (Placement(transformation(extent={{0,-4},{20,16}})));
Modelica.Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage
aimcH(
Jr=aimcData.Jr,
Js=aimcData.Js,
p=aimcData.p,
fsNominal=aimcData.fsNominal,
TsRef=aimcData.TsRef,
alpha20s(displayUnit="1/K") = aimcData.alpha20s,
ratioCommonStatorLeakage=0.5,
frictionParameters=aimcData.frictionParameters,
statorCoreParameters=aimcData.statorCoreParameters,
strayLoadParameters=aimcData.strayLoadParameters,
TrRef=aimcData.TrRef,
alpha20r(displayUnit="1/K") = aimcData.alpha20r,
phiMechanical(fixed=true),
wMechanical(fixed=true),
m=m,
Rs=aimcData.Rs*m/3,
Lssigma=aimcData.Lssigma*m/3,
Lszero=aimcData.Lszero*m/3,
Lm=aimcData.Lm*m/3,
Lrsigma=aimcData.Lrsigma*m/3,
Rr=aimcData.Rr*m/3,
TsOperational=293.15,
effectiveStatorTurns=aimcData.effectiveStatorTurns,
TrOperational=293.15)
annotation (Placement(transformation(extent={{0,-20},{20,0}})));
Mechanics.Rotational.Components.Inertia loadInertiaH(J=J_Load)
annotation (Placement(transformation(extent={{30,-20},{50,0}})));
Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque quadraticLoadTorqueH(
w_nominal=w_Load,
tau_nominal=-T_Load,
TorqueDirection=false,
useSupport=false)
annotation (Placement(transformation(extent={{80,-20},{60,0}})));
Electrical.Polyphase.Sensors.CurrentQuasiRMSSensor currentRMSsensor1(m=m)
annotation (Placement(transformation(origin={-30,-46},
extent={{-10,-10},{10,
10}})));
Electrical.Machines.Utilities.MultiTerminalBox terminalBox1(m=m,
terminalConnection="Y") annotation (Placement(transformation(extent={{0,-64},
{20,-44}})));
Modelica.Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage
aimc1(
Jr=aimcData.Jr,
Js=aimcData.Js,
p=aimcData.p,
fsNominal=aimcData.fsNominal,
TsRef=aimcData.TsRef,
alpha20s(displayUnit="1/K") = aimcData.alpha20s,
ratioCommonStatorLeakage=1,
frictionParameters=aimcData.frictionParameters,
statorCoreParameters=aimcData.statorCoreParameters,
strayLoadParameters=aimcData.strayLoadParameters,
TrRef=aimcData.TrRef,
alpha20r(displayUnit="1/K") = aimcData.alpha20r,
phiMechanical(fixed=true),
wMechanical(fixed=true),
m=m,
Rs=aimcData.Rs*m/3,
Lssigma=aimcData.Lssigma*m/3,
Lszero=aimcData.Lszero*m/3,
Lm=aimcData.Lm*m/3,
Lrsigma=aimcData.Lrsigma*m/3,
Rr=aimcData.Rr*m/3,
TsOperational=293.15,
effectiveStatorTurns=aimcData.effectiveStatorTurns,
TrOperational=293.15)
annotation (Placement(transformation(extent={{0,-80},{20,-60}})));
Mechanics.Rotational.Components.Inertia loadInertia1(J=J_Load)
annotation (Placement(transformation(extent={{30,-80},{50,-60}})));
Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticLoadTorque1(
w_nominal=w_Load,
tau_nominal=-T_Load,
TorqueDirection=false,
useSupport=false) annotation (Placement(transformation(extent={{80,-80},{60,
-60}})));
Electrical.Polyphase.Basic.Star starBase0(m=mBase) annotation (Placement(
transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={-10,52})));
Electrical.Polyphase.Basic.Star starBaseH(m=mBase) annotation (Placement(
transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={-10,-8})));
Electrical.Polyphase.Basic.Star starBase1(m=mBase) annotation (Placement(
transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={-10,-68})));
initial equation
aimc0.is[1:m - 1] = zeros(m - 1);
aimc0.rotorCage.electroMagneticConverter.Phi = Complex(0, 0);
aimcH.is[1:m - 1] = zeros(m - 1);
aimcH.rotorCage.electroMagneticConverter.Phi = Complex(0, 0);
aimc1.is[1:2] = zeros(2);
aimc1.rotorCage.electroMagneticConverter.Phi = Complex(0, 0);
equation
connect(starM.pin_n, groundM.p) annotation (Line(points={{-90,-28},{-90,-40}},
color={0,0,255}));
connect(sineVoltageM.plug_n, starM.plug_p) annotation (Line(points={{-90,0},{-90,
-8}}, color={0,0,255}));
connect(aimc0.flange,loadInertia0. flange_a)
annotation (Line(points={{20,50},{30,50}}));
connect(terminalBox0.plug_sn,aimc0. plug_sn)
annotation (Line(points={{4,60},{4,60}}, color={0,0,255}));
connect(terminalBox0.plug_sp,aimc0. plug_sp)
annotation (Line(points={{16,60},{16,60}}, color={0,0,255}));
connect(sineVoltageM.plug_p, idealCloserM.plug_p) annotation (Line(
points={{-90,20},{-90,72},{-80,72}},
color={0,0,255}));
connect(idealCloserM.plug_n,currentRMSsensor0. plug_p) annotation (Line(
points={{-60,72},{-40,72}},
color={0,0,255}));
connect(booleanStepM.y, idealCloserM.control) annotation (Line(
points={{-70,51},{-70,60}}, color={255,0,255}));
connect(loadInertia0.flange_b,quadraticLoadTorque0. flange) annotation (
Line(
points={{50,50},{60,50}}));
connect(currentRMSsensor0.plug_n,terminalBox0. plugSupply) annotation (
Line(
points={{-20,72},{10,72},{10,62}},
color={0,0,255}));
connect(aimcH.flange, loadInertiaH.flange_a)
annotation (Line(points={{20,-10},{30,-10}}));
connect(terminalBoxH.plug_sn, aimcH.plug_sn)
annotation (Line(points={{4,0},{4,0}}, color={0,0,255}));
connect(terminalBoxH.plug_sp, aimcH.plug_sp)
annotation (Line(points={{16,0},{16,0}}, color={0,0,255}));
connect(idealCloserM.plug_n, currentRMSsensorH.plug_p) annotation (Line(
points={{-60,72},{-50,72},{-50,10},{-40,10}}, color={0,0,255}));
connect(loadInertiaH.flange_b, quadraticLoadTorqueH.flange)
annotation (Line(points={{50,-10},{60,-10}}));
connect(currentRMSsensorH.plug_n, terminalBoxH.plugSupply)
annotation (Line(points={{-20,10},{10,10},{10,2}}, color={0,0,255}));
connect(aimc1.flange,loadInertia1. flange_a)
annotation (Line(points={{20,-70},{30,-70}}));
connect(terminalBox1.plug_sn,aimc1. plug_sn)
annotation (Line(points={{4,-60},{4,-60}}, color={0,0,255}));
connect(terminalBox1.plug_sp,aimc1. plug_sp)
annotation (Line(points={{16,-60},{16,-60}},
color={0,0,255}));
connect(idealCloserM.plug_n,currentRMSsensor1. plug_p) annotation (Line(
points={{-60,72},{-50,72},{-50,-46},{-40,-46}},
color={0,0,255}));
connect(loadInertia1.flange_b,quadraticLoadTorque1. flange) annotation (
Line(
points={{50,-70},{60,-70}}));
connect(currentRMSsensor1.plug_n,terminalBox1. plugSupply) annotation (
Line(
points={{-20,-46},{10,-46},{10,-58}},
color={0,0,255}));
connect(terminalBox0.starpoint, starBase0.plug_p)
annotation (Line(points={{0,62},{-10,62}}, color={0,0,255}));
connect(starBaseH.plug_p, terminalBoxH.starpoint)
annotation (Line(points={{-10,2},{0,2}}, color={0,0,255}));
connect(starBase1.plug_p, terminalBox1.starpoint)
annotation (Line(points={{-10,-58},{0,-58}}, color={0,0,255}));
annotation (
experiment(
StopTime=1.5,
Interval=1E-4,
Tolerance=1e-06),
Documentation(info="<html>
<p>
At start time tStart voltages are supplied to the
<a href=\"modelica://Modelica.Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage\">polyphase induction machines with squirrel cage</a>.
The machines starts from standstill, accelerating inertias against load torque quadratic dependent on speed, finally reaching nominal speed.
Three equivalent machines with different parameter <code>ratioCommonLeakage</code> are compared.
Note that due to the mode of operation, the behaviour of all three machines is identical.
Only when fed by switching power electronics, parameter <code>ratioCommonLeakage</code> is essential.
</p>
</html>"),
Diagram(graphics={ Text(
extent={{10,80},{90,72}},
textStyle={TextStyle.Bold},
textString="ratioCommonLeakage=0",
textColor={0,0,0}), Text(
extent={{10,22},{90,14}},
textStyle={TextStyle.Bold},
textColor={0,0,0},
textString="ratioCommonLeakage=0.5"),
Text(
extent={{10,-38},{90,-46}},
textStyle={TextStyle.Bold},
textColor={0,0,0},
textString="ratioCommonLeakage=1")}));
end IMC_DOL_CommonLeakage;