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SoftStarter.mo
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SoftStarter.mo
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within Modelica.Electrical.PowerConverters.Examples.ACAC;
model SoftStarter "Soft start of an induction machine"
extends Modelica.Icons.Example;
import Modelica.Constants.pi;
constant Integer m=3 "Number of phases";
constant Real y2d=Modelica.Electrical.Polyphase.Functions.factorY2D(m);
parameter SI.Voltage VNominal=100 "Nominal RMS voltage line to line";
parameter SI.Current INominal=100*y2d "Nominal RMS current at the terminals";
parameter SI.Frequency fNominal=aimcData.fsNominal "Nominal frequency";
parameter SI.Inertia JLoad=aimcData.Jr "Load's moment of inertia";
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";
Modelica.Electrical.Polyphase.Sources.SineVoltage sineVoltage(
final m=m,
f=fill(fNominal, m),
V=sqrt(2)*fill(VNominal, m)/y2d)
annotation (Placement(transformation(
origin={-80,0},
extent={{10,-10},{-10,10}},
rotation=90)));
Modelica.Electrical.Polyphase.Basic.Star star(final m=m)
annotation (
Placement(transformation(extent={{10,-10},{-10,10}},
rotation=90,
origin={-80,-30})));
Modelica.Electrical.Analog.Basic.Ground ground
annotation (Placement(
transformation(
origin={-80,-60},
extent={{-10,-10},{10,10}})));
Modelica.Electrical.Polyphase.Sensors.CurrentQuasiRMSSensor currentQuasiRMSSensor(m=m)
annotation (Placement(transformation(
extent={{10,-10},{-10,10}},
rotation=270,
origin={-80,30})));
PowerConverters.ACAC.PolyphaseTriac triac(final m=m, useHeatPort=false)
annotation (Placement(transformation(extent={{-40,30},{-20,50}})));
Modelica.Electrical.Polyphase.Sensors.VoltageSensor voltageSensor(m=m)
annotation (Placement(transformation(
extent={{10,-10},{-10,10}},
rotation=90,
origin={-60,0})));
Modelica.Electrical.Polyphase.Basic.Star star1(m=m)
annotation (Placement(
transformation(
extent={{-10,10},{10,-10}},
rotation=270,
origin={-60,-30})));
Modelica.Electrical.Analog.Basic.Ground ground1
annotation (Placement(
transformation(
origin={-60,-60},
extent={{-10,-10},{10,10}})));
PowerConverters.ACDC.Control.Signal2mPulse adaptor(
m=m,
useConstantFiringAngle=false,
useFilter=false,
f=fNominal)
annotation (Placement(transformation(extent={{-40,-10},{-20,10}})));
PowerConverters.ACAC.Control.VoltageToAngle voltageToAngle(VNominal=1,
voltage2Angle=PowerConverters.Types.Voltage2AngleType.H01) annotation (
Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={-30,-30})));
Modelica.Electrical.Polyphase.Sensors.MultiSensor multiSensor(m=m)
annotation (Placement(transformation(extent={{-10,30},{10,50}})));
Modelica.Electrical.Polyphase.Basic.Star star2(m=m)
annotation (Placement(
transformation(
extent={{-10,10},{10,-10}},
rotation=270)));
Modelica.Electrical.Analog.Basic.Ground ground2
annotation (Placement(
transformation(
origin={0,-30},
extent={{-10,-10},{10,10}})));
Modelica.Blocks.Math.RootMeanSquare rootMeanSquare(f=fNominal)
annotation (Placement(transformation(extent={{40,50},{60,70}})));
Modelica.Blocks.Math.Harmonic harmonic(f=fNominal,k=1)
annotation (Placement(transformation(extent={{40,20},{60,40}})));
Modelica.Electrical.Machines.Utilities.MultiTerminalBox terminalBox(m=m,
terminalConnection="D")
annotation (Placement(transformation(extent={{10,6},{30,26}})));
Modelica.Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SquirrelCage
imc(
m=m,
p=aimcData.p,
fsNominal=aimcData.fsNominal,
Rs=aimcData.Rs*m/3,
TsRef=aimcData.TsRef,
alpha20s(displayUnit="1/K") = aimcData.alpha20s,
effectiveStatorTurns=aimcData.effectiveStatorTurns,
Lszero=aimcData.Lszero*m/3,
Lssigma=aimcData.Lssigma*m/3,
Jr=aimcData.Jr,
Js=aimcData.Js,
frictionParameters=aimcData.frictionParameters,
phiMechanical(fixed=true),
wMechanical(fixed=true),
statorCoreParameters=aimcData.statorCoreParameters,
strayLoadParameters=aimcData.strayLoadParameters,
Lm=aimcData.Lm*m/3,
Lrsigma=aimcData.Lrsigma*m/3,
Rr=aimcData.Rr*m/3,
TrRef=aimcData.TrRef,
TsOperational=293.15,
alpha20r=aimcData.alpha20r,
TrOperational=293.15)
annotation (Placement(transformation(extent={{10,-10},{30,10}})));
parameter Modelica.Electrical.Machines.Utilities.ParameterRecords.IM_SquirrelCageData aimcData
annotation (Placement(transformation(extent={{10,-40},{30,-20}})));
Modelica.Mechanics.Rotational.Components.Inertia loadInertia(J=JLoad)
annotation (Placement(transformation(extent={{40,-10},{60,10}})));
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorque
quadraticLoadTorque(
w_nominal=wLoad,
TorqueDirection=false,
tau_nominal=-TLoad,
useSupport=false) annotation (Placement(transformation(extent={{90,-10},{70,10}})));
PowerConverters.ACAC.Control.SoftStartControl softStartControl(
tRampUp=4,
vStart=0.3,
iMax=2.5,
iMin=2.4,
INominal=INominal,
tRampDown=3,
vRef(fixed=true)) annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={-30,-60})));
Modelica.Blocks.Continuous.Filter filter(analogFilter=Modelica.Blocks.Types.AnalogFilter.CriticalDamping,
f_cut=2*fNominal)
annotation (Placement(transformation(extent={{-60,-90},{-40,-70}})));
Modelica.Blocks.Sources.BooleanTable booleanTable(table={0.1,5.5},
startTime=0)
annotation (Placement(transformation(extent={{10,-70},{-10,-50}})));
initial equation
imc.is[1:3] = zeros(3);
imc.ir[1:2] = zeros(2);
equation
connect(ground.p, star.pin_n)
annotation (Line(points={{-80,-50},{-80,-40}}, color={0,0,255}));
connect(sineVoltage.plug_n, star.plug_p)
annotation (Line(points={{-80,-10},{-80,-20}}, color={0,0,255}));
connect(imc.flange, loadInertia.flange_a)
annotation (Line(points={{30,0},{40,0}}, color={0,0,0}));
connect(triac.plug_n, multiSensor.pc)
annotation (Line(points={{-20,40},{-10,40}}, color={0,0,255}));
connect(multiSensor.pc, multiSensor.pv)
annotation (Line(points={{-10,40},{-10,50},{0,50}}, color={0,0,255}));
connect(multiSensor.nv,star2. plug_p)
annotation (Line(points={{0,30},{0,10}},
color={0,0,255}));
connect(terminalBox.plug_sn, imc.plug_sn)
annotation (Line(points={{14,10},{14,10}}, color={0,0,255}));
connect(terminalBox.plug_sp, imc.plug_sp)
annotation (Line(points={{26,10},{26,10}}, color={0,0,255}));
connect(triac.fire1, adaptor.fire_p)
annotation (Line(points={{-36,28},{-36,11}}, color={255,0,255}));
connect(triac.fire2, adaptor.fire_n)
annotation (Line(points={{-24,28},{-24,11}}, color={255,0,255}));
connect(voltageSensor.v, adaptor.v)
annotation (Line(points={{-49,0},{-42,0}}, color={0,0,127}));
connect(currentQuasiRMSSensor.plug_p, sineVoltage.plug_p)
annotation (Line(points={{-80,20},{-80,10}}, color={0,0,255}));
connect(currentQuasiRMSSensor.plug_n, triac.plug_p)
annotation (Line(points={{-80,40},{-40,40}}, color={0,0,255}));
connect(multiSensor.nc, terminalBox.plugSupply)
annotation (Line(points={{10,40},{20,40},{20,12}}, color={0,0,255}));
connect(triac.plug_p, voltageSensor.plug_p)
annotation (Line(points={{-40,40},{-60,40},{-60,10}}, color={0,0,255}));
connect(voltageSensor.plug_n, star1.plug_p)
annotation (Line(points={{-60,-10},{-60,-20}}, color={0,0,255}));
connect(star1.pin_n, ground1.p)
annotation (Line(points={{-60,-40},{-60,-50}}, color={0,0,255}));
connect(star2.pin_n, ground2.p)
annotation (Line(points={{0,-10},{0,-20}}, color={0,0,255}));
connect(multiSensor.v[1], harmonic.u) annotation (Line(points={{6,29},{6,20},{
30,20},{30,30},{38,30}}, color={0,0,127}));
connect(multiSensor.v[1], rootMeanSquare.u) annotation (Line(points={{6,29},{6,
20},{30,20},{30,60},{38,60}}, color={0,0,127}));
connect(loadInertia.flange_b, quadraticLoadTorque.flange)
annotation (Line(points={{60,0},{70,0}}, color={0,0,0}));
connect(currentQuasiRMSSensor.I, filter.u) annotation (Line(points={{-91,
30},{-100,30},{-100,-80},{-62,-80}}, color={0,0,127}));
connect(voltageToAngle.firingAngle, adaptor.firingAngle)
annotation (Line(points={{-30,-19},{-30,-12}}, color={0,0,127}));
connect(filter.y, softStartControl.iRMS)
annotation (Line(points={{-39,-80},{-30,-80},{-30,-72}}, color={0,0,127}));
connect(voltageToAngle.vRef, softStartControl.vRef)
annotation (Line(points={{-30,-42},{-30,-49}}, color={0,0,127}));
connect(booleanTable.y, softStartControl.start)
annotation (Line(points={{-11,-60},{-18,-60}}, color={255,0,255}));
annotation (experiment(
StopTime=10,
Interval=0.0001,
Tolerance=1e-06), Documentation(info="<html>
<p>This model demonstrates a soft start of an induction machine:
Voltage ramp is started at 0.1 s and should ramp up to nominal voltage within 4s,
but current is limited to 2.5 times nominal current.
At 5.5 s a voltage ramp down within 3 s is required.
</p>
<p>Reference voltage is controlled by the
<a href=\"modelica://Modelica.Electrical.PowerConverters.ACAC.Control.SoftStartControl\">softStartControl block</a>,
reference voltage is converted to firing angle by the
<a href=\"modelica://Modelica.Electrical.PowerConverters.ACAC.Control.VoltageToAngle\">voltageToAngle block</a>.
Firing angle is processed by the
<a href=\"modelica://Modelica.Electrical.PowerConverters.ACDC.Control.Signal2mPulse\">Signal2mPulse adaptor</a>
to firing signals which are applied to the
<a href=\"modelica://Modelica.Electrical.PowerConverters.ACAC.PolyphaseTriac\">triac</a>.
</p>
<p>
Compare starting with firing angle by
<a href=\"modelica://Modelica.Electrical.Machines.Examples.InductionMachines.IMC_DOL\">starting direct on line</a>,
<a href=\"modelica://Modelica.Electrical.Machines.Examples.InductionMachines.IMC_YD\">star-delta starting</a>, and
<a href=\"modelica://Modelica.Electrical.Machines.Examples.InductionMachines.IMC_Transformer\">starting via a transformer</a>.
</p>
</html>"));
end SoftStarter;