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Transformer3PhaseYyWithHysteresis.mo
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Transformer3PhaseYyWithHysteresis.mo
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within Modelica.Magnetic.FluxTubes.Examples.Hysteresis.Components;
model Transformer3PhaseYyWithHysteresis
"Three-phase transformer in Yy configuration"
Modelica.Thermal.HeatTransfer.Sources.PrescribedTemperature Temp
annotation (Placement(transformation(extent={{-166,14},{-154,26}})));
// Tab: Electrical //Group:Primary Winding
parameter Integer N1=10 "Primary turns"
annotation(Dialog(tab="Electrical", group="Primary winding"));
parameter SI.Length L1(displayUnit="mm") = 1.2*2*(a+b)
"Mean primary turn length"
annotation(Dialog(tab="Electrical", group="Primary winding"));
parameter SI.Length d1(displayUnit="mm") = 0.5e-3
"Wire diameter of primary turns"
annotation(Dialog(tab="Electrical", group="Primary winding"));
parameter SI.Resistivity rho1 = 1.678e-8
"Resistivity of primary winding (at 20degC)"
annotation(Dialog(tab="Electrical", group="Primary winding"));
parameter SI.LinearTemperatureCoefficient alpha1 = 0
"Temperature coefficient of primary turns" annotation(Dialog(tab="Electrical", group="Primary winding"));
// Tab: Electrical //Group:Secondary Winding
parameter Integer N2=10 "Secondary turns"
annotation(Dialog(tab="Electrical", group="Secondary winding"));
parameter SI.Length L2(displayUnit="mm") = L1
"Mean secondary turn length"
annotation(Dialog(tab="Electrical", group="Secondary winding"));
parameter SI.Length d2(displayUnit="mm") = d1
"Wire diameter of secondary turns"
annotation(Dialog(tab="Electrical", group="Secondary winding"));
parameter SI.Resistivity rho2 = rho1
"Resistivity of secondary winding (at 20degC)"
annotation(Dialog(tab="Electrical", group="Secondary winding"));
parameter SI.LinearTemperatureCoefficient alpha2 = alpha1
"Temperature coefficient of secondary turns" annotation(Dialog(tab="Electrical", group="Secondary winding"));
parameter SI.Length l1(displayUnit="mm") = 40e-3
"Mean length l1 of core" annotation (Dialog(tab="Core", group="Geometry", groupImage="modelica://Modelica/Resources/Images/Magnetic/FluxTubes/Examples/Hysteresis/Components/Transformer3PhaseYyWithHysteresis/Core_ThreePhase1.png"));
parameter SI.Length l2(displayUnit="mm") = 60e-3
"Mean length l2 of core" annotation (Dialog(tab="Core", group="Geometry"));
parameter SI.Length a(displayUnit="mm") = 15e-3 "Height of core" annotation (Dialog(tab="Core", group="Geometry"));
parameter SI.Length b(displayUnit="mm") = 10e-3 "Width of core" annotation (Dialog(tab="Core", group="Geometry"));
parameter FluxTubes.Material.HysteresisEverettParameter.BaseData mat=
FluxTubes.Material.HysteresisEverettParameter.BaseData()
"Core Material" annotation (Dialog(tab="Core", group="Material"),
choicesAllMatching=true);
output SI.Voltage v1[3] "Voltage drop of primary winding 1-3";
output SI.Voltage v2[3] "Voltage drop of secondary winding 1-3";
output SI.Resistance R1[3] "Resistance of primary winding 1-3";
output SI.Resistance R2[3] "Resistance of secondary winding 1-3";
output SI.Current i1[3] "Current in primary winding 1-3";
output SI.Current i2[3] "Current in secondary winding 1-3";
output SI.MagneticFluxDensity B[3]
"Magnetic Flux Density in core portions 1-3";
output SI.MagneticFlux Phi[3]
"Magnetic Flux through core portions 1-3";
output SI.MagneticFieldStrength Hstat[3]
"Ferromagnetic portion of magnetic field strength";
output SI.MagneticFieldStrength Heddy[3]
"Eddy current portion of magnetic field strength";
output SI.MagneticFieldStrength H[3]
"Total magnetic field strength of core";
//output SI.Resistance R1
parameter Real MagRelStart[3]={0,0,0}
"Initial magnetization of Core (-1..1)" annotation (Dialog(tab="Core", group="Initialization"));
parameter Boolean MagRelFixed[3] = {false,false,false} "Fixed" annotation (Dialog(tab="Core", group="Initialization"));
parameter SI.MagneticFieldStrength HStart[3]={0,0,0}
"Initial magnetic field strength of Core" annotation (Dialog(tab="Core", group="Initialization"));
parameter Boolean HFixed[3] = {false,false,false} "Fixed" annotation (Dialog(tab="Core", group="Initialization"),choices(checkBox=true));
parameter SI.ElectricCurrent I1Start[3]={0,0,0}
"Initial current of primary Windings" annotation (Dialog(tab="Core", group="Initialization"));
parameter Boolean I1Fixed[3] = {false,false,false} "Fixed" annotation (Dialog(tab="Core", group="Initialization"),choices(checkBox=true));
parameter SI.ElectricCurrent I2Start[3]={0,0,0}
"Initial current of secondary Windings" annotation (Dialog(tab="Core", group="Initialization"));
parameter Boolean I2Fixed[3] = {false,false,false} "Fixed" annotation (Dialog(tab="Core", group="Initialization"),choices(checkBox=true));
output SI.Power LossPowerWinding "Winding losses";
output SI.Power LossPowerStat "Ferromagnetic hysteresis losses";
output SI.Power LossPowerEddy "Eddy current losses";
extends Interfaces.ConditionalHeatPort;
parameter Boolean EddyCurrents = false "Enable eddy currents" annotation(Dialog(tab="Losses and heat", group="Eddy currents"), choices(checkBox=true));
parameter SI.Conductivity sigma = mat.sigma
"Conductivity of core material" annotation (Dialog(tab="Losses and heat", group="Eddy currents", enable=EddyCurrents));
parameter SI.Length t(displayUnit="mm") = 0.5e-3
"Thickness of lamination" annotation (Dialog(tab="Losses and heat", group="Eddy currents", enable=EddyCurrents));
parameter SI.Length L_l1=10e-3 "Length of leakage of primary Winding" annotation (Dialog(tab="Leakage"));
parameter SI.Area A_l1=10e-6
"Cross section of leakage of primary Winding" annotation (Dialog(tab="Leakage"));
parameter Real mu_rel1=1
"Constant relative permeability of primary leakage (>0 required)" annotation (Dialog(tab="Leakage"));
parameter SI.Length L_l2=10e-3
"Cross section of leakage of secondary Winding" annotation (Dialog(tab="Leakage"));
parameter SI.Area A_l2=10e-6 "Length of leakage of secondary Winding" annotation (Dialog(tab="Leakage"));
parameter Real mu_rel2=1
"Constant relative permeability of secondary leakage (>0 required)" annotation (Dialog(tab="Leakage"));
Shapes.HysteresisAndMagnets.GenericHystTellinenEverett core1(
mat=mat,
A=a*b,
sigma=sigma,
d=t,
useHeatPort=false,
includeEddyCurrents=EddyCurrents,
l=l1 + 2*l2,
H(start=HStart[1], fixed=HFixed[1]),
MagRel(start=MagRelStart[1], fixed=MagRelFixed[1])) annotation (
Placement(transformation(
extent={{10,-10},{-10,10}},
origin={-40,114})));
Shapes.HysteresisAndMagnets.GenericHystTellinenEverett core2(
mat=mat,
A=a*b,
sigma=sigma,
d=t,
useHeatPort=false,
includeEddyCurrents=EddyCurrents,
l=l2,
H(start=HStart[2], fixed=HFixed[2]),
MagRel(start=MagRelStart[2], fixed=MagRelFixed[2])) annotation (
Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={10,92})));
Shapes.HysteresisAndMagnets.GenericHystTellinenEverett core3(
mat=mat,
A=a*b,
includeEddyCurrents=EddyCurrents,
sigma=sigma,
d=t,
l=l1 + 2*l2,
H(start=HStart[3], fixed=HFixed[3]),
MagRel(start=MagRelStart[3], fixed=MagRelFixed[3]))
annotation (Placement(transformation(extent={{70,104},{90,124}})));
Basic.Ground ground
annotation (Placement(transformation(extent={{0,-80},{20,-60}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding11(
N=N1,
L=L_l1,
A=A_l1,
mu_rel=mu_rel1,
i(start=I1Start[1], fixed=I1Fixed[1])) annotation (Placement(transformation(extent={{-110,40},{-90,60}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding12(
L=L_l1,
A=A_l1,
mu_rel=mu_rel1,
i(start=I1Start[2], fixed=I1Fixed[2]),
final N=N1) annotation (Placement(transformation(extent={{-10,40},{10,60}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding13(
N=N1,
L=L_l1,
A=A_l1,
mu_rel=mu_rel1,
i(start=I1Start[3], fixed=I1Fixed[3])) annotation (Placement(transformation(extent={{110,40},{130,60}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding21(
N=N2,
L=L_l2,
A=A_l2,
mu_rel=mu_rel2,
i(start=I2Start[1], fixed=I2Fixed[1])) annotation (Placement(transformation(extent={{-110,-20},{-90,0}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding22(
N=N2,
L=L_l2,
A=A_l2,
mu_rel=mu_rel2,
i(start=I2Start[1], fixed=I2Fixed[1])) annotation (Placement(transformation(extent={{-10,-20},{10,0}})));
Basic.ElectroMagneticConverterWithLeakageInductance winding23(
N=N2,
L=L_l2,
A=A_l2,
mu_rel=mu_rel2,
i(start=I2Start[1], fixed=I2Fixed[1])) annotation (Placement(transformation(extent={{110,-20},{130,0}})));
Modelica.Electrical.Analog.Basic.Resistor resistor11(
R=rho1*N1*L1/(pi/4*d1^2),
useHeatPort=true,
alpha=alpha1,
T_ref=293.15) annotation (Placement(transformation(extent={{-140,50},{-120,70}})));
Modelica.Electrical.Analog.Basic.Resistor resistor21(
R=rho2*N2*L2/(pi/4*d2^2),
useHeatPort=true,
alpha=alpha2,
T_ref=293.15) annotation (Placement(transformation(extent={{-120,-10},{-140,10}})));
Modelica.Electrical.Analog.Basic.Resistor resistor12(
R=rho1*N1*L1/(pi/4*d1^2),
useHeatPort=true,
alpha=alpha1,
T_ref=293.15) annotation (Placement(transformation(extent={{-40,50},{-20,70}})));
Modelica.Electrical.Analog.Basic.Resistor resistor22(
R=rho2*N2*L2/(pi/4*d2^2),
useHeatPort=true,
alpha=alpha2,
T_ref=293.15) annotation (Placement(transformation(extent={{-20,-10},{-40,10}})));
Modelica.Electrical.Analog.Basic.Resistor resistor23(
R=rho2*N2*L2/(pi/4*d2^2),
useHeatPort=true,
alpha=alpha2,
T_ref=293.15) annotation (Placement(transformation(extent={{100,-10},{80,10}})));
Modelica.Electrical.Analog.Basic.Resistor resistor13(
R=rho1*N1*L1/(pi/4*d1^2),
useHeatPort=true,
alpha=alpha1,
T_ref=293.15) annotation (Placement(transformation(extent={{80,50},{100,70}})));
Shapes.FixedShape.Cuboid leakage(
nonLinearPermeability=false,
mu_rConst=1,
l=l2,
a=a,
b=b/1000)
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={32,90})));
Modelica.Electrical.Analog.Interfaces.PositivePin p1 "Primary winding 1" annotation (Placement(transformation(extent={{-170,50},{-150,70}}), iconTransformation(extent={{-110,50},{-90,70}})));
Modelica.Electrical.Analog.Interfaces.PositivePin p2 "Primary winding 2" annotation (Placement(transformation(extent={{-70,50},{-50,70}}), iconTransformation(extent={{-110,-10},{-90,10}})));
Modelica.Electrical.Analog.Interfaces.PositivePin p3 "Primary winding 3" annotation (Placement(transformation(extent={{50,50},{70,70}}), iconTransformation(extent={{-110,-70},{-90,-50}})));
Modelica.Electrical.Analog.Interfaces.NegativePin n1 "Secondary winding 1"
annotation (Placement(transformation(extent={{-170,-10},{-150,10}}),
iconTransformation(extent={{90,50},{110,70}})));
Modelica.Electrical.Analog.Interfaces.NegativePin n2 "Secondary winding 2"
annotation (Placement(transformation(extent={{-70,-10},{-50,10}}),
iconTransformation(extent={{90,-10},{110,10}})));
Modelica.Electrical.Analog.Interfaces.NegativePin n3 "Secondary winding 3"
annotation (Placement(transformation(extent={{50,-10},{70,10}}),
iconTransformation(extent={{90,-70},{110,-50}})));
Modelica.Electrical.Analog.Interfaces.NegativePin starPoint2 "Star point of secondary windings" annotation (Placement(transformation(extent={{-120,-44},{-100,-24}}), iconTransformation(extent={{30,-110},{50,-90}})));
Modelica.Electrical.Analog.Interfaces.NegativePin starPoint1 "Star point of primary windings" annotation (Placement(transformation(extent={{-120,20},{-100,40}}), iconTransformation(extent={{-50,-110},{-30,-90}})));
equation
v1[1] =resistor11.p.v - winding11.n.v;
v1[2] =resistor12.p.v - winding12.n.v;
v1[3] =resistor13.p.v - winding13.n.v;
i1[1] =resistor11.i;
i1[2] =resistor12.i;
i1[3] =resistor13.i;
R1[1] =resistor11.R_actual;
R1[2] =resistor12.R_actual;
R1[3] =resistor13.R_actual;
v2[1] =resistor21.n.v - winding21.n.v;
v2[2] =resistor21.n.v - winding21.n.v;
v2[3] =resistor21.n.v - winding21.n.v;
i2[1] =resistor21.i;
i2[2] =resistor22.i;
i2[3] =resistor23.i;
R2[1] =resistor21.R_actual;
R2[2] =resistor22.R_actual;
R2[3] =resistor23.R_actual;
B[1] =core1.B;
B[2] =core2.B;
B[3] =core3.B;
Phi[1] =core1.Phi;
Phi[2] =core2.Phi;
Phi[3] =core3.Phi;
Hstat[1] =core1.Hstat;
Hstat[2] =core2.Hstat;
Hstat[3] =core3.Hstat;
Heddy[1] =core1.Heddy;
Heddy[2] =core2.Heddy;
Heddy[3] =core3.Heddy;
H[1] =core1.H;
H[2] =core2.H;
H[3] =core3.H;
Temp.T = if useHeatPort then T_heatPort else T;
LossPowerWinding =resistor11.LossPower + resistor12.LossPower + resistor13.LossPower + resistor21.LossPower + resistor22.LossPower + resistor23.LossPower;
LossPowerStat =core1.LossPowerStat +core2.LossPowerStat +core3.LossPowerStat;
LossPowerEddy =core1.LossPowerEddy +core2.LossPowerEddy +core3.LossPowerEddy;
LossPower = LossPowerWinding + LossPowerEddy + LossPowerStat;
connect(winding11.port_n, winding21.port_p) annotation (Line(points={{-90,40},{-90,0}}, color={255,127,0}));
connect(winding11.p, resistor11.n) annotation (Line(points={{-110,60},{-116,60},{-116,60},{-120,60}}, color={0,0,255}));
connect(resistor11.p, p1) annotation (Line(points={{-140,60},{-160,60}}, color={0,0,255}));
connect(winding12.p, resistor12.n) annotation (Line(points={{-10,60},{-16,60},{-16,60},{-20,60}}, color={0,0,255}));
connect(winding13.p, resistor13.n) annotation (Line(points={{110,60},{104,60},{104,60},{100,60}}, color={0,0,255}));
connect(winding12.port_p, core2.port_n) annotation (Line(points={{10,60},{10,82}}, color={255,127,0}));
connect(winding12.port_n, winding22.port_p) annotation (Line(points={{10,40},{10,0}}, color={255,127,0}));
connect(winding21.port_n, ground.port) annotation (Line(points={{-90,-20},{-90,-60},{10,-60}}, color={255,127,0}));
connect(ground.port, winding22.port_n) annotation (Line(points={{10,-60},{10,-20}}, color={255,127,0}));
connect(winding23.port_n, ground.port) annotation (Line(points={{130,-20},{130,-60},{10,-60}}, color={255,127,0}));
connect(winding23.port_p, winding13.port_n) annotation (Line(points={{130,0},{130,40}}, color={255,127,0}));
connect(winding13.port_p, core3.port_n) annotation (Line(points={{130,60},{130,114},{90,114}}, color={255,127,0}));
connect(p2, resistor12.p) annotation (Line(points={{-60,60},{-40,60}}, color={0,0,255}));
connect(p3, resistor13.p) annotation (Line(points={{60,60},{80,60}}, color={0,0,255}));
connect(Temp.port, resistor11.heatPort) annotation (Line(points={{-154,20},{-130,20},{-130,50}}, color={191,0,0}));
connect(resistor12.heatPort, Temp.port) annotation (Line(points={{-30,50},{-30,20},{-154,20}}, color={191,0,0}));
connect(resistor13.heatPort, Temp.port) annotation (Line(points={{90,50},{90,20},{-154,20}}, color={191,0,0}));
connect(resistor23.heatPort, Temp.port) annotation (Line(points={{90,-10},{46,-10},{46,20},{-154,20}}, color={191,0,0}));
connect(resistor22.heatPort, Temp.port) annotation (Line(points={{-30,-10},{-80,-10},{-80,20},{-154,20}}, color={191,0,0}));
connect(resistor21.heatPort, Temp.port) annotation (Line(points={{-130,-10},{-146,-10},{-146,20},{-154,20}}, color={191,0,0}));
connect(resistor21.p, winding21.p) annotation (Line(points={{-120,0},{-110,0},{-110,0}}, color={0,0,255}));
connect(resistor22.p, winding22.p) annotation (Line(points={{-20,0},{-10,0},{-10,0}}, color={0,0,255}));
connect(resistor23.p, winding23.p) annotation (Line(points={{100,0},{110,0},{110,0}}, color={0,0,255}));
connect(resistor21.n, n1) annotation (Line(points={{-140,0},{-160,0}}, color={0,0,255}));
connect(resistor22.n, n2) annotation (Line(points={{-40,0},{-60,0}}, color={0,0,255}));
connect(resistor23.n, n3) annotation (Line(points={{80,0},{60,0}}, color={0,0,255}));
connect(leakage.port_n, ground.port) annotation (Line(
points={{32,80},{32,-60},{10,-60}}, color={255,127,0}));
connect(winding11.port_p, core1.port_n) annotation (Line(points={{-90,60},{-90,114},{-50,114}}, color={255,127,0}));
connect(core1.port_p,core2. port_p) annotation (Line(
points={{-30,114},{10,114},{10,102}}, color={255,127,0}));
connect(core3.port_p,core1. port_p) annotation (Line(
points={{70,114},{-30,114}}, color={255,127,0}));
connect(leakage.port_p,core3. port_p) annotation (Line(
points={{32,100},{32,114},{70,114}}, color={255,127,0}));
connect(winding11.n, starPoint1) annotation (Line(points={{-110,40.2},{-110,30}}, color={0,0,255}));
connect(starPoint1, winding13.n) annotation (Line(points={{-110,30},{110,30},{110,40.2}}, color={0,0,255}));
connect(starPoint1, winding12.n) annotation (Line(points={{-110,30},{-10,30},{-10,40.2}}, color={0,0,255}));
connect(winding21.n, starPoint2) annotation (Line(points={{-110,-19.8},{-110,-34}}, color={0,0,255}));
connect(starPoint2, winding22.n) annotation (Line(points={{-110,-34},{-10,-34},{-10,-19.8}}, color={0,0,255}));
connect(winding23.n, starPoint2) annotation (Line(points={{110,-19.8},{110,-34},{-110,-34}}, color={0,0,255}));
annotation (defaultComponentName="transformer", Diagram(coordinateSystem(preserveAspectRatio=true, extent={{-200,
-200},{200,200}})), Icon(graphics={
Polygon(
points={{70,60},{50,40},{50,-40},{70,-60},{70,60}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder),
Polygon(
points={{-70,60},{-50,40},{-50,-40},{-70,-60},{-70,60}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder),
Rectangle(
extent={{-74,36},{-46,-36}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={128,0,255},
pattern=LinePattern.None),
Text(
extent={{150,130},{-150,90}},
textColor={0,0,255},
textString="%name"),
Polygon(
points={{-20,10},{0,-10},{0,-50},{-10,-60},{-20,-60},{-20,10}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder,
origin={-60,-40},
rotation=90),
Polygon(
points={{-10,40},{0,50},{10,40},{10,-40},{0,-50},{-10,-40},{-10,40}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder),
Polygon(
points={{-20,-10},{0,10},{0,50},{-10,60},{-20,60},{-20,-10}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder,
origin={60,-40},
rotation=90),
Polygon(
points={{20,10},{0,-10},{0,-50},{10,-60},{20,-60},{20,10}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder,
origin={-60,40},
rotation=90),
Polygon(
points={{20,-10},{0,10},{0,50},{10,60},{20,60},{20,-10}},
fillColor={255,128,0},
fillPattern=FillPattern.VerticalCylinder,
origin={60,40},
rotation=90),
Rectangle(
extent={{-80,26},{-40,-26}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={0,128,255},
pattern=LinePattern.None),
Rectangle(
extent={{-14,36},{14,-36}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={128,0,255},
pattern=LinePattern.None),
Rectangle(
extent={{-20,26},{20,-26}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={0,128,255},
pattern=LinePattern.None),
Rectangle(
extent={{46,36},{74,-36}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={128,0,255},
pattern=LinePattern.None),
Rectangle(
extent={{40,26},{80,-26}},
lineColor={0,0,0},
fillPattern=FillPattern.VerticalCylinder,
fillColor={0,128,255},
pattern=LinePattern.None)}),
Documentation(info="<html>
<p>
Simple model of a three-phase transformer with primary and a secondary windings and a magnetic E-I shaped core. The core is modeled with <a href=\"modelica://Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenEverett\">GenericHystTellinenEverett</a> flux tube elements. Thus, this model considers static and dynamic hysteresis as well as initial flux.
</p>
<table cellspacing=\"0\" cellpadding=\"2\" border=\"0\">
<caption><strong>Fig. 1:</strong> Sketch of the modelled transformer with magnetic core, primary and secondary winding</caption>
<tr>
<td>
<img src=\"modelica://Modelica/Resources/Images/Magnetic/FluxTubes/Examples/Hysteresis/Components/Transformer3PhaseYyWithHysteresis/Core_ThreePhase1.png\">
</td>
</tr>
</table>
</html>"));
end Transformer3PhaseYyWithHysteresis;