Modelica.Electrical.MultiPhase.Examples

Information

This package contains test examples of analog electrical multiphase circuits.

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name	Description
TransformerYY	Test example with multiphase components
TransformerYD	Test example with multiphase components
Rectifier	Test example with multiphase components

Modelica.Electrical.MultiPhase.Examples.TransformerYY

Information

Test example with multiphase components:
Star-connected voltage source feeds via a Y-Y-transformer with internal impedance (RT, LT) a load resistor RT.
Using f=5 Hz LT=3mH defines nominal voltage drop of approximately 10 %.
Simulate for 1 second (2 periods) and compare voltages and currents of source, transformer and load.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Type	Name	Default	Description
Integer	m	3	Number of phases
Voltage	V	1	Amplitude of Star-Voltage [V]
Frequency	f	5	Frequency [Hz]
Inductance	LT	0.003	Transformer stray inductance [H]
Resistance	RT	0.05	Transformer resistance [Ohm]
Resistance	RL	1	Load Resistance [Ohm]

Modelica definition

model TransformerYY "Test example with multiphase components"
  extends Modelica.Icons.Example;
  parameter Integer m=3 "Number of phases";
  parameter Modelica.SIunits.Voltage V=1 "Amplitude of Star-Voltage";
  parameter Modelica.SIunits.Frequency f=5 "Frequency";
  parameter Modelica.SIunits.Inductance LT=0.003 "Transformer stray inductance";
  parameter Modelica.SIunits.Resistance RT=0.05 "Transformer resistance";
  parameter Modelica.SIunits.Resistance RL=1 "Load Resistance";
  Sources.SineVoltage sineVoltage(
    V=fill(V, m),
    freqHz=fill(f, m),
    m=m);
  Basic.Star starS(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundS;
  Ideal.IdealTransformer idealTransformer(m=m);
  Basic.Star starT1(m=m);
  Basic.Star starT2(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundT2;
  Basic.Resistor transformerR(m=m, R=fill(RT, m));
  Basic.Inductor transformerL(m=m, L=fill(LT, m));
  Basic.Resistor loadR(m=m, R=fill(RL, m));
  Basic.Star starL(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundT1;
equation 
  connect(starS.pin_n, groundS.p);
  connect(starT1.pin_n,groundT1. p);
  connect(starT2.pin_n,groundT2. p);
  connect(starS.plug_p, sineVoltage.plug_n);
  connect(sineVoltage.plug_p, idealTransformer.plug_p1);
  connect(idealTransformer.plug_n1, starT1.plug_p);
  connect(starT2.plug_p, idealTransformer.plug_n2);
  connect(idealTransformer.plug_p2, transformerR.plug_p);
  connect(transformerR.plug_n, transformerL.plug_p);
  connect(transformerL.plug_n, loadR.plug_p);
  connect(loadR.plug_n, starL.plug_p);
end TransformerYY;

Modelica.Electrical.MultiPhase.Examples.TransformerYD

Information

Test example with multiphase components:
Star-connected voltage source feeds via a Y-D-transformer with internal impedance (RT, LT) a load resistor RT.
Using f=5 Hz LT=3mH defines nominal voltage drop of approximately 10 %.
Simulate for 1 second (2 periods) and compare voltages and currents of source, transformer and load.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Type	Name	Default	Description
Integer	m	3	Number of phases
Voltage	V	1	Amplitude of Star-Voltage [V]
Frequency	f	5	Frequency [Hz]
Inductance	LT	0.003	Transformer stray inductance [H]
Resistance	RT	0.05	Transformer resistance [Ohm]
Resistance	RL	1	Load Resistance [Ohm]
Real	nT	1/sqrt((1 - Modelica.Math.co...	Transformer ratio

Modelica definition

model TransformerYD "Test example with multiphase components"
  extends Modelica.Icons.Example;
  parameter Integer m=3 "Number of phases";
  parameter Modelica.SIunits.Voltage V=1 "Amplitude of Star-Voltage";
  parameter Modelica.SIunits.Frequency f=5 "Frequency";
  parameter Modelica.SIunits.Inductance LT=0.003 "Transformer stray inductance";
  parameter Modelica.SIunits.Resistance RT=0.05 "Transformer resistance";
  parameter Modelica.SIunits.Resistance RL=1 "Load Resistance";
  parameter Real nT=1/sqrt((1 - Modelica.Math.cos(2*Modelica.Constants.pi/m))
      ^2 + (Modelica.Math.sin(2*Modelica.Constants.pi/m))^2) 
    "Transformer ratio";
  Sources.SineVoltage sineVoltage(
    V=fill(V, m),
    freqHz=fill(f, m),
    m=m);
  Basic.Star starS(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundS;
  Ideal.IdealTransformer idealTransformer(m=m, n=fill(nT, m));
  Basic.Star starT(m=m);
  Basic.Delta deltaT2(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundT;
  Basic.Resistor transformerR(m=m, R=fill(RT/nT^2, m));
  Basic.Inductor transformerL(m=m, L=fill(LT/nT^2, m));
  Basic.Resistor loadR(m=m, R=fill(RL, m));
  Basic.Star starL(m=m);
  Modelica.Electrical.Analog.Basic.Ground groundL;
equation 
  connect(groundS.p, starS.pin_n);
  connect(groundT.p, starT.pin_n);
  connect(starS.plug_p, sineVoltage.plug_n);
  connect(sineVoltage.plug_p, idealTransformer.plug_p1);
  connect(idealTransformer.plug_n1, starT.plug_p);
  connect(idealTransformer.plug_p2, transformerR.plug_p);
  connect(transformerR.plug_n, transformerL.plug_p);
  connect(transformerL.plug_n, deltaT2.plug_p);
  connect(deltaT2.plug_n, idealTransformer.plug_n2);
  connect(deltaT2.plug_p, loadR.plug_p);
  connect(loadR.plug_n, starL.plug_p);
  connect(starL.pin_n, groundL.p);
end TransformerYD;

Modelica.Electrical.MultiPhase.Examples.Rectifier

Information

Test example with multiphase components:
Star-connected voltage source feeds via a line reactor a diode bridge rectifier with a DC burden.
Using f=5 Hz, simulate for 1 second (2 periods) and compare voltages and currents of source and DC burden, neglecting initial transient.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Type	Name	Default	Description
Integer	m	3	Number of phases
Voltage	V	1	Amplitude of Star-Voltage [V]
Frequency	f	5	Frequency [Hz]
Inductance	L	0.001	Line Inductance [H]
Resistance	RL	2	Load Resistance [Ohm]
Capacitance	C	0.05	Total DC-Capacitance [F]
Resistance	RE	1E6	Earthing Resistance [Ohm]

Modelica definition

model Rectifier "Test example with multiphase components"
  extends Modelica.Icons.Example;
  parameter Integer m=3 "Number of phases";
  parameter Modelica.SIunits.Voltage V=1 "Amplitude of Star-Voltage";
  parameter Modelica.SIunits.Frequency f=5 "Frequency";
  parameter Modelica.SIunits.Inductance L=0.001 "Line Inductance";
  parameter Modelica.SIunits.Resistance RL=2 "Load Resistance";
  parameter Modelica.SIunits.Capacitance C=0.05 "Total DC-Capacitance";
  parameter Modelica.SIunits.Resistance RE=1E6 "Earthing Resistance";
  Sources.SineVoltage sineVoltage(
    m=m,
    V=fill(V, m),
    freqHz=fill(f, m));
  Basic.Star starS(m=m);
  Basic.Inductor supplyL(m=m, L=fill(L, m));
  Ideal.IdealDiode idealDiode1(m=m);
  Basic.Star star1(m=m);
  Ideal.IdealDiode idealDiode2(m=m);
  Basic.Star star2(m=m);
  Modelica.Electrical.Analog.Basic.Resistor loadR(R=RL);
  Modelica.Electrical.Analog.Basic.Capacitor cDC1(C=2*C);
  Modelica.Electrical.Analog.Basic.Capacitor cDC2(C=2*C);
  Modelica.Electrical.Analog.Basic.Ground groundDC;
equation 
  connect(cDC1.n, cDC2.p);
  connect(cDC1.n, groundDC.p);
  connect(starS.plug_p, sineVoltage.plug_n);
  connect(sineVoltage.plug_p, supplyL.plug_p);
  connect(idealDiode1.plug_p, supplyL.plug_n);
  connect(idealDiode2.plug_n, supplyL.plug_n);
  connect(idealDiode1.plug_n, star1.plug_p);
  connect(idealDiode2.plug_p, star2.plug_p);
  connect(star2.pin_n, loadR.n);
  connect(star2.pin_n, cDC2.n);
  connect(star1.pin_n,loadR. p);
  connect(star1.pin_n, cDC1.p);
end Rectifier;