Modelica.Electrical.QuasiStationary.SinglePhase.Utilities

Information

This package hosts utilities for test examples of quasi stationary single phase circuits. Quasi stationary theory for single phase circuits can be found in the references.

See also

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
IdealACDCConverter	Ideal AC DC converter
GraetzRectifier	Graetz rectifier bridge

Modelica.Electrical.QuasiStationary.SinglePhase.Utilities.IdealACDCConverter

Information

This is an ideal AC DC converter, based on a power balance between QS circuit and DC side. The paramater conversionFactor defines the ratio between averaged DC voltage and QS rms voltage. Furthermore, reactive power at the QS side is set to 0.

Note:

Of course no voltage or current ripple is present, neither at the QS side nor at the DC side. At the QS side, only base harmonics of voltage and current are taken into account. At the DC side, only the mean of voltage and current are taken into account.

Parameters

Type	Name	Default	Description
Real	conversionFactor		Ratio of DC voltage / QS rms voltage

Connectors

Type	Name	Description
PositivePin	pin_pQS
NegativePin	pin_nQS
PositivePin	pin_pDC
NegativePin	pin_nDC

Modelica definition

model IdealACDCConverter "Ideal AC DC converter"
  parameter Real conversionFactor "Ratio of DC voltage / QS rms voltage";
  import Modelica.ComplexMath.real;
  import Modelica.ComplexMath.imag;
  import Modelica.ComplexMath.conj;
  import Modelica.ComplexMath.'abs';
  import Modelica.ComplexMath.arg;
  Modelica.SIunits.ComplexVoltage  vQS= pin_pQS.v - pin_nQS.v "AC QS voltage";
  Modelica.SIunits.ComplexCurrent  iQS= pin_pQS.i "AC QS current";
  output Modelica.SIunits.Voltage vQSabs='abs'(vQS) "Abs(AC QS voltage)";
  output Modelica.SIunits.Current iQSabs='abs'(iQS) "Abs(AC QS current)";
  Modelica.SIunits.ComplexPower  sQS= vQS*conj(iQS) "AC QS apparent power";
  Modelica.SIunits.ActivePower pQS = real(sQS) "AC QS active power";
  Modelica.SIunits.ReactivePower qQS = imag(sQS) "AC QS reactive power";
  Modelica.SIunits.Voltage vDC = pin_pDC.v - pin_nDC.v "DC voltage";
  Modelica.SIunits.Current iDC = pin_pDC.i "DC current";
  Modelica.SIunits.Power pDC = vDC*iDC "DC power";
  Interfaces.PositivePin pin_pQS;
  Interfaces.NegativePin pin_nQS;
  Analog.Interfaces.PositivePin pin_pDC;
  Analog.Interfaces.NegativePin pin_nDC;
equation 
//QS balances
  Connections.branch(pin_pQS.reference, pin_nQS.reference);
  pin_pQS.reference.gamma = pin_nQS.reference.gamma;
  pin_pQS.i + pin_nQS.i = Complex(0);
//DC current balance
  pin_pDC.i + pin_nDC.i = 0;
//voltage relation
  vDC = 'abs'(vQS)*conversionFactor;
//power balance
  pQS + pDC = 0;
//define reactive power
  qQS = 0;
end IdealACDCConverter;

Modelica.Electrical.QuasiStationary.SinglePhase.Utilities.GraetzRectifier

Information

This is a so called Graetz-bridge, a single phase rectifier built from 4 diodes.

Connectors

Type	Name	Description
PositivePin	pin_pAC
NegativePin	pin_nAC
PositivePin	pin_pDC
NegativePin	pin_nDC

Modelica definition

model GraetzRectifier "Graetz rectifier bridge"
  Modelica.SIunits.Voltage vAC = pin_pAC.v - pin_nAC.v "AC voltage";
  Modelica.SIunits.Current iAC = pin_pAC.i "AC current";
  Modelica.SIunits.ActivePower pAC = vAC*iAC "AC power";
  Modelica.SIunits.Voltage vDC = pin_pDC.v - pin_nDC.v "DC voltage";
  Modelica.SIunits.Current iDC = pin_pDC.i "DC current";
  Modelica.SIunits.Power pDC = vDC*iDC "DC power";
  Analog.Interfaces.PositivePin pin_pAC;
  Analog.Interfaces.NegativePin pin_nAC;
  Analog.Interfaces.PositivePin pin_pDC;
  Analog.Interfaces.NegativePin pin_nDC;
  Analog.Ideal.IdealDiode idealDiode1;
  Analog.Ideal.IdealDiode idealDiode2;
  Analog.Ideal.IdealDiode idealDiode3;
  Analog.Ideal.IdealDiode idealDiode4;
equation 
  connect(idealDiode1.p, idealDiode3.n);
  connect(idealDiode2.p, idealDiode4.n);
  connect(idealDiode3.p, idealDiode4.p);
  connect(idealDiode1.n, idealDiode2.n);
  connect(pin_pAC, idealDiode1.p);
  connect(pin_nAC, idealDiode4.n);
  connect(idealDiode2.n, pin_pDC);
  connect(idealDiode4.p, pin_nDC);
end GraetzRectifier;