Modelica.Electrical.Machines.SpacePhasors.Blocks

Information

• ToSpacePhasor: transforms a set of threephase values to space phasor and zero sequence system
• FromSpacePhasor: transforms a space phasor and zero sequence system to a set of threephase values
• Rotator: rotates a space phasor (from one coordinate system into another)
• ToPolar: Converts a space phasor from rectangular coordinates to polar coordinates
• FromPolar: Converts a space phasor from polar coordinates to rectangular coordinates

Extends from Modelica.Icons.Library (Icon for library).

Package Content

Name	Description
ToSpacePhasor	Conversion: three phase -> space phasor
FromSpacePhasor	Conversion: space phasor -> three phase
Rotator	Rotates space phasor
ToPolar	Converts a space phasor to polar coordinates
FromPolar	Converts a space phasor from polar coordinates

Modelica.Electrical.Machines.SpacePhasors.Blocks.ToSpacePhasor

Information

Extends from Modelica.Blocks.Interfaces.MIMO (Multiple Input Multiple Output continuous control block).

Parameters

Type	Name	Default	Description
Integer	nin	m	Number of inputs
Integer	nout	2	Number of outputs

Connectors

Type	Name	Description
input RealInput	u[nin]	Connector of Real input signals
output RealOutput	y[nout]	Connector of Real output signals
output RealOutput	zero

Modelica definition

block ToSpacePhasor "Conversion: three phase -> space phasor"
  extends Modelica.Blocks.Interfaces.MIMO(final nin=m, final nout=2);
  constant Integer m=3 "number of phases";
  constant Real pi=Modelica.Constants.pi;
protected 
  parameter Real TransformationMatrix[ 2, m]=2/m*
    {{cos(+(k - 1)/m*2*pi) for k in 1:m}, {+sin(+(k - 1)/m*2*pi) for k in 1:m}};
  parameter Real InverseTransformation[m, 2]=
    {{cos(-(k - 1)/m*2*pi), -sin(-(k - 1)/m*2*pi)} for k in 1:m};
public 
  Modelica.Blocks.Interfaces.RealOutput zero;

equation 
  zero = 1/m*sum(u);
  y = TransformationMatrix *u;
//u = fill(zero,m) + InverseTransformation*y;
end ToSpacePhasor;

Modelica.Electrical.Machines.SpacePhasors.Blocks.FromSpacePhasor

Information

Extends from Modelica.Blocks.Interfaces.MIMO (Multiple Input Multiple Output continuous control block).

Parameters

Type	Name	Default	Description
Integer	nin	2	Number of inputs
Integer	nout	m	Number of outputs

Connectors

Type	Name	Description
input RealInput	u[nin]	Connector of Real input signals
output RealOutput	y[nout]	Connector of Real output signals
input RealInput	zero

Modelica definition

block FromSpacePhasor "Conversion: space phasor -> three phase"
  extends Modelica.Blocks.Interfaces.MIMO(final nin=2, final nout=m);
  constant Integer m=3 "number of phases";
  constant Real pi=Modelica.Constants.pi;
protected 
  parameter Real TransformationMatrix[ 2, m]=2/m*
    {{cos(+(k - 1)/m*2*pi) for k in 1:m}, {+sin(+(k - 1)/m*2*pi) for k in 1:m}};
  parameter Real InverseTransformation[m, 2]=
    {{cos(-(k - 1)/m*2*pi), -sin(-(k - 1)/m*2*pi)} for k in 1:m};
public 
  Modelica.Blocks.Interfaces.RealInput zero;
equation 
  y = fill(zero,m) + InverseTransformation*u;
//zero = 1/m*sum(y);
//u = TransformationMatrix *y;
end FromSpacePhasor;

Modelica.Electrical.Machines.SpacePhasors.Blocks.Rotator

Information

Extends from Modelica.Blocks.Interfaces.MIMOs (Multiple Input Multiple Output continuous control block with same number of inputs and outputs).

Parameters

Type	Name	Default	Description
Integer	n	2	Number of inputs (= number of outputs)

Connectors

Type	Name	Description
input RealInput	u[n]	Connector of Real input signals
output RealOutput	y[n]	Connector of Real output signals
input RealInput	angle

Modelica definition

block Rotator "Rotates space phasor"
  extends Modelica.Blocks.Interfaces.MIMOs(final n=2);
protected 
  Real RotationMatrix[2,2] = {{+cos(-angle),-sin(-angle)},{+sin(-angle),+cos(-angle)}};
//Real InverseRotator[2,2] = {{+cos(+angle),-sin(+angle)},{+sin(+angle),+cos(+angle)}};
public 
  Modelica.Blocks.Interfaces.RealInput angle;
equation 
  y = RotationMatrix*u;
//u = InverseRotator*y;
end Rotator;

Modelica.Electrical.Machines.SpacePhasors.Blocks.ToPolar

Information

Extends from Modelica.Blocks.Interfaces.MIMOs (Multiple Input Multiple Output continuous control block with same number of inputs and outputs).

Parameters

Type	Name	Default	Description
Integer	n	2	Number of inputs (= number of outputs)

Connectors

Type	Name	Description
input RealInput	u[n]	Connector of Real input signals
output RealOutput	y[n]	Connector of Real output signals

Modelica definition

block ToPolar "Converts a space phasor to polar coordinates"
  extends Modelica.Blocks.Interfaces.MIMOs(final n=2);
  constant Real small=Modelica.Constants.small;
equation 
  y[1] = sqrt(u[1]^2 + u[2]^2);
  y[2] = if noEvent(y[1] <= small) then 0 else Modelica.Math.atan2(u[2], u[1]);
/*
  if y[1] <= small then
    y[2] = 0;
  else
    if u[2] >= 0 then
      y[2] =  Modelica.Math.acos(u[1]/y[1]);
    else
      y[2] = -Modelica.Math.acos(u[1]/y[1]);
    end if;
  end if;
*/
end ToPolar;

Modelica.Electrical.Machines.SpacePhasors.Blocks.FromPolar

Information

Extends from Modelica.Blocks.Interfaces.MIMOs (Multiple Input Multiple Output continuous control block with same number of inputs and outputs).

Parameters

Type	Name	Default	Description
Integer	n	2	Number of inputs (= number of outputs)

Connectors

Type	Name	Description
input RealInput	u[n]	Connector of Real input signals
output RealOutput	y[n]	Connector of Real output signals

Modelica definition

block FromPolar "Converts a space phasor from polar coordinates"
  extends Modelica.Blocks.Interfaces.MIMOs(final n=2);
equation 
  y = u[1]*{cos(u[2]),sin(u[2])};
end FromPolar;