Package Modelica.​Electrical.​MultiPhase.​Functions
Functions for multi phase systems

Information

Standard package icon.

Extends from Modelica.​Icons.​FunctionsPackage (Icon for packages containing functions).

Package Contents

NameDescription
activePowerCalculate active power of voltage and current input
factorY2DCalculates factor Y voltage to polygon (delta) voltage
factorY2DCCalculates factor of DC-voltage from RMS Y-voltage
indexNonPositiveSequenceDetermines the indices of all non positive sequences
indexPositiveSequenceDetermines the indices of the all positive sequences
numberOfSymmetricBaseSystemsDetermines the number of symmetric base systems of m phase symmetric system
quasiRMSCalculate continuous quasi RMS value of input
symmetricBackTransformationMatrixBack transformation matrix for symmetrical components
symmetricOrientationOrientations of the resulting fundamental wave field phasors
symmetricOrientationMatrixMatrix symmetric orientation angles for creating the symmetric transformation matrix
symmetricTransformationMatrixTransformation matrix for symmetrical components

Function Modelica.​Electrical.​MultiPhase.​Functions.​quasiRMS
Calculate continuous quasi RMS value of input

Information

This function determines the continuous quasi RMS value of a multi phase system, representing an equivalent RMS vector or phasor. If the waveform of the input deviates from a sine curve, the output of the sensor will not be exactly the average RMS value.

 y = sqrt(sum(u[k]^2 for k in 1:m)/m)

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
Realx[:] 

Outputs

TypeNameDescription
Realy 

Function Modelica.​Electrical.​MultiPhase.​Functions.​activePower
Calculate active power of voltage and current input

Information

Calculates instantaneous power from multiphase voltages and currents. In quasistationary operation, instantaneous power equals active power;

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
Voltagev[:]Phase voltages
Currenti[size(v, 1)]Phase currents

Outputs

TypeNameDescription
PowerpActive power

Function Modelica.​Electrical.​MultiPhase.​Functions.​symmetricOrientation
Orientations of the resulting fundamental wave field phasors

Information

This function determines the orientation angles of the symmetrical winding with m phases.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
Angleorientation[m]Orientation of the resulting fundamental wave field phasors

Function Modelica.​Electrical.​MultiPhase.​Functions.​symmetricOrientationMatrix
Matrix symmetric orientation angles for creating the symmetric transformation matrix

Information

This function determines the orientation matrix of the symmetrical winding with m phases.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
AngleoM[m,m]Angles of symmetric transformation matrix

Function Modelica.​Electrical.​MultiPhase.​Functions.​symmetricTransformationMatrix
Transformation matrix for symmetrical components

Information

This function determines the transformation matrix of the symmetrical winding with m phases.

The transformation matrix can be used to determine the symmetrical components from time phasors.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
ComplextM[m,m]Transformation matrix for m phase symmetrical components

Function Modelica.​Electrical.​MultiPhase.​Functions.​symmetricBackTransformationMatrix
Back transformation matrix for symmetrical components

Information

This function determines the back transformation matrix of the symmetrical winding with m phases.

The back transformation matrix can be used to determine the time phasors from the symmetrical components.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
ComplexbTM[m,m]Back transformation matrix for m phase symmetrical components

Function Modelica.​Electrical.​MultiPhase.​Functions.​numberOfSymmetricBaseSystems
Determines the number of symmetric base systems of m phase symmetric system

Information

This function determines the number of base systems of the symmetrical winding with m phases.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
IntegernNumber of symmetric base systems

Function Modelica.​Electrical.​MultiPhase.​Functions.​factorY2D
Calculates factor Y voltage to polygon (delta) voltage

Information

This icon indicates Modelica functions.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
RealyFactor Y to D

Function Modelica.​Electrical.​MultiPhase.​Functions.​factorY2DC
Calculates factor of DC-voltage from RMS Y-voltage

Information

This icon indicates Modelica functions.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
RealyFactor Yrms to DC

Function Modelica.​Electrical.​MultiPhase.​Functions.​indexPositiveSequence
Determines the indices of the all positive sequences

Information

This function determines the indices of positive sequence of the symmetrical winding with m phases.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
Integerind[numberOfSymmetricBaseSystems(m)]Number of symmetric base systems

Function Modelica.​Electrical.​MultiPhase.​Functions.​indexNonPositiveSequence
Determines the indices of all non positive sequences

Information

This function determines the indices of non-positive sequence of the symmetrical winding with m phases.

See also

User's guide on symmetrical components and orientation.

Extends from Modelica.​Icons.​Function (Icon for functions).

Inputs

TypeNameDescription
IntegermNumber of phases

Outputs

TypeNameDescription
Integerind[numberOfSymmetricBaseSystems(m) * (integer(m / numberOfSymmetricBaseSystems(m)) - 1)]Indices of non positive sequences