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

Name	Description
`activePower`	Calculate active power of voltage and current input
`factorY2D`	Calculates factor Y voltage to polygon (delta) voltage
`factorY2DC`	Calculates factor of DC-voltage from RMS Y-voltage
`indexNonPositiveSequence`	Determines the indices of all non positive sequences
`indexPositiveSequence`	Determines the indices of the all positive sequences
`numberOfSymmetricBaseSystems`	Determines the number of symmetric base systems of m phase symmetric system
`quasiRMS`	Calculate continuous quasi RMS value of input
`symmetricBackTransformationMatrix`	Back transformation matrix for symmetrical components
`symmetricOrientation`	Orientations of the resulting fundamental wave field phasors
`symmetricOrientationMatrix`	Matrix symmetric orientation angles for creating the symmetric transformation matrix
`symmetricTransformationMatrix`	Transformation 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

Type	Name	Description
`Real`	`x[:]`

Outputs

Type	Name	Description
`Real`	`y`

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

Type	Name	Description
`Voltage`	`v[:]`	Phase voltages
`Current`	`i[size(v, 1)]`	Phase currents

Outputs

Type	Name	Description
`Power`	`p`	Active 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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Angle`	`orientation[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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Angle`	`oM[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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Complex`	`tM[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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Complex`	`bTM[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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Integer`	`n`	Number 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

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Real`	`y`	Factor 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

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Real`	`y`	Factor 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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Integer`	`ind[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.

Inputs

Type	Name	Description
`Integer`	`m`	Number of phases

Outputs

Type	Name	Description
`Integer`	`ind[numberOfSymmetricBaseSystems(m) * (integer(m / numberOfSymmetricBaseSystems(m)) - 1)]`	Indices of non positive sequences

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

Information

Package Contents

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

Information

Inputs

Outputs

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

Information

Inputs

Outputs

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

Information

See also

Inputs

Outputs

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

Information

See also

Inputs

Outputs

Function Modelica.​Electrical.​MultiPhase.​Functions.​symmetricTransformationMatrixTransformation matrix for symmetrical components

Information

See also

Inputs

Outputs

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

Information

See also

Inputs

Outputs

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

Information

See also

Inputs

Outputs

Function Modelica.​Electrical.​MultiPhase.​Functions.​factorY2DCalculates factor Y voltage to polygon (delta) voltage

Information

Inputs

Outputs

Function Modelica.​Electrical.​MultiPhase.​Functions.​factorY2DCCalculates factor of DC-voltage from RMS Y-voltage

Information

Inputs

Outputs

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

Information

See also

Inputs

Outputs

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

Information

See also

Inputs

Outputs

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

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

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

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

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

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

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

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

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

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

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

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