Modelica.Electrical.MultiPhase.Functions

Functions for multi phase systems

Information

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

Package Content

Name	Description
quasiRMS	Calculate continuous quasi RMS value of input
activePower	Calculate active power of voltage and current input
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
numberOfSymmetricBaseSystems	Determines the number of symmeric base systems of m phase symmetric system
factorY2D	Calculates factor Y voltage to polygon (delta) voltage
factorY2DC	Calculates factor of DC-voltage from RMS Y-voltage
indexPositiveSequence	Determines the indices of the all positive sequences
indexNonPositiveSequence	Determines the indices of all non positive sequences

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

Outputs

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).

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Outputs

Modelica.Electrical.MultiPhase.Functions.symmetricOrientation

Orientations of the resulting fundamental wave field phasors

Information

This function determines the orientation of the symmetrical winding with phases. For an odd number of phases the difference of the windings angles of two adjacent phases is . In case of an even number of phases the aligned orientation of winding is not modeled since they do not add any information. Instead the windings are divided into two different groups. The first group refers to the indices . The second group covers the indices . The difference of the windings angles of two adjacent phases - of both the first and the second group, respectively - is . The phase shift of the two groups is .

See also

User's guide on multi phase winding,

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.symmetricOrientationMatrix

Matrix symmetric orientation angles for creating the symmetric transformation matrix

Information

This function determines the orientation of the symmetrical winding with phases. For an odd number of phases the difference of the windings angles of two adjacent phases is . In case of an even number of phases the aligned orientation of winding is not modeled since they do not add any information. Instead the windings are divided into two different groups. The first group refers to the indices . The second group covers the indices . The difference of the windings angles of two adjacent phases - of both the first and the second group, respectively - is . The phase shift of the two groups is .

See also

User's guide on multi phase winding, [Vaske1963.

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.symmetricTransformationMatrix

Transformation matrix for symmetrical components

Information

This function determines the orientation of the symmetrical winding with phases. For an odd number of phases the difference of the windings angles of two adjacent phases is . In case of an even number of phases the aligned orientation of winding is not modeled since they do not add any information. Instead the windings are divided into two different groups. The first group refers to the indices . The second group covers the indices . The difference of the windings angles of two adjacent phases - of both the first and the second group, respectively - is . The phase shift of the two groups is .

See also

User's guide on multi phase winding,

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.numberOfSymmetricBaseSystems

Determines the number of symmeric base systems of m phase symmetric system

Information

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.factorY2D

Calculates factor Y voltage to polygon (delta) voltage

Information

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.factorY2DC

Calculates factor of DC-voltage from RMS Y-voltage

Information

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.indexPositiveSequence

Determines the indices of the all positive sequences

Information

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

Inputs

Outputs

Modelica.Electrical.MultiPhase.Functions.indexNonPositiveSequence

Determines the indices of all non positive sequences

Information

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

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Outputs