quasiRMS
activePower
symmetricOrientation
symmetricOrientationMatrix
symmetricTransformationMatrix
symmetricBackTransformationMatrix
numberOfSymmetricBaseSystems
factorY2D
factorY2DC
indexPositiveSequence
indexNonPositiveSequence
Functions for polyphase systems
Extends from Modelica.Icons.FunctionsPackage (Icon for packages containing functions).
| 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 |
| symmetricBackTransformationMatrix
|
Back transformation matrix for symmetrical components |
| numberOfSymmetricBaseSystems
|
Determines the number of symmetric 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 all positive sequences |
| indexNonPositiveSequence
|
Determines the indices of all non positive sequences |
Modelica.Electrical.Polyphase.Functions.quasiRMSCalculate continuous quasi RMS value of input
This function determines the continuous quasi RMS value of a polyphase 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).
| Name | Description |
|---|---|
| x[:] |
| Name | Description |
|---|---|
| y |
Modelica.Electrical.Polyphase.Functions.activePowerCalculate active power of voltage and current input
Calculates instantaneous power from polyphase voltages and currents. In quasi-static operation, instantaneous power equals active power;
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| v[:] | Phase voltages [V] |
| i[size(v, 1)] | Phase currents [A] |
| Name | Description |
|---|---|
| p | Active power [W] |
Modelica.Electrical.Polyphase.Functions.symmetricOrientationOrientations of the resulting fundamental wave field phasors
This function determines the orientation angles of the symmetrical winding with m phases.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| orientation[m] | Orientation of the resulting fundamental wave field phasors [rad] |
Modelica.Electrical.Polyphase.Functions.symmetricOrientationMatrixMatrix symmetric orientation angles for creating the symmetric transformation matrix
This function determines the orientation matrix of the symmetrical winding with m phases.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| oM[m, m] | Angles of symmetric transformation matrix [rad] |
Modelica.Electrical.Polyphase.Functions.symmetricTransformationMatrixTransformation matrix for symmetrical components
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.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| tM[m, m] | Transformation matrix for m phase symmetrical components |
Modelica.Electrical.Polyphase.Functions.symmetricBackTransformationMatrixBack transformation matrix for symmetrical components
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.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| bTM[m, m] | Back transformation matrix for m phase symmetrical components |
Modelica.Electrical.Polyphase.Functions.numberOfSymmetricBaseSystemsDetermines the number of symmetric base systems of m phase symmetric system
This function determines the number of base systems of the symmetrical winding with m phases.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| n | Number of symmetric base systems |
Modelica.Electrical.Polyphase.Functions.factorY2DCalculates factor Y voltage to polygon (delta) voltage
Calculates line-to-line voltage from line-to-neutral voltage.
For m>3 phases, more than one variant exists for the choice of the line-to-line voltage. If input kPolygon is not in the range of 1 ≤ kPolygon ≤ (mBasic - 1)/2, the function is evaluated for kPolygon = 1.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| kPolygon | Alternative of polygon |
| Name | Description |
|---|---|
| y | Factor Y to D |
Modelica.Electrical.Polyphase.Functions.factorY2DCCalculates factor of DC-voltage from RMS Y-voltage
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| y | Factor Yrms to DC |
Modelica.Electrical.Polyphase.Functions.indexPositiveSequenceDetermines the indices of all positive sequences
This function determines the indices of positive sequence of the symmetrical winding with m phases.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| ind[numberOfSymmetricBaseSystems(m)] | Number of symmetric base systems |
Modelica.Electrical.Polyphase.Functions.indexNonPositiveSequenceDetermines the indices of all non positive sequences
This function determines the indices of non-positive sequence of the symmetrical winding with m phases.
User's guide on symmetrical components and orientation.
Extends from Modelica.Icons.Function (Icon for functions).
| Name | Description |
|---|---|
| m | Number of phases |
| Name | Description |
|---|---|
| ind[numberOfSymmetricBaseSystems(m)*(integer(m/numberOfSymmetricBaseSystems(m)) - 1)] | Indices of non positive sequences |