Modelica.Electrical.Machines.SpacePhasors.Functions

Functions for space phasor transformation

Information

This package contains space phasor transformation functions for use in calculations:

ToSpacePhasor: transforms a set of three-phase values to space phasor and zero sequence system
FromSpacePhasor: transforms a space phasor and zero sequence system to a set of three-phase 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

Space phasors are defined as vectors of length = 2, the first element representing the real part and the second element representing the imaginary part of the space phasor.

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

Package Content

Name	Description
ToSpacePhasor	Conversion from polyphase input to space phasor and zero sequence component
FromSpacePhasor	Conversion from space phasor and zero sequence component to polyphase
Rotator	Rotates space phasor
ToPolar	Converts a space phasor to polar coordinates
FromPolar	Converts a space phasor from polar coordinates
quasiRMS	Calculate quasi-RMS value of input
activePower	Calculate active power of voltage and current input

Modelica.Electrical.Machines.SpacePhasors.Functions.ToSpacePhasor

Conversion from polyphase input to space phasor and zero sequence component

Information

Transformation of polyphase values (of voltages or currents) to space phasor and zero sequence value.

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

Inputs

Name	Description
x[:]	Polyphase (voltage or current) input

Outputs

Name	Description
y[2]	Space phasor
y0	Zero sequence component (of voltage or current)

Modelica.Electrical.Machines.SpacePhasors.Functions.FromSpacePhasor

Conversion from space phasor and zero sequence component to polyphase

Information

Transformation of space phasor and zero sequence value to polyphase values (of voltages or currents).

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

Inputs

Name	Description
x[2]	Space phasor
x0	Zero sequence component
m	Number of phases

Outputs

Name	Description
y[m]	Polyphase output

Modelica.Electrical.Machines.SpacePhasors.Functions.Rotator

Rotates space phasor

Information

Rotates a space phasor (voltage or current) input u by the angle in negative mathematical direction. This block represents the transformation of one space phasor u from one rotating reference (coordinate) frame into another where the space phasor is y. The output reference frame leads the input reference frame by angle angle.

**Fig. 1:** Original and rotated reference frame of a space phasor

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

Inputs

Name	Description
x[2]	Input space phasor
angle	Input angle of rotation [rad]

Outputs

Name	Description
y[2]	Output space phasor

Modelica.Electrical.Machines.SpacePhasors.Functions.ToPolar

Converts a space phasor to polar coordinates

Information

Converts a space phasor from rectangular coordinates to polar coordinates, providing angle=0 for {0,0}.

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

Inputs

Name	Description
x[2]	Real and imaginary part of space phasor

Outputs

Name	Description
absolute	Magnitude of space phasor
angle	Angle of space phasor [rad]

Modelica.Electrical.Machines.SpacePhasors.Functions.FromPolar

Converts a space phasor from polar coordinates

Information

Converts a space phasor from polar coordinates to rectangular coordinates.

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

Inputs

Name	Description
absolute	Magnitude of space phasor
angle	Angle of space phasor [rad]

Outputs

Name	Description
x[2]	Real and imaginary part of space phasor

Modelica.Electrical.Machines.SpacePhasors.Functions.quasiRMS

Calculate quasi-RMS value of input

Information

Transformation of m phase values (voltages or currents) to space phasor and calculate length of space phasor / sqrt(2).

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

Inputs

Name	Description
x[3]

Outputs

Name	Description
y

Modelica.Electrical.Machines.SpacePhasors.Functions.activePower

Calculate active power of voltage and current input

Information

Transformation of three-phase voltages and currents to space phasors and calculate active power.

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

Inputs

Name	Description
v[m]	Phase voltages [V]
i[m]	Phase currents [A]

Outputs

Name	Description
p	Active power [W]

Automatically generated Thu Oct 1 16:07:42 2020.