modelSpacePhasor

Physical transformation: three-phase <-> space phasors

Information

Physical transformation of voltages and currents: three-phases <-> space phasors:
x[k] = X0 + {cos(-(k - 1)/m*2*pi),-sin(-(k - 1)/m*2*pi)}*X[Re,Im]
and vice versa:
X0 = sum(x[k])/m
X[Re,Im] = sum(2/m*{cos((k - 1)/m*2*pi),sin((k - 1)/m*2*pi)}*x[k])
were x designates three-phase values, X[Re,Im] designates the space phasor and X0 designates the zero sequence system.
Physical transformation means that both voltages and currents are transformed in both directions.
Zero-sequence voltage and current are present at pin zero. An additional zero-sequence impedance could be connected between pin zero and pin ground.

Parameters

TypeNameDefaultDescription
Integerm3Number of phases
RealturnsRatio1Turns ratio

Connectors

TypeNameDefaultDescription
Modelica.Electrical.Polyphase.Interfaces.PositivePlugplug_p
Modelica.Electrical.Polyphase.Interfaces.NegativePlugplug_n
Modelica.Electrical.Analog.Interfaces.PositivePinzero
Modelica.Electrical.Analog.Interfaces.NegativePinground
Machines.Interfaces.SpacePhasorspacePhasor

Components

TypeNameDefaultDescription
SI.Voltage[m]vInstantaneous phase voltages
SI.Current[m]iInstantaneous phase currents