WOLFRAM SYSTEMMODELER

# SpacePhasor

Physical transformation: three phase <-> space phasors

# Wolfram Language

In[1]:=
`SystemModel["Modelica.Electrical.Machines.SpacePhasors.Components.SpacePhasor"]`
Out[1]:=

# Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

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.

# Connectors (5)

plug_p Type: PositivePlug Description: Type: NegativePlug Description: Type: PositivePin Description: Type: NegativePin Description: Type: SpacePhasor Description:

# Parameters (3)

turnsRatio Value: 1 Type: Real Description: Turns ratio Value: 2 / m * {array(cos(+(k - 1) / m * 2 * pi) for k in 1:m), array(+sin(+(k - 1) / m * 2 * pi) for k in 1:m)} Type: Real[2,m] Description: Value: array({cos(-(k - 1) / m * 2 * pi), -sin(-(k - 1) / m * 2 * pi)} for k in 1:m) Type: Real[m,2] Description:

# Used in Components (6)

 AIM_SquirrelCage Asynchronous induction machine with squirrel cage rotor AIM_SlipRing Asynchronous induction machine with slipring rotor SM_PermanentMagnet Permanent magnet synchronous induction machine SM_ElectricalExcited Electrical excited synchronous induction machine with damper cage SM_ReluctanceRotor Synchronous induction machine with reluctance rotor and damper cage PartialBasicInductionMachine Partial model for induction machine