WOLFRAM SYSTEMMODELER

SpacePhasor

Physical transformation: three phase <-> space phasors

Wolfram Language

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SystemModel["Modelica.Electrical.Machines.SpacePhasors.Components.SpacePhasor"]
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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:

plug_n

Type: NegativePlug

Description:

zero

Type: PositivePin

Description:

ground

Type: NegativePin

Description:

spacePhasor

Type: SpacePhasor

Description:

Parameters (3)

turnsRatio

Value: 1

Type: Real

Description: Turns ratio

TransformationMatrix

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:

InverseTransformation

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