SpacePhasor

Physical transformation: three phase <-> space phasors

    SpacePhasor

Library

Electrical/Machines/SpacePhasors/Components

Description

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

SpacePhasor_0

NameLabelDescriptionData TypeValid Values

mo_m

m

Number of phases

Scalar

mo_turnsRatio

turnsRatio

Turns ratio

Scalar

mo_TransformationMatrix

TransformationMatrix

Matrix of size 2xN

mo_InverseTransformation

InverseTransformation

Matrix of size Mx2

SpacePhasor_1

NameLabelDescriptionData TypeValid Values

mo_v

v

v

Structure

mo_v/fixed

fixed

Cell of vectors

true
false

mo_v/start

start

Cell of vectors

mo_i

i

i

Structure

mo_i/fixed

fixed

Cell of vectors

true
false

mo_i/start

start

Cell of vectors

Ports

NameTypeDescriptionIO TypeNumber

plug_p

implicit

input

1

plug_n

implicit

output

1

zero

implicit

input

2

ground

implicit

output

2

spacePhasor

implicit

input

3