Power System Blockset    
dq0_to_abc Transformation

Perform a Park transformation from the dq0 reference frame to the abc reference frame.

Library

powerlib_extras/Measurements

Description

This block performs the reverse of the so called Park transformation which is commonly used in three-phase electric machine models. It transforms three quantities (direct axis, quadratic axis and zero-sequence components) expressed in a two-axis reference frame back to phase quantities. The following transformation is used.

where

The quantities in the equations represents voltages. The transformation is the same for a three-phase current, but with the Ia Ib Ic and Id Iq and I0 variables.

In case of a synchronous machine, the stator quantities are referred to the rotor. The Park transformation then eliminates time-varying inductances by referring the stator and rotor quantities to a fixed or rotating reference frame. The Id and Iq currents represent the two DC currents flowing in the two equivalent rotor windings (d winding on the same axis as the field winding, and q winding in quadratic) producing the same flux as the stator Ia, Ib and Ic currents.

Dialog Box

Inputs and Outputs

dq0

Connect to the first input the vectorized signal containing the sequence components [d q 0] to be converted.

sin_cos

Connect to the second input a vectorized signal containing the [sin(t) cos(t)] values, where is the rotation speed of the reference frame.

abc

The output is a vectozized signal containing the three phase sinusoidal quantities [phase A phase B, phase C].

Example

See the demo of the abc_to_dq Transformation block for an example using the dq_to_abc Transformation block.

See Also

abc_to_dq Transformation


 Distributed Parameter Line Excitation System