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Transformation 3ph->RRF

Purpose

Transform a three-phase signal into a rotating reference frame.

Library

Control / Transformations

Description

[Picture]

This block transforms a three-phase signal [xa xb xc]   into a two-dimensional vector [yd yq]   in a rotating reference frame. The first input is the three-phase signal. The second input is the rotation angle φ   of the rotating reference frame. φ   is given in radians.

         ⌊                           ⌋ T⌊   ⌋
[  ]          cosφ          - sinφ        xa
 yd  = 2 ||cos(φ - 120∘)  - sin(φ - 120∘)|| ⋅|| xb||
 yq    3 ⌈          ∘               ∘⌉  ⌈   ⌉
          cos(φ + 120 )  - sin(φ + 120)     xc

Any zero-sequence component in the three-phase signals is discarded.