PLECS 3.1 Online Help

Transformation RRF->3ph

Purpose

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

Library

Control / Transformations

Description

[Picture]

This block transforms a two-dimensional vector [xd xq]   in a rotating reference frame into a three-phase signal [ya yb yc]  . The first input of the block is the vector [xd xq]  . The second input is the rotation angle φ   of the rotating reference frame. φ   is given in radians.

⌊   ⌋  ⌊                            ⌋
|ya |  |     cos φ         - sin φ    |  [xd]
|⌈yb |⌉ = |⌈ cos(φ- 120∘) - sin(φ- 120∘)|⌉ ⋅
                   ∘              ∘     xq
 yc      cos(φ+ 120 ) - sin(φ+ 120 )

The resulting three-phase signal does not have any zero-sequence component.