Transformation SRF->RRF

Purpose

Transform vector from stationary to rotating reference frame

Library

Control / Transformations

Description

This block transforms a two-dimensional vector \([x_\alpha; x_\beta]\) in the stationary reference frame into a vector \([y_\mathrm{d}; y_\mathrm{q}]\) in a rotating reference frame. The first input is the vector \([x_\alpha; x_\beta]\). The second input is the angle \(\varphi\) between the rotating and the stationary frame. \(\varphi\) is given in radians.

\[\begin{split}\begin{bmatrix} y_\mathrm{d} \\ y_\mathrm{q} \end{bmatrix} = \begin{bmatrix} \cos \varphi & \sin \varphi\\ -\sin \varphi & \cos \varphi \end{bmatrix} \cdot \begin{bmatrix} x_\alpha \\ x_\beta \end{bmatrix}\end{split}\]