Transformation RRF->SRF

Purpose

Transform vector from rotating to stationary reference frame

Library

Control / Transformations

Description

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

\[\begin{split}\left[\!\! \begin{array}{c} y_\alpha \\ [0.2cm] y_\beta \end{array} \!\!\right] = \left[ \begin{array}{cc} \cos \varphi & -\sin \varphi\\ [0.2cm] \sin \varphi & \cos \varphi \end{array} \right] \cdot \left[\!\! \begin{array}{c} x_\mathrm{d} \\ [0.2cm] x_\mathrm{q} \end{array} \!\!\right]\end{split}\]