2.1.2 Park Transformation

The Park Transformation transforms electrical signals from the two-axis orthogonal stationary reference frame (αβ) to the two-axis orthogonal rotating reference frame (dq) as shown in the following figure.

The transform is expressed by the following equations:

${\displaystyle I_d=i_{\alpha }\cos \theta +i_{\beta }\sin \theta }$

${\displaystyle I_q=-i_{\alpha }\sin \theta +i_{\beta }\cos \theta }$

Where:

i_α and i_β are currents in two-axis orthogonal αβ reference frame,I_d and I_q are currents in the two-axis orthogonal dq rotating reference frame.