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αβγ to DQ0 Transformation



The transformation from the stationary reference frame to the rotating reference frame calculated as

\begin{bmatrix} x_d\\ x_q\\ x_0 \end{bmatrix} = \begin{bmatrix} cos(\Theta ) & sin(\Theta ) & 0 \\ -sin(\Theta )& cos(\Theta )& 0 \\ 0 & 0 & 1 \end{bmatrix} \cdot \begin{bmatrix} x_\alpha\\ x_\beta\\ x_\gamma \end{bmatrix}


Control > Transforms


Name Description
Alpha Alpha input signal
Beta Beta input signal
Gamma Gamma input signal
D D output signal
Q Q output signal
Zero 0 output signal
Angle Angle input signal [Rad]


Name Description
SamplingTime -none or 0: No sampling. The system will be solved in the Newton loop (default).
-auto: Inherit the sampling time of its source device.
-Sampling Period: defined in seconds.