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αβγ to ABC Transformation

Symbol

Description

The projection of the stationary two-axis reference frame onto the three-phase quantities calculated as

\begin{bmatrix} x_a\\ x_b\\ x_c \end{bmatrix} = \begin{bmatrix} 1 & 0 & 1 \\ -\frac{1}{2}& \frac{\sqrt{3}}{2}& 1 \\ -\frac{1}{2} & -\frac{\sqrt{3}}{2} & 1 \end{bmatrix} \cdot \begin{bmatrix} x_\alpha\\ x_\beta\\ x_\gamma \end{bmatrix}

Library

Control > Transforms

Pins

Name Description
Alpha Alpha input signal
Beta Beta input signal
Gamma Gamma input signal
A A output signal
B B output signal
C C output signal

Parameters

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.