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ABC to αβγ Transformation

Symbol

Description

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

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

Library

Control > Transforms

Parameters

Property Display Name Parameter Type Description
SamplingTime Sampling Time [s] DoubleParameter Sampling Time

Pins

Property Pin Name Type Description
A A ControlIn A input signal
B B ControlIn B input signal
C C ControlIn C input signal
Alpha Alpha ControlOut Alpha output signal
Beta Beta ControlOut Beta output signal
Gamma Gamma ControlOut Gamma output signal

Default Size

Width Height
8 8