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ABC to DQ0 Transformation

Symbol

Description

The transformation from phase quantities to the rotating reference frame calculated as

\begin{bmatrix} d\\ q\\ 0 \end{bmatrix} = \frac{2}{3}\cdot \begin{bmatrix} \cos (\Theta ) & cos (\Theta - \frac{2\pi}{3})& cos (\Theta + \frac{2\pi}{3}) \\ -\sin (\Theta ) & -\sin (\Theta - \frac{2\pi}{3})& -\sin (\Theta + \frac{2\pi}{3}) \\ \frac{1}{2} & \frac{1}{2} & \frac{1}{2} \end{bmatrix} \cdot \begin{bmatrix} a\\ b\\ 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
Angle D ControlOut Angle [Radian]
D Q ControlOut D output signal
Q Zero ControlOut Q output signal
Zero Angle ControlIn 0 output signal

Default Size

Width Height
8 8