Clarke Transform
Coordinate transformation from abc coordinate system to αβ0.
Description
The Clarke Transform block converts components in the time domain of a three-phase system in the reference frame into components in the stationary reference frame .
For a balanced system, the zero component is zero.
Shown below are:
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Direction of magnetic axes of the stator windings in the coordinate system and coordinate system .
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Equivalent , and zero components.
Equations
The block implements the Clarke transform as follows:
where
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, and are the components of the three-phase system in the reference frame ;
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and are components of the two-coordinate system in the stationary reference frame;
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- is the zero component of the two-coordinate system in the stationary reference frame.