Engee documentation

Inverse Clarke Transform

Coordinate transformation from the coordinate system αβ0 to abc.

inverse clarke transform

Description

Block Inverse Clarke Transform converts components in the time domain in the stationary reference frame into three-phase components in the reference frame .

If the zero component is zero, the components of the three-phase system are balanced.

Shown below:

  • Balanced , and zero components in a stationary reference frame.

    clarke transform 2

  • Direction of magnetic axes of stator windings in stationary coordinate system and coordinate system .

    clarke transform 1

Equations

The block implements the Clarke transform as follows:

where

  • and are components in the stationary reference frame;

  • - is the zero component in the stationary reference frame;

  • , and are components of the three-phase system in the reference frame .

Ports

Input

αβ0 is a vector that contains values in the αβ0 coordinate system
vector

Components of the three-phase system in the coordinate system .

Data types: Float32, Float64

Output

abc - vector that contains values in abc coordinate system
vector

Components of a three-phase system in the coordinate system .

Data types: Float32, Float64

References

  1. Krause, P., O. Wasynczuk, S. D. Sudhoff, and S. Pekarek. Analysis of Electric Machinery and Drive Systems. Piscatawy, NJ: Wiley-IEEE Press, 2013.