Engee documentation

Inverse Clarke Transform

Transformation of coordinates from the coordinate system αß0 to abc.

blockType: SubSystem

inverse clarke transform

Path in the library:

/Physical Modeling/Electrical/Control/Mathematical Transforms/Inverse Clarke Transform

Description

Block Inverse Clarke Transform transforms components in the time domain in a stationary frame of reference c Three-phase components in the reference frame .

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

Below are shown:

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

    clarke transform 2

  • The direction of the magnetic axes of the stator windings in a stationary coordinate system and the coordinate system .

    clarke transform 1

Equations

The block implements the Clark transformation as follows:

Where

  • and are components in a stationary frame of reference;

  • — this is the zero component in a stationary frame of reference;

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

Ports

Input

αß0 is a vector that contains values in the αß0 pass coordinate sy\$
\$ vector

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

Data types: Float32, Float64

Output

abc is a vector that contains values in the abc pass coordinate sy\$
\$ 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.