Inverse Clarke Transform

Coordinate transformation from the coordinate system αβ0 to abc.

inverse clarke transform

Description

The Inverse Clarke Transform block converts time-domain components 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.
Direction of magnetic axes of stator windings in stationary coordinate system and coordinate system .

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.

Additional options

C code generation: Yes