4.1.1 Clarke Transformation

The three-phase quantities are translated from the three-phase reference frame to the two-axis orthogonal stationary reference frame using Clarke transformation, as shown in the following figure.

Figure 4-2. Clarke and Inverse Clarke Computation

The general equation for Clarke transformation is:

Where,

a, b, and c are three-phase quantities and α and ß are two-phase orthogonal quantities.

Using a + b + c = 0, simplify the equations.