ABSTRACT

In order for the transformation to be invertible, a third variable, known as the zero-sequence component, is added. The resulting transformation is

where represents voltage, current, flux linkages, or electric charge f and the transformation matrix, , is given by 0αβT

The inverse transformation is given by

10.3 Park’s Transformation In the late 1920s, R.H. Park [1] introduced a new approach to electric machine

analysis. He formulated a change of variables which replaced variables such as voltages, currents, and flux linkages associated with fictitious windings rotating with the rotor. He referred the stator and rotor variables to a reference frame fixed on the rotor. From the rotor point of view, all the variables can be observed as constant values. Park’s transformation, a revolution in machine analysis, has the unique property of eliminating all time varying inductances from the voltage equations of three-phase ac machines due to the rotor spinning.