In a three-phase motor, the sum of three phase voltages or currents at any instant is equal to zero. Hence, it is sufficient to have only two currents or voltages to represent the motor behavior. However, the actual three-phase quantities are displaced by 120 and therefore, they are not completely decoupled. . In order to decouple the two-phases that are used to represent the motor dynamics, Clarke transformation is applied to a, b, c phases to transform them to alpha–beta vectors.