Three-phase equivalent circuits for network simulation of induction machines

For the investigation of power converters, network simulation programs may be skilful tools. On the other hand, induction machines are mostly described by differential equations. The combination of a converter and an induction machine may also be investigated in a network simulation program. However, in this case, the rotor position angle dependency of the mutual inductances between stator and rotor results in a lot of computation time. In this paper, three-phase equivalent circuits for induction machines (with accessible star connection point) are derived in which the rotor angle dependency is eliminated. Starting from a general description of an induction machine, the rotor angle dependency is eliminated by transforming (rotating) the rotor variables from the rotor to the stator reference system. Next, the circuit is simplified by referring the rotor quantities to the stator. At the end, this circuit is simplified for the case the star connection point is not used