Modeling of a Dual-Stator-Winding Induction Machine Including the Effect of Main Flux Linkage Magnetic Saturation

The air-gap flux linkage of a dual-stator-winding squirrel-cage induction machine comprises of four fundamental flux components due to the currents flowing in the two stator windings with P
₁
and P
₂
pole numbers and the currents that they induce in the squirrel cage. In view of the dissimilar pole numbers of the stator windings and frequencies of the supply voltages, the air-gap flux linkage waveform is complex, particularly when the stator and rotor teeth are saturated. This paper explores this complexity using analytic computer simulation, finite-element analysis, and some experimental results. Furthermore, a fundamental component circuit model of the machine is set forth, which, with the use of a specially defined reference frame transformation, permits an accurate simulation of the transient and dynamic characteristics. Computer simulation results are validated by some experimental results obtained from a 2-hp machine.