Modeling and analysis of a two-phase induction machine with nonorthogonal stator windings

This paper extends the stationary reference frame of P.C. Krausse et al. (1995), to the modeling and analysis of the torque behavior of a two-phase unsymmetrical induction machine with a shifted auxiliary winding. By computer simulation, compared with experimental results, the influence of the electrical auxiliary phase stator shift over the machine's torque and currents is verified. The analysis is made for steady-state and transient state operation. The two-phase induction machine (TPIM) is widely used in many light-duty applications where three-phase supply is not readily available. During the development of such a machine, there are several options, including the spatial placement of the auxiliary winding. The torque-slip characteristics can be manipulated by shifting the auxiliary winding from the quadrature position. The analysis of the single-phase or two-phase induction machine with a shifted auxiliary winding was made by including time domain equivalent circuit, symmetrical components, or multiple reference frames. The first two methods are acceptable for analyzing the steady-state performance of the machine, while the third method involves too many equations and variables in order to describe the dynamic performance of the TPIM.