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