Modeling and analysis of single-phase induction machines with dynamic phasors

In this paper we present applications of the phasor-dynamic (or generalized averaging) modeling technique to single-phase induction machines. We are interested in a derivation of large and small-signal models, as this class of machines exemplifies electromechanical systems in which lack of symmetry in the magnetic field produced by the windings prevents the use of standard simplifying assumptions (such as the smoothness of the electromagnetic torque). In the process we derive equivalent circuits that do not require superposition-type assumptions common in the literature. The simplest of these circuits coincides with the standard one. We also present and quantify refinements that could be useful for evaluation of efficiency, and in estimation and control of single-phase induction machines.