Modeling and analysis of a single-phase synchronous-reluctance machine including saturation effect

The modeling and analysis of a single-phase synchronous reluctance machine is problematic due to the asymmetry of the stator windings, the presence of a starting and/or running capacitor in the auxiliary winding, the nonuniform airgap and the nonnegligible airgap flux saturation. This paper presents the modeling and analysis of this machine accounting for main flux saturation effect while referring all the state variables to the rotor reference frame. The resulting nonlinear dynamic model is used to simulate starting transients and steady-state waveforms which are shown to compare favorably with experimental results. The model is then further simplified using the harmonic balance technique resulting in equations that give predictions of the asynchronous and synchronous performance of the machine. Steady-state simulation results compare fairly well with experiment.