Analytical Modeling of a Six-Phase Bearingless Synchronous Reluctance Machine Using Winding Function Theory

This paper presents a modeling framework for bearingless synchronous reluctance machines that are equipped with a six-phase stator winding. The six-phase combined winding can be used to produce both electromagnetic torque and radial forces. Vector-space decomposition (or generalized space-vector transformation) and winding function theory are applied in the presented framework. To exemplify these concepts, a conceptual machine is studied by means of analytical expressions and by finite-element analysis. The presented framework can be used to develop dynamic models for other multiphase bearingless machines as well. Resulting dynamic models can be used in time-domain simulations and in development of real-time control algorithms.