Modeling of PMSMs Considering Spatial Harmonics, Interturn Short-Circuit Faults, and Zero-Sequence Components

This paper presents a rotor-position dependent (RPD) model for permanent-magnet synchronous machines (surface-mounted or interior permanent-magnet) considering both space harmonics, interturn short-circuit faults and zerosequence components. First, the healthy machine model is obtained. Magnetic saturation is disregarded such that the machine inductances depend only on the rotor position, allowing for a relatively straightforward derivation of the relations between flux-linkages, torque, currents, and rotor position using Fourier series. Secondly, the faulty machine rotor-position dependent model is derived assuming that the effect of the precise location of the faulty turns inside the slot is negligible. Thirdly, the impact of the precise location of the faulty turns inside the slot is evaluated. Finally, the rotor-position dependent model is validated with a finite-element model in Gmsh/GetDP and with experimental results obtained with an IPMSM rewound to allow emulation of interturn short-circuit. Comparison with the conventional constant-parameter (CP) model is also provided.