Mathematical Modeling of High-Speed PMSM Considering Rotor Eddy Current Reaction Effect

This article presents an improved mathematical model of high-speed permanent magnet synchronous machine (PMSM), taking the rotor eddy current reaction effect into account. The conventional model (e.g. MATLAB/Simulink built-in PMSM model) is not capable of handling the high-frequency behaviors of the high-speed PMSM which involves rotor eddy current reaction field. Such behaviors include, for example, the decrease of armature winding inductance with frequency, and the increase of harmonic current amplitude under PWM voltage source inverter (VSI) power supply. In the improved model, the rotor eddy current reaction effect is modeled by setting up short-circuited virtual windings on the rotor reference frame. The parameters of the rotor virtual windings can be identified with a standstill frequency response (SSFR) test using either finite-element (FE) method or direct experimental measurement. Finally, the advantage of the improved PMSM model over the conventional one is verified with both SSFR and on-load experimental test with a 300 kW, 26 krpm high-speed PMSM prototype.