Vibration and noise analysis of non-sinusoidal multi-phase permanent magnet synchronous machines with fractional slot concentrated winding

The paper presents a detailed derivation and analysis of the mechanism for the generation of electromagnetic vibration in fractional slot concentrated winding (FSCW) multi-phase permanent magnet synchronous machines (PMSM) with non-sinusoidal back electromotive force, when operating with a supply of non-sinusoidal currents. Firstly, the magnetomotive force (MMF) generated by the stator windings is calculated and analyzed through the product of the winding function and the injected non-sinusoidal current. Secondly, considering the stator slotting effect, the radial electromagnetic force expression of a non-sinusoidal multi-phase PMSM with FSCW is derived based on Maxwell tensor method under the supply of non-sinusoidal currents. Finally, taking a five-phase PMSM with the non-sinusoidal electromotive force (EMF) and FSCW, a multi-physical field finite element model is established to analyze the radial electromagnetic force wave, vibration and noise response, thereby validating the correctness of the theoretical analysis.