Analytical Investigation of Sideband Electromagnetic Vibration in Integral-Slot PMSM Drive With SVPWM Technique

Abstract

This paper provides a comprehensive investigation into the electromagnetic vibration associated with the sideband harmonic components introduced by space vector pulse width modulation applied in integral-slot permanent magnet synchronous machine drives. The critical permanent magnet, armature reaction, and sideband magnetic field components, which are the primary causes for sideband electromagnetic vibration in integral-slot permanent magnet synchronous machines, are identified. The analytical derivations of the magnetic field components are carried out, and amplitudes and frequencies of the resultant sideband radial electromagnetic force components are obtained. Furthermore, the proposed models of the sideband radial electromagnetic force components are incorporated into the vibration model to analytically evaluate the corresponding sideband electromagnetic vibrations of the machine. Experimental tests on an integral-slot permanent magnet synchronous machine drive are comprehensively performed to confirm the validity and accuracy of the analytical models. Not only can the validated analytical models offer insightful details in understanding the impacts of the key factors, such as operation conditions, machine geometry, electromagnetic and power converter parameters, on the sideband electromagnetic vibration, but also can be readily extended to assess and reduce noise in integral-slot permanent magnet synchronous machine drives.

Investigation of Magnetic Field Interharmonics and Sideband Vibration in the FSCW IPMSM Drive With the SPWM Technique

“…The existing studies on such high-frequency characteristics are mainly devoted to induction machine drive systems [19]- [21]. Not until quite recently have there been particular investigations on full direct analytical derivations of sideband vibration [22] at PMSM drive systems with the space-vector pulse width modulation (SVPWM) technique, based on the analytical sideband current model [23], [24]. The discussion is only confined to integral-slot configuration, and the method cannot be directly extended to cover FSCW configuration [22].…”

“…Not until quite recently have there been particular investigations on full direct analytical derivations of sideband vibration [22] at PMSM drive systems with the space-vector pulse width modulation (SVPWM) technique, based on the analytical sideband current model [23], [24]. The discussion is only confined to integral-slot configuration, and the method cannot be directly extended to cover FSCW configuration [22]. The vibration model in FSCW PMSMs is far more complex due to the abundant interharmonics introduced by the peculiar winding configuration.…”

“…The frequency ω κ can be either positive or negative, which represents the rotational direction of the magnetic field with reference to the fundamental component. It can be observed from (1) that the average magnetic permeance Λ 0 is the predominant component for interharmonics in FSCW PMSMs, similar to the fundamental magnetic field component in [22]. For the sake of simplicity, only this part is taken into account for the permeance analysis.…”

“…With the same procedure of the sideband magnetic field in SVPWM [22], the corresponding components in SPWM can be presented as…”

“…Based on the proposed radial force model, the sideband vibration of SPWM can be derived by the analytical vibration model [22], [25]. In order to improve the prediction accuracy, the mechanical finite-element analysis (FEA) is employed for the stator natural frequency calculation.…”