Abstract
This paper provides a comprehensive investigation into the electromagnetic vibration associated with the sideband harmonic components introduced by a space vector pulse width modulation applied in integral-slot permanent magnet synchronous machine (PMSM) drives. The critical permanent magnet, armature reaction, and sideband magnetic field components, which are the primary causes for a sideband electromagnetic vibration in integral-slot PMSMs, 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 PMSM 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 PMSM drives.
Highlights
E VER-INCREASING demands on electric machine drives with high performance and easy fabrication in various existing and emerging applications are reviving the research interests in permanent magnet synchronous machines (PMSMs) [1], which possess various distinctive advantages such as high torque density, great efficiency, compact structure, and fast dynamic response [2]
This paper extends from the analytical sideband current harmonic model [26] to the corresponding radial electromagnetic force density and vibration derivations in integral-slot PMSM drives
The critical permanent magnet, armature reaction, and sideband magnetic field components, which are primarily responsible for the sideband electromagnetic vibration in integral-slot PMSM drive, are identified and analytically obtained, and followed by the analytical derivations of the amplitudes and frequencies of the resultant critical sideband radial electromagnetic force components
Summary
E VER-INCREASING demands on electric machine drives with high performance and easy fabrication in various existing and emerging applications are reviving the research interests in permanent magnet synchronous machines (PMSMs) [1], which possess various distinctive advantages such as high torque density, great efficiency, compact structure, and fast dynamic response [2]. The sideband harmonic magnetic fields and the associated high frequency radial electromagnetic forces are of particular importance for electromagnetic vibration analysis in PMSM drives. As SVPWM carrier frequency is normally two orders of magnitude higher than the electrical frequency of the machine, excessively small time steps are essential for numerical simulation to accurately predict the sideband harmonic components This makes the finite element analysis (FEA) approach computationally extremely demanding and no longer practical for the sideband electromagnetic vibration evaluation. The critical permanent magnet, armature reaction, and sideband magnetic field components, which are primarily responsible for the sideband electromagnetic vibration in integral-slot PMSM drive, are identified and analytically obtained, and followed by the analytical derivations of the amplitudes and frequencies of the resultant critical sideband radial electromagnetic force components. Can the proposed analytical approach promptly assess the sideband electromagnetic vibration during the design stage of integral-slot PMSM drive with SVPWM technique, and serve as an effective tool for minimization during optimization stage
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