Vibration Enhancement or Weakening Effect Caused by Permanent Magnet Synchronous Motor Radial and Tangential Force Formed by Tooth Harmonics

Mingchuan Liu,Jibin Zou,Hua Lan,Yongxiang Xu,Guodong Yu

doi:10.3390/en15030744

Mingchuan Liu, Jibin Zou + Show 3 more

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https://doi.org/10.3390/en15030744

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Abstract

This paper investigates the vibration enhancement or weakening effect caused by permanent magnet synchronous motor radial and tangential force formed by tooth harmonics. First, the analytical expressions of an air gap magnetic field are deduced based on a permanent magnet synchronous motor model. Then, the Maxwell stress tensor method is employed to calculate the radial and tangential force density produced by permanent magnet magnetomotive force harmonics and tooth harmonics. Moreover, the spatial phase difference between the minimum non-zero spatial order radial and tangential force waves under loading operation are also obtained. It is followed by stator vibration deformation induced by radial and tangential force waves, and the vibration enhancement or weakening effect is discussed. This study shows that the tangential force wave has a significant influence on the vibration performance similar to the radial force wave. At specific frequencies, superposition of the radial and tangential force waves can intensify the vibration while weakening each other to reduce the vibration at other specific frequencies. Numerical simulation and a vibration measurement experiment of the prototype motor were carried out to confirm the proposed theory, which can guide motor designers in selecting an appropriate pole and slot combination to apply the weakening effect between radial and tangential force waves and improve PMSM vibration performance.

Highlights

With the development of electrification technology, permanent magnet synchronous motors (PMSMs) are used in servo control systems, electric vehicles, industrial automatization, etc. due to benefits, including high efficiency, energy saving, diverse control methods, etc
Into order to compare the spatial phase of the minimum non-zero spatial order radial and tangential compare the spatial phase of the minimum non-zero spatial order radial and tangential force density under loading operations, electromagnetic waswas employed, andand the the re- results force density under loading operations, electromagnetic employed, sults are shown in
The vibration enhancement or weakening effect caused by PMSM’s radial and tangential force formed by tooth harmonics was investigated, which was verified by numerical simulation and a prototype test

Summary

Introduction

With the development of electrification technology, permanent magnet synchronous motors (PMSMs) are used in servo control systems, electric vehicles, industrial automatization, etc. due to benefits, including high efficiency, energy saving, diverse control methods, etc. The vibration characteristics caused by the radial electromagnetic force wave have been studied extensively [4,5,6]. In order to fulfil the objectives of low vibration and noise, decreasing the radial electromagnetic force is a common approach [7]. Using an innovative method of controlling the radial force, multiple sector permanent magnet machine vibration is suppressed [8]. The structural optimal design can weaken the radial force wave [9]. Optimizing the topology by employing electromagnetic structural coupled analysis was carried out to suppress vibration at a specific frequency [10]. An unconventional stator tip arc shape was proposed to weaken the radial electromagnetic force density distribution and vibration displacement [11]. To reduce the stator vibration amplitude under a specified load for dual-redundancy PMSM, the minimum width of the small teeth is adopted to achieve the lowest vibration velocity under a specified load [12]

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