Abstract The magnetostriction effect of magnetic material is one of the main causes of the motor vibration and noise. In order to calculate stator core vibration caused by magnetostriction for radial flux (RF) motors, a precise analytical model of such stator core vibration is set up based on piezomagnetic equations and Newton's second law. The relationship among physical quantities is illustrated by the analytical model. Stator core vibration due to magnetostriction is proportional to the magnetostriction coefficient. The vibration displacements of stator yoke and teeth are approximatively linear with the yoke radius and tooth height respectively. The influence of elasticity modulus on vibration caused by magnetostriction is very small. At last, by comparing the results of the analytical model, the finite element method and the experiments, the accuracy of the proposed analytical model is verified. Keywords: Magnetostriction, radial flux (RF), motor, vibration, analytical model
Wu Shengnan,Yu Shenbo,Tong Wenming等. A Precise Analytical Model of Stator Core Vibration Due to Magnetostriction for Radial Flux Motors[J]. Transactions of China Electrotechnical Society, 2019, 34(2): 226-235.
[1] Zhu Z Q, Xia Z P, Wu L J, et al.Analytical modeling and finite element computation of radial vibration force in fractional-slot permanent magnet brushless machines[C]//IEEE International Electric Machines and Drives Conference (IEMDC), Miami USA, 2009: 157-164. [2] Verez G, Barakat G, Amara Y.Impact of pole and slot combination on vibrations and noise of electro- magnetic origins in permanent magnet synchronous motors[J]. IEEE Transactions on Magnetics, 2015, 51(3): 8101104. [3] 陈益广, 韩柏然, 沈勇环, 等. 永磁同步推动电机电磁振动分析[J]. 电工技术学报, 2017, 32(23): 16-22. Chen Yiguang, Han Boran, Shen Yonghuan, et al.Electromagnetic vibration analysis of permanent magnet synchronous propulsion motor[J]. Transa- ctions of China Electrotechnical Society, 2017, 32(23): 16-22. [4] 于雅莉, 张国胜, 吴迪. 低噪声屏蔽电机定子屏蔽套激振力和受迫振动分析[J]. 电工技术学报, 2017, 32(23): 16-22. Yu Yali, Zhang Guosheng, Wu Di.The exciting force and forced vibration analysis of the stator can for low noise canned motor[J]. Transactions of China Electro- technical Society, 2017, 32(23): 16-22. [5] 林福, 左曙光, 毛钰, 等. 考虑电流谐波的永磁同步电机电磁振动和噪声半解析模型[J]. 电工技术学报, 2017, 32(9): 24-31. Lin Fu, Zuo Shuguang, Mao Yu, et al.Semi- analytical model of vibration and noise for permanent magnet synchronous motor considering current harmonics[J]. Transactions of China Electrotechnical Society, 2017, 32(9): 24-31. [6] 左曙光, 刘晓璇, 于明湖, 等. 永磁同步电机电磁振动数值预测与分析[J]. 电工技术学报, 2017, 32(1): 159-167. Zuo Shuguang, Liu Xiaoxuan, Yu Minghu, et al.Numerical prediction and analysis of electromagnetic vibration in permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2017, 32(1): 159-167. [7] 李岩, 李双鹏, 周吉威, 等. 基于定子齿削角的近极槽永磁同步电机振动噪声削弱方法[J]. 电工技术学报, 2015, 30(6): 45-52. Li Yan, Li Shuangpeng, Zhou Jiwei, et al.Weakening approach of the vibration and noise based on the stator tooth chamfering in PMSM with similar number of poles and slots[J]. Transactions of China Electrotechnical Society, 2015, 30(6): 45-52. [8] Dapino M J, Smith R C, Flatau A B.Structural magnetic strain model for magnetostrictive trans- ducers[J]. IEEE Transaction on Magnetics, 2000, 36(3): 545-556. [9] Gros L, Reyne G, Body C, et al.Strong coupling magneto mechanical methods applied to model heavy magnetostrictive actuators[J]. IEEE Transaction on Magnetics, 1998, 34(5): 3150-3153. [10] Lundgren S A, Bergqvist A, Engdahl S G.A rate dependent magnetostrictive simulation method for silicon iron sheets under harmonic excitation[J]. IEEE Transaction on Magnetics, 1997, 33(2): 1674-1677. [11] Besbes M, Ren Z, Razek A.A generalized finite element model of magnetostriction phenomena[J]. IEEE Transaction on Magnetics, 2001, 37(5): 3324-3328. [12] Mohammed O A, Calvert T, McConnell R. A model for magnetostriction in coupled nonlinear finite element magneto-elastic problems in electrical machines[C]//Proceedings of the International Con- ference on Electric Machines and Drives, Seattle, 1999: 728-735. [13] Mohammed O A, Liu S, Ganu S.Implementation of coupled magnetomechanical analysis including magnetostrictive effects in electric machinery[C]// International Latin American and Caribbean Con- ference for Engineering and Technology, Miami Florida, 2004: 1-6. [14] Fonteyn K, Belahcen A, Rasilo P.Simulated results and experimental verification of a novel magneto mechanical coupled method[C]//International Conference on Electrical Machines and Systems (ICEMS), Incheon, Korea, 2010: 1743-1748. [15] Ebrahimi H, Gao Y H, Kameari A, et al.Coupled magneto-mechanical analysis considering permeabi- lity variation by stress due to both magnetostriction and electromagnetism[J]. IEEE Transactions on Magnetics, 2013, 49(5): 1621-1624. [16] 祝丽花, 杨庆新, 闫荣格, 等. 考虑磁致伸缩效应电力变压器振动噪声的研究[J]. 电工技术学报, 2013, 28(4): 1-6. Zhu Lihua, Yang Qingxin, Yan Rongge, et al.Research on vibration and noise of power transformer cores including magnetostriction effects[J]. Transa- ctions of China Electrotechnical Society, 2013, 28(4): 1-6. [17] 吴胜男, 唐任远, 韩雪岩, 等. 磁致伸缩引起的非晶合金永磁电机振动解析计算[J]. 中国电机工程学报, 2016, 36(13): 3635-3641. Wu Shengnan, Tang Renyuan, Han Xueyan, et al.Analytical calculation of vibration due to magneto- striction in permanent magnet machines with amorphous metal cores[J]. Proceedings of the CSEE, 2016, 36(13): 3635-3641. [18] Wu S N, Tang R Y, Tong W M, et al.Analytical model for predicting vibration due to magneto- striction in axial flux permanent magnet machines with amorphous metal cores[J]. IEEE Transactions on Magnetics, 2017, 53(8): 2001508. [19] Delaere K, Heylen W, Belmans R.Comparison of induction machine stator vibration spectra induced by reluctance forces and magnetostriction[J]. IEEE Transactions on Magnetics, 2002, 38(2): 969-972. [20] 黄国治, 傅丰礼. Y2系列三相异步电动机设计手册[M]. 北京: 机械工业出版社, 2004.
2019, Vol. 34 
