Study of Mechanical Resonance Induced by Magnetostriction in Closed Structures Based on Fe-Si
Li Jingsong1, Liang Zhenzong1, Sun Yinglun1, Li Guofeng1, Yu Keping2
1. School of Electrical Engineering Dalian University of Technology Dalian 116024 China; 2. Global Information and Telecommunication Institute Waseda University Tokyo 169-8050 Japan
Abstract:The noise produced by power transformers and electrical machines is harmful, and its reduction has always been a research hotspot. The vibration system that produces such noise is likely to be in resonance and becomes more drastic, and the resonance may be mechanical force or magnetic force. The interaction between the deformation due to magnetostriction and mechanical resonance of a structure made up of laminated steel sheets is investigated in this paper. In the study of resonance phenomena, it is usually considered that the frequency and the spatial distribution of the electromagnetic forces coincide with the natural frequency and the mode shapes of the corresponding structure. However, it is observed that the magnetostriction may induce a resonance without the aforementioned conditions. Two closed structures of frame-shaped sheet and ring-shaped sheet consisting of cold-rolled grain-oriented (GO) and non-grain oriented (NO) electrical steels are used to confirm this assumption. The finite element (FE) simulated calculations and measurements are compared for vibration displacements. The results of mechanical resonance induced by the magnetostrictive strain from ferromagnetic materials are shown, as well as the corresponding vibration spectrum.
李劲松, 梁振宗, 孙英伦, 李国锋, 余恪平. 闭合Fe-Si结构中磁致伸缩引起的机械共振研究[J]. 电工技术学报, 2022, 37(6): 1321-1328.
Li Jingsong, Liang Zhenzong, Sun Yinglun, Li Guofeng, Yu Keping. Study of Mechanical Resonance Induced by Magnetostriction in Closed Structures Based on Fe-Si. Transactions of China Electrotechnical Society, 2022, 37(6): 1321-1328.
[1] Peng Shuai, Jürgen B.Investigation of acoustic noise sources in medium frequency, medium voltage trans-formers[C]//2014 16th European Conference on Power Electronics and Applications, Lappeenranta, Finland, 2014: 1-8. [2] 陈德志, 张玉庸, 白保东, 等. 不同温度及谐波下硅钢片电磁-力特性与变频电机振动[J]. 电工技术学报, 2020, 35(22): 4647-4656. Chen Dezhi, Zhang Yuyong, Bai Baodong, et al.Electromagnetic-force and vibration of silicon steel sheet and variable frequency motor under different temperature and harmonic[J]. Transactions of China Electrotechnical Society, 2020, 35(22): 4647-4656. [3] 翁玲, 常振, 孙英, 等. 不同磁致伸缩材料的高频磁能损耗分析与实验研究[J]. 电工技术学报, 2020, 35(10): 2079-2087. Weng Ling, Chang Zhen, Sun Ying, et al.Analysis and experimental study on high frequency magneto-strictive energy loss of different magnetostrictive materials[J]. Transactions of China Electrotechnical Society, 2020, 35(10): 2079-2087. [4] Mohammed O A, Calvert T, Mcconnell R.Coupled magnetoelastic finite element formulation including anisotropic reluctivity tensor and magnetostriction effects for machinery applications[J]. IEEE Transactions on Magnetics, 2001, 37(5): 3388-3392. [5] Belahcen A.Vibrations of rotating electrical machines due to magnetomechanical coupling and magneto-striction[J]. IEEE Transactions on Magnetics, 2006, 42(4): 971-974. [6] 吴胜男, 于慎波, 佟文明, 等. 磁致伸缩引起的径向磁通电机定子铁心振动精确解析模型[J]. 电工技术学报, 2019, 34(2): 226-235. Wu Shengnan, Yu Shenbo, Tong Wenming, et al.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. [7] Moses A J, Anderson P I, Phophongviwat T, et al.Contribution of magnetostriction to transformer noise[C]//45th International Universities Power Engineering Conference (UPEC2010), Cardiff, UK, 2010: 1-5. [8] Fonteyn K, Belahcen A, Kouhia R, et al.FEM for directly coupled magneto-mechanical phenomena in electrical machines[J]. IEEE Transactions on Magnetics, 2010, 46(8): 2923-2926. [9] Aydin U, Rasilo P, Martin F, et al.Magneto-mechanical modeling of electrical steel sheets[J]. Journal of Magnetism and Magnetic Materials, 2017, 439: 82-90. [10] 潘超, 衣双园, 蔡国伟, 等. 交直流混杂模式下变压器励磁-振动特性研究[J]. 电工技术学报, 2019, 34(18): 3788-3796. Pan Chao, Yi Shuangyuan, Cai Guowei, et al.Excitation-vibration characteristics of transformer in AC-DC hybrid operation[J]. Transactions of China Electrotechnical Society, 2019, 34(18): 3788-3796. [11] Belahcen A, Singh D, Rasilo P, et al.Anisotropic and strain-dependent model of magnetostriction in electrical steel sheets[J]. IEEE Transactions on Magnetics, 2015, 51(3): 2001204. [12] Liu Mingyong, Hubert O, Mininger X, et al.Reduction of power transformer core noise generation due to magnetostriction-induced deformations using fully coupled finite element modeling optimization procedures[J]. IEEE Transactions on Magnetics, 2017, 53(8): 8400511. [13] 汪颖, 罗代军, 肖先勇, 等. 多逆变器并网下的超高次谐振特性分析[J]. 电力系统自动化, 2020, 44(1): 192-199. Wang Ying, Luo Daijun, Xiao Xianyong, et al.Analysis on supraharmonic resonance characteristics with integration of multiple inverters[J]. Automation of Electric Power Systems, 2020, 44(1): 192-199. [14] Kamimoto K, Ishibashi F, Noda S, et al.Magnetostriction and motor vibration[J]. Electrical Engineering in Japan, 2004, 148(2): 8-13. [15] Somkun S, Moses A J, Anderson P I.Mechanical resonance in nonoriented electrical steels induced by magnetostriction under PWM voltage excitation[J]. IEEE Transactions on Magnetics, 2008, 44(11): 4062-4065. [16] Weiser B, Pfützner H, Anger J.Relevance of magnetostriction and forces for the generation of audible noise of transformer cores[J]. IEEE Transactions on Magnetics, 2000, 36(5): 3759-3777. [17] 闫荣格, 赵文月, 陈俊杰, 等. 基于谐波注入的串联电抗器的减振研究[J]. 电工技术学报, 2020, 35(16): 3445-3452. Yan Rongge, Zhao Wenyue, Chen Junjie, et al.Research on vibration reduction of series reactor based on harmonic injection[J]. Transactions of China Electrotechnical Society, 2020, 35(16): 3445-3452. [18] Pellerey P, Lanfranchi V, Friedrich G.Coupled numerical simulation between electromagnetic and structural models. Influence of the supply harmonics for synchronous machine vibrations[J]. IEEE Transactions on Magnetics, 2012, 48(2): 983-986. [19] Bouayed K, Mebarek L, Lanfranchi V, et al.Noise and vibration of a power transformer under an electrical excitation[J]. Applied Acoustics, 2017, 128: 64-70. [20] Låftman L. Magnetostriction and its contribution to noise in a PWM inverter fed induction machine[J]. Journal De Physique IV, 1998, 8(PR2): Pr2-567-Pr2-570. [21] Mbengue S S, Buiron N, Lanfranchi V.An anisotropic model for magnetostriction and magnetization computing for noise generation in electric devices[J]. Sensors, 2016, 16(4): 553-563.