考虑磁畴偏转的无取向硅钢应力各向异性磁致伸缩特性模拟

doi:10.19595/j.cnki.1000-6753.tces.222169

Abstract
Figure/Table
References
Related Citation (9)

Download: PDF (4428 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Vibration and noise become important factors that restrict the development of motors to large capacity. The most effective method is to fix the cores with clamps and shells. However, the stress from clamps and shells will deflect the magnetic domain of the core silicon steel material, resulting in stress anisotropy, which affects the degree of magnetization and magnetostriction of the material. Thus, considering the deflection of magnetic domains, a stress-induced anisotropic magnetostrictive model is proposed to simulate the mag- netostrictive properties of non-oriented silicon steel with different stress and magnetization directions.Comparing the simulation results with the experimental results shows that the proposed model is effective.
Firstly, the free energy model of silicon steel is established to obtain the magnetic domain deflection path under different applied stress and magnetic fields. The free energy model is simplified by coordinate transformation, and the distribution of energy extremum is calculated. The magnetic domain magnetization energy consumption diagram and magnetic domain deflection path of non-oriented silicon steel under the external magnetic field and stress are also simulated. The influence of free energy model parameters (M_s, K₁, K₂, λ₁₀₀, λ₁₁₁) on the model and the magnetic domain deflection is analyzed. Then, the hysteretic magnetization is expressed by the sum of the magnetic crystal anisotropy energy, stress-inducedanisotropic energy, and magnetic field energy contribution. Combined the free energy model with the magnetostriction model considering hysteresis, the stress-induced anisotropic magnetostriction model of non-oriented silicon steel is established by improving the hysteretic magnetization. The model parameters are obtained through the hysteresis and magnetostrictive propertytest of non-oriented silicon steel, and the parameter dependence analysis is carried out. Finally, the hysteresis and magnetostrictive properties of non-oriented silicon steel with different magnetization directions under the external stress and magnetic field are simulated, and the proposed model is verified by simulation and experimental results. Besides, the magnetostrictive strain of different magnetization directions varies greatly, and the anisotropy of non-oriented silicon steel is obvious. Under the same stress, the magnetostrictive strain increases with the increase of the magnetization directions. Moreover, in the same magnetization direction, the magnetostrictive strain decreases with the increase of stress.
The following conclusions can be drawn from the simulation and experiment analysis: (1) Considering magnetic domain deflection, the proposed stress-induced anisotropy model of non-oriented silicon steel canaccurately simulatethehysteresis and magnetostrictive properties under different magnetic fields and stress. (2) The magnetostriction of non-oriented silicon steel has obvious anisotropy, which decreases with the increase of stress and increases with the increase of magnetization angle. (3) Through the simulation of the magnetic domain deflection path, the volume fraction of the 90° magnetic domain in the silicon steel will increase due to stress, resulting in the reduced permeability of the material. Moreover, the stress anisotropy will hinder the deflection and transition of the magnetic domain, making the magnetization of non-oriented silicon steel more difficult.

Key words： Stress-induced anisotropy magnetic domain deflection free energy model magnetostrictive simulation

Received: 16 November 2022

PACS:

TM275

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Ben Tong
	Kong Yuqi
	Chen Long
	Fang Min
	Zhang Xian

Cite this article:

Ben Tong,Kong Yuqi,Chen Long等. Simulation of Stress-Induced Anisotropic Magnetostrictive Properties of Non-Oriented Silicon Steel Considering Magnetic Domain Deflection[J]. Transactions of China Electrotechnical Society, 2024, 39(4): 935-946.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.222169 OR https://dgjsxb.ces-transaction.com/EN/Y2024/V39/I4/935

[1] 祝丽花, 李晶晶, 朱建国. 服役条件下取向硅钢磁致伸缩模型的研究[J]. 电工技术学报, 2020, 35(19): 4131-4138.
Zhu Lihua, Li Jingjing, Zhu Jianguo.Research on magnetostrictive model for oriented silicon steel under service conditions[J]. Transactions of China Electrotechnical Society, 2020, 35(19): 4131-4138.
[2] Belahcen A.Vibrations of rotating electrical machines due to magnetomechanical coupling and magnetostriction[J]. IEEE Transactions on Magnetics, 2006, 42(4): 971-974.
[3] 陈龙, 易琼洋, 贲彤, 等. 全局优化算法在Preisach磁滞模型参数辨识问题中的应用与性能对比[J]. 电工技术学报, 2021, 36(12): 2585-2593, 2606.
Chen Long, Yi Qiongyang, Ben Tong, et al.Appli- cation and performance comparison of global optimization algorithms in the parameter identi- fication problems of the Preisach hysteresis model[J]. Transactions of China Electrotechnical Society, 2021, 36(12): 2585-2593, 2606.
[4] Gao Yanhui, Fujiki T, Dozono H, et al.Modeling of magnetic characteristics of soft magnetic composite using magnetic field analysis[J]. IEEE Transactions on Magnetics, 2018, 54(3): 1-4.
[5] 贲彤, 陈龙, 闫荣格, 等. 考虑磁化及磁致伸缩特性各向异性的感应电机铁心电磁应力分析[J]. 电工技术学报, 2019, 34(1): 66-74.
Ben Tong, Chen Long, Yan Rongge, et al.Stress analysis of induction motor core considering aniso- tropic magnetic and magnetostrictive properties[J]. Transactions of China Electrotechnical Society, 2019, 34(1): 66-74.
[6] 刘任, 李琳, 王亚琦, 等. 基于随机性与确定性混合优化算法的Jiles-Atherton磁滞模型参数提取[J]. 电工技术学报, 2019, 34(11): 2260-2268.
Liu Ren, Li Lin, Wang Yaqi, et al.Parameter extraction for Jiles-Atherton hysteresis model based on the hybrid technique of stochastic and deter- ministic optimization algorithm[J]. Transactions of China Electrotechnical Society, 2019, 34(11): 2260-2268.
[7] 王洋, 刘志珍. 基于蛙跳模糊算法的Jiles Atherton铁心磁滞模型参数确定[J]. 电工技术学报, 2017, 32(4): 154-161.
Wang Yang, Liu Zhizhen.Determination of Jiles Atherton core hysteresis model parameters based on fuzzy-shuffled frog leaping algorithm[J]. Transa- ctions of China Electrotechnical Society, 2017, 32(4): 154-161.
[8] 李岱岩, 张艳丽, 荆盈, 等. 基于J-A模型的电工钢片磁致伸缩特性模拟与实验[J]. 电工技术学报, 2022, 37(20): 5081-5091.
Li Daiyan, Zhang Yanli, Jing Ying, et al.Modeling of magnetostrictive characteristics in an electrical steel sheet based on the J-A model and its experimental verification[J]. Transactions of China Electrotech- nical Society, 2022, 37(20): 5081-5091.
[9] Jin Ke, Kou Yong, Zheng Xiaojing.A nonlinear magneto-thermo-elastic coupled hysteretic consti- tutive model for magnetostrictive alloys[J]. Journal of Magnetism and Magnetic Materials, 2012, 324(12): 1954-1961.
[10] Jiles D C, Thoelke J B.Theoretical modelling of the effects of anisotropy and stress on the magnetization and magnetostriction of Tb_0.3Dy_0.7Fe₂[J]. Journal of Magnetism and Magnetic Materials, 1994, 134(1): 143-160.
[11] 李梦星, 张艳丽, 姜伟, 等. 机械应力下电工钢片磁滞与磁致伸缩回环滞后特性模拟[J]. 电工技术学报, 2022, 37(11): 2698-2706.
Li Mengxing, Zhang Yanli, Jiang Wei, et al.Simu- lation of hysteresis and magnetostrictive loop hysteretic characteristics of electrical steel sheets under mechanical stress[J]. Transactions of China Electrotechnical Society, 2022, 37(11): 2698-2706.
[12] 张鹏宁, 李琳, 聂京凯, 等. 考虑铁心磁致伸缩与绕组受力的高压并联电抗器振动研究[J]. 电工技术学报, 2018, 33(13): 3130-3139.
Zhang Pengning, Li Lin, Nie Jingkai, et al.Study on the vibration of high voltage shunt reactor considering of magnetostriction and winding force[J]. Transa- ctions of China Electrotechnical Society, 2018, 33(13): 3130-3139.
[13] 张黎, 王国政, 董攀婷, 等. 基于磁致伸缩本征特性的晶粒取向性变压器铁心振动模型[J]. 中国电机工程学报, 2016, 36(14): 3990-4001.
Zhang Li, Wang Guozheng, Dong Panting, et al.Study on the vibration of grain-oriented transformer core based on the magnetostrictive intrinsic charac- teristics[J]. Proceedings of the CSEE, 2016, 36(14): 3990-4001.
[14] 张艳丽, 孙小光, 谢德馨, 等. 无取向硅钢片各向异性磁致伸缩特性模拟[J]. 中国电机工程学报, 2014, 34(27): 4731-4736.
Zhang Yanli, Sun Xiaoguang, Xie Dexin, et al.Modeling of anisotropic magnetostriction property of non-oriented silicon steel sheet[J]. Proceedings of the CSEE, 2014, 34(27): 4731-4736.
[15] Wang Zhen, Zhang Yanli, Ren Ziyan, et al.Modeling of anisotropic magnetostriction under DC bias based on an optimized BP neural network[J]. IEEE Transa- ctions on Magnetics, 2020, 56(3): 1-4.
[16] Mbengue S S, Buiron N, Lanfranchi V.Macroscopic modeling of anisotropic magnetostriction and mag- netization in soft ferromagnetic materials[J]. Journal of Magnetism and Magnetic Materials, 2016, 404: 74-78.
[17] Vanoost D.Magnetic hysteresis at the domain scale of a multi-scale material model for magneto-elastic behaviour[J]. Journal of Magnetism and Magnetic Materials, 2016, 414: 168-179.
[18] 戴道生. 物质磁性基础[M]. 北京: 北京大学出版社, 2016.
[19] Moses A J, Anderson P I, Somkun S.Modeling 2-D magnetostriction in nonoriented electrical steels using a simple magnetic domain model[J]. IEEE Transa- ctions on Magnetics, 2015, 51(5): 1-7.
[20] 贲彤, 陈芳媛, 陈龙, 等. 考虑力-磁耦合效应的无取向电工钢片磁致伸缩模型的改进[J]. 中国电机工程学报, 2021, 41(15): 5361-5371.
Ben Tong, Chen Fangyuan, Chen Long, et al.An improved magnetostrictive model of non-oriented electrical steel sheet considering force-magnetic coupling effect[J]. Proceedings of the CSEE, 2021, 41(15): 5361-5371.