电工技术学报
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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
贲彤1, 孔玉琪1, 陈龙1,2, 方敏1, 张献3
1.三峡大学电气与新能源学院宜昌 443002;
2.湖北省微电网工程技术研究中心(三峡大学)宜昌 443002;
3.省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学)天津 300130
Simulation of Stress-Induced Anisotropic Magnetostrictive Properties of Non-oriented Silicon Steel Considering Magnetic Domain Deflection
Ben Tong1, KongYuqi1, Chen Long1,2, Fang Min1, Zhang Xian3
1. College of Electrical Engineering and New Energy China Three Gorges University Yichang 443002 China;
2. Hubei Provincial Research Center on Microgrid Engineering Technology China Three Gorges University Yichang 443002 China;
3. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China
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摘要 

无取向硅钢铁心的电磁振动是电机噪声的根本来源,采用夹件固定铁心可有效抑制其振动,但夹紧力施加不当会引起铁心振动加剧,原因为应力使无取向硅钢的磁畴取向发生偏转引起磁致伸缩形变增大,形成应力各向异性。因此,为了获得准确的应力加载方法,需建立考虑磁畴偏转的无取向硅钢应力各向异性磁致伸缩模型。首先,求解自由能模型并计算能量极值点的分布,模拟无取向硅钢在磁场和应力作用下的磁畴偏转路径;其次,用磁晶各向异性能、应力各向异性能以及磁场能贡献的总和表示无磁滞磁化强度,将自由能模型与考虑磁滞的磁致伸缩模型相结合,通过无取向硅钢磁致伸缩特性测试获取模型参数并进行参数依赖性分析;最后,模拟应力与磁场作用下不同磁化方向的无取向硅钢的磁滞特性和磁致伸缩特性,通过仿真结果与实验结果的对比验证模型的准确性,结果表明,应力的增大会使无取向硅钢磁致伸缩应变值减小,同一应力下,磁致伸缩应变的大小随磁化角度的增大而增大,本文所提出的应力各向异性磁致伸缩模型可以有效模拟此种变化规律。

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贲彤
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关键词 应力各向异性磁畴偏转自由能模型磁致伸缩模拟    
Abstract

Vibration and noise become the important factors that restrict the development of motors to large capacity. The most effective method to restrain their vibration and noise 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, which can simulate the magnetostrictive 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, to obtain the magnetic domain deflection path under different applied stress and magnetic field, the free energy model of silicon steel is established.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 by the free energy model. And the influence of free energy model parameters (Ms, K1, K2, λ100, λ111) on the model and the magnetic domain deflection is analyzed.Then, the anhysteretic magnetization is expressed by the sum of the magnetic crystal anisotropy energy, stress-inducedanisotropic energy, and magnetic field energy contribution. The stress-induced anisotropic magnetostriction model of non-oriented silicon steel considering domain deflection is established by improving the anhysteretic magnetization and combining the free energy model with the magnetostriction model considering hysteresis.The model parameters are obtained through the hysteresis and magnetostrictive properties test 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 accuracy of the proposed model is verified by comparing the simulation results with the 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. And 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)The proposed stress-induced anisotropy model of non-oriented silicon steel considering magnetic domain deflection canmore accurately 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 the effect of stress, resulting in the reduction of the permeability of the material, and the stress anisotropy will hinder the deflection and transition of the magnetic domain, which makes the magnetization of non-oriented silicon steel more difficult.

Key wordsStress-induced anisotropy    magnetic domain deflection    free energy model    magnetostrictive simulation   
    
PACS: TM275  
通讯作者: 陈龙, 男,1989年生,博士,讲师,硕士生导师,研究方向为磁性材料磁特性模拟、全局优化设计。E-mail:chenlong@ctgu.edu.cn   
作者简介: 贲彤, 女,1991年生,博士,副教授,博士生导师,研究方向为电工装备电磁振动研究。E-mail:bentong@ctgu.edu.cn
引用本文:   
贲彤, 孔玉琪, 陈龙, 方敏, 张献. 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[J]. 电工技术学报, 0, (): 8916-. Ben Tong, KongYuqi, Chen Long, Fang Min, Zhang Xian. Simulation of Stress-Induced Anisotropic Magnetostrictive Properties of Non-oriented Silicon Steel Considering Magnetic Domain Deflection. Transactions of China Electrotechnical Society, 0, (): 8916-.
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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.222169          https://dgjsxb.ces-transaction.com/CN/Y0/V/I/8916