Simulation of Stress-Induced Anisotropic Magnetostrictive Properties of Non-Oriented Silicon Steel Considering Magnetic Domain Deflection
Ben Tong1, Kong Yuqi1, 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
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 (Ms, 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.
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.
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2024, Vol. 39 
