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
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.
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