Analysis and Modeling of High Frequency Magnetic Properties of Rod Gallium Iron Alloy under Variable Compressive Stress
Huang Wenmei1,2, Tao Zheng1,2, Guo Pingping1,2, Zhang Weishuai1,2, Weng Ling1,2
1. State Key Laboratory of Reliability and Interlligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China;
2. Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology Tianjin 300130 China
The output characteristics of high-frequency and high-power magnetostrictive transducer devices are closely related to the compressive stress. Applying a certain compressive stress can increase the magnetostrictive coefficient of the core component magnetostrictive rod and increase the output power of the device. But an inappropriate compressive stress can deteriorate the performance of the device. To investigate the stress sensitivity of magnetostrictive rods under high frequency excitation conditions In this paper, we built a high-frequency magnetic property test system for magnetostrictive materials, and measured the dynamic magnetic property curves of iron gallium alloy rod under different excitation conditions (variable compressive stress, variable excitation frequency and magnetic field strength ). Based on the measured hysteresis lines, it shows that when the frequency and applied magnetic field strength are certain, with the increase of compressive stress, the magnetic permeability of iron gallium alloy rod decreases and the magnetization process of the material becomes more and more difficult. However, the applied larger compressive stress can reduce the magnetic loss of iron gallium alloy rod with a certain magnetic field strength, while the remanent magnetization decreases and the hysteresis effect is weakened, which improves the real-time of the rod.
To address the problem that conventional hysteresis models cannot account for the effects of compressive stress. Based on the existing static J-A hysteresis model, a high-frequency dynamic hysteresis model is established by taking into account the eddy current loss and residual loss and using fractional order derivatives to modify the high-frequency eddy current field expressions. Then improved high-frequency dynamic hysteresis model related to external applied compressive stress by introducing compressive stress-related terms to modify model parameters.
Analysis of the experimental data and the model calculation results show that the model calculation results have good frequency adaptation at high frequencies due to the consideration of the dynamic loss field and the introduction of fractional order derivatives. Comparing the model calculation results with the measured hysteresis loop area at high frequency excitation of f = 1~9 kHz, the maximum error amount is 6.88% and the average error amount is 4.71%. The model also reflects more accurately the change in the amount of loss when the magnitude of magnetic field strength is changed, with a maximum error of 6.99% and an average error of 4.28% under different magnetic field strengths (H=1 000~6 000 A/m). Due to the use of J-A model parameters with compressive stress correlation term, the model can effectively take into account the influence of compressive stress on the calculation results, and the calculation results have high accuracy under the conditions of variable external applied compressive stress (σ =0~60 MPa). The maximum error of hysteresis loop area is 5.86% and the average error is 3.29%. The model can use limited experimental data to effectively predict the variation of the high frequency magnetic properties of iron gallium alloy rod under variable compressive stress conditions. It provides theoretical and data support for the optimal design and performance regulation in the engineering of high-frequency high-power magnetostrictive transducer devices.
黄文美, 陶铮, 郭萍萍, 张伟帅, 翁玲. 变压应力条件下铁镓合金棒材高频磁特性测试与模型构建[J]. 电工技术学报, 2023, 38(14): 3769-3778.
Huang Wenmei, Tao Zheng, Guo Pingping, Zhang Weishuai, Weng Ling. Analysis and Modeling of High Frequency Magnetic Properties of Rod Gallium Iron Alloy under Variable Compressive Stress. Transactions of China Electrotechnical Society, 2023, 38(14): 3769-3778.
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2023, Vol. 38 
