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

doi:10.19595/j.cnki.1000-6753.tces.220819

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摘要

高频大功率磁致伸缩换能器件的输出特性与其所受的压应力密切相关,施加一定的压应力可以提高其核心元件磁致伸缩棒材的磁致伸缩系数,增大器件输出功率,而不合适的压应力会使得器件性能恶化。该文搭建了磁致伸缩材料高频磁特性测试系统,测量了磁致伸缩材料铁镓合金棒材在不同激励条件下（变压应力σ、变励磁频率f和不同磁场强度H）的动态磁特性曲线。结果表明,当频率与磁场强度一定时,随着压应力的增加,高频磁特性中振幅磁导率减小、动态磁滞回线纵向变扁、磁能损耗减少。针对传统磁滞模型无法计及压应力影响的问题,在现有静态J-A磁滞模型的基础上,计及涡流损耗和剩余损耗,并采用分数阶导数修正高频涡流场表达式,建立了高频动态磁滞模型,再引入压应力相关项修正模型参数,得到与外施压应力相关的改进高频动态磁滞模型。将实验数据与模型计算结果进行对比分析,结果表明,在变压应力和高频激励条件下,模型计算结果与实测值吻合较好,最大误差为5.86%,平均误差为3.29%,验证了模型的准确性与可行性。

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关键词 ：铁镓合金棒材, 压应力, 高频磁特性, 改进的磁滞模型

Abstract：

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.

Key words： Rod gallium iron alloy compressive stress high frequency magnetic properties improved hysteresis model

收稿日期: 2022-05-13

PACS:

TM274

基金资助:

国家自然科学基金资助项目（51777053, 52077052, 52130710）

通讯作者: 黄文美女,1969年生,博士,教授,研究方向为磁性材料与器件、电机电器及其控制。E-mail：huzwm@hebut.edu.cn

作者简介: 陶铮男,1996年生,硕士研究生,研究方向为磁性材料与器件、电机电器及其控制。E-mail：961851321@qq.com

引用本文:

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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