电工技术学报2025，Vol.40Issue(9)：2840-2851,12.DOI:10.19595/j.cnki.1000-6753.tces.240680
计及偏置磁场变化的磁致伸缩逆效应能量平均磁滞模型
Magnetostrictive Inverse Effect Energy-Averaged Hysteresis Model Accounting for Bias Field Variations
摘要
Abstract
The output characteristics of magnetostrictive devices usually show a strong bias condition dependence.The bias magnetic field provided by constant current will change nonlinearly with the change of the material permeability under stress excitation(manifested as non-constant bias magnetic field).This change affects the accurate characterization of material magnetization process and the rational design of bias points.At present,the inverse effect models of magnetostriction mainly focus on material characterization under constant bias magnetic field.Models that solely consider a constant magnetic field fail to accurately reflect the output characteristics of devices in their actual operating environments.Establishing a hysteresis model that accounts for the inverse magnetostrictive effect with dynamic variations in the bias magnetic field holds significant research importance. The models established in this paper include the average model of non-hysteresis energy,the hysteresis constitutive model and the equivalent magnetic circuit model taking into account the variation of the bias magnetic field.Firstly,based on the free energy theory,the expression of the non-hysteretic magnetization is derived,and the average model of the non-hysteretic energy is established.Secondly,using the modeling idea of J-A model for positive hysteresis phenomenon,the first order differential equations of irreversible component Mirr,λirr and stress are introduced.The hysteresis constitutive model which can characterize the inverse effect of magnetostrictive materials is obtained.Based on the equivalent theory of magnetic circuit,the influence of stress on magnetic field strength is reflected by the change of magnetoresistance.Finally,an energy average hysteresis model is established which can account for the change of bias magnetic field.Hysteresis models often have difficulty in parameter identification.An improved cuckoo search-grey wolf optimizer(CS-GWO)hybrid algorithm is proposed by introducing nonlinear adaptive step factor α(t).Comparing the optimization results of the traditional optimization algorithms of CS,GWO,and PSO,the CS-GWO algorithm has the highest accuracy and the fastest convergence speed,and can accurately and efficiently identify the globally optimal parameters of the energy-averaged hysteresis model.Model validation is performed in two steps.First,the basic parameters of the model were extracted based on the experiments of Fe81Ga19 alloy bar under-115～0 MPa compressive stress and 22.3～446 Oe constant bias magnetic field.The error between the B-σ curve simulated by the model and the existing experimental data is only 3.85%,which is better than the error calculated by the traditional model of 6.79%.The error of ε-σ curve simulated by the model is 2.93%.Then,based on the experimental data of Fe81Ga19 alloy bar under constant current bias,the parameter Hs is further extracted.The errors of the simulated H-σ curve,B-σ curve and ε-σ curve with experimental data are 4.74%,4.31%and 3.97%,respectively.The simulation results can accurately describe the tendency of the bias field to increase nonlinearly with the increase of stress,which also leads to a shallower sensing response under constant current bias than under constant field bias. The proposed model,in addition to predicting the sensing response of the device,can also be used to track the optimal bias conditions of the material as well as to predict the trend of the ΔE effect of the material.The model can provide theoretical guidance for the performance tuning and variable stiffness design of devices such as sensors and energy harvesters based on the inverse effect of magnetostrictive materials.关键词
磁致伸缩逆效应/偏置磁场/能量平均磁滞模型/磁路模型/参数辨识Key words
Magnetostritive inverse effect/bias magnetic field/energy-averaged hysteresis model/magnetic circuit model/parameters identification分类
信息技术与安全科学引用本文复制引用
黄文美,房昱同,刘雨欣,郭萍萍,冯晓博..计及偏置磁场变化的磁致伸缩逆效应能量平均磁滞模型[J].电工技术学报,2025,40(9):2840-2851,12.基金项目
国家自然科学基金资助项目(51777053,52077052). （51777053,52077052）
