基于Armstrong能量模型的非线性动态维拉里磁滞行为建模与验证  

Modeling and Verification of Nonlinear Dynamic Villari Hysteresis Behavior Based on Armstrong Energy Model

作　　者：黄文美[1,2] 冯晓博 薛天祥 张泽远 翁玲[1,2] Huang Wenmei;Feng Xiaobo;Xue Tianxiang;Zhang Zeyuan;Weng Ling(State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology,Tianjin 300130 China;Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology,Tianjin 300130 China)

机构地区：[1]省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学),天津300130 [2]河北工业大学河北省电磁场与电器可靠性重点实验室,天津300130

出　　处：《电工技术学报》2024年第18期5565-5575,共11页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(51777053,52077052)。

摘　　要：磁致伸缩材料工作在应力激励条件下的输出特性在很大程度上取决于偏置条件(预应力、偏置磁场)和激励频率。为指导磁致伸缩材料在动态应力驱动下的应用,需要建立一个能够适应各种操作条件的动态磁滞模型。该文结合Armstrong能量模型和J-A磁滞模型,建立了磁致伸缩材料的静态维拉里磁滞模型,通过引入频率相关时间常数的一阶微分方程将静态模型拓展为考虑动态损耗的动态非线性维拉里磁滞模型。利用粒子群遗传优化算法通过三个递进步骤提取模型参数。实验数据与模型计算数据的对比结果表明,该模型不仅能够充分描述预应力和偏置磁场对准静态维拉里效应的影响,而且能够反映在不同频率动态应力下磁通密度-应力(B-σ)动态小环和主环的变化趋势,该模型可为磁致伸缩材料器件在应力条件下的应用提供理论指导。The Villari effect describes the magnetization change of magnetostrictive materials induced by mechanical loading.Magnetostrictive devices based on the Villari effect can realize electrical energyconverted from mechanical energy to harvest vibration energy in the environment.The output characteristics of magnetostrictive materials under stress excitation conditions depend on the bias conditions(prestress,bias magnetic field)and excitation frequency.Previous studies establishthe Villari effect model according to linear piezomagnetic equations,ignoring the material’s nonlinearity,hysteresis properties,and eddy current effects.This paper uses the Armstrong energy model to derive a hysteresis-free magnetization strength equation of magnetostrictive materials under stress.The hysteresis-free equation is expanded into a static hysteresis model combined with the basic ideologies of the J-A hysteresis model.Then,considering the eddy current effect inside the material under high-frequency stress,the static model is expanded into a dynamic nonlinear Villari hysteresis model by introducing a first-order differential equation with a frequency-dependent time coefficient.The particle swarm and genetic optimization algorithms extract the model parameters through 3 progressive steps.The particle swarm genetic algorithm calculates the average static model parameter values for the quasi-static B-smajor loops of the Galfenol bar with 3.88~7.17 kA/m bias magnetic fields under 31.4 MPa stress amplitude,1 Hz frequency,and-31.9 MPa prestress.The values of the quasi-static B-smajor and minor loops with bias magnetic fields of 0.73~13.76 kA/m are simulated using the average static model parameter values,which agree with experimental data.The bias conditions of the maximum piezo magnetic coefficient of the quasi-static B-smajor loop are-1.65 MPa prestress and 1.42 kA/m bias magnetic field.Based on the average static model parameter values,the dynamic parameter valuestp for the dynamic B-smajor loops are extracted with 2.46 kA/m bias mag

关 键 词：磁致伸缩材料 维拉里效应 压磁系数 Armstrong能量模型 粒子群遗传优化算法 

分 类 号：TM274[一般工业技术—材料科学与工程]