基于玻尔兹曼函数和磁畴能量最小化的电工钢片磁滞特性模拟  

Modeling of Hysteresis Characteristics of Electrical Steel Sheet Based on Boltzmann Function and Domain Energy Minimization

作　　者：李梦星 张艳丽[1] 赵加贺 姜伟[1] 谢德馨[1] LI Mengxing;ZHANG Yanli;ZHAO Jiahe;JIANG Wei;XIE Dexin(Ministry of Education Key Laboratory of Special Motors and High-voltage Electrical Apparatus(Shenyang University of Technology),Shenyang 110870,Liaoning Province,China)

机构地区：[1]教育部特种电机与高压电器重点实验室(沈阳工业大学),辽宁省沈阳市110870

出　　处：《中国电机工程学报》2023年第21期8538-8549,共12页Proceedings of the CSEE

基　　金：国家自然科学基金项目(52277015)。

摘　　要：电工钢片磁滞特性与损耗特性的精细模拟是实现变压器、电机等电工产品节能降耗绿色运行的关键。该文基于磁畴能量最小值原理,对组合磁畴结构模型(assembled domain structure model,ADSM)中磁畴能量最小化方法与磁畴分布概率求解方法进行改进。提出采用变步长梯度下降法与Boltzmann函数相结合的两步法实现磁化过程磁畴动态变化的有效模拟,简化模型的构造过程。利用变步长梯度下降法求取磁畴总能量最小值,确定磁畴的单位磁化矢量,再利用Boltzmann函数计算磁畴分布概率,实现磁滞回环的拟合。与实验测量结果对比表明:改进的ADSM模型求解方法可以在简化计算过程的同时有效地模拟磁滞回环。The precise simulation of the hysteresis characteristics and loss characteristics of electrical steel sheets is the key to realize the energy-saving and green operation of electrical products such as transformers and motors.Based on the principle of domain energy minimum,this paper improves the domain energy minimization method and domain distribution probability solution method in assembled domain structure model(ADSM).A two-step method combining the variable-step gradient descent method and the Boltzmann function is proposed to realize the effective simulation of the dynamic change of the domain during the magnetization process,which simplifies the construction of the model.The variable-step gradient descent method is used to obtain the minimum value of the total energy of the domain,and the unit magnetization vector of the domain is determined.Then the Boltzmann function is used to express the probability of the domain distribution,and finally the fitting of the hysteresis loop is realized.Compared with the experimental measurement results,it is shown that the improved ADSM model solution method can effectively model the hysteresis loop while simplifying the calculation process.

关 键 词：磁畴 电工钢片 磁滞回环 Boltzmann函数 变步长梯度下降法 

分 类 号：TM275[一般工业技术—材料科学与工程]