Abstract Non-oriented electrical steel is widely used in the manufacturing of motor stators. The magnetic property will be influenced by the residual stress induced from manufacturing processes. The classical Jile-Atherton hysteresis model with constant parameters is widely used to describe the magnetization characteristic of ferromagnetic materials. In the model, the parameter a represents the domain density, k is the pinning factor reflecting the strength of the pinning effect, α is the domain coupling parameter affecting the slope of the mid-segment of the hysteresis loop and C is the coefficient of reversibility. However, all the four parameters are influenced by residual stress. Furthermore, the influence of magnetic peak induction on parameters can’t be ignored according to our work. The classical Jile-Atherton hysteresis model cannot reflect the influence of residual stress and magnetic peak induction. In this paper, a modified residual stress dependent Jile-Atherton hysteresis model was proposed, whose parameters are extended to functions related to residual stress and magnetic peak induction. A novel device was designed to carry out magnetic property testing experiments under large stress. The parameters were identified by a MATLAB program and the influence of residual stress and magnetic peak induction was analyzed. The accuracy of parameters was validated by experiments, which showed that the modified model worked well in describing the magnetization characteristic under different stresses and magnetic peak inductions. This could provide some guidance for the manufacturing processes of motor stators.

中文翻译：

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一个修正的残余应力相关的 Jile-Atherton 滞后模型

摘要 无取向电工钢广泛用于电机定子的制造。磁性能会受到制造过程中产生的残余应力的影响。具有恒定参数的经典 Jile-Atherton 磁滞模型被广泛用于描述铁磁材料的磁化特性。模型中，参数a表示畴密度，k是反映钉扎效应强度的钉扎因子，α是影响磁滞回线中段斜率的畴耦合参数，C是可逆系数. 然而，所有四个参数都受残余应力的影响。此外，根据我们的工作，磁峰感应对参数的影响也不容忽视。经典的 Jile-Atherton 磁滞模型不能反映残余应力和磁峰感应的影响。在本文中，提出了一种修正的残余应力相关的 Jile-Atherton 磁滞模型，其参数扩展到与残余应力和磁峰感应相关的函数。设计了一种新型装置来进行大应力下的磁性能测试实验。通过MATLAB程序对参数进行识别，分析残余应力和磁峰感应强度的影响。实验验证了参数的准确性，表明改进模型能够很好地描述不同应力和磁峰感应下的磁化特性。这可以为电机定子的制造过程提供一些指导。