机械应力作用下电工钢片静态磁滞特性模拟方法研究

准确快速模拟磁性材料在不同应力下的磁滞特性对设计承受机械应力的电气设备铁心有重要意义。用BROCKHAUS-MPG200电工钢测试系统，测量了电工钢片样本在不同应力下的磁滞回线，发现其在应力作用下，磁滞回线会产生局部畸变的现象，且磁密越高，这种畸变越严重。为此，首次将2种常用的简化Preisach模型拓展至应力下的电工钢片磁滞特性模拟，发现仅有一种Priesach模型适用。根据该模型的基本特征，仅需利用具有畸变特性的实测极限磁滞回线，即可辨识不同应力值下的Everett函数。提出立方插值法提取以应力为变量的逆Everett函数，建立了应力下电工钢片的静态逆Preisach模型。实验及仿真结果表明，该模型计算精度较高，可用于实际工程中应力下磁性材料的磁滞特性模拟及磁滞损耗计算。

Modeling Methods of Static Hysteresis Characteristics of Electrical Steel Sheets under Stress

Accurate and rapid simulation of the hysteresis characteristics of magnetic materials under different stresses is of great significance to design electrical equipment cores that withstand mechanical stress. In this paper, the BROCKHAUS-MPG200 electrical steel test system was used to measure the hysteresis loops of silicon steel sheet samples under different stresses. and it is found that under the effect of stress, the hysteresis loops will produce local distortion, and the magnetic density is higher, the more serious of this distortion. Therefore, for the first time, this paper extends two commonly used simplified Preisach models to simulate the hysteresis characteristics of electrical steel sheets under stress, and finds that only one Priesach model is applicable. According to the characteristics of the model, the Everett function under different stress values can be identified only by using the measured limit hysteresis loop with distortion characteristics. this paper proposes the cubic interpolation method to extract the inverse Everett function with stress as a variable, and the static inverse Preisach model of electrical steel sheet under stress is established. Experimental and simulation results show that the model has high calculation accuracy and can be used for hysteresis characteristic simulation and hysteresis loss calculation of magnetic materials under stress in actual engineering.