基于cosh函数的Preisach磁滞模型参数辨识与验证

除了导热、介电等物理特性之外,电工磁性材料的磁滞特性精确建模是电磁设备优化设计的共性基础问题。建立准确的磁滞数学模型,对设计电机、变压器等设备至关重要。基于Preisach模型,用cosh函数来代替Preisach分布函数,同时引入Everett函数建立解析形式的磁滞数学模型。利用BH-Loop分析仪,对电机中常用材料50WW600进行实验。应用差分进化算法,以磁滞回线计算值与实验值之间的方差为适应度函数,辨识了模型的三个参数。通过所建模型的仿真值与实测曲线的对比,验证了模型的准确性,可以有效地模拟铁磁材料的静态磁滞回线。

Parameter identification and verification of Preisach hysteresis model based on cosh function

In addition to the physical properties such as heat conduction and dielectric,accurate modeling of hysteresis characteristics of ferromagnetic materials is a common basic problem for optimal design of electromagnetic equipment.In order to better study the effect of hysteresis on motor,transformer and other equipment,it is necessary to establish an accurate mathematical model.Based on Preisach model,cosh function is used to replace Preisach distribution function,and Everett function is introduced to establish hysteresis mathematical model in analytical form.Based on BH-Loop analyzer,50WW600,a commonly used material in electric machines,was tested.Using differential evolution algorithm and taking the variance between the calculated hysteresis loop value and the experimental value as the fitness function,three parameters of the model are identified.The simulation results of the hysteresis model established in this paper are in good agreement with the measured hysteresis loop of the material,which can accurately simulate the static hysteresis loop of soft magnetic materials.