基于Levenberg-Marquardt算法的改进Preisach模型磁特性模拟与验证

Magnetic Property Simulation and Verification With Improved Preisach Hysteresis Model Based on Levenberg-marquardt Algorithm

由于磁测量数据共享机制尚未建立,磁滞建模所依赖的材料特性大数据库不够完备,因此一种抛开磁滞微观物理本质的唯象建模研究引起了关注。文中首先在Preisach模型的基础上,采用cosh分布函数,为兼顾磁滞功能和数值实现效率,引入Everett函数建立磁滞特性解析表达式。然后将磁滞模型分析结果与电机常用硅钢片50WW600材料测量值之间的均方根误差做为适应度函数,通过Levenberg-Marquardt算法辨识Preisach模型参数。最后将不同工况下磁滞回线实际测量值与磁滞模型计算结果进行对比分析,验证该文模型的准确性和有效性,为电机电器的有限元精细分析奠定了一定理论基础。

Since the full mechanism of magnetic measurement data sharing has not been established, and the big database of material properties that the Hysteresis Modeling relies on is not complete enough, a phenomenological modeling study that abandons the microscopic physical nature of hysteresis has attracted attention. In this paper, based on Preisach’s model, the cosh distribution function was adopted. In order to take into account the hysteresis function and numerical efficiency, the Everett function was introduced to establish the analytical expression of hysteresis characteristics. Then, the root mean square error between the analysis result of hysteresis model and the measurement value of common silicon steel 50 WW600 material was used as the fitness function, and the parameters of Preisach model were identified by Levenberg-Marquardt(L-M) algorithm. Finally, the actual measurement value of hysteresis loop under different working conditions was compared with the calculation result of hysteresis model, which verifies the accuracy and validity of the model, and lays a theoretical foundation for the fine finite element analysis of electrical machinery.