基于Preisach磁滞模型的铁磁材料损耗时域有限元计算方法  

Loss calculation of ferromagnetic material based on Preisach hysteresis model by using finite-element method in time domain

作　　者：宋金薇 李琳[1] 刘任 SONG Jin-wei;LI Lin;LIU Ren(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Electrical and Electronic Engineering, North China Electric Power University, Beijing 102206, China)

机构地区：[1]新能源电力系统国家重点实验室,华北电力大学电气与电子工程学院,北京102206

出　　处：《电工电能新技术》2020年第6期67-73,共7页Advanced Technology of Electrical Engineering and Energy

基　　金：国家重点研发计划项目(2017YFB0903902);国家自然科学基金项目(51677064)。

摘　　要：根据损耗统计理论,铁磁性材料的损耗可分解为磁滞损耗、涡流损耗和剩余损耗。本文提出一种考虑铁磁材料磁滞特性和集肤效应对其涡流损耗影响的新方法。该方法基于矢量磁位A,耦合了Preisach磁滞模型与时域有限元方程来计算铁磁材料的磁滞损耗和涡流损耗,并采用固定点技术,引入微分磁阻率,加快了有限元方程解的收敛速度。同时,为了解决剩余损耗统计参数提取困难的问题,本文提出用有理函数来拟合剩余损耗统计参数以计算铁磁材料的剩余损耗。最后,对比了仿真结果与实验测量数据,结果显示该算法计算铁磁材料损耗的最大误差小于10%。Based on the loss separation theory,the loss of ferromagnetic materials can be decomposed into hysteresis loss,eddy current loss and excess loss.To calculate the high frequency loss of the silicon steel magnetic rings,we propose a novel method to consider the influence of hysteresis characteristic and skin effect of the ferromagnetic material on its eddy current loss.The method couples the Preisach hysteresis model with finite element equations in time domain,which is based on the vector magnetic potential A,and uses the fixed-point technology which has good simplicity and robustness.The differential reluctivity is introduced to speed up the convergence of the solutions of finite element equations.At the same time,to overcome the difficulty to extract the statistical parameters of excess loss,a rational function is proposed to fit the statistical parameter extracted from the experimental measurements.Finally,the simulation results are compared with the experimental measurements,and the results show that the maximum error of the proposed algorithm is less than 10%.

关 键 词：磁滞模型 时域有限元 固定点技术 磁滞损耗 涡流损耗 剩余损耗 

分 类 号：TM271[一般工业技术—材料科学与工程]