J-A磁化建模理论的质疑与修正方法研究  

Queries on the J-A Modeling Theory of the Magnetization Process in Ferromagnets and Proposed Correction Method

作　　者：李贞[1] 李庆民[1] 李长云[1] 孙秋芹[1] 娄杰[1] 

机构地区：[1]山东大学电气工程学院,山东省济南市250061

出　　处：《中国电机工程学报》2011年第3期124-131,共8页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51077088);教育部新世纪优秀人才支持计划项目(NCET-08-0335);山东省自然科学杰出青年基金项目(JQ200916)~~

摘　　要：J-A理论在磁建模领域应用广泛,但因存在多种版本,致使应用时对分析结果的正确性难以甄别。从无磁滞磁化曲线表达、采用的能量守恒方程等方面出发,对描述材料磁滞现象的原J-A理论的数学描述提出了质疑,指出了其中的不合理及错误之处。基于材料的磁化物理机制,通过分析给出了正确的能量守恒等式,并藉此推导出J-A理论的修正表征形式。由非线性寻优算法求得模型参数后,针对不同材料样本开展了仿真研究,并与测量数据进行比较,结果表明:相比于原J-A模型,本文提出的修正模型的仿真结果与材料的实测磁特性数据吻合较好,可更准确地模拟磁材料的磁化物理过程。The prevailing J-A theory is extensively used in the arena of magnetic modeling,however,the coexistence of multiple versions with different mathematical expressions often creates difficulty in discriminating the accuracy and effectiveness of the analyzed results by J-A theory.In terms of the fitting formula of the anhysteretic magnetization curve and the energy conservation equation to be adopted,several queries were raised to the original J-A theory for describing the hysteresis phenomenon,and the irrationality and inaccuracy were thereby elucidated.Based on the magnetization mechanism of ferromagnets,a correct energy conservation equation was given through physical analysis,and modified mathematical expressions were further deducted to correct the original J-A theory.On acquisition of the model parameters through nonlinear optimization algorithm,simulation studies were carried out regarding various material specimens,and the results of which were compared with the measured ones.The research indicates that,the results given by the proposed modified J-A model coincide with the measured data much better than that by the original J-A model,which therefore presents a more accurate simulation of the ferromagnets＇ magnetization process.

关 键 词：J-A理论 铁磁体 磁滞 建模 修正方法 

分 类 号：TM452[电气工程—电器]