考虑磁阻率张量的三维磁场有限元分析  

Finite element analysis of three-dimensional magnetic field considering reluctivity tensor

作　　者：孙景峰[1] 杨庆新[1] 张闯[1] 李永建[1] 

机构地区：[1]河北工业大学电磁场与电器可靠性省部共建重点实验室,天津300130

出　　处：《电工电能新技术》2011年第3期24-27,42,共5页Advanced Technology of Electrical Engineering and Energy

基　　金：河北省自然科学基金资助项目(E2008000051)

摘　　要：在变化的磁场中,磁材料的磁阻率表现为一个三维二阶张量。在数值计算过程中通常把这个张量简化为标量或矢量,但在对计算精度要求比较高的时候,这个张量就应该被充分考虑。本文针对磁阻率张量,结合六节点三棱柱单元,推导了相应的有限元方程组。在新方程组中磁阻率张量中的非主对角线元素得以充分体现。基于这个方程编写了有限元计算程序,并利用有限元软件Femap做前处理与后处理,实现了对三维磁场的有限元分析。仿真结果表明,当磁阻率张量被设为不同形式时,磁场的分布会有一定程度的变化,且张量中各个元素所起的作用亦不相同。Under alternating or rotating magnetic excitation,a magnetic material＇s reluctivity becomes a full three-dimensional tensor.In some applications,this tensor is simplified as a scalar or a vector,and the result is accurate enough.However,the consideration of the off-diagonal terms in a reluctivity tensor is necessary when high calculation accuracy is demanded.In this paper,a finite element formulation is developed from Maxwell＇s equations and 6-node triangular prism element shape function.In the formulation the off-diagonal terms of reluctivity tensor are fully considered.Based on this formulation,a finite element analysis program is compiled,using Femap to create a model and to display the magnetic flux distribution.Several simulations of a current-carrying air-core square coil between two iron plates are performed based on different reluctivity tensor.The results are compared and it could be found that different forms of reluctivity tensor will lead to different distributions of magnetic flux and each off-diagonal term of reluctivity tensor play a unique role.

关 键 词：磁阻率张量 三维磁场 有限元分析 

分 类 号：TM153[电气工程—电工理论与新技术]