利用三维有限元法计算复杂结构线圈电感  

Research on the Inductance Computing of Complicated Coil by 3D FEM

作　　者：邓雷[1] 吴细秀[1] 汪本进[2] 吴士普[2] 

机构地区：[1]武汉理工大学自动化学院,湖北武汉430070 [2]中国电力科学研究院,湖北武汉430074

出　　处：《控制工程期刊（中英文版）》2013年第3期162-170,共9页Scientific Journal of Control Engineering

基　　金：国家自然科学基金项目资助（51107093）;高校基本科研业务费专项资金资助（2011-IV-066,113211001）

摘　　要：采用三维矢量磁位有限元方法在COMSOLMultiphysics软件中完成了复杂结构线圈电感的计算。首先，论文阐述了电感计算方法，分析了采用三维矢量磁位有限元分析方法计算电感的原理，得到三维坐标下以矢量磁位描述磁场能量的表达式。针对该表达式，讨论了电感计算的电磁场控制方程和边界条件并对相应表达式进行离散化，得到了矢量磁位的三维有限元离散方程。在此基础上，论文以某一结构复杂、本身尺寸差异大的线圈为例，具体介绍了在COMSOLMultiphysics软件中采用三维有限元法计算电感的步骤。计算过程中，采用较细化和较粗化的网格划分方法解决线圈尺寸差异造成的网格划分精度不高的问题，并利用无限单元区域模拟电磁场计算的自由空间，从而提高了电磁场计算开域问题的精度。最后论文将COMSOLMultiphysics计算的电感值与实测值进行比较，结果表明计算值与实测值十分接近，证明了采用三维有限元方法计算电感的正确性。The calculation method of a complicated coil inductance in COMSOL Multiphysics software by 3D Magnetic vector potential Finite Element Method is proposed in this paper. Firstly, methods of inductance calculation are expounded and the principles of 3D magnetic vector potential finite element method used to calculate the inductance are analyzed as well. Basing on these, we conduct the expression of the magnetic energy represented by magnetic vector under 3D coordinate condition. Furthermore, a discussion of electromagnetic field control equations and the boundaries about utilizing energy method to calculate the inductance is presented. And the 3D FEM discrete equations of magnetic vector potential are deduced by using variation method. An inductance calculation sample for a complicated coil whose size is very large and which has large size difference between height and width is given to explain the process of setting 3D FEM electromagnetic field model in COMSOL Multiphysics. In order to solve the large size difference problem, finer and coarser mesh methods are applied to improve the grid meshing quality. In addition, the precision of electromagnetic computation is increased by using infinite element to simulate the outer boundary. In the end, an actual measurement is carried out to get the complicated coil inductance. The comparison of the simulation and the measurement shows a good agreement, which verifies that the 3D FEM inductance calculation method is correct and practical.

关 键 词：电感计算 矢量磁位 三维有限元 COMSOL MULTIPHYSICS 

分 类 号：TP312[自动化与计算机技术—计算机软件与理论]