摘要
基于A,φ-A法和库伦规范,推导了导体区域和非导体区域的有限元方程及自由空间的边界元方程,通过引入交界面条件,实现了将边界元矩阵等效为有限元矩阵求解的有限元-边界元耦合法(finite element and boundary element coupling method,FE-BECM)。将FE-BECM应用于TEAM-7问题的计算,验证了该方法处理开域涡流问题的有效性。当FE-BECM应用于运动导体涡流场(moving conductor eddy current,MCEC)问题时,用有限元离散源电流区域和运动部件,用边界元离散自由空间并关联相互独立的有限元区域。该方法克服了常规有限元法使用1套网格处理运动问题所遇到的麻烦。使用有限元-边界元耦合法对单级线圈炮问题进行了计算,验证了算法处理运动导体涡流场问题的有效性。
Finite element conductor region and source governing equations of the current region were deduced based on magnetic vector potential/electric scalar potential formulations using the Coulomb gauge. Boundary element equations of free space were built on direct method. By introducing interface condition, the finite element and boundary element coupling method （FE-BECM） was realized in which boundary element matrix was equivalent to finite element matrix. In order to prove the validity of FE-BECM in eddy current problem and study modeling principle of the method, it was used to solve TEAM-7 problem. In the application of FE-BECM in moving conductor eddy current problem （MCEC）, the source regions and moving components was discretized by finite elements, boundary elements were used to discretize the free space and associate finite element regions. When the position of moving components changed, it was only need to change the coordinate of nodes in moving region and all elements＇ shape kept invariant. The trouble of remeshing in normal finite element technique based on one set of grid was overcome in FE-BECM. The dynamic characteristics of a 3D coil gun model were calculated by FE-BECM. Numerical results obtained were compared with experimental data and results of 3D composite grid method （CGM）, reasonable agreement was achieved and the efficiency of FE-BECM for such kind of problems was displayed.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第9期123-128,共6页
Proceedings of the CSEE
关键词
有限元法
边界元法
有限元-边界元耦合法
运动导体涡流场
finite element method
boundary element method
finite element and boundary element coupling method
moving conductor eddy current
