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。分别使用单纯有限元和有限元—边界元耦合法对TEAM 7问题进行了计算,通过对比3种有限元模型的计算结果指出了截断边界和远场单元在处理开域问题上的缺陷。为了探讨有限元—边界元耦合法的建模方式,根据包裹空气层的不同建立了3种模型并进行了对比分析。通过对数值仿真结果和实测数据进行对比,证明了有限元—边界元耦合法在处理3维开域涡流场问题上的有效性。
The finite element equations of conductor region and nonconductor region and boundary element equation of free space were deduced,and the coupling condition of interface of finite element regions and boundary element regions were also presented.Solution of 3D eddy current was realized based on the finite element method（FEM） and boundary element method（BEM） coupling method（FE-BECM） in which the boundary element matrix was equivalent to finite element matrix.The FEM and FE-BECM were used to compute the model of TEAM workshop problem 7.By comparing the results of FEM models,the disadvantage of truncation boundary and far-field element in deal with three dimensional（3D） open boundary eddy current problem was pointed out.The results of FE-BECM models were compared with the results of measurement and computed by using FEM,the modeling principle and the validity of FE-BECM in calculating three dimensional open boundary eddy current problem were proved.The method mentioned in this paper has a great theoretical value in numerical calculation of 3D open boundary eddy current problem.
出处
《高电压技术》
EI
CAS
CSCD
北大核心
2010年第3期655-660,共6页
High Voltage Engineering
关键词
开域
3维涡流场
有限元法
边界元法
有限元—边界元耦合法
截断边界
远场单元
open boundary
3D eddy current field
finite element method（FEM）
boundary element method（BEM）
finite element-boundary element coupling method（FE-BECM）
truncation boundary
far-field element
