地下电缆参数的有限体元与虚拟媒质耦合分析方法  

Evaluation of cable parameters in tunnels by coupling the finite volume and fictitious medium methods

作　　者：邹军[1] 袁建生[1] 马信山[1] 

机构地区：[1]清华大学电机工程与应用电子技术系,北京100084

出　　处：《清华大学学报（自然科学版）》2003年第3期329-332,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(59877009)

摘　　要：为处理二维局部非均匀大地媒质开域电磁场的求解问题,以地下隧道中电缆参数的计算为例,提出了有限体元与虚拟媒质耦合的分析方法。考虑隧道区域不导电的空气媒质对电缆参数的影响,采用虚拟媒质方法建立矢量磁位满足的积分方程,确定隧道边界节点与其内部节点的关系,从而可精确地截断开域边界。对于隧道内部的节点,采用有限体元方法,通过选择合适控制体单元,可确定隧道内部各节点之间的关系。该法基本保证了系数矩阵的稀疏性,避免了面积分多次重复计算,因此,该法的计算效率较高。数值算例表明,该法与积分方程法的计算结果的相对误差不超过3%。The finite volume method was combined with the fictitious medium method to analyze a twodimensional, open boundary electromagnetic field problem with locally nonuniform media to evaluate cable parameters in a tunnel. A magnetic vector potential integral equation was used in terms of the fictitious medium method to determine the relationship between the boundary nodes and the interior nodes, including the influence of the nonconducting air in the tunnel on the cable parameters. The integral equation gives an accurately truncated boundary condition in the tunnel. The interior nodes were analyzed using the finite volume method. The coupled method preserves the sparsity of the coefficient matrix and numerous surface integrals are avoided, so the method is more efficient. A numerical example shows that the relative error of the results is no more than 3% relative to the integral method and the coupled method.

关 键 词：有限体元法 虚拟媒质 开域问题 

分 类 号：TM153[电气工程—电工理论与新技术]