并行求解含有电位悬浮导体的静电场数值问题

Parallel Numerical Computing of Electrostatic Field Model of Conductors With Floating Potentials

并行计算是电磁场数值模拟的主要工具,但是对于含有悬浮电位导体的静电场问题的并行模拟却很少提及。该文提供了一种针对这类问题的区域分解方法,并利用强加齐次边界条件法对有限元矩阵进行处理,进而利用并行机群系统求解含有多个电位悬浮导体的计算模型。通过对含有3个悬浮电位导体的平行板电容器模型和330 kV架空输电线路的玻璃绝缘子串场计算模型的并行模拟,验证了该方法在二维和三维静电场问题中的有效性。该文提出的方法能够很好的解决因悬浮导体存在而带来的并行处理中的模型分区困难,并且可以很好的并行求解多导体问题,对该类问题的并行计算提供了可能。

Parallel computing is more and more studied to deal with large-scale problems in computational electromagnetics.Many parallel computing example for electrostatic had been reported,but for electrostatic problems in which floating potential conductors exist,the realization of parallel is rarely reported.A way for decomposition domain of such model and virtual homogeneous boundary conditions method for finite element matrix transformation of such model containing floating conductors was proposed to solve such problem through parallel system.Through parallel computing and simulation of the parallel-plate capacitor model contained three floating conductors and the calculation model of glass insulator of 330？kV overhead transmission line,the validity of the proposed approach used in 2-D and 3-D problems is proved.In the electrostatic model that contains floating potential conductors,the proposed approach can easily deal with the partition of such model.Moreover,it is suitable for the case of many such conductors.