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变电站接地网雷电电磁场的快速算法
引用本文:李琳,黄红瑕,赵志斌.变电站接地网雷电电磁场的快速算法[J].中国电机工程学报,2011,31(12).
作者姓名:李琳  黄红瑕  赵志斌
作者单位:华北电力大学电气与电子工程学院,河北省,保定市,071003
基金项目:国家自然科学基金项目(50577019); 河北省自然科学基金项目(E2006000678)~~
摘    要:提出了一种计算大型变电站接地网电磁场的快速算法.首先,该算法使用修正镜像法(modified image method,MIM)将待求模型所处的半无限有损空间化为均匀空间,从而避免了原电场积分方程中出现的索末菲积分计算.其次,借助快速多极子方法(fast multipole method,FMM)求解该电场积分方程,最后,利用共轭梯度法求解线性代数方程.在选取基函数及权函数时充分考虑了阻抗矩阵对称性和区组元素相互作用的平移不变性.与其他文献及CDEGS软件的计算对比结果,验证了该算法的正确性、适用性及有效性.

关 键 词:修正镜像法  半无限有损空间  雷电电磁场  快速多极子方法

A Fast Computer Analysis of Lightning Electromagnetic Fields of Substation Grounding Systems
LI Lin , HUANG Hongxia , ZHAO Zhibin.A Fast Computer Analysis of Lightning Electromagnetic Fields of Substation Grounding Systems[J].Proceedings of the CSEE,2011,31(12).
Authors:LI Lin  HUANG Hongxia  ZHAO Zhibin
Affiliation:LI Lin,HUANG Hongxia,ZHAO Zhibin(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,Hebei Province,China)
Abstract:A fast algorithm was presented to compute the electromagnetic fields around the substation grounding system.The modified image method was used,and the lossy half-space in which the model placed to be solved was converted to a homogeneous space.Then the Sommerfeld integrals contained in the original integral equation were avoided.The fast multipole method(FMM) was utilized to solve the governing electric field integral equation(EFIE).The conjugate gradient method was utilized to solve the linear algebraic eq...
Keywords:modified image method  lossy half-space  lightning electromagnetic field  fast multipole method(FMM)  
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