摘要
多导体的分布电容参数是电磁暂态问题分析的基础,为了能够准确高效地得到复杂结构多导体间的分布电容,首先基于电磁场理论推导了以感应系数为待求量的方程组,其次给出了方程组系数矩阵中各非零元素的计算方法,然后基于有限元法计算空间电场能量作为方程组的右端项元素,再通过求解方程组得到感应系数矩阵,最后由感应系数矩阵得到分布电容。将该方法应用于具有解析解的双导体传输线模型的分布电容参数计算问题,对比分析了不同截断边界条件和剖分网格下的计算结果,计算结果表明该方法在适当的截断边界条件和剖分尺寸下,电容计算结果最大相对误差<1%,从而验证了所提方法的有效性。将该方法应用于典型架空线路和绕组匝间的分布电容参数计算,所提出的基于有限元方法计算多导体间分布电容的自动求解方法只需在建模时对多各个导体施加一次边界条件,然后利用所提方法实现方程组的构造、求解和分布电容参数提取,从而大大提高了效率。
Distributed capacitance parameters of multi-conductors are the basis of electromagnetic transient analysis. In order to accurately and efficiently obtain the distributed capacitance between multi-conductors of complex structures, the equations with induction coefficient as an unknown quantity are derived based on the electromagnetic field theory firstly. Secondly, the calculation methods of non-zero elements in the coefficient matrix of the derived equations are given. Then, based on the finite element method, the electric field energy is calculated as the right-end element of the equation system, and the induction coefficient matrix is obtained by solving the equation system. Finally, the distributed capacitance is obtained by the induction coefficient. The method is applied to the calculation of distributed capacitance parameters of a two-conductor transmission line model with analytic solutions. The results under different truncated boundary conditions and meshes are compared and analyzed. The results show that the maximum relative error of capacitance calculation is small under the appropriate truncated boundary conditions and mesh size. The proposed method is applied to the calculation of distributed capacitance parameters of typical overhead lines and winding turns. The proposed calculation method, in which only the boundary conditions need to be applied to the multi-conductors during the modeling, constructs and solves the equations, and extracts the distributed capacitance parameters automatically, which greatly improves the efficiency.
作者
刘刚
侯林玉
纪锋
高路
林畅
LIU Gang;HOU Linyu;JI Feng;GAO Lu;LIN Chang(Hebei Provincial Key Laboratory of Power Transmission Equipment Security Defense,North China Electric Power University,Baoding 071003,China;State Key Laboratory of Advanced Power Transmission Technology(Global Energy Interconnection Research Institute Co.,Ltd.),Beijing 102209,China)
出处
《高电压技术》
EI
CAS
CSCD
北大核心
2020年第4期1226-1233,共8页
High Voltage Engineering
基金
先进输电技术国家重点实验室开放基金(GEIRI-SKL-2018-001)
关键词
多导体
有限元
分布电容
感应系数
自动计算
muti-conductor
finite element method
distributed capacitance
induction coefficient
automatic calculation
作者简介
通信作者:刘刚(1985-),男,博士,副教授,硕导主要从事电磁场理论及其应用、电气设备多物理场仿真和电力系统时域仿真技术的研究工作,E-mail:liugang_em@163.com。
