基于L-稳定单步多级块方法的多导体传输线时域响应分析  

Time Domain Response Analyses of Multiconductor Transmission Lines Using L-Stable Single Step Multistage Block Method

作　　者：叶婧[1] 徐鸣 王永 李博文 张磊[1] 奕仲飞 YE Jing;XU Ming;WANG Yong;LI Bowen;ZHANG Lei;YI Zhongfei(College of Electrical Engineering and New Energy,China Three Gorges University,Yichang 443002,China;UHV Converter Station Branch of State Grid Shanghai Municipal Electric Power Company,Shanghai 201413,China;Neijiang Power Supply Company of State Grid Sichuan Electric Power Company,Neijiang 641000,China)

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002 [2]国网上海市电力公司特高压换流站分公司,上海201413 [3]国网四川省电力公司内江供电公司,四川内江641000

出　　处：《信阳师范学院学报（自然科学版）》2021年第4期639-644,697,共7页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(52007103)。

摘　　要：针对传统时域有限差分(FDTD)格式在间断解处的非物理振荡问题,将L-稳定单步多级块方法应用于多导体传输线的时域瞬态响应分析中.施加边界条件时,为避免对系统状态方程的系数矩阵反复求逆,采用更为一般的Sherman-Morrison公式,求解施加边界条件后的系数矩阵逆矩阵.分别对均匀无损多导体传输线和非均匀有损多导体传输线进行数值仿真,并与FDTD算法进行对比.结果表明,单步多级块方法可以有效地抑制数值振荡,且不受时域仿真步长的限制.In order to solve the non-physical oscillation problem of the traditional finite difference time domain(FDTD)scheme at the discontinuous solution,the L-stable single step multistage block method is proposed to analyze the time domain transient response of multiconductor transmission lines.In order to avoid the repeated inversion of the coefficient matrix of the system state equation when the boundary conditions are imposed,the more general Sherman-Morrison formula is used to solve the inverse matrix of the coefficient matrix after the boundary conditions are applied.This method is used to simulate uniform lossless multiconductor transmission lines(MTLs)and non-uniform lossy MTLs,and its simulation result is compared with the results given by FDTD algorithm.The results showed that the single step multistage block method can effectively suppress the numerical oscillation and is not limited by step size of simulation in time domain.

关 键 词：多导体传输线 单步多级块方法 二次电缆 电磁干扰 

分 类 号：TM63[电气工程—电力系统及自动化] TN702[电子电信—电路与系统]