A Method for the Calculation of Frequency-Dependent Transmission Line Transformation Matrices

被引:7
作者
Fan, Shengtao [1 ]
Li, Yunhua [1 ]
Li, Xiaqing [2 ]
Bi, Luyan [1 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat & Elect Engn, Beijing 100191, Peoples R China
[2] Beijing Inst Petrochem Technol, Dept Elect Engn, Beijing 102617, Peoples R China
基金
北京市自然科学基金;
关键词
Matrix perturbation theory; modal domain; Newton-Raphson method; phase domain; transformation matrix; transmission line theory; UNDERGROUND CABLES; TRANSIENTS; SIMULATION;
D O I
10.1109/TPWRS.2009.2016381
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A stable and efficient method for evaluating the transformation matrices of both overhead transmission lines and underground cables as smooth functions of frequency is presented. The proposed method is based on the postprocessing of the eigenvectors obtained by the conventional methods where optimization is employed to maximize the smoothness of the transformation matrices. Even in the case of the underground cable systems composed of several identical single core coaxial cables, where some of the eigenvalues; become arbitrarily close at high frequencies, it is capable of producing smooth transformation matrices that can be accurately fitted with rational functions.
引用
收藏
页码:552 / 560
页数:9
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