Time-Domain Finite-Element Method for the Transient Response of Multiconductor Transmission Lines Excited by an Electromagnetic Field

Author

Liu, Xin ; Cui, Xiang ; Qi, Lei

Author_Institution

Sch. of Electr. & Electron. Eng., North China Electr. Power Univ., Beijing, China

Volume

53

Issue

2

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

462

Lastpage

474

Abstract

The calculation of voltages induced by external electromagnetic fields on multiconductor transmission lines (MTLs) has been the subject of several studies. In this paper, discrete equations for MTLs exposed to incident fields are derived based on the time-domain finite-element method and the backward differentiation formula. Based on these equations, a value-delivery table characterizing the MTLs is presented. Combining this table with modified node analysis formulation, it is convenient for analyzing the responses of transmission lines composed of complex termination networks or complex transmission-lines networks. The validity and efficiency of the proposed algorithm is demonstrated using several examples. Finally, a 1-km 35 kV overhead line above an imperfectly conducting ground is studied, and the influences of ground wire and a metal-oxide arrester to the lightning-induced voltage are both discussed.

Keywords

arresters; electromagnetic fields; finite element analysis; multiconductor transmission lines; overhead line conductors; time-domain analysis; transient response; wires (electric); backward differentiation formula; complex termination networks; complex transmission-lines networks; discrete equations; distance 1 km; electromagnetic field; ground wire; imperfectly conducting ground; lightning-induced voltage; metal-oxide arrester; modified node analysis formulation; multiconductor transmission lines; overhead line; time-domain finite-element method; transient response; value-delivery table; voltage 35 kV; Conductors; Equations; Frequency domain analysis; Mathematical model; Power transmission lines; Time domain analysis; Transient analysis; Electromagnetic (EM) coupling; finite-element methods; multiconductor transmission lines (MTLs); nonlinear circuits; transient response;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/TEMC.2010.2083653

Filename

5641606