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

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.

[1]  M. Ianoz,et al.  Influence of a lossy ground on lightning-induced voltages on overhead lines , 1996 .

[2]  Rino Lucić,et al.  Simulation of electromagnetic transients on single transmission lines via the finite element metod , 1999 .

[3]  F. Rachidi,et al.  Lightning Electromagnetic Field Coupling to Overhead Lines: Theory, Numerical Simulations, and Experimental Validation , 2009, IEEE Transactions on Electromagnetic Compatibility.

[4]  Ernest S. Kuh,et al.  Transient simulation of lossy interconnects based on the recursive convolution formulation , 1992 .

[5]  Farhad Rachidi,et al.  An Advanced Interface Between the LIOV Code and the EMTP-RV , 2008 .

[6]  C. Taylor,et al.  The response of a terminated two-wire transmission line excited by a nonuniform electromagnetic field , 1965 .

[7]  Leon O. Chua,et al.  Computer-Aided Analysis Of Electronic Circuits , 1975 .

[8]  Hans Kristian Hoidalen,et al.  Analytical formulation of lightning-induced voltages on multiconductor overhead lines above lossy ground , 2003 .

[9]  Ashok K. Agrawal,et al.  Transient Response of Multiconductor Transmission Lines Excited by a Nonuniform Electromagnetic Field , 1980 .

[10]  M. Ishii,et al.  Numerical Electromagnetic Field Analysis of Tower Surge Response , 1997, IEEE Power Engineering Review.

[11]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[12]  M. Ianoz,et al.  EMC Analysis Methods and Computational Models , 1996 .

[13]  M. Ianoz,et al.  Lightning-induced voltages on overhead lines , 1993 .

[14]  Farhad Rachidi,et al.  Lightning-induced voltages on complex distribution systems: models, advanced software tools and experimental validation , 2004 .

[15]  Jianming Jin.  The Finite Element Method , 2010 .

[16]  F. Rachidi,et al.  Analysis of Transmission Lines With Arrester Termination, Considering the Frequency-Dependence of Grounding Systems , 2009, IEEE Transactions on Electromagnetic Compatibility.

[17]  Farhad Rachidi,et al.  On the contribution of the electromagnetic field components in field-to-transmission line interaction , 1995 .

[18]  T. Sarkar,et al.  Analysis of Multiconductor Transmission Lines , 1988, 31st ARFTG Conference Digest.

[19]  M. Rubinstein,et al.  An approximate formula for the calculation of the horizontal electric field from lightning at close, intermediate, and long range , 1996 .

[20]  T. Dhaene,et al.  A discussion of "Rational approximation of frequency domain responses by vector fitting" , 2006, IEEE Transactions on Power Systems.

[21]  Vernon Cooray,et al.  Horizontal fields generated by return strokes , 1992 .

[22]  F.M. Tesche.  On the Analysis of a Transmission Line With Nonlinear Terminations Using the Time-Dependent BLT Equation , 2007, IEEE Transactions on Electromagnetic Compatibility.

[23]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .

[24]  Farhad Rachidi,et al.  Formulation of the field-to-transmission line coupling equations in terms of magnetic excitation field , 1993 .

[25]  C.A. Christodoulou,et al.  Simulation of metal oxide surge arresters behavior , 2008, 2008 IEEE Power Electronics Specialists Conference.

[26]  F.M. Tesche,et al.  Development and Use of the BLT Equation in the Time Domain as Applied to a Coaxial Cable , 2007, IEEE Transactions on Electromagnetic Compatibility.

[27]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[28]  M. Ianoz,et al.  Response of multiconductor power lines to nearby lightning return stroke electromagnetic fields , 1996 .

[29]  R. Brayton,et al.  A new efficient algorithm for solving differential-algebraic systems using implicit backward differentiation formulas , 1972 .