External impedance and admittance of buried horizontal wires for transient studies using transmission line analysis

The paper investigates the applicability of some closed form expressions for the ground impedance and ground admittance of buried horizontal wires (bare and insulated) for lightning or switching transient analyses based on transmission line (TL) theory. In view of the frequency contents that typically characterize such transients, the behavior of the ground impedance and admittance is studied for a wide frequency range up to 10 MHz. Low frequency approximation of the ground impedance is not always appropriate for transient analysis. Sensitivity analyses show that, unlike overhead wires, the ground impedance for buried wires is little sensitive to the ground conductivity. On the other hand, the ground admittance varies strongly with the ground conductivity. The paper also discusses the results of transient analysis of buried cables performed by means of electromagnetic transient programs (EMTP) that neglect the ground admittance. The limits of such an approximation are discussed in order to evaluate the applicability of EMTP-like programs to the transient analysis of buried conductors. Transient pulse propagation in time domain based on finite difference time domain (FDTD) method of solution of TL equations is also discussed for a future inclusion of non-linear phenomena, like soil ionization and arcing/breakdown mechanisms, in the soil. The analysis presented could be useful in estimating surge propagation characteristics of buried wires for appropriate insulation coordination and transient protection. © 2007 IEEE.

Published in:
IEEE Transactions on Dielectrics and Electrical Insulation, 14, 3, 751-761
Division for Electricity and Lightning Research, Uppsala University, Box 534, S - 75121, Uppsala, Sweden Department of Electrical Engineering, University of Bologna, Viale Risorgimento, 2, 40136 Bologna, Italy EMC Group, Swiss Federal Institute of Technology, Station 11, CH-1015 Lausanne, Switzerland
Cited By (since 1996): 21
Export Date: 25 April 2012
Source: Scopus
doi: 10.1109/TDEI.2007.369540
Language of Original Document: English
Correspondence Address: Theethayi, N.; Division for Electricity and Lightning Research, Uppsala University, Box 534, S - 75121, Uppsala, Sweden
References: Fisher, R.J., Schnetzer, G.H., Thottappillil, R., Rakov, V.A., Uman, M.A., Goldberg, J., Parameters of Triggered Lightning Flashes in Florida and Alabama (1993) J. Geophys. Res, 98, pp. 22887-22902; Schoene, J., Uman, M.A., Rakov, V.A., Kodali, V., Rambo, K.J., Schnetzer, G.H., Statistical characteristics of the electric and magnetic fields and their time derivatives 15 m and 30 m from triggered lightning (2003) J. Geophys. Res, 108 (D6), p. 4192. , doi: 10.1029/2002JD002698; Pollaczek, F., Sur le champ produit par un conducteur simple infiniment long parcouru par un courant alternatif (1931) Revue Gen. Elec, 29, pp. 851-867; Sunde, E.D., (1968) Earth conduction effects in transmission systems, , Dover publication, New York; Wedepohl, L.M., Wilcox, D.J., Transient analysis of underground power transmission systems (1973) Proc. IEE, 120, pp. 253-260; Wait, J.R., Elcctromagnetic wave propagation along a buried insulated wire (1972) Can. J. Phys, 50, pp. 2402-2409; Vance, E.F., (1978) Coupling to shielded cables, , John Wiley and Sons; Bridges, G.E., Fields Generated by Bare and Insulated Cables Buried in a Lossy Half-Space (1992) IEEE Trans. Geo. Remote Sensing, 30, pp. 40-146; Chen, K.C., (2001) Transient Response of an Infinite Wire in a Dissipativc Medium, pp. IN453. , Interaction notes on BMP and related subjects Dr. C. E. Baum, Editor; Tesche, F.M., lanoz, M., Karlsson, T., (1997) EMC analysis methods and computational methods, , John Wiley and Sons; Saad, O., Gaba, G., Giroux, M., A closed-form approximation for ground return impedance of underground cables (1996) IEEE Trans. Power Delivery, 11, pp. 1536-1545; Dommel, H.W., (1986) Electromagnetic Transients Program (EMTP theory book), , Bonneville Power Administration; Petrache, E., Rachidi, F., Paolone, M., Nucci, C.A., Rakov, V.A., Uman, M.A., Lightning induced disturbances in buried cables - part I: Theory (2005) IEEE Trans. Electromagnetic Compatibility, 47, pp. 498-508; Theethayi, N., (2005) Electromagnetic Interference in Distributed Outdoor Electrical Systems, with an Emphasis on Lightning Interaction with Electrified Railway Network, , Ph.D. Thesis, ISBN 91-554-6301-0, Uppsala University; Chen, K.C., Damrau, K.M., Accuracy of approximate transmission line formulas for overhead wires (1989) IEEE Trans. Electromagnetic Compatibility, 31, pp. 396-397; Rachidi, F., Nucci, C.A., lanoz, M., Influence of a lossy ground on lightning-induced voltages on overhead lines (1996) IEEE Trans., Electromagnetic Compatibility, 38, pp. 250-264; Nucci, C.A., Rachidi, F., Interaction of electromagnetic fields with electrical networks generated by lightning (2003) of The Lightning Flash: Physical and Engineering Aspects, , IEE Press, London; Meyer, W.S., Liu, T., Alternative Transient Program (ATP) rule book (1987) Canadian/American EMTP user group, , ©; Marti, L., Simulation of transients in underground cables with frequency dependant modal transformation matrices (1988) IEEE Trans. Power Delivery, 3, pp. 1099-1110; Ametani, A., A general formulation of impedance and admittance of cables (1980) IEEE Trans. Power App. Syst, 99, pp. 902-910; Dommel, H.W., Overhead line parameters from handbook formulas and computer programs (1985) IEEE Trans. Power App. Syst, 104, pp. 366-372; N. Theethayi, R. Thottappillil, Y. Liu and R. Montano, Important parameters that influence crosstalk in multiconductor transmission lines, Electric Power Systems Research, (2006). doi:10.1016/j.epsr.2006.06.014. in press, availble onlineThe Math Works, Inc, USASemlyen, A., Debulenau, A., Fast and accurate switching transient calculations on transmission lines with ground return recursive convolution (1975) IEEE Trans. Power App. Syst, 94, pp. 561-571; Araneo, R., Celozzi, S., Direct time domain analysis of transmission lines above a lossy ground (2001) IEE Proc. Sci. Measurement Technology, 148, pp. 73-79; Gustavsen, B., Semlyen, A., Rational approximation of frequency domain responses by vector fitting (1999) IEEE Trans. Power Delivery, 14, pp. 1052-1061; Mahseredjian, J., Lefebvre, S., Do, X.-D., A new method for timedomain modelling of nonlinear circuits in large linear networks (1993) Proc 11 th power systems computation conf. (PSCC), 2, pp. 915-922; Mahseredjian, J., Dube', L., Ge'rin-Lajoie, L., New advances in the simulation of transients with EMTP: Computation and visualization techniques (2002) Electrimacs; Paul, C.R., (1994) Analysis of Multiconductor Transmission Lines, , John Wiley and Sons Inc; Agrawal, A.K., Price, H.J., Ourbaxani, S.H., Transient response of a multiconductor transmission line excited by a nonuniform electromagnetic field (1980) IEEE Trans. Electromagnetic Compatibility, 22, pp. 119-129; Yee, K.S., Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media (1966) IEEE Trans. Antennas and Propagation, 14, pp. 302-307; Tafflove, A., (1995) Computational electrodynamics: The finite difference time domain method, , Artech House; Noda, T., Yonezawa, R., Yokoyama, S., Takahashi, Y., Error in propagation velocity due to staircase approximation of an inclined thin wire in FDTD surge simulation (2004) IEEE Trans. Power Delivery, 19, pp. 1913-1918; Baba, Y., Rakov, V.A., Voltages induced on an overhead wire by lightning strikes to a nearby tall grounded object (2006) IEEE Trans. Electromagnetic Compatibility, 48, pp. 212-224
Other identifiers:
Scopus: 2-s2.0-34250223457
View record in Web of Science
DAR: 10797

 Record created 2012-05-01, last modified 2018-12-03

Rate this document:

Rate this document:
(Not yet reviewed)