On the choice between transmission line equations and full-wave Maxwell's equations for transient analysis of buried wires

IEEE Transactions on Electromagnetic Compatibility

Volumn 50, Issue 2, 2008, Pages 347-357

  Theethayi, Nelson ^a   Baba, Yoshihiro ^b   Rachidi, Farhad ^c   Thottappillil, Rajeev ^a  

^a UPPSALA UNIVERSITY   (Sweden)

^b DOSHISHA UNIVERSITY   (Japan)

^c EPFL   (Switzerland)

Author keywords

Grounding; Lightning; Power system lightning effects; Transient analysis; Transmission line (TL) theory

Indexed keywords

COMPUTER SIMULATION; ELECTRIC LIGHTING; ELECTRIC POWER SYSTEMS; ELECTRIC WIRE; ELECTROMAGNETIC WAVE PROPAGATION; FINITE DIFFERENCE TIME DOMAIN METHOD; MAXWELL EQUATIONS;

ELECTROMAGNETIC TRANSIENT ANALYSES; TRANSVERSE ELECTROMAGNETIC MODE (TEM);

ELECTRIC LINES;

EID: 44949233875     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2008.919040     Document Type: Article

References (40)

1. V. A. Rakov and M. A. Uman, Lightning: Physics and Effects. Cambridge, U.K.: Cambridge Univ. Press, 2003.
2. E. Petrache, F. Rachidi, M. Paolone, C. A. Nucci, V. A. Rakov, and M. A. Uman, "Lightning induced disturbances in buried cables-part I: Theory," IEEE Trans. Electromagn. Compat., vol. 47, no. 3, pp. 498-508, Aug. 2005.
3. M. Paolone, E. Petrache, F. Rachidi, C. A. Nucci, V. A. Rakov, M. A. Uman, D. Jordan, K. Rambo, J. Jerauld, M. Nyffeler, and J. Schoene, "Lightning-induced voltages on buried cables. Part II: Experiment and model validation," IEEE Trans. Electromagn. Compat., vol. 47, no. 3, pp. 509-520, Aug. 2005.
4. E. D. Sunde, Earth Conduction Effects in the Transmission Systems. New York: Van Nostrand, 1949.
5. E. F. Vance, Coupling to Shielded Cables. New York: Wiley, 1978.
6. F. M. Tesche, M. V. Ianoz, and T. Karlsson, EMC Analysis Methods and Computational Models. New York: Wiley, 1997.
7. J. R. Carson, "Wave propagation in overhead wires with ground return," Bell Syst. Tech. J., vol. 5, pp. 539-554, 1926.
8. J. R. Wait, "Theory of wave propagation along a thin wire parallel to an interface," Radio Sci., vol. 7, no. 6, pp. 675-679, 1972.
9. P. R. Bannister, "Utilization of image theory techniques in determining the mutual coupling between elevated long horizontal line sources," Radio Sci., vol. 5, no. 11, pp. 1375-1381, 1970.
10. K. C. Chen and K. M. Damrau, "Accuracy of approximate transmission line formulas for overhead wires," IEEE Trans. Electromagn. Compat., vol. 31, no. 4, pp. 396-397, Nov. 1989.
11. F. Rachidi, C. A. Nucci, and M. Ianoz, "Transient analysis of multiconductor lines above a lossy ground," IEEE Trans. Power Del. vol. 14, no. 1, pp. 294-302, Jan. 1999.
12. A. Borghetti, A. Gutierrez, C. A. Nucci, M. Paolone, E. Petrache, and F. Rachidi, "Lightning-induced voltages on complex distribution systems: Models, advanced software tools and experimental validation," J. Electrostat., vol. 60, pp. 163-174, 2004.
13. N. Theethayi, R. Thottappillil, M. Paolone, C. A. Nucci, and F. Rachidi, "External impedance and admittance of buried horizontal wires for transient studies using transmission line analysis," IEEE Trans. Dielectr. Electr. Insul., vol. 14, no. 3, pp. 751-761, Jun. 2007.
14. A. Semlyen and A. Dabuleanu, "Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolution", IEEE Trans. Power Appl. Syst, vol. 94, no. 2, pp. 561-571, Mar. 1975.
15. R. Araneo and S. Celozzi, "Direct time domain analysis of transmission lines above a lossy ground," in Proc. Inst. Electr. Eng. - Sci. Meas. Technol., Mar., 2001, vol. 148, no. 2, pp. 73-79.
16. C. R. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1994.
17. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Antennas Propag., vol. 14, no. 3, pp. 302-307, May 1966.
18. Z. P. Liao, H. L. Wong, B.-P. Yang, and Y.-F. Yuan, "A transmitting boundary for transient wave analysis," Sci. Sinica, vol. A27, no. 10, pp. 1063-1076, 1984.
19. Y. Baba, N. Nagaoka, and A. Ametani, "Modelling of thin wires in a lossy medium for FDTD simulations," IEEE Trans. Electromagn. Compat. vol. 47, no. 1, pp. 54-60, Feb. 2005.
20. G. E. Bridges, "Fields generated by bare and insulated cables buried in a lossy half-space," IEEE Trans. Geosci. Remote Sens., vol. 30, no. 1, pp. 140-146, Jan. 1992.
21. J. R. Wait, "Electromagnetic wave propagation along a buried insulated wire," Can. J. Phys., vol. 50, pp. 2402-2409, 1972.
22. C. A. Nucci and F. Rachidi, "Interaction of electromagnetic fields with electrical networks generated by lightning," in The Lightning Flash V. Cooray, Ed. London, U.K.: IEE Press, 2003, ch. 8.
23. B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Del., vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
24. Y. Baba, N. Tanabe, N. Nagaoka, and A. Ametani, "Transient analysis of a cable with low-conducting layers by a finite-difference time-domain method," IEEE Trans. Electromagn. Compat., vol. 46, no. 3, pp. 488-493, Aug. 2004.
25. Y. Baba and V. A. Rakov, "On the interpretation of ground reflections observed in small-scale experiments simulating lightning strikes to towers," IEEE Trans. Electromagn. Compat., vol. 47, no. 3, pp. 533-542, Aug. 2005.
26. Y. Baba and V. A. Rakov, "Voltages induced on an overhead wire by lightning strikes to nearby tall grounded objects," IEEE Trans. Electromagn. Compat., vol. 48, no. 1, pp. 212-224, Feb. 2006.
27. R. F. Harrington, Field Computation by Moment Methods. Piscataway, NJ: IEEE Press, 1993.
28. G. Burke and A. Poggio, "Numerical electromagnetics code - Method of moments," Lawrence Livermore Nat. Lab., Livermore, CA, Rep. UCID-18834, 1981.
29. C. Gary, G. Graga, and D. Critescu, "Attenuation of travelling waves caused by Corona," CIGRE Study Committee, Paris, France, Rep. 33, Aug./Sep. 1978.
30. C. A. Nucci, S. Guerrieri, M. T. C. de Barros, and F. Rachidi, "Influence of corona on the voltages induced by nearby lightning on overhead distribution lines," IEEE Trans. Power Del., vol. 15, no. 4, pp. 1265-1273, Oct. 2000.
31. K. Asano, K. Miyazato, K. Hara, T. Shimomura, and Y. Horinouchi, "Study of flashover model on overhead distribution lines," Electr. Eng. Jpn., vol. 150, no. 1, pp. 34-41, 2005.
32. A. M. Mousa, "The soil ionization gradient associated with discharge of high currents into concentrated electrodes," IEEE Trans. Power Del. vol. 9, no. 3, pp. 1669-1677, Jul. 1994.
33. A. C. Liew and M. Darveniza, "Dynamic model of impulse characteristics of concentrated earths," Proc. Inst. Electr. Eng., vol. 121, no. 2, pp. 123-135, Feb. 1974.
34. A. Larsson, V. Scuka, K. Borgeest, and J. L. ter Haseborg, "Numerical simulation of gas discharge protectors - A review," IEEE Trans. Power Del., vol. 14, no. 2, pp. 405-410, Apr. 1999.
35. A. Taflove, Computational Electrodynamics: The Finite-Difference Time Domain Method. Norwood, MA: Artech House, 1995.
36. M. N. O. Sadiku, Numerical Techniques in Electromagnetics. Boca Raton, FL: CRC Press, 2001.
37. L. D. Grcev, "Computer analysis of transient voltages in large grounding systems," IEEE Trans. Power Del., vol. 11, no. 2, pp. 815-823, Apr. 1996.
38. A. S. Farag, T. C. Cheng, and D. Penn, "Grounding terminations of lightning protective systems," IEEE Trans. Dielectr. Electr. Insul. vol. 5, no. 6, pp. 869-877, Dec. 1998.
39. S. A. Schelkunoff, Antennas, Theory and Practice. New York: Wiley, 1952, pp. 104-106.
40. R. Thottappillil, M. A. Uman, and N. Theethayi, "Electric and magnetic fields from a semi-infinite antenna above a conducting plane," J. Electrostat., vol. 61, pp. 209-221, 2004.