Progress In Electromagnetics Research B
ISSN: 1937-6472
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By P. Sarajcev, S. Vujevic, and D. Lovric

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This paper presents a novel time-harmonic electromagnetic model for determining the current distribution on conductor grids in horizontally stratified multilayer medium. This model could be seen as a basis of the wider electromagnetic model for the frequency-domain transient analysis of conductor grids in multilayer medium. The total number of layers and the total number of conductors are completely arbitrary. The model is based on applying the finite element technique to an integral equation formulation. Each conductor is subdivided into segments with satisfying the thin-wire approximation. Complete electromagnetic coupling between segments is taken into account. The computation of Sommerfeld integrals is avoided through an effective approximation of the attenuation and propagation effects. Computation procedure for the horizontally stratified multilayer medium is based on the successful application of numerical approximations of two kernel functions of the integral expression for the potential distribution within a single layer, which is caused by a point source of harmonic current. Extension from the point source to a segment of the earthing grid conductors is accomplished through integrating the potential contribution due to the line of harmonic current source along the segments axis.

P. Sarajcev, S. Vujevic, and D. Lovric, "Time-Harmonic Current Distribution on Conductor Grid in Horizontally Stratified Multilayer Medium," Progress In Electromagnetics Research B, Vol. 31, 67-87, 2011.

1. Sarajcev, P. and S. Vujevic, "Grounding grid analysis: Historical background and classification of methods," International Review of Electrical Engineering, Vol. 4, No. 4, 670-683, 2009.

2. Berberovic, S. and V. Boras, "Modified numerical current field calculation in determining non-equipotential large earthing system parameters," Proc. of the 25th Int. Conf. on Lightning Protection, 478-483, Rhodes, Greece, 2000.

3. Boras, V., S. Berberovic, and S. Nikolovski, "Improved numerical calculation of earthing system parameters in non-equipotential AC substation earthing grids," Proc. of the 26th Int. Conf. on Lightning Protection, 388-393, Cracow, Poland, 2002.

4. Otero, A. F., J. Cidras, and J. L. Del Alamo, "Frequency-dependent grounding system calculation by means of a conventional nodal analysis technique," IEEE Transactions on Power Delivery, Vol. 14, No. 3, 873-878, 1999.

5. Grcev, L. and F. Dawalibi, "An electromagnetic model for transients in grounding systems," IEEE Transactions on Power Delivery, Vol. 5, No. 4, 1773-1781, 1999.

6. Dawalibi, F., "Electromagnetic fields generated by overhead and buried short conductors, Part I - Single conductor," IEEE Transactions on Power Delivery, Vol. 1, No. 4, 105-111, 1986.

7. Dawalibi, F., "Electromagnetic fields generated by overhead and buried short conductors, Part II - Ground networks ," IEEE Transactions on Power Delivery, Vol. 1, No. 4, 112-119, 1986.

8. Arnautovski-Toseva, V., L. Gr┬Ěcev, and K. El Khamlichi Drissi, "High frequency electromagnetic analysis of horizontal earthing conductor and near-by passive parallel conductor within two-layer soil ," 15 International Conference on Software Telecommunications and Computer Network, (SoftCOM 2007), Split, Croatia, Sep. 27-29, 2007.

9. V., L. Grcev, "Arnautovski-Toseva," Journal of Computational and Applied Mathematics, Vol. 168, No. 1-2, 29, 2004.

10. Li, Z.-X., W. Chen, J. B. Fan, and J. Lu, "A novel mathematical modeling of grounding system buried in multilayer earth," IEEE Transactions on Power Delivery, Vol. 21, No. 3, 1267-1272, 2006.

11. Vujevic, S. and P. Sarajcev, "Potential distribution for a harmonic current point source in horizontally stratified multilayer medium," The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL), Vol. 27, No. 3, 624-637, 2008.

12. Grcev, L. and V. Arnautovski-Toseva, "Grounding systems modeling for high frequencies and transients: Some fundamental considerations," 2003 IEEE Bologna Power Tech Conference, Bologna, Italy, Jun. 23-26, 2003.

13. Visacro, S. and G. Rosado, "Response of grounding electrodes to impulsive currents: An experimental evaluation," IEEE Transactions on Electromagnetic Compatibility, Vol. 1, No. 1, 161-164, 2009.

14. Stojkovic, Z., M. S. Savic, J. M. Nahman, D. Salamon, and B. Bukorovic , "Sensitivity analysis of experimentally determined grounding grid impulse characteristics ," IEEE Transactions on Power Delivery, Vol. 13, No. 4, 1136-1142, 1998.

15. Sekioka, S., H. Hayashida, T. Hara, and A. Ametani, "Measurements of grounding resistances for high impulse currents," IEE Proceedings - Generation, Transmission and Distribution , Vol. 145, No. 6, 693-699, 1998.

16. Vujevic, S. and M. Kurtovic, "Numerical analysis of earthing grids buried in horizontally stratified multilayer earth," International Journal for Numerical Methods in Engineering, Vol. 41, 1297-1319, 1998.

17. Vujevic, S., P. Sarajcev, and R. Lucic, "Computing the mutual impedances between segments of earthing system conductors," Computational Methods and Experimental Measurements XII, 641-650, WIT Press, Southampton, UK, 2005.

18. Silvester, P. P. and R. L. Ferrari, Finite Elements for Electrical Engineers, 3rd edition, Cambridge University Press, Cambridge, 1996.

19. Vujevic, S., V. Boras, and P. Sarajcev, "A novel algorithm for internal impedance computation of solid and tubular cylindrical conductors," International Review of Electrical Engineering (IREE), Vol. 4, No. 6, 1418-1425, 2009.

20. Lovric, D., V. Boras, and S. Vujevic, "Accuracy of approximate formulas for internal impedance of tubular cylindrical conductors for large parameters ," Progress In Electromagnetics Research M, Vol. 16, 177-184, 2011.

21. Grcev, L., "Impulse efficiency of ground electrodes," IEEE Transactions on Power Delivery, Vol. 24, No. 1, 441-451, 2009.

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