Vol. 44

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2015-10-01

Fixed-Image-Method-Based Transient Electromagnetic Model of Grounding System in Horizontally Stratified Multilayer Medium

By Dino Lovrić and Slavko Vujević
Progress In Electromagnetics Research M, Vol. 44, 1-12, 2015
doi:10.2528/PIERM15072403

Abstract

In this paper, a frequency-domain-based transient electromagnetic model of grounding system in horizontally stratified multilayer medium is presented. The basis of the model is an improved version of the time-harmonic electromagnetic model of grounding system. Using the originally developed continuous numerical Fourier transform algorithm, the results obtained by the time-harmonic model are synthesized into a complete time domain solution. The presented model features very high accuracy and fast execution speed and is validated through several numerical examples.

Citation


Dino Lovrić and Slavko Vujević, "Fixed-Image-Method-Based Transient Electromagnetic Model of Grounding System in Horizontally Stratified Multilayer Medium," Progress In Electromagnetics Research M, Vol. 44, 1-12, 2015.
doi:10.2528/PIERM15072403
http://www.jpier.org/PIERM/pier.php?paper=15072403

References


    1. 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.
    doi:10.1109/TPWRD.2006.875857

    2. Arnautovski-Toševa, V. and L. Grčev, "A comparison of exact and image model for HF analysis of horizontal grounding conductors in two-layer soil," Proceedings of the 6th International Conference on Applied Electromagnetics, 5-8, Niš, Serbia and Montenegro, 2003.

    3. Sarajčev, P., S. Vujević, and D. Lovrić, "Time-harmonic current distribution on conductor grid in horizontally stratified multilayer medium," Progress In Electromagnetics Research B, Vol. 31, 67-87, 2011.
    doi:10.2528/PIERB11040807

    4. Colominas, I., et al., "Computer analysis of earthing systems in horizontally or vertically layered soils," Electric Power Systems Research, Vol. 59, No. 3, 149-156, 2001.
    doi:10.1016/S0378-7796(01)00148-1

    5. Ma, J., F. P. Dawalibi, and W. K. Daily, "Analysis of grounding systems in soils with hemispherical layering," IEEE Transactions on Power Delivery, Vol. 8, No. 4, 1773-1781, 1993.
    doi:10.1109/61.248284

    6. Sarajčev, P. and S. Vujević, "A review of methods for grounding grid analysis," Proceedings of the 17th International Conference on Software, Telecommunications & Computer Networks, 42-49, Split-Hvar-Korčula, Croatia, 2009.

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

    8. Liu, Y., M. Zitnik, and R. Thottappillil, "An improved transmission line model of grounding system," IEEE Transactions on Electromagnetic Compatibility, Vol. 43, No. 3, 348-355, 2001.
    doi:10.1109/15.942606

    9. Grcev, L. and F. Dawalibi, "An electromagnetic model for transients in grounding systems," IEEE Transactions on Power Delivery, Vol. 5, No. 4, 1773-1781, 1990.
    doi:10.1109/61.103673

    10. Mousa, M., "The soil ionization gradient associated with discharge of high currents into concentrated electrodes," IEEE Transactions on Power Delivery, Vol. 9, No. 3, 1669-1677, 1994.
    doi:10.1109/61.311195

    11. Chu, E. and A. George, Inside the FFT Black Box, Serial and Parallel Fast Fourier Transform Algorithms, CRC Press, Boca Raton, 2000.

    12. Lovrić, D., S. Vujević, and P. Sarajčev, "Accuracy of the Inverse Fast Fourier Transform in grounding grid transient analysis," Proceedings of the 20th International Conference on Applied Electromagnetics and Communications, (S10-3), 1-4, Dubrovnik, Croatia, 2010.

    13. Vujević, S., P. Sarajčev, and D. Lovrić, "Time-harmonic analysis of grounding system in horizontally stratified multilayer medium," Electric Power Systems Research, Vol. 83, 28-34, 2011.

    14. Sarajčev, P., S. Vujević, and D. Lovrić, "Computing the electromagnetic field of the system of arbitrarily positioned conductors in horizontally stratified multilayer medium," International Journal of Numerical Modelling --- Electronic Networks, Devices and Fields, Vol. 28, No. 2, 121-137, 2015.
    doi:10.1002/jnm.1991

    15. Vujević, S. and D. Lovrić, "On continuous numerical Fourier transform for transient analysis of lightning current related phenomena," Electric Power Systems Research, Vol. 119, 364-369, 2015.
    doi:10.1016/j.epsr.2014.10.020

    16. Vujević, S. and D. Lovrić, "Inverse continuous numerical Fourier transform for transient analysis of electromagnetic phenomena," IEEE Transactions on Electromagnetic Compatibility, Published online, doi: 10.1109/TEMC.2015.2417654, 2015.

    17. Vujević, S. and P. Sarajčev, "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, Vol. 27, 624-637, 2008.
    doi:10.1108/03321640810861070

    18. Stojković, Z., M. S. Savić, J. M. Nahman, D. Salamon, and B. Bukorović, "Sensitivity analysis of experimentally determined grounding grid impulse characteristics," IEEE Transactions on Power Delivery, Vol. 13, No. 4, 1136-1142, 1998.
    doi:10.1109/61.714473

    19. Arnautovski-Toševa, V. and L. Grčev, "Transient analysis of grounding grids in twolayer soil," Proceedings of 7th International Conference on Applied Electromagnetics, 360-370, Niš, Serbia and Montenegro, 2005.

    20. Grcev, L. D., "Computer analysis of transient voltages in large grounding systems," IEEE Transactions on Power Delivery, Vol. 11, No. 2, 815-823, 1996.
    doi:10.1109/61.489339

    21. Lovrić, D., S. Vujević, and T. Modrić, "Least-squares estimation of double-exponential function parameters," Proceedings of the 11th International Conference on Applied Electromagnetics, (O2-4) 1-4, Niš, Serbia, 2013.

    22. Vujević, S., D. Lovrić, and I. Jurić-Grgić, "Least squares estimation of Heidler function parameters," European Transactions on Electrical Power, Vol. 21, No. 1, 505-521, 2011.
    doi:10.1002/etep.457