volume | PIER Journals

Abstract

Recent studies show that the frequency dependent soil properties can significantly influence transient grounding resistance and, subsequently, lightning protection and reliability of the electrical grid. However, these properties require further research: for example, it is not clear what factors (apart from the low-frequency resistivity) should be taken into consideration to determine accurately the properties for a particular soil (without conducting laborious measurements). Additional experimental data are needed. When measurements are conducted, the electromagnetic coupling between circuits can cause significant measurement error at frequencies about several MHz. In order to estimate this error, it is convenient to use a calculation method, as in this case, it is possible to set particular frequency dependent properties for the ground and compare those with the calculated ones (using an electrode array). In the article, the electromagnetic coupling error is examined for several commonly used electrode arrays using the finite difference time domain method. This method allows simulating wires with innite length, which is important for modeling pole-dipole and pole-pole arrays. Its drawback for this type of calculations, however, that it is relatively time-consuming. It was found that among the considered array configurations the error is smallest for the dipole-dipole arrays with the perpendicular allocation of the measurement wires and the pole-dipole array. By increasing the distance between particular parts of measurement wires, one can significantly reduce the error for some other arrays.

1. Kuklin, D., "Choosing configurations of transmission line tower grounding by back flashover probability value," Front. Energy, Vol. 10, No. 2, 213-226, 2016.
doi:10.1007/s11708-016-0398-6 Google Scholar

2. Visacro, S. and R. Alipio, "Frequency dependence of soil parameters: Experimental results, predicting formula and influence on the lightning response of grounding electrodes," IEEE Trans. Power Delivery, Vol. 27, No. 2, 927-935, 2012.
doi:10.1109/TPWRD.2011.2179070 Google Scholar

3. Alipio, R. and S. Visacro, "Frequency dependence of soil parameters: Effect on the lightning response of grounding electrodes," IEEE Trans. Electromagn. Compat., Vol. 55, No. 1, 132-139, 2013.
doi:10.1109/TEMC.2012.2210227 Google Scholar

4. Visacro, S. and F. H. Silveira, "The impact of the frequency dependence of soil parameters on the lightning performance of transmission lines," IEEE Trans. Electromagn. Compat., Vol. 57, No. 3, 434-441, 2015.
doi:10.1109/TEMC.2014.2384029 Google Scholar

5. Alipio, R. and S. Visacro, "Modeling the frequency dependence of electrical parameters of soil," IEEE Trans. Electromagn. Compat., Vol. 56, No. 5, 1163-1171, 2014.
doi:10.1109/TEMC.2014.2313977 Google Scholar

6. Sumner, J. S., Principles of Induced Polarization for Geophysical Exploration, Elsevier Scientific, 1976.

7. Roy, A. and A. Apparao, "Depth of investigation in direct current methods," Geophysics, Vol. 36, No. 5, 943-959, 1971.
doi:10.1190/1.1440226 Google Scholar

8. Barker, R., "Depth of investigation of collinear symmetrical four-electrode arrays," Geophysics, Vol. 54, No. 8, 1031-1037, 1989.
doi:10.1190/1.1442728 Google Scholar

9. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd Ed., Artech House, 2005.

10. Railton, C. J., D. L. Paul, I. J. Craddock, and G. S. Hilton, "The treatment of geometrically small structures in FDTD by the modification of assigned material parameters," IEEE Trans. Antennas Propag., Vol. 53, No. 12, 4129-4136, 2005.
doi:10.1109/TAP.2005.860008 Google Scholar

11. Taniguchi, Y., Y. Baba, N. Nagaoka, and A. Ametani, "An improved thin wire representation for FDTD computations," IEEE Trans. Antennas Propag., Vol. 56, No. 10, 3248-3252, 2008.
doi:10.1109/TAP.2008.929447 Google Scholar

12. Taniguchi, Y., Y. Baba, N. Nagaoka, and A. Ametani, "An improved arbitrary-radius-wire representation for FDTD electromagnetic and surge calculations," International Conference on Power Systems Transients (IPST2009), Kyoto, Japan, 2009. Google Scholar

13. Okoniewski, M., M. Mrozowski, and M. A. Stuchly, "Simple treatment of multi-term dispersion in FDTD," IEEE Microw. Guided Wave Lett., Vol. 7, No. 5, 121-123, 1997.
doi:10.1109/75.569723 Google Scholar

14. Kuklin, D., "Extension of thin wire techniques in the FDTD method for Debye media," Progress In Electromagnetics Research M, Vol. 51, 9-17, 2016.
doi:10.2528/PIERM16081804 Google Scholar

15. Kelley, D. F., T. J. Destan, and R. J. Luebbers, "Debye function expansions of complex permittivity using a hybrid particle swarm-least squares optimization approach," IEEE Trans. Antennas Propag., Vol. 55, No. 7, 1999-2005, 2007.
doi:10.1109/TAP.2007.900230 Google Scholar

16. Roy, A., "Depth of Investigation in Wenner, three-electrode and dipole-dipole DC resistivity methods," Geophysical Prospecting, Vol. 20, No. 2, 329-340, 1972.
doi:10.1111/j.1365-2478.1972.tb00637.x Google Scholar

17. Heiland, C. A., Geophysical Exploration, Prentice-Hall, Inc., 1946.

18. Heidler, F. and J. Cvetic, "A class of analytical functions to study the lightning effects associated with the current front," European Transactions on Electrical Power, Vol. 12, No. 2, 141-150, 2002.
doi:10.1002/etep.4450120209 Google Scholar

Mr. Dmitry Kuklin