Some Modeling Features of Horizontally-Layered Ground’s Return Parameters

Öz

Possibility and conditions of modeling heterogeneous (horizontally-layered) earth as homogeneous medium in the Carson problem is considered in the present article. This problem consists of calculation the improper integral determines so called earth or ground return parameters i.e. earth’s contribution to the some parameters of double-wired aerial system, such as intensity of electrical field and mutual impedance and also to the magnetic vector potential of a single aerial wire. As it was proven earlier the Carson integral for heterogeneous earth does not exist in the terms of general value. In the same time numerical computation of Carson integral for heterogeneous (horizontally-layered) earth may face with calculative difficulties. It is shown in the article that in the certain high frequency ranges horizontally-layered ground may be presented as a homogeneous medium having parameters of the upper layer, the corresponding differences and frequencies were evaluated for some earth’s structures and parameters.

Kaynakça

1. J.R. Carson, “Wave propagation in overhead wires with ground return, The Bell System Technical Journal,” Vol. 5, No. 4, pp. 539-554, 1926.
2. V.R. Bursian, Theory of electromagnetic fields used in electrical exploration, Leningrad: Nedra, 1972 (in Russian).
3. T.M. Lazimov, “Analytical expression of Carson integral for electrically homogeneous ground,” Electricity, No. 8, pp. 66-72, 1993 (in Russian).
4. T.M. Lazimov, “Analytical expression for the resistance of electrically homogeneous ground taking account its dielectric properties,” Russian Electrical Engineering (New-York edition), Vol. 66, No. 2, pp. 27-31, 1996.
5. W. H. Wise, “Propagation of free frequency currents in ground return systems,” Proceeding IRE, Vol. 22, No. 4, pp. 522-527, 1934.
6. M.V. Kostenko, “Mutual impedances between overhead lines taking into account skin-effect,” Electricity, No. 10, pp. 29-34, 1955 (in Russian).
7. C. Gary, “Approche complete de la propagation multifilaire en haute frequency par utilization des matrices complexes,” EDF Bulletin de la Direction des Etudes et Recherches, Serie B, No. 3-4, pp. 5-20, 1976.
8. T.P. Kaskevich, G.G. Puchkov, “Influence of horizontally layered earth’s structure on mutual inductance coefficient between single-wired lines,” Transactions of SibNIIE, Vol. 33, pp. 36-47, 1976 (in Russian).

9. V.I. Glushko, “Methods for calculation magnetic influence between electric circuits taking into account finite conductance of earth,” Electricity, No. 3, pp. 6-18, 1986 (in Russian).
10. T.M. Lazimov, “On convergence of Carson integral for horizontally layered earth,” Balkan Journal of Electrical & Computer Engineering, Vol. 1, No. 1, pp. 2-5, 2013.
11. T.M. Lazimov, “Research of magnetic influence of electric networks on techno-sphere,” Power Engineering, Minsk, Belarus, No. 5-6, 1995 (in Russian).
12. N. Watson, J. Arrilaga, Power Systems Electromagnetic Transients Simulation, IET, United Kingdom, 2003.
13. E.C. Jordan, Electromagnetic Waves and Radiating Systems, Prentice-Hall, United Kingdom, 1968.