Skip to main content
Log in

Calculation of the electromagnetc field of overhead transmission line with earth return grounded at its end

Berechnung des elektromagnetischen Feldes einer stromdurchflossenen geerdeten Freileitung mit Erdrückführung

  • Published:
Archiv für Elektrotechnik Aims and scope Submit manuscript

Contents

The electromagnetic field of a horizontal transmission line above the earth with earth return grounded at its end is calculated on sinusoidal current. Approximate, however in the whole range of frequency sufficiently accurate explicit formulae are given for the electric field strength components. The model is appropriate for calculating self, — and mutual impedances of arrangements consisting of horizontal and vertical straight lines.

Übersicht

Es wird das elektromagnetische Feld einer am Ende geerdeten, in der Höhe h über den Boden befindlichen, wechselstromdurchflossenen Freileitung mit Erdrückführung berechnet. Näherungsausdrücke, die aber im gesamten Frequenzbereich hinreichende Genauigkeit bieten, wurden für die einzelnen Komponenten der elektrischen Feldstärke abgeleitet. Mit diesem Modell ist es möglich, die Selbst- und Gegeninduktivität von aus horizontalen und vertikalen, geraden Leitungen bestehenden Anordnungen zu berechnen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Carson, J. R.: Wave propagation in overhead wires with earth return. Bell Syst. Tech. J. Number of the Volum (1926) 539–554

  2. Pollaczek, F.: Über das Feld einer unendlich langen wechselstromdurchflossenen Einfachleitung. Elektr. Nachr.-Tech. Number of the Volum (1926) 339–359

  3. Foster, R. M.: Mutual impedance of grounded wires lying on the surface of the earth. Bell Syst. Tech. J. 10 (1931) 408–419

    Google Scholar 

  4. Carter, R. O.: The mutual impedance between short earth-return circuits. Journal I.E.E. 94 (1947) Part. I. 275–277

    Google Scholar 

  5. Lacey, L. J.: Mutual impedance of earth-return circuits. Proc. of the I.E.E. Vol. 99 (1952) Part IV. 156–167

    Google Scholar 

  6. Kostenko, M. V.: Mutual impedance of earth-return overhead lines taking into account the skin-effect. (In Russian) Elektritchestvo 10 (1955) 29–34

    Google Scholar 

  7. Ivanitskaja, O. N.; Kostenko, M. V.; Jurinov, V. M.: Accounting for the effect of finite length near the fault point in calculating the dangerous interference of power transmission lines on communication lines. Izvestia Vuzov Energetica, 5 (1960) 26–34 (in Russian)

    Google Scholar 

  8. Simonyi, K.: Foundations of electrical engineering. Oxford: Pergamon Press Ltd. 1963

    Google Scholar 

  9. Sunde, E. D.: Earth conduction effects in transmission Systems. D. van Nostrand Company, Inc. Toronto-New York-London: 1968

    Google Scholar 

  10. Kostenko, M. V.; Mihailov, K. E.; Portinov, E. L.; Pozdnjakov, L. G.; Sokolov, V. B.; Zarhi, I. M.: Resistive and inductive interference on communication lines entering large power plants. CIGRE Vol. II, 36–02 (1970) 1–8

    Google Scholar 

  11. Déri, Á.; Tevan, G.: Mathematical verification of Dubanton's simplified calculation of overhead transmission line Parameters and its physical interpretation. Arch. Elektrotech. 63 (1981) 191–198

    Google Scholar 

  12. Déri, Á.; Tevan, G.; Semlyén, A.; Castanheira, A.: The complex ground return plane, a simplified model for homogeneous and multi-layer earth return. IEEE Trans. PAS 100 (1981) 3686–3693

    Google Scholar 

  13. Tevan, G.; Déri, Á.: Some remarks about the accurate evaluation of the carson integral for mututal impedancies of lines with earth return. Arch. Elektrotech. 67 (1984) 83–90

    Google Scholar 

  14. Korn, G. A.; Korn, T. M.: Mathematical handbook for scientist and engineers. New York-Toronto-London: McGraw-Hill Book Company, Inc. 1961.

    Google Scholar 

  15. Gradshteyn, I. S.; Ryzhik, I. M.: Tables of integrals, series, and products. New York, London: Academic Press 1965

    Google Scholar 

  16. Foster, R. M.: Mutual impedance of grounded wires lying on or above the surface of the earth. Bell Syst. Tech. J. 12 (1933) 264–287

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tevan, G. Calculation of the electromagnetc field of overhead transmission line with earth return grounded at its end. Archiv f. Elektrotechnik 70, 401–412 (1987). https://doi.org/10.1007/BF01574008

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01574008

Keywords

Navigation