Contents
The exact image theory for the Sommerfeld halfspace problem recently introduced by the present authors is applied for overhead transmission line calculation. Well behaved integrals are derived for the electromagnetic fields induced by the sinusoidal 50 Hz current. Limiting expressions valid for small distances are presented, and the ranges of validity are discussed for these approximations as well as for the well-known dipole at complex depth approximation and a demonstration comparing these with the exact results is given.
Übersicht
Die genaue Spiegelbild-Theorie für das sommerfeldsche Halbraum-Problem, die neulich von den Autoren dargestellt wurde, wird auf die Berechnung der Freileitungen angewandt. Gut konvergierende Integrale werden für das elektromagnetische Feld abgeleitet, das von sinusförmigem Strom der Frequenz 50 Hz erregt wird. Asymptotische Entwicklungen, die gültig für kleine Entfernungen sind, werden angegeben. Geltungsbereiche dieser Entwicklungen sowie der Approximation des bekannten Dipols in einer fiktiven komplexen Tiefe werden diskutiert. Die Ergebnisse werden mit den exakten Resultaten verglichen.
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Alanen, E., Lindell, I.V. Image calculation of electromagnetic field from power lines above a dissipative ground. Archiv f. Elektrotechnik 68, 259–265 (1985). https://doi.org/10.1007/BF01845937
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DOI: https://doi.org/10.1007/BF01845937