Proximity effect in a thin two-layer tubular conductor caused by a parallel filament

Author:

Filipovic Dragan1,Dlabac Tatijana2

Affiliation:

1. Faculty of Electrical Engineering, University of Montenegro, Podgorica, Montenegro

2. Faculty of Maritime Studies, University of Montenegro, Kotor, Montenegro

Abstract

In this paper, we determine in a closed form the current distribution in a thin two-layer tubular conductor with a sinusoidal current in the presence of a filament with an equal but opposite current. The method of treating the problem consists in solving an integral equation for the current density in one layer which enables to find the current density in the other layer by imposing equality of the tangential components of the electric fields at the layer interface. An important factor, the AC to DC resistance ratio for the conductor is also found in a closed form. Some numerical examples, for current distribution and resistance ratio, versus frequency or geometry parameters, are presented.

Publisher

National Library of Serbia

Subject

Electrical and Electronic Engineering,Computer Networks and Communications,Hardware and Architecture,Mechanical Engineering,Energy Engineering and Power Technology,Control and Systems Engineering

Reference6 articles.

1. C. Manneback: An Integral Equation for Skin Effect in Parallel Conductors, Journal of Mathematics and Physics, Vol. 1, No. 3, April 1922, pp. 123-146.

2. H. B. Dwight: Electrical Coils and Conductors, Their Electrical Characteristics and Theory, 1st Edition, McGraw- Hill Book Co., New York, London, 1945.

3. D. Filipović, T. Dlabač: A Closed Form Solution for the Proximity Effect in a Thin Tubular Conductor Influenced by a Parallel Filament, Serbian Journal of Electrical Engineering, Vol. 7, No. 1, May 2010, pp. 13-20.

4. D. Filipović, T. Dlabač: A Closed Form Solution for the Current Density in a Solid Round Conductor Influenced by a Filament, Proceedings of the 54th Conference for Electronics, Telecommunications, Computers, Automatic Control and Nuclear Engineering (ETRAN), Donji Milanovac, Serbia, June 2010, pp. 22. (in Serbian).

5. J. A. Tegopoulos, E. E. Kriezis: Eddy Current Distribution in Cylindrical Shells of Infinite Length due to Axial Currents, Part I: Shells of one Boundary, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-90, No. 3, May 1971, pp. 1278-1286.

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