Vol.1_No.1

Abstract

—Convergence of the Carson integral for heterogeneous (horizontally layered) ground is researched in the article. This integral determines 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 single aerial wire. Although there have been obtained several analytical expressions for the integral under consideration in the case of homogeneous ground and worked up some methods for it’s calculation in the case of heterogeneous (horizontally layered) ground possibility of obtaining analytical solutions of the Carson integral for heterogeneous ground in general have not been researched yet and just a solution in the terms of principal value were once got. Almost all the other solutions obtained were got indirectly and have an approximate character, such as power series and asymptotical formulae. In the base of very general consideration it was shown in the article that this integral does not exist in the terms of general value

Keywords

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