Closed-Form Solution for Underground Impedance Calculations

Daniel Tylavsky; Kathy A. Brown; Taufik T. Ma

doi:10.1109/PROC.1986.13625

Closed-Form Solution for Underground Impedance Calculations

Daniel Tylavsky, Kathy A. Brown, Taufik T. Ma

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Recently, a closed-form solution for the self-impedance of a conductor directly buried in the earth has been conjectured through analogy with other closed-form approximations for overhead conductors. This letter provides a mathematical development for the equation and extends the results to the more general case of a conductor contained in a dielectric tunnel deep within a mr urn of arbitrary relative permeability. The derivation shows the mi., hematical approximations which are needed in obtaining the desired result and introduces a new simple, yet surprisingly accurate approximation for the ratio of Kelvin functions which is superior to the one-term approximation currently in use.

Original language	English (US)
Pages (from-to)	1290-1292
Number of pages	3
Journal	Proceedings of the IEEE
Volume	74
Issue number	9
DOIs	https://doi.org/10.1109/PROC.1986.13625
State	Published - Sep 1986

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/PROC.1986.13625

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Closed-Form Solution for Underground Impedance Calculations

Abstract

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