Closed-Form Solution for Underground Impedance Calculations

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

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)1290-1292
Number of pages3
JournalProceedings of the IEEE
Issue number9
StatePublished - Sep 1986

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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