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New Integral Formulas for the Elements of the Transient Ground Resistance Matrix of Multiconductor Lines

TitleNew Integral Formulas for the Elements of the Transient Ground Resistance Matrix of Multiconductor Lines
Publication TypeJournal Article
Year of Publication2017
AuthorsTossani, F., F. Napolitano, and A. Borghetti
JournalIEEE Transactions on Electromagnetic Compatibility
Volume59
Pagination193-198
Date PublishedFeb
ISSN0018-9375
KeywordsConductivity, earthing, Fourier transforms, Ground impedance, integral equations, integral formulas, inverse Fourier transform, inverse Laplace transform, inverse transforms, Laplace equations, Laplace transforms, multiconductor lines, multiconductor overhead line, multiconductor transmission lines, per-unit length voltage drop, power overhead lines, power transmission protection, Resistance, Soil, Sunde's logarithmic equation, time response, Transient analysis, transient ground resistance, transient ground resistance matrix elements, Transmission line matrix methods, transmission network calculations
Abstract

This paper proposes new formulas for the calculation of the transient ground resistance matrix elements based on the analytical solution of the inverse Laplace transform of the Sunde's logarithmic equation. The new formulas solve the computational issues in the representation of the transition between early time and late time response of the line that arises when adopting the expressions already available in the literature. The formulas are adopted for the calculation of the per-unit length voltage drop due to the transient ground resistance in a multiconductor overhead line and the results match those provided by the numerical inverse Fourier transform of Sunde's logarithmic equation.

DOI10.1109/TEMC.2016.2591590