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Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0001-9635-0301
Cyril and Methodius University, Skopje, Macedonia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
University of Nis, Faculty of Electronic Eng., Serbia.
2016 (English)In: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering / [ed] Sergei Silvestrov and Milica Rančić, Springer, 2016, 33-49 p.Chapter in book (Refereed)
Abstract [en]

A new simple approximation that can be used for modeling of one type of Sommerfeld integrals typically occurring in the expressions that describe sources buried in the lossy ground, is proposed in the paper. The ground is treated as a linear, isotropic and homogenous medium of known electrical parameters. Proposed approximation has a form of a weighted exponential function with an additional complex constant term. The derivation procedure of this approximation is explained in detail, and the validation is done applying it in the analysis of a bare conductor fed in the center and immersed in the lossy ground at arbitrary depth. Wide range of ground and geometry parameters of interest has been taken into consideration.

Place, publisher, year, edition, pages
Springer, 2016. 33-49 p.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 178
Keyword [en]
approximation, Sommerfeld integrals, weighted exponential function
National Category
Computational Mathematics Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33099DOI: 10.1007/978-3-319-42082-0_3Scopus ID: 2-s2.0-85015265243ISBN: 978-3-319-42082-0 (print)ISBN: 978-3-319-42081-3 (print)OAI: oai:DiVA.org:mdh-33099DiVA: diva2:963144
Available from: 2016-09-08 Created: 2016-09-08 Last updated: 2017-09-04Bibliographically approved

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Publisher's full textScopushttps://link.springer.com/chapter/10.1007/978-3-319-42082-0_3

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CiteExportLink to record
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Citation style
  • apa
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