Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Frequency Domain and Time Domain Response of the Horizontal Grounding Electrode Using the Antenna Theory Approach Read chapter Read first chapter

2016 | OriginalPaper | Chapter

6. Green Function of the Point Source Inside/Outside Spherical Domain - Approximate Solution

Authors : Nenad Cvetković, Miodrag Stojanović, Dejan Jovanović, Aleksa Ristić, Dragan Vučković, Dejan Krstić

Published in: Engineering Mathematics I

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A brief review of derivation of two groups of approximate closed form expressions for the electrical scalar potential (ESP) Green functions that originates from the current of the point ground electrode (PGE) in the presence of a spherical ground inhomogeneity are presented in this paper. The PGE is fed by a very low frequency periodic current through a thin isolated conductor. One of approximate solutions is proposed in this paper. Known exact solutions that have parts in a form of infinite series sums are also given in this paper. In this paper, the exact solution is solely reorganized in order to facilitate comparison to the closed form solutions, and to estimate the error introduced by the approximate solutions. Finally, error estimation is performed comparing the results for the electrical scalar potential obtained applying the approximate expressions and the accurate calculations. This is illustrated by a number of numerical experiments.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Theoretical Study of Equilateral Triangular Microstrip Antenna and Its Arrays
next chapter The Electromagnetic–Thermal Dosimetry Model of the Human Brain
Literature
1.
Cvetkovic, N.N.: Modelling of hemispherical ground inhomogeneities. In: Proceedings of 10th International Conference on Telecommunications in Modern Satellite. Cable and Broadcasting Services - TELSIKS 2011, pp. 436–439. Niš, Serbia (2011)
2.
Cvetkovic, N.N., Rancic P.D.: The point ground electrode in vicinity of the semi-spherical inhomogenity. In: CD Proceedings of 7th International Conference on Applied Electromagnetics - PES 2005, Niš, Serbia (2005). (Abstract. In: Proceedings of extended abstracts, pp. 139–140)
3.
Cvetkovic, N.N., Rancic P.D.: Influence of the semi-spherical semi-conducting ground inhomogenity on the grounding characteristics. In: Proceedings of VII International Symposium on Electromagnetic Compatibility - EMC BARCELONA ’06, pp. 918–923, Barcelona, Spain (2006). (Abstract. In: Book of abstracts, p. 29)
4.
Cvetkovic, N.N., Rancic, P.D.: The influence of semi-spherical inohomogenity on the linear grounding system characteristics. FACTA UNIVERSITATIS. Ser. Electr. Energy 20(2), 147–161 (2007)CrossRef
5.
Cvetkovic, N.N., Rancic P.D.: Conductive semi-sphere and linear ground electrode as pillar foundation grounding system. In: CD Proceedings of 8th International Conference on Applied Electromagnetics - PES 2007, Paper O3-6, Niš, Serbia (2007). (Abstract. In: Proceedings of extended abstracts, pp. 43–44)
6.
Cvetkovic, N.N., Rancic, P.D.: A simple model for a numerical determination of electrical characteristics of a pillar foundation grounding system. Eng. Anal. Bound. Elem. 33, 555–560 (2009)CrossRefMATH
7.
Cvetkovic, N.N., Rancic, P.D.: Influence of foundation on pillar grounding system’s characteristics. COMPEL: Int. J. Comput. Math. Electr. Electron. Eng. 28(2), 471–492 (2009)MATH
8.
Cvetkovic, N.N., Rancic P.D.: Conductive semi-sphere and two ring ground electrodes as pillar foundation grounding system. In: CD Proceedings of 9th International Conference on Applied Electromagnetics - PES 2009, Paper O3-2, Niš, Serbia (2009). (Abstract. In: Proceedings of extended abstracts, pp. 43–44)
9.
Cvetkovic, N.N., Rancic P.D.: Conductive semi-sphere and two ring ground electrodes as pillar foundation grounding system. Elektrotechnica and Elektronica E+E, The Union of Electronics, Electrical Engineering and Telecommunications. vol. 45, no. 1–2, pp. 8–11 (2010)
10.
Hannakam, L.: Allgemeine lösung des randwert problems für eine kugel durch integration des unggestörten erregenden feldes. Archiv für Elektrotechnik. 54, 187–199 (1971). (in German)CrossRef
11.
Hannakam, L., Sakaji, N.: Disturbance of the potential distribution in the d-c feeded earth due to an ore deposit. Archiv für Elektrotechnik. 68, 57–62 (1985). (in German)CrossRef
12.
Lavrov, G.A., Knyazev, A.S.: Prizemnie i Podzemnie Antenni: Teoriya i Praktika Antenn. Razmeshchennikh Vblizi Poverkhnosti Zemli, Izdatelstvo Sovetskoe Radio, Moskva, Russia (1965). (in Russian)
13.
Lindell, I.V.: Electrostatic image theory for the dielectric sphere. Radio Sci. 27(1), 1–8 (1992)CrossRef
14.
Lindell, I.V., Sten, J.C.-E.: Low-frequency image theory for the dielectric sphere. J. EM Waves Appl. 8(3), 295–313 (1994)CrossRef
15.
Rancic, P.D., Kitanovic, M.I.: A new model for analysis of vertical asymmetrical linear antenna above a lossy half-space. Int. J. Electron. Commun. AEÜ 51(3), 155–162 (1997)
16.
Rancic, M.P., Rancic, P.D.: Vertical linear antennas in the presence of a lossy half-space: an improved approximate model. Int. J. Electron. Commun. AEÜ 60(5), 376–386 (2006)CrossRef
17.
Reiß, K.: Deformation of the potential of a point charge by a spherical inhomogenity of material. Archiv für Elektrotechnik 74, 135–144 (1990). (in German)CrossRef
18.
Sten, J.C.-E., Lindell, I.V.: Electrostatic image theory for the dielectric sphere with an internal source. McW Opt. T.L. 5(11), 597–602 (1992)
19.
Stratton, J.A.: Electromagnetic Theory. Mc Grow-Hill Book Company, New York (1941)MATH
20.
Uhlmann, H., Velickovic, D.M., Brandisky, K., Stancheva, R.D., Brauer, H.: Fundamentals of Modern Electromagnetics for Engineering-Textbook for Graduate Students, Part I: Static and Stationary EM Field. TU Ilmenau, Ilmenau, Germany (2005)
21.
Velickovic, D.M.: Green’s function of spherical body. In: Proceedings of EUROEM ’94, THp-09-04, Bordeaux, France (1994)
Metadata
Title
Green Function of the Point Source Inside/Outside Spherical Domain - Approximate Solution
Authors
Nenad Cvetković
Miodrag Stojanović
Dejan Jovanović
Aleksa Ristić
Dragan Vučković
Dejan Krstić
Copyright Year
2016
Book
Engineering Mathematics I

Print ISBN: 978-3-319-42081-3

Electronic ISBN: 978-3-319-42082-0

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-42082-0_6

Premium Partner

    Image Credits