Numerical Green´s function of a point current source in horizontal multilayer soils by utilizing the vector matrix pencil technique

Author

Zou, J. ; Zeng, R. ; He, J.L. ; Guo, J. ; Gao, Y.Q. ; Chen, S.M.

Author_Institution

Dept. of Electr. Eng., Tsinghua Univ., Beijing, China

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

730

Lastpage

733

Abstract

Numerical Green´s function approach is proposed to calculate Green´s function of a point current source in an arbitrary horizontal multilayer soil. The coefficients of Green´s function are straightforwardly sampled in an iterative way in terms of the simultaneous equation system satisfying the pertinent boundary value problem, then the closed-form expression of Green´s function for multilayer soil can be given by the vector matrix pencil technology. The approach proposed could be practically applied in grounding problems in an arbitrarily layered soil without needing to derive the analytical expression of Green´s function.

Keywords

Green´s function methods; boundary-elements methods; earthing; finite element analysis; matrix algebra; multilayers; soil; arbitrarily layered soil; boundary value problem; grounding system; horizontal multilayer soils; numerical Green function; point current source; vector matrix pencil; Closed-form solution; Conductors; Green´s function methods; Grounding; Integral equations; Leakage current; Nonhomogeneous media; Soil; Substations; Surface resistance;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825014

Filename

1284518