Three dimensional electromagnetic field due to electric discharge by an analytical approach

Author

Azzerboni, B. ; Cardelli, E. ; Esposito, N. ; Raugi, M. ; Tellini, A.

Author_Institution

Dipartimento di Elettrotecnica ed Elettronica, Catania Univ., Italy

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3052

Lastpage

3055

Abstract

The analytical expression of the time behaviour of the current density due to an electric discharge on a three dimensional conducting slab has been obtained by means of an analytical method. The electric discharge is modeled by a current pulse injected in the slab. The current injection point can be arbitrarily positioned on the surface of the slab. The diffusion equation was solved in the s domain using the technique of the separation of variables. The time behaviour of the current density was determined applying the inverse Laplace transform to the solution. The analytical results were compared with results obtained with two numerical methods, the first based on an equivalent network formulation and the second based on a Finite Difference Time Domain method. The electromagnetic field in space has been simply determined from the knowledge of the current density distribution

Keywords

Laplace transforms; current density; electromagnetic fields; equivalent circuits; finite difference time-domain analysis; surface discharges; conducting slab; current density; current injection point; diffusion equation; electric discharge; equivalent network formulation; finite difference time domain method; inverse Laplace transform; s domain; separation of variables; three dimensional electromagnetic field; time behaviour; Boundary conditions; Current density; Electromagnetic analysis; Electromagnetic fields; Finite difference methods; Geometry; Laplace equations; Slabs; Surface discharges; Transient analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312581

Filename

312581