Analytical integration of quasi-static potential integrals on nonorthogonal coplanar quadrilaterals for the PEEC method

Author

Antonini, G. ; Orlandi, A. ; Ruehli, A.E.

Author_Institution

Dept. of Electr. Eng., L´´Aquila Univ., Italy

Volume

44

Issue

2

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

399

Lastpage

403

Abstract

The rapid and accurate evaluation of the partial inductances and the normalized coefficients of potential is very important for the partial element equivalent circuit method. The evaluation of these parameters is much more challenging for the case of nonorthogonal conductors. This paper proposes an integration strategy on nonorthogonal coplanar quadrilateral domains for the quasi-static Green´s function and a closed form solution for the integrals is obtained. The developed formulas, suitable for a practical implementation of the method, are compared to accurate numerical quadrature routines

Keywords

Green´s function methods; conductors (electric); electric field integral equations; electric potential; electromagnetic induction; equivalent circuits; integration; EM problems; ME; PEEC method; accurate numerical quadrature routines; analytical integration; closed form solution; double surface integral; electric-field integral equations; electromagnetic problems; nonorthogonal conductors; nonorthogonal coplanar quadrilaterals; normalized coefficients; partial element equivalent circuit method; partial inductances; quasi-static Green´s function; quasi-static potential integrals; Boundary conditions; Circuit simulation; Closed-form solution; Conductors; Electromagnetic analysis; Equivalent circuits; Integral equations; Minimization; Performance evaluation; Transmission line matrix methods;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/TEMC.2002.1003407

Filename

1003407