Exact and numerically stable closed-form expressions for potential coefficients of rectangular conductors

Author

Jain, Jitesh ; Koh, Cheng-Kok ; Balakrishnan, Venkataramanan

Author_Institution

Electr. & Comput. Eng. Dept., Purdue Univ., West Lafayette, IN

Volume

53

Issue

6

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

458

Lastpage

462

Abstract

Existing exact closed-form expressions for the scalar mutual and self-potential coefficients for rectangular conductors may be ill-conditioned for certain geometries. We propose new, exact, closed-form expressions for potential coefficients that are much better-conditioned. The basic idea is to express all potential coefficients as weighted sums of mutual and self-potential coefficients of suitably defined virtual plates. Experimental results are presented to demonstrate the improved numerical stability of the new formulas

Keywords

capacitance measurement; conductors (electric); capacitance extraction; closed-form expressions; numerical stability; potential coefficients; rectangular conductors; Boundary conditions; Capacitance; Closed-form solution; Conductors; Geometry; Inductance; Integral equations; Laplace equations; Numerical stability; Very large scale integration; Capacitance extraction; closed-form expressions; interconnect; potential coefficient;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.870548

Filename

1643461