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

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

J. Jain, C.-K. Koh and V. Balakrishnan

IEEE Trans. Circuits and Systems II, Vol. 53, No. 6, pp. 458-462, June 2006.

(Corrections to typos published in Vol. 54, No. 11, pp. 1024, November 2007.)

Abstract: Existing exact closed-form expressions for the scalar mutual and self-potential coefficients for rectangular conductors may be illconditioned for certain geometries. We propose new, exact, closed-form expressions for potential coefficients that are much betterconditioned. 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.
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