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

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.