Title :
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
fDate :
5/1/2002 12:00:00 AM
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;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.2002.1003407
