Quasi-static integral formulation using duality and network equations

This work definies an algorithm for the analysis of eddy current effects in conductive structures by the use of integral equations and dual discretization of the problem domain. The proposed formulation is applied to the study of thin conductive sheets which are commonly used in the shielding of low frequency electric and magnetic fields. In these problems the thickness of the shield is usually negligible with respect to the other dimensions and thus particular field formulations that treat the sheet as a two dimensional surface have been developed. This work follows the finite formulation of electromagnetic field outline proposed by Tonti (see proceedings of IV international workshop on the electric and magnetic fields: from numerical models to industrial applications, Marseille, p.284-294, 1998). The discretization. of the field equation is performed on a staggered orthogonal grid using an integral formulation which allows one to take into account only the active region of the problem, neglecting the surrounding air. The minimal set of equations is obtained by implementing a network solution scheme: after the definition of a tree along mesh edges a tableau scheme is employed.