A Hybrid Formulation Using The Transition Matrix Method and Finite Elements in a 2D Eddy Current Interaction Problem

Paper in proceeding, 2012

A hybrid formulation of the eddy current interaction problem using the transition matrix method coupled to a finite element formulation of the defect is presented in a 2D geometry. The applied analytical method involves use of the free space Green’s function to generate a system of boundary integral relations. The defect is enclosed in a circular region in the conductive material and this region is resolved and formulated using linear finite elements. The approach allows a complex defect to be described with a finite element contribution to the transition matrix representing the defect in the analytical analysis of the problem. The result combines the fast analytical computation with the possibility to describe a complex shaped internal defect with finite elements. The total transition matrix with the finite element contribution is calculated once initially and afterwards used in the analytical approach for calculation of the impedance response at various positions.