Computation of three-dimensional unbounded eddy current problems using asymptotic boundary conditions

This paper presents a finite element formulation for the solution of three-dimensional unbounded eddy current problems using vector asymptotic boundary conditions. The vector asymptotic boundary conditions are derived in Cartesian coordinates with external field excitations. The use of vector asymptotic boundary conditions in Cartesian coordinates make it possible to simplify the modeling process and make it economically feasible to solve problems with large aspect ratios. In this formulation, the potentials A, φ are used in the conducting region while the vector potential A alone is employed in free space. The calculated results using this formulation agree with the results obtained by other approaches