Three dimensional finite elements modeling of superconductors

In this paper we present a variational formulation for the solution of eddy current problems in presence of superconductors. A suitable formulation of the macroscopic constitutive law is used so that an unconstrained minimization has to be performed. The electromagnetic problem is solved using an integral formulation, thus allowing us to discretize only the conducting regions. The method, although tested against a 1D analytical solution, is implemented for fully 3D geometries.