Solving 3-D Eddy Currents in Thin Shells of Any Shape and Topology

A novel 3-D integral formulation for solving eddy currents in thin conductors of any shape and topology is presented. The field problem is formulated with the cell method in terms of mesh currents in order to minimize the number of unknowns and, thus, computing requirements. We prove that additional degrees of freedom, globally defined, are required with complex topologies.