The Modelling of Thin Ohmic and Superconducting Conductors by means of Integral Equations

R. Brambilla
CESI RICERCA, Milano, Italy

The problem of evaluating of the current density distribution, J, and the magnetic field, H, inside thin strips (conductive or superconductive) induced by an external magnetic field or resulting from transport currents is of great importance in many applications.

Two significant examples we refer to are self and mutual inductance coefficients between paths of a circuit board and to the AC losses computations in devices using windings of HT superconductive strips.

In these kind of problems the standard approach is the solution of Maxwell equations by means of the finite element method (FEM) combined with vector (edge) elements results.

We shall consider here the simple occurrence of problems with cylindrical symmetry where the conductors are represented by their cross sections.