Generating a Cauer Ladder Network Representation of Eddy Current Fields Using Scalar Potentials

Formulations in terms of scalar potentials are proposed to solve the static field problems occurring when computing the parameters of a Cauer ladder network representation of two-pole devices involving eddy-current effects. The curl equations are satisfied by efficiently generating vector potentials describing the known flux density and current density and introducing unknown scalar potentials to represent the electric and magnetic field intensities. The scalar potentials are approximated using nodal basis functions in the finite-element realization, thus leading to Poisson equations to be easily solved. A simple numerical example illustrates the method.