A finite-element method for transient skin effect in 2-D loaded multiconductor systems

Two approaches for analyzing steady-state skin effect phenomena in multiconductor systems are well established. In one method, the scalar potential gradient, the so-called source term of the partial differential equation, is treated as an extra unknown; in the other this term is replaced by the total current of the conductor. It is shown that in handling real-life transient problems the first approach is superior, since, in general, neither the potential gradient nor the total current of conductors are given explicitly, but only active electrical networks that terminate both ends of the multiconductor system. The geometry of that problem is assumed to be two-dimensional, neglecting effects due to the finite length of the conductors. For sake of brevity, material characteristics are treated as linear and isotropic, although nonlinearities are admissible