A general method for electric and magnetic coupled problem in 2D and magnetodynamic domain

The authors present a novel formulation which allows the inclusion of the circuit equations in the finite element analysis in two dimensions. Two types of magnetic conductors are considered: massive conductors which can develop eddy currents and `fine wire´ without eddy current. Kirchhoff´s voltage and current equations have been established for these conductors in accordance with magnetic equations. Furthermore, these conductors have been integrated into an external electric network. This formulation allows the solution of two-dimensional magnetic problems with all kinds of electric connections between conductors, which consist of impedances (R, L, and C) fed by sinusoidal sources. The modeling of an asynchronous machine with a squirrel cage (with simulation of end rings) is given to illustrate one application of the formulation