Coupling of a Nonlinear Diffusive Electromagnetic System to a Linear Electrical Circuit

A composite electromagnetic system including a non-hysteretic ferromagnetic conducting body and a linear resonant circuit fed by a sinusoidal voltage source is studied. The diffusion of the magnetic field in the iron core "inductor" is described by means of a finite dimensional nonlinear dynamic system obtained by applying the Galerkin method. These equations are coupled with the circuit ones. This physical system might exhibit different nonlinear phenomena: multiple periodic oscillations and even apparently completely disordered aperiodic "chaotic" motions. In this paper multiple harmonic and subharmonic oscillations are investigated by computer-aided analysis using a static method.