A strong coupled model for analysing dynamic behaviours of non-linear electromechanical systems

A strong coupled model solving simultaneously electric circuit, magnetic field and mechanical motion equations is presented. The magnetic field is solved by a formulation in terms of magnetic vector potential. The working variable in the mechanical equation can be either the displacement or the velocity. The magnetic force is calculated by the virtual work method associated with the edge element. The non-linear system is solved by the Newton-Raphson method. The final matrix equation is symmetrized. A numerical example shows that, compared with a conventional sequential coupling model, the convergence of the present method is less dependent on time step values