A sinusoidal magnetic field computation in nonlinear materials

This paper presents a new approach to solve nonlinear problems using the complex formalism in the finite element method. The main idea is to use a modified Newton Raphson procedure taking into account both the derivative and the conjugate derivative of the unknowns in the Jacobian matrix. To validate this method, the nonlinear complex analysis is compared to a classical time stepping analysis for the computation of the magnetic field outsides shielded three-phase cable.