A Hybrid Formulation for Nonlinear Magnetostatic Analysis

In this paper a hybrid method for three-dimensional non-linear magnetostatic analysis is presented. The equivalence theorem in terms of equivalence surface currents and tangential magnetic field is used to obtain interior and exterior problems coupled by the interface conditions. The Finite Elements Method is used to solve for the interior problem in terms of magnetic vector potential while the Method of Moments is used to enforce the interface conditions. A Newton-like algorithm is used to solve for the resulting non-linear set of equations. The knowledge of vector potential allows the calculation of the flux density distribution inside the fictitious surfaces while the knowledge of the equivalent surface current distribution allows us to calculate the flux density distribution outside these surfaces via the Biot-Savart law. Applications are presented to investigate the efficiency and the reliability of the proposed method.