New nonlinear algorithms for finite element analysis of 2D and 3D magnetic fields

New nonlinear algorithms are presented that use the given material B‐H curve directly, rather than converting it to a reluctivity ν=(H/B) vs B2 curve as is common. In addition to full Newton–Raphson iteration, also discussed are modified Newton–Raphson iteration, quasi‐Newton iteration, and line search algorithms. Full Newton–Raphson iteration with the new direct B‐H algorithm is shown in most typical small 3D and 2D magnetostatic problems to achieve convergence in a much smaller number of iterations than the ν vs B2 algorithm.