Abstract

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.

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