S. Drobny et T. Weiland, Numerical calculation of nonlinear transient field problems with the Newton-Raphson method, IEEE MAGNET, 36(4), 2000, pp. 809-812
The modeling and numerical simulation of transient electromagnetic field pr
oblems with ferromagnetic materials is described in the context of the Fini
te Integration Technique (FIT), This paper presents a Newton-Raphson method
adapted to FIT which is faster than the Successive Approximation technique
. Due to the nonlinear material behavior these algorithms are not always st
able, In order to improve convergence, a dynamic relaxation process and a s
uitable interpolation of the magnetization curve are presented. Results of
these iterative schemes are compared with measurements of typical benchmark
problems.