Estudo da convergência no método de elementos finitos aplicado a dispositivos eletromagnéticos não lineares. / Survey on the convergence of non-linear finite element method applied to electromagnetic devices in two-dimension.

AUTOR(ES)

Bruno Amado Rodrigues Filho

DATA DE PUBLICAÇÃO

2007

RESUMO

This work presents a study on the convergence of non-linear finite analysis applied to the modeling of electromagnetic devices with plane symmetry. Three aspects have been thoroughly investigated which have influence on the convergence performance, namely: the relaxation factor in the Newton-Raphson algorithm, the model of the magnetization curve and the choice of the linear solver. It is shown that convergence acceleration of the Newton-Raphson algorithm can be achieved with the use of a relaxation factor, along with numerical techniques for optimizing this factor, such as Line Search or the Brent method. Several models for the magnetization curve, both analytical (OConnor, Marrocco, Brauer) and interpolation-based (Akima and Cubic Splines), have been analised and comparisons in terms of their computational efficiency, as well as accuracy, are presented in order to give some guidance to the choice of the model. The influence of several linear solvers in the convergence of the Newton-Raphson algorithm has finally been investigated. The following linear solvers have been compared: LU decomposition , ICCG, BiCGStab and Wavelet-based Multigrid. The results show the superiority of the latter to improve the overall computational performance of the solution.

ASSUNTO(S)

eletromagnetism finite element method cálculo numérico non-linear system magnetization curve interpolação (análise numérica) eletromagnetismo método dos elementos finitos

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