Speed-up of nonlinear magnetic field analysis using a modified fixed-point method

Abstract

Purpose

The purpose of this paper is to propose the speed-up of the fixed-point method by updating the reluctivity at each iteration (this is called a modified fixed-point method).

Design/methodology/approach

A modified fixed-point method, which updates the derivative of reluctivity at each iteration, is proposed. It is shown that the formulation of the fixed-point method using the derivative of reluctivity is almost the same as that of the Newton-Raphson method. The convergence characteristic of the newly proposed fixed-point method is compared with those of the Newton-Raphson method.

Findings

The modified fixed-point method has an advantage that the programming is easy and it has a similar convergence property to the Newton-Raphson method for an isotropic nonlinear problem.

Originality/value

This paper presents the formulation and convergence characteristic of the modified fixed-point method are almost the same as those of the Newton-Raphson method.

Citation

Takahashi, N., Shimomura, K., Miyagi, D. and Kaimori, H. (2013), "Speed-up of nonlinear magnetic field analysis using a modified fixed-point method", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 5, pp. 1749-1759. https://doi.org/10.1108/COMPEL-04-2013-0126