The Newton‐Raphson method for solving non‐linear and anisotropic time‐harmonic problems

Abstract

This paper discusses the use of a complex‐valued reluctivity tensor for modelling non‐linear, anisotropic and hysteretic materials in a time‐harmonic finite element context. It is shown how these problems can be solved by the Newton‐Raphson method. The method is applied for the simulation of the magnetic field distribution in a three‐phase transformer.

Citation

Vande Sande, H., Henrotte, F. and Hameyer, K. (2004), "The Newton‐Raphson method for solving non‐linear and anisotropic time‐harmonic problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 23 No. 4, pp. 950-958. https://doi.org/10.1108/03321640410553373