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

H. Vande Sande (Flanders' Mechatronics Technology Centre, Heverlee, Belgium)
F. Henrotte (Rheinisch‐Westfälische Technische Hochschule, Aachen (RWTH Aachen) Institut für Elektrische Maschinen (IEM), Aachen, Germany)
K. Hameyer (Rheinisch‐Westfälische Technische Hochschule, Aachen (RWTH Aachen) Institut für Elektrische Maschinen (IEM), Aachen, Germany)

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.

Keywords

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

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited

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