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Volume 23, Issue 4
1 December 2004
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering Cover Image for Volume 23, Issue 4
Technical Paper| December 01 2004

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

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H. Vande Sande
Flanders' Mechatronics Technology Centre, Heverlee, Belgium
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F. Henrotte
Rheinisch‐Westfälische Technische Hochschule, Aachen (RWTH Aachen) Institut für Elektrische Maschinen (IEM), Aachen, Germany
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K. Hameyer
Rheinisch‐Westfälische Technische Hochschule, Aachen (RWTH Aachen) Institut für Elektrische Maschinen (IEM), Aachen, Germany
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Author & Article Information
Publisher: Emerald Publishing
Online ISSN: 2054-5606
Print ISSN: 0332-1649
© Emerald Group Publishing Limited
2004
COMPEL (2004) 23 (4): 950–958.
https://doi.org/10.1108/03321640410553373

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: Modelling, Magnetic fields, Newton‐Raphson method
© Emerald Group Publishing Limited
2004
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