Eur. Phys. J. Appl. Phys.
Volume 25, Number 2, February 2004
|Page(s)||107 - 112|
|Section||Physics of Energy Generation, Conversion and Storage|
|Published online||19 January 2004|
Magnetic force and torque calculations from complementary or self-dual approaches. A coenergy-based methodology toward full accuracy control
Laboratoire d'Électrotechnique et d'Instrumentation – UCL, 3 place du
Levant, 1348 Louvain-la-Neuve, Belgium
Corresponding author: Matagne@lei.ucl.ac.be
Revised: 22 October 2003
Accepted: 30 October 2003
Published online: 19 January 2004
This paper deals with duality based approaches of field computations. It presents two methods that allow to obtain upper bounds for the error on the forces or torques. The first one is based on a double evaluation of the global coenergy for two values of the position. The second one resembles the popular Maxwell's tensor method and requires the field computation only once, but respecting an additional rule. For both methods, the force or torque are considered in respect of their average value on an interval of displacement, taken as configuration parameter.
PACS: 02.70.Dh – Finite-element and Galerkin methods / 07.05.Tp – Computer modeling and simulation / 41.20.Gz – Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems
© EDP Sciences, 2004
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