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ERROR BOUNDS IN DUAL & COMPLEMENTARY EDDYCURRENT SYSTEMS

ERROR BOUNDS IN DUAL & COMPLEMENTARY EDDYCURRENT SYSTEMS The formulation of electromagnetic field problems using dual and complementary energy methods is now well established, and the advantages of the error bounds to system energy for static systems that it provides are widely realized. When considering eddycurrent problems the picture is less clear, even for the restricted case of time harmonic fields. Several interesting papers have been published that address the particular question of whether or not error bounds can exist for such dissipative systems, but as yet no consensus view has emerged. This contribution is an attempt to help clarify the position. It will be shown that through the use of complementary variational principles it is possible to establish pairs of functionals that do indeed rigourously provide error bounds. Ilustrative examples show that it is usually possible to provide error bounds to eddycurrent system parameters so long as due care is taken to predetermine whether or not a particular problem may be regarded as either current driven, or voltage driven, from the circuit point of view. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

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References (1)

Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0332-1649
DOI
10.1108/eb051748
Publisher site
See Article on Publisher Site

Abstract

The formulation of electromagnetic field problems using dual and complementary energy methods is now well established, and the advantages of the error bounds to system energy for static systems that it provides are widely realized. When considering eddycurrent problems the picture is less clear, even for the restricted case of time harmonic fields. Several interesting papers have been published that address the particular question of whether or not error bounds can exist for such dissipative systems, but as yet no consensus view has emerged. This contribution is an attempt to help clarify the position. It will be shown that through the use of complementary variational principles it is possible to establish pairs of functionals that do indeed rigourously provide error bounds. Ilustrative examples show that it is usually possible to provide error bounds to eddycurrent system parameters so long as due care is taken to predetermine whether or not a particular problem may be regarded as either current driven, or voltage driven, from the circuit point of view.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Jan 1, 1992

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