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Inducted currents analysis in multiply connected conductors using reluctance-resistance networks

Inducted currents analysis in multiply connected conductors using reluctance-resistance networks
Inducted currents analysis in multiply connected conductors using reluctance-resistance networks
Purpose – The purpose of this paper is to develop a reluctance-resistance network (RRN) formulation for determining the induced current distributions in a 3D space of multiply connected conducting systems. Design/methodology/approach – The proposed RRN method has been applied to solve Problem No. 7 of the International TEAM Workshops. The induced currents in the conductive plate with an asymmetrically situated “hole” have been analysed. The RRN equations have been formed by means of the finite element method using the magnetic vector potential A and the electric vector potentials T and T0. The block relaxation method combined with the Cholesky decomposition procedure has been applied to solve the resultant RRN equations. Findings – Comparison with results published in literature has demonstrated high accuracy of the proposed RRN computational scheme while offering significant savings in computing times. Originality/value – A novel formulation of the RRN approach has been proposed and demonstrated to be computationally efficient.
Numerical analysis, Eddy currents, Electromagnetic field(s), Edge element method
0332-1649
908-918
Wojciechowski, R.M.
99b54467-f656-43b0-b0f6-cde55bea10d4
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Wojciechowski, R.M.
99b54467-f656-43b0-b0f6-cde55bea10d4
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb

Wojciechowski, R.M., Demenko, A. and Sykulski, J.K. (2010) Inducted currents analysis in multiply connected conductors using reluctance-resistance networks. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 29 (4), 908-918.

Record type: Article

Abstract

Purpose – The purpose of this paper is to develop a reluctance-resistance network (RRN) formulation for determining the induced current distributions in a 3D space of multiply connected conducting systems. Design/methodology/approach – The proposed RRN method has been applied to solve Problem No. 7 of the International TEAM Workshops. The induced currents in the conductive plate with an asymmetrically situated “hole” have been analysed. The RRN equations have been formed by means of the finite element method using the magnetic vector potential A and the electric vector potentials T and T0. The block relaxation method combined with the Cholesky decomposition procedure has been applied to solve the resultant RRN equations. Findings – Comparison with results published in literature has demonstrated high accuracy of the proposed RRN computational scheme while offering significant savings in computing times. Originality/value – A novel formulation of the RRN approach has been proposed and demonstrated to be computationally efficient.

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More information

Published date: July 2010
Additional Information: DOI 10.1108/03321641011044325
Keywords: Numerical analysis, Eddy currents, Electromagnetic field(s), Edge element method
Organisations: EEE

Identifiers

Local EPrints ID: 271461
URI: http://eprints.soton.ac.uk/id/eprint/271461
ISSN: 0332-1649
PURE UUID: bb8cf84d-c16d-44d5-a7bf-890e424f0d3c
ORCID for J.K. Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

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Date deposited: 05 Aug 2010 15:32
Last modified: 07 Oct 2020 02:28

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