DocumentCode
815589
Title
Simplification of symmetric boundary element model including asymmetric parts
Author
Tsuboi, H. ; Tanaka, M. ; Misaki, T. ; Naito, T. ; Morita, T.
Author_Institution
Dept. of Inf. Eng., Fukuyama Univ., Japan
Volume
28
Issue
2
fYear
1992
fDate
3/1/1992 12:00:00 AM
Firstpage
1724
Lastpage
1727
Abstract
The simplification method for the boundary element model with rotational symmetry is expanded and applied to the boundary element model including asymmetrical parts. The expanded simplification method is performed by a variable transformation which is similar to the variable transformation for the rotational symmetry model. The coefficient matrix of the final simultaneous equations is transformed into a bordered block diagonal matrix. The reduction ratios of the calculation time are shown using the number of symmetrical subregions, the numer of unknowns in the fundamental part, and the number of unknowns in the asymmetrical part. The proposed simplification method is effective for large-scale problems using a large number of unknowns. The applicability of the proposed method was verified by a numerical example: a three-core cable model including a symmetric part for 2-D eddy current analysis using the z -component of the vector potential
Keywords
boundary-elements methods; eddy currents; matrix algebra; 2D eddy current analysis; asymmetric parts; bordered block diagonal matrix; calculation time; coefficient matrix; large-scale problems; rotational symmetry; symmetric boundary element model; three-core cable model; variable transformation; vector potential; Boundary element methods; Computational modeling; Content addressable storage; Data analysis; Electromagnetic analysis; Electromagnetic fields; Equations; Gaussian processes; Performance analysis; Symmetric matrices;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.124036
Filename
124036
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