DocumentCode
762875
Title
A stability paradox for time-stepping schemes in coupled field-circuit problems
Author
Tsukerman, Igor
Author_Institution
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
Volume
31
Issue
3
fYear
1995
fDate
5/1/1995 12:00:00 AM
Firstpage
1857
Lastpage
1860
Abstract
The finite element model for the time dependent eddy current problem is coupled with mesh (loop) equations for arbitrary external circuits. Stability of the resultant system and the time-stepping scheme is analyzed. The backward difference scheme is shown to be stable, while the Crank-Nicholson method exhibits peculiar instability. Theoretical analysis is supported by numerical results for test and practical problems
Keywords
eddy currents; eigenvalues and eigenfunctions; finite element analysis; numerical stability; Crank-Nicholson method; backward difference scheme; coupled field-circuit problems; finite element model; loop equations; mesh equations; stability; time dependent eddy current problem; time-stepping schemes; Circuit stability; Conductors; Coupling circuits; Current density; Eddy currents; Finite element methods; Maxwell equations; Solids; Stability analysis; Wire;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.376399
Filename
376399
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