Model Reduction of Three-Dimensional Eddy Current Problems Based on the Method of Snapshots

The model reduction based on the method of snapshots is applied to the finite element analysis of three-dimensional transient eddy current problems. It is known that accuracy of the reduced model highly depends on the number of snapshots. In this paper, we introduce a novel method which determines t...

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Veröffentlicht in:	IEEE transactions on magnetics 2013-05, Vol.49 (5), p.1697-1700
Hauptverfasser:	Sato, Yuki, Igarashi, Hajime
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Computation Computational modeling Cross-disciplinary physics: materials science rheology Eddy current problem Eddy currents Equations Exact sciences and technology Finite element method Magnetism Materials science Mathematical analysis Mathematical model Mathematical models method of snapshots model order reduction Model reduction Numerical models Other topics in materials science Physics proper orthogonal decomposition Reduced order systems Three dimensional Three dimensional models Vectors
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Beschreibung
Zusammenfassung:	The model reduction based on the method of snapshots is applied to the finite element analysis of three-dimensional transient eddy current problems. It is known that accuracy of the reduced model highly depends on the number of snapshots. In this paper, we introduce a novel method which determines the adequate number of snapshots automatically. It is shown that the computational time can be reduced when using the model reduction based on the present method.
ISSN:	0018-9464 1941-0069
DOI:	10.1109/TMAG.2013.2241412