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 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.

[1]  Robert A. Handler,et al.  Karhunen–Loeve representations of turbulent channel flows using the method of snapshots , 2006 .

[2]  O. Ernst,et al.  Fast 3-D simulation of transient electromagnetic fields by model reduction in the frequency domain using Krylov subspace projection , 2008 .

[4]  Caro Lucas,et al.  Multiobjective optimization method based on a genetic algorithm for switched reluctance motor design , 2002 .

[5]  Kota Watanabe,et al.  Optimization of Inductors Using Evolutionary Algorithms and Its Experimental Validation , 2010, IEEE Transactions on Magnetics.

[6]  J. Marsden,et al.  Dimensional model reduction in non‐linear finite element dynamics of solids and structures , 2001 .

[7]  G. Akoun,et al.  Fast Analysis of a Broad-Band Microwave Rectenna Using 3-D FEM and Padé Approximation , 2007, IEEE Transactions on Magnetics.

[8]  H Igarashi,et al.  Optimization of Meander Line Antenna Considering Coupling Between Nonlinear Circuit and Electromagnetic Waves for UHF-Band RFID , 2010, IEEE Transactions on Magnetics.

[10]  M. Clemens,et al.  Low-Order Electroquasistatic Field Simulations Based on Proper Orthogonal Decomposition , 2012, IEEE Transactions on Magnetics.

[11]  B. Deken,et al.  Reduction of model dimension in nonlinear finite element approximations of electromagnetic systems , 2004, 2004 IEEE Workshop on Computers in Power Electronics, 2004. Proceedings..

[12]  G. Kerschen,et al.  The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview , 2005 .