Analysis of Power Magnetic Components With Nonlinear Static Hysteresis: Proper Orthogonal Decomposition and Model Reduction
Zhai, Y.; Vu-Quoc, L.
Magnetics, IEEE Transactions on
Volume 43, Issue 5, May 2007 Page(s):1888 - 1897
Digital Object Identifier   10.1109/TMAG.2007.892691
Summary:We applied the proper orthogonal decomposition (POD) method to extract reduced-order models to efficiently solve nonlinear electromagnetic problems governed by Maxwell's equations with nonlinear hysteresis at low frequency (10 kHz), called static hysteresis, discretized by a finite-element method. We used a new domain-wall-motion hysteresis model for Power MAgnetic Components (POMACs) in the finite-element potential formulation via an efficient implicit-inverse model calculation. We propose a rational method for the selection of snapshots employed in the POD, used in conjunction with a fixed-point method for the solution of nonlinear POMAC problems. The reduced simulation time and great flexibility of the reduced-order models, as applied to nonlinear POMAC systems, suggest that the procedure can be applied to other electromagnetic problems with nonlinear hysteresis

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