Title :
Model-Order Reduction of Multiple-Input Non-Linear Systems Based on POD and DEI Methods
Author :
Henneron, Thomas ; Clenet, Stephane
Author_Institution :
Lille Lab. of Electr. Eng. & Power Electron., Univ. Lille 1, Lille, France
Abstract :
The proper orthogonal decomposition combined with the discrete empirical interpolation method is investigated in order to reduce a finite-element model of a multiple-input non-linear device. The non-linear reduced problem is solved using the Newton-Raphson method. The transient state of a three-phase transformer with a variable load is studied with the proposed reduction method for different supply voltage conditions.
Keywords :
Newton-Raphson method; decomposition; finite element analysis; interpolation; power transformers; DEI method; Newton-Raphson method; POD method; discrete empirical interpolation method; finite-element model; model-order reduction; multiple-input nonlinear device system; nonlinear reduced problem; proper orthogonal decomposition; three-phase transformer; Computational modeling; Integrated circuit modeling; Jacobian matrices; Load modeling; Magnetostatics; Mathematical model; Matrix decomposition; Discrete empirical interpolation method (DEIM); model-order reduction; non-linear problem; proper orthogonal decomposition (POD); static fields;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2014.2347416
