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

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

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;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2347416

Filename

7093455