Approximation of Moments for the Nonlinear Magnetoquasistatic Problem With Material Uncertainties

Author

Romer, Udo ; Schops, Sebastian ; Weiland, Thomas

Author_Institution

Inst. fuer Theor. Elektromagn. Felder, Tech. Univ. Darmstadt, Darmstadt, Germany

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

417

Lastpage

420

Abstract

In this paper, we study the magnetoquasistatic problem with uncertainties in the nonlinear magnetic material characteristic. In the case of small input uncertainties, adjoint techniques can be used to efficiently approximate the statistics of the quantities of interest. We carry out the corresponding sensitivity analysis and investigate the method´s approximation properties. Numerical results discussing the approximation error are given for an electrical transformer.

Keywords

approximation theory; magnetostatics; transformers; adjoint techniques; approximation error; approximation properties; electrical transformer; material uncertainties; moment approximation; nonlinear magnetic material characteristic; nonlinear magnetoquasistatic problem; sensitivity analysis; small input uncertainties; Approximation methods; Magnetic domains; Magnetostatics; Materials; Monte Carlo methods; Sensitivity analysis; Uncertainty; Magnetoquasistatics (MQS); moments; nonlinear material relation; sensitivity analysis; uncertainty;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2284637

Filename

6749010