Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2284637
