Inverse heat source problem and experimental design for determining iron loss distribution

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2021-03

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Mcode

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Language

en

Pages

28

Series

SIAM Journal on Scientific Computing, Volume 43, issue 2, pp. B243-B270

Abstract

Iron loss determination in the magnetic core of an electrical machine, such as a motor or a transformer, is formulated as an inverse heat source problem. The sensor positions inside the object are optimized in order to minimize the uncertainty in the reconstruction in the sense of the A-optimality of Bayesian experimental design. This paper focuses on the problem formulation and an efficient numerical solution of the discretized sensor optimization and source reconstruction problems. A semirealistic linear model is discretized by finite elements and studied numerically.

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Keywords

Bayesian inversion, Electric machine, Inverse source problem, Iron loss, Optimal experimental design

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Citation

Hannukainen, A, Hyvonen, N & Perkkiö, L 2021, ' Inverse heat source problem and experimental design for determining iron loss distribution ', SIAM Journal on Scientific Computing, vol. 43, no. 2, pp. B243-B270 . https://doi.org/10.1137/20M1329986