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

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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.

Original languageEnglish
Pages (from-to)B243-B270
Number of pages28
JournalSIAM Journal on Scientific Computing
Volume43
Issue number2
DOIs
Publication statusPublished - Mar 2021
MoE publication typeA1 Journal article-refereed

Keywords

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

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