English

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

Numerical Analysis 2020-10-27 v2 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2003.10395,
  title  = {Inverse heat source problem and experimental design for determining iron loss distribution},
  author = {Antti Hannukainen and Nuutti Hyvönen and Lauri Perkkiö},
  journal= {arXiv preprint arXiv:2003.10395},
  year   = {2020}
}

Comments

30 pages, 15 figures

R2 v1 2026-06-23T14:24:17.762Z