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Comparison of simplified techniques for solving selected coupled electroheat problems

David Pánek (Department of Theory of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic)
Pavel Karban (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Plzeň, Czech Republic)
Tamás Orosz (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Plzeň, Czech Republic)
Ivo Doležel (Department of Theory of Electrical Engineering, Zapadoceska Univerzita, Plzen, Czech Republic)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 17 January 2020

Issue publication date: 11 March 2020

Abstract

Purpose

The purpose of this paper is to compare different reduced-order models for models of control of induction brazing process. In the presented application, the problem is to reconstruct temperature at the points of interests (hot spots) from information measured at accessible places.

Design/methodology/approach

The paper describes the process of induction brazing. It presents the full field model and evaluates the possibilities for obtaining reduced models for temperature estimation. The primary attention is paid to the model based on proper orthogonal decomposition (POD).

Findings

The paper shows that for the given application, it is possible to find low-order estimator. In the examined linear case, the best estimator was created using POD reduced model together with the linear Kalman filter.

Research limitations/implications

The authors are aware of two main limitations of the presented study: material properties are considered linear, which is not a completely realistic assumption. However, if strong coupling and nonlinear material parameters are considered, the model becomes unsolvable. The process and measurement uncertainties are not considered.

Originality/value

The paper deals with POD of multi-physics 3 D application of induction brazing. The paper compares 11 different methods for temperature estimator design.

Keywords

Citation

Pánek, D., Karban, P., Orosz, T. and Doležel, I. (2020), "Comparison of simplified techniques for solving selected coupled electroheat problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 39 No. 1, pp. 220-230. https://doi.org/10.1108/COMPEL-06-2019-0244

Publisher

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Emerald Publishing Limited

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