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Inverse technique for determining temperature dependence of material properties

David Pánek (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic)
Václav Kotlan (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic)
Roman Hamar (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic)
Ivo Doležel (Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic and Department of Electrical Power Engineering, Faculty of Electrical Engineering, Czech Technical University, Prague, Czech Republic)

Abstract

Purpose

This paper aims to present a methodology of finding temperature dependencies of selected physical parameters of metals. The method is based on the combination of measurement of the surface temperature of material during the process of heating and subsequent solution of the inverse problem using multi-parametric optimization.

Design/methodology/approach

The methodology is based on measurements and numerical solution of the forward and inverse problem, taking into account all involved nonlinearities (saturation curve of the processed steel material and temperature dependences of its physical parameters). The inverse problem is solved by a genetic algorithm.

Findings

The suggested methodology was successfully verified on several metal materials whose temperature-dependent parameters are known. The calculated and measured results exhibit a very good accordance (the differences do not exceed about 10 per cent for room and higher temperatures).

Research limitations/implications

At this moment, the methodology successfully works when the temperature dependence of just one material parameter is to be found (which means that the temperature dependencies of other parameters are known). The accuracy of results also depends on the correctness of other input data.

Practical implications

This paper provides a relatively easy possibility of finding the temperature dependencies of thermal conductivity or heat capacity of various alloys.

Originality/value

The paper proposes a methodology of finding the temperature dependence of a given material parameter that is not known in advance (which is of great importance in case of alloys).

Keywords

Acknowledgements

Financial support of the Grant project TACR TA03010354 is gratefully acknowledged. This research has also been supported by the Ministry of Education, Youth and Sports of the Czech Republic under the RICE – New Technologies and Concepts for Smart Industrial Systems, project No. LO1607.

Citation

Pánek, D., Kotlan, V., Hamar, R. and Doležel, I. (2017), "Inverse technique for determining temperature dependence of material properties", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 36 No. 2, pp. 427-435. https://doi.org/10.1108/COMPEL-05-2016-0227

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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