Title: Estimation of the heat flux density during the induction heating process based on the parametric optimisation

Authors: Anna Diligenskaya

Addresses: Department of Automatic and Control in Technical Systems, Samara State Technical University, Molodogvardeyskaya St. 244, 443100 Samara, Russia

Abstract: The main goal of the paper is solving the problem of estimating the heat flux generated during induction heating process in the typical case of a complex heat transfer process under poorly defined boundary conditions. The problem is formulated in the extremal statement as an inverse heat conduction problem (IHCP) of optimal control. The induction heating process is considered as a distributed parameters system under control, the heat flux density is used as a control action. The experimentally measured temperature data are used as the input for the inverse heat transfer model. The set of control actions is limited to the class of continuous and continuously differentiable functions. On the basis of parameterisation of control actions, the problem is reduced to a problem of mathematical programming. The special optimisation method based on the alternance properties of the sought optimum solutions is applied to estimate the induction heat flux.

Keywords: induction heating; heat flux estimation; inverse heat conduction problem; IHCP; parameterisation; mathematical programming problem; alternance method; heat flux density; parametric optimisation; heat transfer; temperature.

DOI: 10.1504/IJMMP.2016.078035

International Journal of Microstructure and Materials Properties, 2016 Vol.11 No.1/2, pp.5 - 17

Received: 04 Mar 2015
Accepted: 21 Aug 2015

Published online: 26 Jul 2016 *

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