Research on Unsteady Inverse Heat Conduction Based on Dynamic Matrix Control

Weichao Huang (), Jiahao Li and Ding Liu
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Weichao Huang: Shannxi Key Laboratory of Complex System Control and Intelligent Information Processing, Xi’an University of Technology, Xi’an 710048, China
Jiahao Li: School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
Ding Liu: School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China

Energies, 2023, vol. 16, issue 11, 1-17

Abstract: For the unsteady multi-boundary inverse heat conduction problem, a real-time solution method for boundary heat flux based on dynamic matrix control is proposed in the paper. The method solves the heat flux at the boundary in real-time by measuring the temperature information at the measurement points of the heat transfer system. A two-dimensional direct heat conduction model of the heat transfer system is established in the paper, and is solved by the finite difference method to obtain the temperature information of the measurement points under any heat flux boundary. Then, the correspondence between the heat flux of boundary and the temperature information is presented by means of a step-response model. The regularization parameters are introduced into the method to improve the stability of the inversion process, and the effect of real-time inversion on the heat flux of the boundary is achieved through rolling optimization. The experimental results show that the proposed method can achieve real-time inversion of the heat fluxes of the two-dimensional boundary with good accuracy.

Keywords: inverse heat conduction problems; finite difference method; dynamic matrix control (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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