Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 53, Issue 25-26, Pages 5933-5946Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2010.07.029
Keywords
Reheating furnace; Steel slab reheating; Transient heat conduction; Galerkin method; Radiative heat exchange; Open-loop control
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Funding
- AG der Dillinger Huttenwerke
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A mathematical model of the reheating process of steel slabs in industrial fuel-fired furnaces is developed. The transient temperature field inside the slabs is computed by means of the Galerkin method. Radiative heat transfer inside the furnace constitutes boundary conditions that couple the dynamic subsystems of the slabs. Constraining the heat fluxes to piecewise linear, discontinuous signals furnishes a discrete-time state-space system. Conditions for an exponential decrease of the open-loop control error are derived. Measurements from an instrumented slab in the real system demonstrate the accuracy of the model. The simple and computationally inexpensive model is suitable for trajectory planning, optimization, and controller design. (C) 2010 Elsevier Ltd. All rights reserved.
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