In this paper, we develop an energy-focused model of an industrial roller hearth heat treating furnace. The model represents radiation heat transfer with nonparticipating gas and convective heat transfer. The model computes the exit temperature profile of the treated steel parts and the energy consumption and efficiency of the furnace. We propose a dual iterative numerical scheme to solve the conservation equations and validate its efficacy by simulating the dynamics of the furnace during startup, as well as for steady-state operation. A case study investigates energy consumption within the furnace under temperature control. We first consider a heuristic control strategy using simple linear controllers. A response surface approach is then used to find the optimal set points that minimize energy consumption while ensuring desired part temperature properties are met when processing is complete. With optimized set points, 4.8% less energy per part is required versus the heuristic set points.
Issue Section:
Research Papers
References
1.
United States Energy Information Administration
, 2014
, “Monthly Energy Review
,” EIA, Washington, DC, accessed Dec. 15, 2014
, http://www.eia.gov/totalenergy/data/monthly/2.
Stones
, E.
, Ferland
, K.
, and Noack
, M.
, 2007
, “Industrial Efficiency
,” NPC Global Oil and Gas Study, accessed Dec. 25, 2016, http://www.npc.org/study_topic_papers/5-dtg-industrial-efficiency.pdf3.
Viswanathan
, V.
, Davies
, R.
, and Holbery
, J.
, 2005
, “Opportunity Analysis for Recovering Energy From Industrial Waste Heat and Emissions
,” Pacific Northwest National Laboratory, Richland, WA.4.
Pellegrino
, J.
, Margolis
, N.
, Justiniano
, M.
, Miller
, M.
, and Thekdi
, A.
, 2004
, “Energy Use, Loss and Opportunities Analysis
,” Energetics, Incorporated and E3M, Incorporated, Columbia, MD, accessed Dec. 25, 2016, https://www1.eere.energy.gov/manufacturing/intensiveprocesses/pdfs/energy_use_loss_opportunities_analysis.pdf5.
Thekdi
, A.
, 2010
, “Energy Efficiency Improvement Opportunities in Process Heating for the Forging Industry
,” E3M, Canton, NY.6.
Holcroft
, A.
, 2014
, “Conveyor Furnaces: Continuous Conveyor Thermal Treatment System
,” AFC-HOLCROFT, Wixom, MI, accessed Apr. 9, 2015
, http://www.afc-holcroft.com/userfiles/file/pdf/ConveyorFurnace_Brochure.pdf7.
Ramamurthy
, H.
, Ramadhyani
, S.
, and Viskanta
, R.
, 1995
, “A Thermal System Model for a Radiant-Tube Continuous Reheating Furnace
,” J. Mater. Eng. Perform.
, 4
(5
), pp. 519
–531
.8.
Liao
, Y.
, Wu
, M.
, and She
, J.
, 2006
, “Modeling of Reheating-Furnace Dynamics Using Neural Network Based on Improved Sequential-Learning Algorithm
,” IEEE Computer Aided Control System Design, IEEE International Conference on Control Applications, IEEE International Symposium on Intelligent Control (CACSD-CCA-ISIC
), Munich, Germany, Oct. 4–6, pp. 3175
–3181
.9.
Xuegang
, S.
, Chao
, Y.
, and Yihui
, C.
, 2009
, “Dynamic Modeling of Reheat-Furnace Using Neural Network Based on PSO Algorithm
,” 2009 International Conference on Mechatronics and Automation (ICMA 2009
), Changchun, China, Aug. 9–12, pp. 3097
–3101
.10.
Kim
, Y.
, Moon
, K.
, Kang
, B.
, Han
, C.
, and Chang
, K.
, 1998
, “Application of Neural Network to the Supervisory Control of a Reheating Furnace in the Steel Industry
,” Control Eng. Pract.
, 6
(8
), pp. 1009
–1014
.11.
Laurinen
, P.
, and Röning
, J.
, 2005
, “An Adaptive Neural Network Model for Predicting the Post Roughing Mill Temperature of Steel Slabs in the Reheating Furnace
,” J. Mater. Process. Technol.
, 168
(3
), pp. 423
–430
.12.
Pan
, J.
, Li
, Y.
, and Li
, D.
, 2002
, “The Application of Computer Simulation in the Heat-Treatment Process of a Large-Scale Bearing Roller
,” J. Mater. Process. Technol.
, 122
(2
), pp. 241
–248
.13.
Tang
, Y.
, Laine
, J.
, Fabritus
, T.
, and Harkki
, J.
, 2010
, “Different Methods Obtained by PHOENICS Simulation to Improve the Performance of Pusher-Type Steel Slab Reheating Furnace
,” Oulu University, Oulu, Finland.14.
Triebl
, D.
, Spijker
, C.
, Raupenstrauch
, H.
, Jarosik
, A.
, and Angeli
, G.
, 2014
, “CFD-Simulation Eines Direkt Befeuerten Ofens zur Vorbehandlung Feuerverzinkter Stahlbänder
,” BHM Berg Hüttenmännische Monatsh.
, 159
(7
), pp. 310
–311
.15.
Balbis
, L.
, Balderud
, J.
, and Grimble
, M.
, 2008
, “Nonlinear Predictive Control of Steel Slab Reheating Furnace
,” American Control Conference (ACC
), Seattle, WA, June 11–13, pp. 1679
–1684
.16.
Yang
, Y.
, and Lu
, Y.
, 1986
, “Development of a Computer Control Model for Slab Reheating Furnaces
,” Comput. Ind.
, 7
(2
), pp. 145
–154
.17.
Steinboeck
, A.
, Wild
, D.
, Kiefer
, T.
, and Kugi
, A.
, 2010
, “A Mathematical Model of a Slab Reheating Furnace With Radiative Heat Transfer and Non-Participating Gaseous Media
,” Int. J. Heat Mass Transfer
, 53
(25
), pp. 5933
–5946
.18.
Yoshitani
, N.
, Ueyama
, T.
, and Usui
, M.
, 1994
, “Optimal Slab Heating Control With Temperature Trajectory Optimization
,” 20th International Conference on Industrial Electronics, Control and Instrumentation
(IECON’94
), Bologna, Italy, Sept. 5–9, Vol. 3, pp. 1567
–1572
.19.
Mochida
, A.
, Kudo
, K.
, Mizutani
, Y.
, Hattori
, M.
, and Nakamura
, Y.
, 1997
, “Transient Heat Transfer Analysis in Vacuum Furnaces Heated by Radiant Tube Burners
,” Energy Convers. Manage.
, 38
(10
), pp. 1169
–1176
.20.
Kang
, D.
, Kim
, Y.
, Kim
, Y.
, Kim
, W.
, and Kim
, K.
, 2007
, Experimental and Numerical Studies on the Thermal Analysis of the Plate in Indirectly-Fired Continuous Heat Treatment Furnace
, Vol. 1988
, VDI BERICHTE
, Dusseldorf, Germany, p. 533
.21.
Pike
, H.
, Jr., and Citron
, S.
, 1970
, “Optimization Studies of a Slab Reheating Furnace
,” Automatica
, 6
(1
), pp. 41
–50
.22.
Yang
, Y.
, and Lu
, Y.
, 1988
, “Dynamic Model Based Optimization Control for Reheating Furnaces
,” Comput. Ind.
, 10
(1
), pp. 11
–20
.23.
Steinboeck
, A.
, Graichen
, K.
, and Kugi
, A.
, 2011
, “Dynamic Optimization of a Slab Reheating Furnace With Consistent Approximation of Control Variables
,” IEEE Trans. Control Syst. Technol.
, 19
(6
), pp. 1444
–1456
.24.
Chen
, W.
, Chung
, Y.
, and Liu
, J.
, 2005
, “Analysis on Energy Consumption and Performance of Reheating Furnaces in a Hot Strip Mill
,” Int. Commun. Heat Mass Transfer
, 32
(5
), pp. 695
–706
.25.
Han
, S.
, Chang
, D.
, and Huh
, C.
, 2011
, “Efficiency Analysis of Radiative Slab Heating in a Walking-Beam-Type Reheating Furnace
,” Energy
, 36
(2
), pp. 1265
–1272
.26.
Panjkovic
, V.
, and Gloss
, R.
, 2012
, “Fast Dynamic Heat and Mass Balance Model of Walking Beam Reheat Furnace With Two-Dimensional Slab Temperature Profile
,” Ironmaking Steelmaking
, 39
(3
), pp. 190
–209
.27.
Incropera
, F.
, 2011
, Fundamentals of Heat and Mass Transfer
, Wiley
, Hoboken, NJ.28.
Hottel
, H. C.
, and Sarofim
, A. F.
, 1967
, Radiative Transfer
, McGraw-Hill
, New York
, pp. 31–37.29.
Niederer
, M.
, Strommer
, S.
, Steinboeck
, A.
, and Kugi
, A.
, 2014
, “A Simple Control-Oriented Model of an Indirect-Fired Strip Annealing Furnace
,” Int. J. Heat Mass Transfer
, 78
, pp. 557
–570
.30.
Tiwari
, M.
, Mukhopadhyay
, A.
, and Sanyal
, D.
, 2005
, “Process Modeling for Control of a Batch Heat Treatment Furnace With Low NOx Radiant Tube Burner
,” Energy Convers. Manage.
, 46
(13
), pp. 2093
–2113
.31.
Chapra
, S. C.
, and Canale
, R. P.
, 2012
, Numerical Methods for Engineers
, Vol. 2
, McGraw-Hill
, New York.32.
Zhang
, B.
, Chen
, Z.
, Xu
, L.
, Wang
, J.
, Zhang
, J.
, and Shao
, H.
, 2002
, “The Modeling and Control of a Reheating Furnace
,” 2002 American Control Conference
, Anchorage, AK, May 8–10, Vol. 5, pp. 3823
–3828
.33.
Seborg
, D.
, Edgar
, T.
, and Mellichamp
, D.
, 2004
, Process Dynamics and Control
, Wiley
, Hoboken, NJ.34.
Badgwell
, T.
, Breedijk
, T.
, Bushman
, S.
, Butler
, S.
, Chatterjee
, S.
, Edgar
, T.
, Toprac
, A.
, and Trachtenberg
, I.
, 1995
, “Modeling and Control of Microelectronics Materials Processing
,” Comput. Chem. Eng.
, 19
(1
), pp. 1
–41
.35.
Myers
, R.
, Montgomery
, D.
, and Anderson-Cook
, C.
, 2009
, Response Surface Methodology: Process and Product Optimization Using Designed Experiments
, Vol. 705
, Wiley
, Hoboken, NJ.36.
Cozad
, A.
, Sahinidis
, N. V.
, and Miller
, D. C.
, 2014
, “Learning Surrogate Models for Simulation-Based Optimization
,” AIChE J.
, 60
(6
), pp. 2211
–2227
.37.
Tibshirani
, R.
, 1996
, “Regression Shrinkage and Selection Via the Lasso
,” J. R. Stat. Soc. Ser. B
, 58
(1), pp. 267
–288
.38.
Wächter
, A.
, and Biegler
, L.
, 2006
, “On the Implementation of an Interior-Point Filter Line-Search Algorithm for Large-Scale Nonlinear Programming
,” Math. Program.
, 106
(1
), pp. 25
–57
.39.
Abbaschian
, R.
, and Reed-Hill
, R.
, 2008
, Physical Metallurgy Principles
, Cengage Learning
, Stamford, CT.Copyright © 2017 by ASME
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