539
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

An Effective Inverse Heat Transfer Procedure Based on Evolutionary Algorithms to Determine Cooling Conditions of a Steel Continuous Casting Machine

, , , &
Pages 414-424 | Received 05 Jun 2014, Accepted 05 Jul 2014, Published online: 18 Feb 2015

REFERENCES

  • Cestari, L.; Dratva, C.; Grundy, A.N.; Tercelli, C. Use of simulation techniques for the design and process control of continuous casting machines. Materials and Manufacturing Processes 2010, 25 (1–3), 142–148.
  • Ramstorfer, F.; Roland, J.; Chimani, C.; Mörwald, K. Investigation of spray cooling heat transfer for continuous slab casting. Materials and Manufacturing Processes 2011, 26 (1), 165–168.
  • Vandrunen, G.; Brimacombe, J.K.; Weinberg, F. Internal cracks in strand-cast billets. Ironmaking and Steelmaking 1975, 2, 125–147.
  • Brimacombe, J.K.; Sorimachi, K. Crack formation in the continuous casting of steel. Metallurgical Transactions B 1977, 8, 489–505.
  • Brimacombe, J.K.; Hawbolt, E.B.; Weinberg, F. Formation of off-corner internal cracks in continuously-cast billet. Canadian Metallurgical Quarterly 1980, 19, 215–227.
  • Brimacombe, J.K.; Samarasekera, I.V.; Mahapatra, R.B. Basic knowledge and the achievement of quality in continuous casting. In Proceedings of the Sixth International Steel Congress, Nagoya, Japan, October 21–26, The Iron and Steel Institute of Japan, 1990.
  • Thomas, B.G. Modeling of the continuous casting of steel - past, present, and future. Metallurgical and Materials Transactions B 2002, 33, 795–812.
  • Cheung, N.; Santos, C.A.; Spim, J.A.; Garcia, A. Application of a heuristic search technique for the improvement of spray zones cooling conditions in continuously cast steel billets. Applied Mathematical Modelling 2006, 30, 104–115.
  • Thomas, B.G. On-line detection of quality problems in continuous casting of steel. In Modeling, Control and Optimization in Ferrous and Nonferrous Industry, Materials Science & Technology Symposium Chicago, EUA, November 10–12 2003; Kongoli, F. Thomas, B.G. Sawamiphakdi, K. Eds.; TMS, Warrendale, 2003.
  • Santos, C.A.; Garcia, A.; Frick, C.; Spim, J.A. Evaluation of heat transfer coefficients along the secondary cooling zones in the continuous casting of steel billets. Inverse Problems in Engineering 2006, 14 (6), 687–700.
  • Santos, C.A.; Spim, J.A.; Garcia, A. Mathematical modeling and optimization strategies (genetic algorithm and knowledge base) applied to the continuous casting of steel. Engineering Applications of Artificial Intelligence 2003, 16, 511–527.
  • Barcellos, V.K.; Ferreira, C.R.F.; Spim, J.A.; Santos, C.A.; Garcia, A. The interrelation between casting size, steel grade, and temperature evolution along the mold length and at the strand surface during continuous casting of steel. Materials and Manufacturing Processes 2011, 26 (11), 113–126.
  • Paszkowicz, W. Genetic algorithms, a nature-inspired tool: survey of applications in materials science and related fields. Materials and Manufacturing Processes 2009, 24 (2), 174–197.
  • Pettersson, F.; Chakraborti, N.; Saxén, H. A genetic algorithms based multi-objective neural net applied to noisy blast furnace data. Applied Soft Computing 2007, 7 (1), 387–397.
  • Zarandi, M.H.F.; Ahmadpour, P. Fuzzy agent-based expert system for steel making process. Expert Systems with Applications 2009, 36 (5), 9539–9547.
  • Giri, B.K.; Pettersson, F.; Saxén, H.; Chakraborti, N. Genetic programming evolved through bi-objective genetic algorithms applied to a blast furnace. Materials and Manufacturing 2013, 28 (7), 776–782.
  • Cheung, N.; Garcia, A. The use of a heuristic search technique for the optimization of quality of steel billets produced by continuous casting. Engineering Applications of Artificial Intelligence 2001, 14, 229–238.
  • Santos, C.A.; Spim, J.A.; Ierardi, M.C.F.; Garcia, A. The use of artificial intelligence technique for the optimisation of process parameters used in the continuous casting of steel. Applied Mathematical Modelling 2002, 26 (11), 1077–1092.
  • Chakraborti, N.; Kumar, K.S.; Roy, G.G. A heat transfer study of the continuous caster mold using a finite volume approach coupled with genetic algorithms. Journal of Materials Engineering and Performance 2003, 12 (4), 430–435.
  • Ghosh, S.; Mitra, K.; Basu, B.; Jategaonkar, Y.A. Control of meniscus-level fluctuation by optimization of spray cooling in an industrial thin slab casting machine using a genetic algorithm. Materials and Manufacturing Processes 2004, 19 (3), 549–562.
  • Santos, C.A.; Cheung, N.; Spim, J.A.; Garcia, A. Application of a solidification mathematical model and a genetic algorithm in the optimization of ingot thermal profile along the continuous casting of steel. Materials and Manufacturing Processes 2005, 20 (3), 421–434.
  • Miettinen, K. Using interactive multiobjective optimization in continuous casting of steel. Materials and Manufacturing Processes 2007, 22 (5), 585–593.
  • Govindan, D.; Chakraborty, S.; Chakraborti, N. Analyzing the fluid flow in continuous casting through evolutionary neural nets and multi-objective genetic algorithms. Steel Research International 2010, 81 (3), 197–203.
  • Sindhya, K; Miettinen, K. New perspective to continuous casting of steel with a hybrid evolutionary multiobjective algorithm. Materials and Manufacturing Processes 2011, 26 (3), 481–492.
  • Zhang, B.; Zhang, R.; Wang, G.; Sun, L.; Zhang, Z.; Li, Q. Breakout prediction for continuous casting using genetic algorithm-based back propagation neural network model. International Journal of Modelling, Identification and Control 2012, 16 (3), 199–205.
  • Chen, W.; Zhang, Y.Z.; Ma, J.H.; Wang, B.X.; Chen, Y.; Wang, C. Optimization of processing parameters for beam blank continuous casting using MOGA combined with FEM. Reviews on Advances Materials 2013, 33, 337–341.
  • Santos, C.A.; Fortaleza, E.L.; Frick, C.R.; Spim, J.A.; Garcia, A. A solidification heat transfer model and a neural network based algorithm applied to the continuous casting of steel billets and blooms. Modelling and Simulation in Materials Science and Engineering 2005, 13, 1071–1087.
  • Currie, J.; Wilson, D.I. Opti: Lowering the barrier between open source optimizers and the industrial MATLAB user. Foundations of Computer-Aided Process Operations, Georgia, USA, 2012.
  • Hetmaniok, E.; Słota, D.; Zielonka, A. Application of the swarm intelligence algorithm for investigating the inverse continuous casting problem. Studies in Computational Intelligence 2013, 489, 157–162.
  • Wang, X.; Yao, M. Neural networks for solving the inverse heat transfer problem of continuous casting mould. In Seventh International Conference on Natural ComputationICNC 2011, Shanghai, China, July 26–28, 2011; Ding, Y. Wang, H. Xiong, N. Hao, K. Wang, L. Eds.; IEEE: Red Hook, 2011.
  • Paszkowicz, W. Genetic algorithms, a nature-inspired tool: a survey of applications in materials science and related fields: part II. Materials and Manufacturing Processes 2013, 28 (2), 708–725.
  • Chakraborti, N. Critical assessment: the unique contributions of multi-objective evolutionary and genetic algorithms in materials research. Materials Science and Technology 2014, 30 (11), 1259–1262. DOI: http://dx.doi.org/10.1179/1743284714Y.0000000578
  • Chakraborti, N. Promise of multiobjective genetic algorithms in coating performance formulation. Surface Engineering 2014, 30, 79–82.
  • Incropera, F.P.; Dewitt, D.P. Fundamentals of Heat and Mass Transfer; Wiley: New York, 1990; 919 pp.
  • Voller, V.R.; Swaminathan, C.R. General source-based method for solidification phase change. Numerical Heat Transfer Part B 1991, 19, 175–189.
  • Ruddle, R.W. The Solidification of Castings; Institute of Metals: London, 1957; 406 pp.
  • Louhenkilpi, S. Study of heat transfer in a continuous billet casting machine. Scandinavian Journal of Metallurgy 1994, 23, 9–17.
  • Cruz, K.S.; Spinelli, J.E.; Ferreira, I.L.; Cheung, N.; Garcia, A. Microstructural development in Al–Sn alloys directionally solidified under transient heat flow conditions. Materials Chemistry and Physics 2008, 109 (1), 87–98.
  • Cheung, N.; Ferreira, I.L.; Pariona, M.M.; Quaresma, J.M.V.; Garcia, A. Melt characteristics and solidification growth direction with respect to gravity affecting the interfacial heat transfer coefficient of chill castings. Materials and Design 2009, 303, 592–3601.
  • Canté, M.V.; Spinelli, J.E.; Cheung, N.; Garcia, A. The correlation between dendritic microstructure and mechanical properties of directionally solidified hypoeutectic Al-Ni alloys. Metals and Materials International 2010, 16 (1), 39–49.
  • Santos, V.L.G.; Barcellos, V.K.; Ferreira, C.R.F.; Santos, C.A.; Spim Jr. J.A. Microstructural analysis of the special steels produced by continuous casting process. Materials and Manufacturing Processes 2012, 27 (11), 1198–1207.
  • Bertelli, F.; Cheung, N.; Garcia, A. Inward solidification of cylinders: reversal in the growth rate and microstructure evolution. Applied Thermal Engineering 2013, 61, 577–582.
  • Silva, B.L.; Cheung, N.; Garcia, A.; Spinelli, J.E. Thermal parameters, microstructure, and mechanical properties of directionally solidified Sn-0.7wt.%Cu solder alloys containing 0 ppm to 1000 ppm Ni. Journal of Electronic Materials 2013, 42 (1), 179–191.
  • Qiu, W.; Delacy, B.G.; Johnson, S.G.; Joannopoulos, J.D.; Soljacic, M. Optimization of broadband optical response of multilayer nanospheres. Optics Express 2002, 20 (16), 18494–18504.
  • Liao, T.; De Oca, M.A.M.; Aydin, D.; Stützle, T.; Dorigo, M. An incremental ant colony algorithm with local search for continuous optimization. In 13th Annual Conference on Genetic and Evolutionary Computation, Dublin, Ireland, July 12–16, 2011; Krasnogor, N. Lanzi, P.L. Eds.; ACM: New York, 2011.
  • Hansen, N.; Auger, A.; Ros, R.; Finck, S.; Posik, P. Comparing results of 31 algorithms from the black-box optimization benchmarking BBOB-2009. In 12th Annual Conference Companion on Genetic and Evolutionary Computation, Portland, USA, July 7–11, 2010; Pelikan, M. Branke, J. Eds.: ACM: New York, 2010.
  • Moré, J.J.; Wild, S.M. Benchmarking derivative-free optimization algorithms. SIAM Journal on Optimization 2009, 20 (1), 172–191.
  • Zillober, C. A globally convergent version of the method of moving asymptotes. Structural and Multidisciplinary Optimization 1993, 6 (3), 166–174.
  • Kang, Z.; Zhang, X.; Jiang, S.; Cheng, G. On topology optimization of damping layer in shell structures under harmonic excitations. Structural and Multidisciplinary Optimization 2012, 46, 1–17.
  • Svanberg, K. A class of globally convergent optimization methods based on conservative convex separable approximations. SIAM Journal on Optimization 2002, 12 (2), 555–573.
  • Wang, F.; Jensen, J.S.; Sigmund, O. Robust topology optimization of photonic crystal waveguides with tailored dispersion properties. Journal of the Optical Society of America B, 2011, 28 (3), 387–397.
  • Gu, X.; Kim, H.; Masciotti, J.; Hielscher, A. A parallel reduced-space sequential-quadratic programming algorithm for frequency-domain small animal optical tomography. In Optical Tomography and Spectroscopy of Tissue VIII, San Jose, EUA, Feb 23, 2009; Tromberg, B.J. Yodh, A.G. Tamura, M. Sevick-Muraca, E.M. Alfano, R.R. Eds.; SPIE: Bellingham, 2009.
  • Dehdari, V.; Oliver, D. Sequential quadratic programming for solving constrained production optimization-case study from Brugge field. Society of Petroleum Engineers 2012, 17 (3), 874–884.
  • Fliege, J.; Drummond, L.G.; Svaiter, B.F. Newton's method for multi-objective optimization. SIAM Journal on Optimization 2002, 20 (2), 602–626.
  • Byrd, R.H.; Curtis, F.E.; Nocedal, J. An inexact Newton method for nonconvex equality constrained optimization. Mathematical Programming 2010, 122 (2), 273–299.
  • Tang, K.; Yao, X.; Suganthan, P.N.; Macnish, C.; Chen, Y.P.; Chen, C.M.; Yang, Z. Benchmark Functions for the CEC'2008 Special Session and Competition on Large Scale Global Optimization; Nature Inspired Computation and Applications Laboratory, USTC: Hefei, 2007.
  • Markov, P.; Valentine, J.G.; Weiss, S.M. Fiber-to-chip coupler based on transformation optics. In Conference on Lasers and Electro-Optics (CLEO), San Jose, EUA, May 6–11, 2012; IEEE: Red Hook, 2012.
  • Gabrielli, L.H.; Lipson, M. Integrated gradient index Luneburg lens for robust fiber-to-chip coupling, In Conference on Lasers and Electro-Optics (CLEO), San Jose, EUA, May 6–11, 2012; IEEE: Red Hook, 2012.
  • Soref, R. The past, present and future of silicon photonics, IEEE Journal of Selected Topics in Quantum Electronics 2006, 12(6), 1678–1687.
  • Powell, M.J.D. On trust region methods for unconstrained minimization without derivatives. Mathematical Programming 2003, 97 (3), 605–623.
  • Powell, M.J.D. A view of algorithms for optimization without derivatives. Cambridge University Technical Report DAMTP 2007/NA0, 2007.
  • Powell, M.J.D. The BOBYQA algorithm for bound constrained optimization without derivatives. Cambridge University Technical Report DAMTP 2009/NA06, 2009.
  • Santos, C.H.S.; Gonçalves, M.S.; Hernandez-Figueroa, H.E. Designing novel photonic devices by bio-inspired computing. Photonics Technology Letters 2010, 22, 1177–1179.
  • Weise, T. Global Optimization Algorithms – Theory and Practice; Available at: http://www.it-weise.de/projects/book.pdf (last accessed May 29, 2014).
  • Runnarson, P.; Yao, X. Sthocastic ranking for constrained evolutionary optimization. IEEE Transactions on Evolutionary Computation 2000, 4 (3), 284–294.
  • Open-source library for nonlinear optimization. Available at http://ab-initio.mit.edu/wiki/index.php/NLopt_release_notes#NLopt_1.0 (last accessed May 29, 2014).
  • Runnarson, P.; Yao, X. Search biases in constrained evolutionary optimization. IEEE Transaction on System, Man and Cybernetics 2005, 35 (2), 233–243.
  • Silva, L.G.; Cerqueira, A.S. Jr.; Silva-Santos, C.H. Tri-band RF filters optimization using evolutionary strategy. In Microwave & Optoelectronics Conference, Rio de Janeiro, Brazil, Aug 4–7, 2013; IEEE: Red Hook, 2013.
  • Meng, Y.; Thomas, B.G. Heat transfer and solidification model of continuous slab casting: CON1D. Metallurgical and Materials Transactions B 2003, 34(5) 685–705.
  • Brimacombe, J.K. Design of continuous casting machines based on a heat-flow analysis: state of the art review. Canadian Metallurgical Quarterly 1976, 15, 163–175.
  • Lally, B.; Biegler, L.T.; Henein, H. Optimization and continuous casting: part II. Application to industrial casters. Metallurgical Materials Transactions B 1991, 22, 649–659.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.