On 3D dynamic control of secondary cooling in continuous casting process
Lobachevskii journal of mathematics, Tome 13 (2003), pp. 3-13 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper a 3D-model for simulation and dynamic control of the continuous casting process is presented. The diffusion convection equation with multiphase transition is used as a simulation model. The developed model is discretized by finite element method and the algebraic equations are solved using pointwise relaxation method. Two different type of methods are used to control the secondary cooling, namely PID and optimal control method. The numerical results are presented and analyzed.
Keywords: Stefan problem, continuous casting process, optimization problem, implicit schemes.
Mots-clés : FEM
@article{LJM_2003_13_a0,
     author = {R. Z. Dautov and R. F. Kadyrov and E. Laitinen and A. V. Lapin and J. Piesk\"a and V. Toivonen},
     title = {On~3D dynamic control of secondary cooling in continuous casting process},
     journal = {Lobachevskii journal of mathematics},
     pages = {3--13},
     year = {2003},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2003_13_a0/}
}
TY  - JOUR
AU  - R. Z. Dautov
AU  - R. F. Kadyrov
AU  - E. Laitinen
AU  - A. V. Lapin
AU  - J. Pieskä
AU  - V. Toivonen
TI  - On 3D dynamic control of secondary cooling in continuous casting process
JO  - Lobachevskii journal of mathematics
PY  - 2003
SP  - 3
EP  - 13
VL  - 13
UR  - http://geodesic.mathdoc.fr/item/LJM_2003_13_a0/
LA  - en
ID  - LJM_2003_13_a0
ER  - 
%0 Journal Article
%A R. Z. Dautov
%A R. F. Kadyrov
%A E. Laitinen
%A A. V. Lapin
%A J. Pieskä
%A V. Toivonen
%T On 3D dynamic control of secondary cooling in continuous casting process
%J Lobachevskii journal of mathematics
%D 2003
%P 3-13
%V 13
%U http://geodesic.mathdoc.fr/item/LJM_2003_13_a0/
%G en
%F LJM_2003_13_a0
R. Z. Dautov; R. F. Kadyrov; E. Laitinen; A. V. Lapin; J. Pieskä; V. Toivonen. On 3D dynamic control of secondary cooling in continuous casting process. Lobachevskii journal of mathematics, Tome 13 (2003), pp. 3-13. http://geodesic.mathdoc.fr/item/LJM_2003_13_a0/

[1] S. Bouhouche, Contribution to quality and process optimisation in continuous casting using mathematical modelling, Doctoral Dissertation, der Technischen Universität Bergakademie Freiberg, Germany, 2002

[2] J. Jr. Douglas and T. F. Russel, “Numerical methods for convection-dominated diffusion problem based on combining the method of characteristic with finite element or finite difference procedures”, SIAM J. Numer. Anal., 19 (1982), 871–885 | DOI | MR | Zbl

[3] C. M. Elliot and J. R. Ockendon, Weak and variational methods for moving boundary problems, Pitman Advanced Publishing Program, Boston, 1982 | MR | Zbl

[4] B. Filipic, B. Sarler, “Evolving parameter settings for continuous casting of steel”, Proceedings of the 6th European Congress on Intelligent Techniques Soft Computing (Aachen, Germany, 1998), 444–449

[5] M. Jauhola, E. Kivelä, J. Konttinen, E. Laitinen, S. Louhenkilpi, “Dynamic secondary cooling model for continuous casting machine”, Proceedings of ATS 93 Steelmaking (Paris, France, 1994), 110–111

[6] E. Laitinen, On the simulation and control of the continuous casting of steel, Doctoral Dissertation, University of Jyväskylä, Finland, 1989 | MR

[7] E. Laitinen, A. Lapin, J. Pieskä, “Mesh approximation and iterative solution of the continuous casting problem”, ENUMATH 99, Proceeding of the 3rd European conference on Numerical Mathematics and Advanced Applications, eds. P. Neittaanmdki, T. Tiihonen and P. Tarvainen, World Scientific, Singapore, 2000, 601–617 | MR

[8] E. Laitinen, J. Pieskä, “Comparison of upwind and characteristic schemes for solving multiphase diffusion-convection equation”, Computer assisted Mechanics and Engineering Sciences, 7, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland, 2000, 421–426

[9] S. Louhenkilpi, E. Laitinen, R. Nieminen, “Real-time simulation of heat transfer in continuous casting”, Metall. Trans., B24 (1993), 685–693

[10] J. F. Rodrigues, F. Yi, “On a two-phase continuous casting Stefan problem with nonlinear flux”, Euro. J. App. Math., 1 (1990), 259–278 | MR | Zbl

[11] C. A. Santos, J. A. Spim Jr., M. C. F. Ierardi, A. Garcia, “The use of artificial intelligence technique for the optimisation of process parameters used in the continuous casting of steel”, Applied Math. Modelling, 26 (2002), 1077–1092 | DOI | Zbl