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Journal of applied research and technology

On-line version ISSN 2448-6736Print version ISSN 1665-6423

J. appl. res. technol vol.2 n.2 Ciudad de México Aug. 2004

 

An implicit controller for the steel level regulation in a vacuum-based continuous casting process

 

M. A. Barrón1 & J. González2

 

1 Departamento de Materiales, Universidad Autónoma Metropolitana-Azcapotzalco Apartado Postal 75-338, México, D.F., México.

2 Departamento de Sistemas Universidad Autónoma Metropolitana-Azcapotzalco Apartado Postal 75-338, México, D.F., México.

 

Received: July 3th 2002.
Accepted May 9th 2003.

 

Abstract

A nonlinear mathematical model of a vacuum-based continuous casting process and an implicit nonlinear controller are developed. The aim of the controller is the regulation of the mold and tundish molten steel levels. In the proposed approach, the output error is designed to be asymptotically stable, and the current values of the control inputs are numerically determined using the Newton-Rapson iterative procedure. The dynamic performance of the closed-loop system is analyzed using computer simulations.

Keywords: Discrete controller, Implicit control, Level control.

 

Resumen

En este trabajo se desarrollan un modelo matemático de un proceso de colada continua de acero mediante vacío y un controlador implícito no lineal. El objetivo del controlador es regular los niveles de acero fundido en el molde y el distribuidor. En el enfoque propuesto, el error de salida se diseña de modo que el sistema a lazo cerrado sea asintóticamente estable y los valores actuales de las entradas de control se determinan mediante el método iterativo de Newton-Raphson. El desempeño dinámico del controlador se analiza mediante simulaciones numéricas.

 

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References

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[2] Wolf, M. "Responding to the Challenge of High Speed Slab Casting". Steel Times Int., May/June, 1994, pp. 4.         [ Links ]

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[5] Ostojic, M. "Numerical Approach to Nonlinear Control Design". Trans. of thee ASME, Vol. 118, 1996, pp. 332-337.         [ Links ]

[6] Barrón, M.A., Aguilar, R., González, J. "Regulation of the Mold Level through Vacuum in a Steel Continuous Casting Process". EEE Proc.-Control Theory and Applications, Vol. 147, 2000, pp. 416-420.         [ Links ]

[7] Burden, R.L., Faires, J.D. Numerical Analysis. New York: PWS Publishing, 1993, pp. 126-148.         [ Links ]

[8] Kozak, B., Dzierzawski, J. Continuous Casting of Steel: Basic Principles. Washington: AISI Learning Center, 2002, pp. 9.         [ Links ]

[9] Geiger, G.H., Poirier, D.R. Transport Phenomena in Metallurgy. Menlo Park: Addison-Wesley Publishing, 1973, pp. 136.         [ Links ]

[10] Chakraborty, S., Sahai, Y. "Effect of Varying Ladle Stream Temperature on the Melt Flow and Heat Transfer in Continuous Casting Tundishes". ISIJ Int., Vol. 31, 1991, pp. 960-967.         [ Links ]

[11] Visioli, A. "Optimal Tuning of PID Controllers for Integral and Unstable Processes". IEE Proc.-Control Theory and Applications, Vol. 148, 2001, pp. 180-184.         [ Links ]

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