Research Papers

Process Parameters Influencing Tertiary Scale Formation at a Hot Strip Mill Using a Multinomial Logit Model

[+] Author and Article Information
Mark Evans

Materials Research Centre,
College of Engineering,
Swansea University,
Singleton Park,
Swansea, SA2 8PP, UK

Jonathan Kennedy

The Engineering Doctorate Centre in Steel Technology Materials Research Centre,
College of Engineering,
Swansea University,
Singleton Park,
Swansea, SA2 8PP, UK

Paul Thomas

Tata Steel Strip Products UK,
Port Talbot Works,
Port Talbot, SA13 2NG, UK

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the Journal of Manufacturing Science and Engineering. Manuscript received April 25, 2012; final manuscript received December 14, 2012; published online May 24, 2013. Assoc. Editor: Jyhwen Wang.

J. Manuf. Sci. Eng 135(3), 031008 (May 24, 2012) (13 pages) Paper No: MANU-12-1126; doi: 10.1115/1.4023717 History: Received April 25, 2012; Revised December 14, 2012

Scale is highly detrimental to the surface quality of tinplate products and this problem is created during the hot rolling process. In this paper, a multinomial logit model is used to both quantify the influence of hot mill process parameters on tertiary scale formation and to identify how to optimize the running conditions at the hot mill, that is, to identify what base chemistries to use and what temperatures to run the hot mill at so that the percentage of coils produced with significant scale formation is kept as low as is required for meeting customer requirements. Principal component analysis is used to reduce the dimensionality of the dataset while retaining the majority of the variability in the process variables. It was found that a multinomial logit model containing these components was consistent with the process data and it was further determined from this model that the most significant variables were the temperature at which the steel strip was entering the finishing mill, together with the percentage of phosphorus and aluminum present within the slab entering the mill. More importantly, for process control it was found that to keep the rate of coils containing medium or high scale counts below 10%, the average rougher mill temperature should be kept at 1020 °C or less, or alternatively the aluminum content should be kept below 0.024% wt when running the hot mill at the mean values for all the other process variables. The multinomial logit model was capable of identifying many other optimal running conditions for the hot mill.

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Bolt, H., 2003, “Understanding the Properties of Oxide Scale on Hot Rolled Strip,” METEC Congress 03/3rd European Rolling Conference (ERC), Dusseldorf, Germany.
Haapamaki, J., Tamminen, S., and Roning, J., 2005, “Data Mining Methods in Hot Steel Rolling for Scale Defect Prediction,” Proceedings of AIA, pp. 453–464.
Montgomery, D. C., 2009, Design and Analysis of Experiments, 7th ed., John Wiley & Sons, Asia, Chap. 11.
Kennedy, J., Evans, M., and Robinson, F., 2012, “Identification, for Control, of the Process Parameters Influencing Tertiary Scale Formation at the Hot Strip Mill Using a Binary Choice Model,” J. Mater. Proc. Tech., 212(7), pp. 1622–1630 [CrossRef].
Yang, Y., Yang, C., Lin, S., Chen, C., and Tsai, W., 2008, “Effects of Si and Its Content on the Scale Formation on Hot-Rolled Steel Strips,” Mater. Chem. Phys., 112, pp. 566–571. [CrossRef]
Taniguchi, S., Yamamoto, K., Megumi, D., and Shibata, T., 2001, “Characteristics of Scale/Substrate Interface Area of Si-Containing Low-Carbon Steels at High Temperatures,” Mater. Sci. Eng. A, 308, pp. 250–257. [CrossRef]
Munther, P., and Lenard, J., 1999, “The Effect of Scaling on Interfacial Friction in Hot Rolling of Steels,” J. Mater. Proc. Tech., 88, pp. 105–113. [CrossRef]
Sun, W., Tieu, A. K., Jiang, Z., Zhu, H., and Lu, C., 2004, “Oxide Scales Growth of Low-Carbon Steel at High Temperatures,” J. Mater. Proc. Tech., 155–156, pp. 1300–1306. [CrossRef]
Bolt, H., 2000, “The Properties of Oxide Scales on Hot Rolled Steels: A Literature Review,” Corus Research, Development & Technology, Ijmuiden Technology Centre, Ijmuiden, Netherlands.
Silk, N., 2001, “The Practical Aspects of Hydraulic De-Scaling,” Steel Times International, Vol. 25, pp. 38–44.
Jolliffe, I. T., 2002, Principal Component Analysis, 2nd ed., Springer-Verlag, New York.
Burt, C. L., 1945, How the Mind Works, Allen & Unwin, London.
Childs, D., 1970, The Essentials of Factor Analysis, Holt, Rinehart, and Winston, London.
Mardia, K. V., Kent, J. T., and Bibby, M., 1979, Multivariate Analysis, Academic Press, London.
Cattell, R. B., 1952, Factor Analysis, Harper, New York.
Cramer, J. S., 2003, Logit Models From Economics and Other Fields, Cambridge University Press, Cambridge, UK, Chap. 3.
Theil, H., 1966, Applied Economic Forecasting, Rand McNally & Company, Chicago, IL.


Grahic Jump Location
Fig. 1

Port Talbot hot mill layout

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Fig. 2

Predicted probability of observing (a) very low scale, (b) low scale, (c) medium scale and (d) high scale, for coils where the model produced the incorrect classifications

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Fig. 3

Actual v prediction plots using the classification rule given by Eq. (7b) in the (a) ex-ante sample and (b) the ex-post sample

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Fig. 4

Predicted probability of scale formation with variations in some of the process variables



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