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Robust real-time optimization for the linear oilblending

Published online by Cambridge University Press:  29 November 2013

Stefan Janaqi ,
Jorge Aguilera  and
Meriam Chèbre
Stefan Janaqi
Affiliation:
LGI2P Ecole des Mines d’Alès, Parc Scientifique Georges Besse, 30035 Nîmes Cedex 1, France.. stefan.janaqi@mines-ales.fr
Jorge Aguilera
Affiliation:
LGI2P Ecole des Mines d’Alès, Parc Scientifique Georges Besse, 30035 Nîmes Cedex 1, France.. stefan.janaqi@mines-ales.fr
Meriam Chèbre
Affiliation:
Advanced Process Control Department, Technical Direction, TOTAL Refining &Marketing, Le Havre, France
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Abstract

In this paper we present a robust real-time optimization method for the online linear oilblending process. The blending process consists in determining the optimal mix ofcomponents so that the final product satisfies a set of specifications. We examinedifferent sources of uncertainty inherent to the blending process and show how to addressthis uncertainty applying the Robust Optimization techniques. The polytopal structure ofour problem permits a simplified robust approach. Our method is intended to avoidreblending and we measure its performance in terms of the blend quality giveaway andfeedstocks prices. The difference between the nominal and the robust optimal values (theprice of robustness) provides a benchmark for the cost of reblending which is difficult toestimate in practice. This new information can be used to adjust the level of conservatismin the model. We analyze the feasibility of a blend to be produced from a set offeedstocks when the heel of a previous blend is used in the composition of the new blend.Additional critical information for the control system is then produced.

Keywords

BlendingrobustnesspolyhedraRTOlinear programing
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 4: ROADEF 2012 , September 2013 , pp. 465 - 479
Copyright
© EDP Sciences, ROADEF, SMAI 2013

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References

A. Ben-Tal, L.E. Ghaoui and A. Nemirovski, Robust Optimization (Princeton Series in Applied Mathematics). Princeton University Press (2009).
Chèbre, M., Crefi, Y. and Petit, N., Feedback control and optimization for the production of commercial fuels by blending. J. Process Control 20 (2010) 441–451. Google Scholar
Hendrix, E., Finding robust solutions for product design problems. Eur. J. Oper. Res. 92 (1996) 28–36. Google Scholar
Singh, A., Model-based real-time optimization of automotive gasoline blending operations. J. Process Control 10 (2000) 43–58. Google Scholar
W. Wang, Z. Li, Q. Zhang and Y. Li, Online optimization model design of gasoline blending system under parametric uncertainty. In Proceedings of the 15th Mediterranean Conference on Control & Automation (2007).
Zhang, Y., Results analysis for trust constrained real-time optimization. J. Process Control 11 (2001) 329–341. Google Scholar
Zhang, Y., Monder, D. and Fraser Forbes, J., Real-time optimization under parametric uncertainty: a probability constrained approach. J. Process Control 12 (2002) 373–389. Google Scholar
M. Grant and S. Boyd, CVX User’s Guide (2009).