An MPEC formulation for dynamic optimization of distillation operations

Computers and Chemical Engineering

Volumn 28, Issue 10, 2004, Pages 2037-2052

  Raghunathan, Arvind U ^a   Soledad Diaz, M ^b   Biegler, Lorenz T ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b PLAPIQUI UNS CONICET   (Argentina)

Author keywords

Barrier methods; Complementarity conditions; Distillation; Dynamic optimization; Nonlinear programming

Indexed keywords

CHEMICAL ENGINEERING; CRYOGENICS; OPTIMIZATION; PHASE EQUILIBRIA; PROBLEM SOLVING;

DYNAMIC OPTIMIZATION; MATHEMATICAL PROGRAM WITH EQUILIBRIUM CONSTRAINTS (MPEC);

DISTILLATION;

BARRIER; DISTILLATION; INDUSTRIAL APPLICATION;

ARTICLE; COLUMN CHROMATOGRAPHY; DISTILLATION; DYNAMICS; GAS; LIQUID; MATHEMATICAL COMPUTING; METHODOLOGY;

EID: 3543029878     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2004.03.015     Document Type: Article

References (37)

1. Allgor R., Barton P.I. Mixed integer dynamic optimization i: problem formulation. Computers and Chemical Engineering. 23(4/5):1999;457
2. Anitescu, M. (2001). On solving mathematical programs with complementarity constraints as nonlinear programs. Technical report ANL/MCS-P864-1200. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL.
3. Avraam M., Shah N., Pantelides C.C. Modeling and optimization of general hybrid systems in continuous time domain. Computers and Chemical Engineering. 22:1998;S221
4. Bader G., Ascher U. A new basis implementation for mixed order boundary value ode solver. SIAM Journal on Scientific and Statistical Computing. 8:1987;483-500
5. Barton P.I., Allgor R.J., Feehery W.F., Galan S. Dynamic optimization in a discontinuous world. Industrial & Engineering Chemistry Research. 37:1998;966-981
6. Barton P.I., Park T. Analysis and control of combined discrete/continuous systems: Progress and challenges in the chemical process industries. AIChE Symposium Series. 93(316):1997;102
7. Biegler L.T., Cervantes A.M., Wächter A. Advances in simultaneous strategies for dynamic process optimization. Chemical Engineering Science. 57:2002;575
8. Cervantes A.M., Biegler L.T. Large-scale DAE optimization using a simultaneous NLP formulation. AIChE Journal. 44(5):1998;1038
9. Cervantes A.M., Wächter A., Tütüncü R., Biegler L.T. A reduced space interior point strategy for optimization of differential algebraic systems. Computers and Chemical Engineering. 24:2000;39-51
10. Clark P.A., Westerberg A.W. Bilevel programming for steady state chemical process design i. Computers and Chemical Engineering. 14(1):1990;87-97
11. Diaz S., Serrani A., Bandoni A., Brignole E. Automatic design and optimization of natural gas plants. Industrial & Engineering Chemistry Research. 36:1997;715-724
12. Diaz, S., Tonelli, S., Bandoni, A., & Biegler, L. T. (2003). Dynamic optimization for switching between operating modes in cryogenic plants. In Proceedings of FOCAPO 2003, Coral Springs, Miami, USA, (p. 601).
13. Fiacco, A. V., & McCormick, G. P. (1968). Nonlinear programming: sequential unconstrained minimization techniques. Reprinted by SIAM Publications. New York, USA: Wiley.
14. Fletcher, R., Gould, N. I. M., Leyffer, S., Toint, Ph. L., & Wächter, A. W. (1999). Global convergence of trust-region sQP-filter algorithms for nonlinear programming. Technical report 99/03, Department of Mathematics, University of Namur, Namur, Belgium.
15. Fletcher, R., Leyffer, S., Ralph, D., & Scholtes, S. (2002). Local convergence of SQP methods for mathematical programs with equilibrium constraints. Technical report NA209, University of Dundee, UK.
16. Floudas C.A., Grossmann I.E. Synthesis of flexible heat exchanger networks with uncertain flowrates and temperatures. Computers and Chemical Engineering. 11:1987;319-336
17. Forsgren A., Gill P.E., Wright M.H. Interior methods for nonlinear optimization. SIAM Review. 44(4):2002;525-597
18. Fourer, R., Gay, D., & Kernighan, R. (2001). AMPL. Cole/Brooks.
19. Gill P.E., Murray W., Saunders M.A. SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM Journal on Optimization. 12(4):2002;979-1006
20. Gopal V., Biegler L.T. Smoothing methods for Complementarity Problems in Process Engineering. AIChE Journal. 45(7):1999;1535-1547
21. Harker P.T., Pang J.-S. Finite-dimensional variational inequalities and complementarity problems: a survey of theory, algorithms and applications. Mathematical Programming. 60:1990;161-220
22. Heemels, W. P., DeSchutter, B., & Bemporad, A. (2001). On the equivalence of hybrid dynamical models. In 40th IEEE Conference on Decision and Control, Orlando, FL, (pp. 364-369).
23. Lang, Y. -D., & Biegler, L. T. (2002). A distributed stream method for tray optimization. AIChE Journal, 48(3), 582.
24. Leyffer, S., & Fletcher, R. (2000). Mathematical programs with equilibrium constraints. In International Symposium on Mathematical Programming, Atlanta, GA.
25. Luo, Z. -Q., Pang, J. -S., & Ralph, D. (1996). Mathematical programs with equilibrium constraints. Cambridge: Cambridge University Press.
26. Mandler J.A. Modelling for control analysis and design in complex industrial separation and liquefaction processes. Journal of Process Control. 10(2):2000;167-175
27. Mattson S., Soderlind G. Index reduction in differential algebraic systems using dummy derivatives. SIAM Journal on Scientific Computing. 14:1993;677-692
28. Pedersen, K. S., Fredenslund, Aa., & Thomassen, P. (1989). Properties of oils and natural gases. Gulf Publishing Company, Houston.
29. Raghunathan, A. U., & Biegler, L. T. (2004). Interior point methods for mathematical programs with complementarity constraints (MPCCs). SIAM J. Optimization, to appear.
30. Raghunathan, A. U., & Biegler, L. T. (2003). MPEC formulations and algorithms in process engineering. Computers and Chemical Engineering, 27, 1381-1392.
31. Raghunathan, A. U., Perez-Correa, R., & Biegler, L. T. (2003). Data reconciliation and parameter estimation in flux-balance analysis. Biotechnology and Bioengineering, 84, 700-709.
32. Sahin K.H., Ciric A.R. A dual temperature simulated annealing approach for solving bilevel programming problems. Computers and Chemical Engineering. 23:1998;11-25
33. Stein, O., Oldenburg, J., & Marquardt, W. (2004). Continuous reformulations of discrete-continuous optimization problems. Computers and Chemical Engineering, in press.
34. van der Schaft, A. J., & Schumacher, J. M. (1998). Complemetarity modeling of hybrid systems. IEEE Transactions on Automatic Control, 43(4).
35. Wächter, A. (2002). Interior point methods for large-scale nonlinear programming with applications. Ph.D. thesis, Carnegie Mellon University.
36. Wächter, A., & Biegler, L. T. (2004). Line search filter methods for nonlinear programming: Motivation and global convergence. SIAM J. Opt., to appear.
37. 2 removal Oil & Gas Journal. 80(18):1982;281