Temperature collocation algorithm for fast and robust distillation design

Industrial and Engineering Chemistry Research

Volumn 43, Issue 12, 2004, Pages 3163-3182

  Zhang, Libin ^a   Linninger, Andreas A ^a  

^a 1120 Science and Engineering Offices   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISTILLATION; FINITE ELEMENT METHOD; ROBUSTNESS (CONTROL SYSTEMS); SPECIFICATIONS;

MINIMUM BUBBLE-POINT DISTANCE; OPTIMAL COLUMN SEQUENCING; SADDLE TEMPERATURES; TEMPERATURE COLLOCATION;

CHEMICAL ENGINEERING;

CHEMICAL ENGINEERING; DESIGN; DISTILLATION;

ALGORITHM; ARTICLE; DISTILLATION; LIQUID; MATHEMATICAL ANALYSIS; RELIABILITY; TEMPERATURE; VAPOR;

EID: 2642510761     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie034223k     Document Type: Article

References (58)

1. Widago, S.; Seider, W. Azetropic Distillation. AIChE J. 1996, 42, 96.
2. Wasylkiewicz, S. K.; Kobylka, L. C.; Castillo, F. J. L. Optimal Design of Complex Azetropic Distillation Columns. Chem. Eng. J. 2000, 79, 219.
3. Underwood, A. J. V. Fractional Distillation of Ternary Mixtures. Part I. J. Inst. Pet. 1946, 31, 111.
4. Underwood, A. J. V. Fractional Distillation of Ternary Mixtures. Part II. J. Inst. Pet. 1946, 31, 598.
5. Van Dongen, D. B.; Doherty, M. F. Design and Synthesis of Homogeneous Azeotropic Distillations. 1. Problem Formulation for a Single Column. Ind. Eng. Chem. Fundam. 1985, 24, 454.
6. Levy, S. G.; Van Dongen, D. B.; Doherty, M. F. Design and Synthesis of Homogeneous Azeotropic Distilations. 2. Minimum Reflux Calculations for Nonideal and Azeotripic Columns. Ind. Eng. Chem. Fundam. 1985, 24, 463.
7. Julka, V.; Doherty, M. F. Geometric Behavior and Minimum Flows for Nonideal Multicomponent Distillation. Chem. Eng. Sci. 1990, 45, 1801.
8. Julka, V.; Doherty, M. F. Geometric Nonlinear Analysis of Multicomponent Nonideal Distillation: Simple Computer-Aided Design Procedure. Chem. Eng. Sci. 1993, 48, 1367.
9. Bausa, J.; Watzdorf, R. V.; Marquardt, W. Shortcut Methods for Nonideal Multicomponent Distillation: 1. Simple Columns. AIChE J. 1998, 44, 2181.
10. Koehler, J.; Aguirre, P.; Blass, E. Minimum Reflux Calculations for Nonideal Mixtures Using the Reversible Distillation Model. Chem. Eng. Sci. 1991, 46, 3007.
11. Cho, Y. S.; Joseph, B. Reduced-Order Steady-State and Dynamic Models for Separation Processes I. Development of the Model Reduction Procedure. AIChE J. 1983, 29, 261.
12. Cho, Y. S.; Joseph, B. Reduced-Order Steady-State and Dynamic Models for Separation Processes II. Application to Nonlinear Multicomponent Systems. AIChE J. 1983, 29, 270.
13. Cho, Y. S.; Joseph, B. Reduced-Order Steady-State and Dynamic Models for Separation Columns III: Application to Columns with Multiple Feeds and Sidestreams. Comput. Chem. Eng. 1984, 8, 81.
14. Srivastava, R. K.; Joseph, B. Simulation of Packed-Bed Separation Processes Using Orthogonal Collocation. Comput. Chem. Eng. 1984, 8, 43.
15. Srivastava, R. K.; Joseph, B. Reduced Order Models for Staged Separation Columns. V. Selection of Collocation Points. Comput. Chem. Eng. 1985, 9, 601.
16. Srivastava, R. K.; Joseph, B. Reduced Order Models for Staged Separation Columns. IV. Treatment of Columns with Multiple Feeds and Sidestreams via Spline Fitting. Comput. Chem. Eng. 1987, 11, 159.
17. Srivastava, R. K.; Joseph, B. Reduced Order Models for Staged Separation Columns. VI. Columns with Steep and Flat Composition Profiles. Comput. Chem. Eng. 1987, 11, 165.
18. Seferlis, P.; Hrymak, A. N. Optimization of Distillation Units Using Collocation Model. AIChE J. 1994, 40, 813.
19. Seferlis, P.; Hrymak, A. N. Adaptive Collocation of Finite Elements Models for the Optimization of Multi-Stage Distillation Unit. Chem. Eng. Sci. 1994, 49, 1369.
20. Stewart, W. E.; Levien, K. L.; Morari, M. Simulation of Fractionation by Orthogonal Collocation. Chem. Eng. Sci. 1985, 40, 409.
21. Swartz, C. L. E.; Stewart, W. E. A Collocation Approach to Distillation Column Design. AIChE J. 1986, 32, 1832.
22. Swartz, C. L. E.; Stewart, W. E. Finite-Element Steady-State Simulation of Multiphase Distillation. AIChE J. 1987, 33, 1977.
23. Cuthrell, J. E.; Biegler, L. T. On the Optimization of Differential, Algebraic Process Systems. AIChE J. 1987, 33, 1257.
24. Huss, R. S.; Westerberg, A. W. Collocation Methods for Distillation Design I: Model Description and Testing. Ind. Eng. Chem. Res. 1996, 35, 1603.
25. Huss, R. S.; Westerberg, A. W. Collocation Methods for Distillation Design II: Application for Distillation. Ind. Eng. Chem. Res. 1996, 35, 1611.
26. Chakraborty A.; Linninger, A. A. Plant-Wide Waste Management. 1. Synthesis and Multi-Objective Design. Ind. Eng. Chem. Res. 2002, 41, 4591.
27. Fidkowski, Z. T.; Doherty M. F.; Malone, M. F. Feasibility of Separations for Distillation of Nonideal Ternary Mixtures. AIChE J. 1993, 39, 1303.
28. Gani, R.; Bek-Petersen, E. Simple New Algorithm for Distillation Column Design. AIChE J. 2000, 46, 1271.
29. Doherty, M. F.; Malone, M. F. Conceptual Design of Distillation Systems; McGraw-Hill: New York, 2001.
30. Feehery, W. F. Dynamic Optimization with Path Constraints. Ph.D. Dissertation, MIT, Cambridge, MA, 1998.
31. Chowdhry, C.; Krendl, H.; Linninger, A. A. A Symbolic Numeric Index Analysis Algorithm for Differential Algebraic Equations Model Simplification for Dynamic Systems. Ind. Eng. Chem. Res., in press.
32. Biegler, L. T. Solution of Dynamic Optimization Problems by Successive Quadratic Programming and Orthogonal Collocation. Comput. Chem. Eng. 1984, 8, 243.
33. Cervantes, A.; Biegler, L. T. Large Scale DAE Optimization Using Simultaneous Nonlinear Programming Formulations. AIChE J. 1998, 44, 1038.
34. Renfro, J. G. Computational Studies in the Optimization of Systems Described by Differential Algebraic Equations. Ph.D. Dissertation, University of Houston, Houston, TX, 1986.
35. Villadsen, J. V.; Michelsen, M. L. Solution of Differential Equations by Polynomial Approximation; Prentice Hall: Upper Saddle River, NJ, 1978.
36. Fidkowski, Z. T.; Malone, M. F.; Doherty, M. F. Computing Azeotropes in Multicomponent Mixtures. Comput. Chem. Eng. 1993, 17, 1141.
37. Press, W. H.; Teukolsky, S. A.; Flannery, B. P. Numerical Recipes in C; Cambridge University Press: New York, 1995.
38. Linninger, A. A. Lecture Notes of Numerical Methods in Chemical Engineering; UIC-LPPD-090302; University of Illinois at Chicago: Chicago, IL, 2002.
39. Pernice, M.; Walker, H. F. NITSOL: A Newton Iterative Solver for Nonlinear Systems. SIAM J. Sci. Comput. 1998, 19, 302.
40. More, J. J.; Sorenson, D. C.; Garbow, B. S.; Hillstrom, K. E. The MINPACK Project. In Sources and Development of Mathematical Software; Wayne R. C., Ed.; Prentice Hall: Upper Saddle River, NJ, 1984; p 88.
41. Watson, L. T.; Billups, S. C.; Morgan, A. P. ALGORITHM 652: HOMPACK: A Suite of Codes for Globally Convergent Homotopy Algorithm. ACM TOMS 1987, 13, 281.
42. Schmid, C.; Biegler, L. T. Quadratic Programming Algorithms for Reduced Hessian SQP. Comput. Chem. Eng. 1994, 18, 817.
43. Biegler, L. T.; Grossmann I. E.; Westerberg A. W. Systematic Methods of Chemical Process Design; Prentice Hall: Upper Saddle River, NJ, 1997.
44. Mark, N. P.; Zhang, L.; Linninger, A. A. Robust and Reliable Column Design Method; REU Report UIC-LPPD-073003; University of Illinois at Chicago: Chicago, IL, 2003.
45. Linninger, A. A.; Zhang, L. The Solver Manual; UIC-LPPD-031003; University of Illinois at Chicago: Chicago, IL, 2003.
46. Tanartkit, P.; Biegler, L. T. Stable Decomposition for Dynamic Optimization. Ind. Eng. Chem. Res. 1995, 34, 1253.
47. Gmehling J.; Onken, U. Vapor-Liquid Equilibrium Data Collection; DECHEMA Chemistry Data Series; DECHEMA: Frankfurt, Germany, 1977.
48. Gregor, H.; Linninger, A. A. TD2000 Property Database; UIC-LPPD-081901; University of Illinois at Chicago: Chicago, IL, 2001.
49. Wahnschaft, O.; Koehler, J.; Blass, E.; Westerberg, A. The Product Composition Region of Single-Feed Azeotropic Distillation Columns. Ind. Eng. Chem. Res. 1992, 31, 2345.
50. Vassiliadis, V. Computational Solution of Dynamic Optimization Problems with General Differential-Algebraic Constraints. Ph.D. Dissertation, Imperial College, London, 1993.
51. McCalbe, W. L.; Thiele, E. W. Graphical Design of Fractionating Columns. Ind. Eng. Chem. 1925, 17, 605.
52. Ponchon, M. Graphical Study of Distillation. Technol. Mod. 1921, 13, 20.
53. Reyes, J. A.; Gomez, A.; Marcilla, A. Graphical Concepts to Orient the Minimum Reflux Ratio Calculation on Ternary Mixtures Distillation. Ind. Eng. Chem. Res. 2000, 39, 3912.
54. Colburn, A. P. The Calculation of Minimum Reflux Ratio in the Distillation of Multicomponent Mixtures. Trans. Am. Inst. Chem. Eng. 1941, 37, 805.
55. Gilliland, E. R. Multicomponent Rectification: Estimate of the Number of Theoretical Plates as a Function of the Reflux Ratio. Ind. Eng. Chem. 1940, 32, 1220.
56. Levy, S. G.; Doherty, M. F. A Simple Exact Method for Calculating Tangent Pinch Points in Multicomponent Nonideal Mixtures by Bifurcation Theory. Chem. Eng. Sci. 1986, 41, 3155.
57. Fidkowski, Z. T.; Doherty M. F.; Malone, M. F. Nonideal Multicomponent Distillation: Use of Bifurcation Theory for Design. AIChE J. 1991, 37, 1761.
58. Modi, A. K.; Westerberg, A. W. Distillation Column Sequencing Using Marginal Price. Ind. Eng. Chem. Eng. 1992, 31, 839.