The use of particle swarm optimization for dynamical analysis in chemical processes

Computers and Chemical Engineering

Volumn 26, Issue 12, 2002, Pages 1783-1793

  Ourique, Cláudia O ^a   Biscaia Jr , Evaristo C ^a   Pinto, José Carlos ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Bifurcation; Dynamical analysis; Oscillation; Particle swarm optimization

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; OPTIMIZATION; REFINING;

PARAMETER SPACES;

CHEMICAL ENGINEERING;

CHEMICAL ENGINEERING;

ALGORITHM; ARTICLE; CHEMICAL ENGINEERING; CHEMICAL INDUSTRY; CHEMICAL PROCEDURES; DYNAMICS; MATHEMATICAL ANALYSIS; MODEL; OSCILLATION; SIMULATION;

EID: 0037114409     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(02)00153-9     Document Type: Article

References (47)

1. Agrawal, P., Lee, C., Lim, H. C. & Ramkrishna, D. (1982). Theoretical investigations of dynamic behavior of isothermal continuous stirred tank biological reactors. Chemical and Engineering Sciences 37, 453-462.
2. Aluko, M. & Chang, H.-C. (1984). PEFLOQ: An algorithm for the bifurcation analysis of periodic solutions of autonomous systems. Computers and Chemical Engineering 8, 355-365.
3. Argyris, J., Faust, G. & Haase, M. (1994). An Exploration to Chaos, Texts on Computational Mechanics, Vol. VII (1st Ed., The Netherlands: North-Holland/Elsevier.
4. Aris, R. & Amundson, N. R. (1958). An analysis of chemical reactor stability and control-I. The possibility of local control with perfect or imperfect control mechanisms. Chemical and Engineering Sciences 7, 121-131.
5. Aris, R. & Amundson, N. R. (1958). An analysis of chemical reactor stability and control-II. The evolution of proportional control. Chemical and Engineering Sciences 7, 132-147.
6. Aris, R. & Amundson, N. R. (1958). An analysis of chemical reactor stability and control-II. The principles of programming reactor calculations. Some extensions. Chemical and Engineering Sciences 7, 148-155.
7. Ascher, U. M. & Petzold, L. R. (1998). Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. New York: SIAM.
8. Bilous, O. & Amundson, N. R. (1955). Chemical reactor stability and sensitivity. American Institute of Chemical Engineering Journal 1, 513-521.
9. Boyce, W. E. & Di Prima, R. C. (1992). Elementary Differential Equations and Boundary Value Problems (5th Ed., New York: Wiley.
10. Chang, M. & Schmitz, R. A. (1975). An experimental study of oscillatory states in a stirred reactor. Chemical and Engineering Sciences 30, 21-34.
11. Deuflhard, P., Fiedler, B. & Kunkel, P. (1987). Efficient numerical path-following beyond critical points. SIAM Journal of Numerical Analysis 24, 912-927.
12. Doedel, E. J. & Heinemann, R. F. (1983). Numerical computation of periodic solution branches and oscillatory dynamics of the stirred tank reactor with A → B → C reactions. Chemical and Engineering Sciences 38, 1493-1499.
13. Doedel, E. J., Wang, X. J., Fairgrieve, T. F., et al. (1997). AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations. Montreal: Concordia University.
14. Doherty, M. F. & Perkins, J. D. (1982). On the dynamics of distillation processes. 1. Uniqueness and stability of the steady-state in homogeneous continuous distillations. Chemical and Engineering Sciences 37, 381-392.
15. Freitas Filho, I. P., Biscaia, E. C., Jr & Pinto, J. C. (1994). Steady-state multiplicity in continuous bulk polymerization reactors - A generic approach. Chemical and Engineering Sciences 49, 3745-3755.
16. Feigembaum, M. J. (1978). Quantitative universality for a class of nonlinear transformations. Journal of Statistical Physics 19, 25-52.
17. Feigembaum, M. J. (1979). The universal metric properties of nonlinear transformations. Journal of Statistical Physics 21, 669-706.
18. Gurel, O. & Gurel, D. (1983). Types of oscillations in chemical-reactions. Topics in Current Chemistry 118, 1-73.
19. Gurel, O. & Gurel, D. (1983). Recent developments in chemical oscillations. Topics in Current Chemistry 118, 75-118.
20. Hoftyzer, P. J. & Zwietering, T. N. (1961). The characteristics of a homogenized reactor for the polymerization of the ethylene. Chemical and Engineering Sciences 12, 241-251.
21. Jaisinghani, R. & Ray, W. H. (1977). On the dynamic behavior of a class of homogeneous continuous stirred tank polymerization reactors. Chemical and Engineering Sciences 32, 822-825.
22. Jorgensen, D. V. & Aris, R. (1983). On the dynamics of a stirred tank with consecutive reactions. Chemical and Engineering Sciences 38, 45-53.
23. Kennedy, J. & E., Eberhart, R. (1995). Particle swarm optimization. In Proceedings of the 1995 IEEE International Conference on Neural Networks, Perth, Australia (pp. 1942-1948), vol. IV. Piscataway, NJ: IEEE Service Center.
24. Khibnik, A. I., Kuznetsov, Y. A., Levitin, V. V., et al. (1993). Continuation techniques and interactive software for bifurcation analysis of ODE's and iterated maps. Physica D 62, 360-371.
25. Kienle, A. & Marquardt, W. (1991). Bifurcation-analysis and steady-state multiplicity of multicomponent, nonequilibrium distillation processes. Chemical and Engineering Sciences 46, 1757-1769.
26. Kubicek, M. (1976). Algorithm 502 - Dependence of solution of nonlinear systems on a parameter. ACM Transactions on Mathematical Softwares 2, 98-107.
27. Melo, P. A., Sampaio, J. G., Biscaia, E. C., Jr & Pinto, J. C. (2001). Periodic oscillations in continuous free-radical solution polymerization reactors - A general approach. Chemical and Engineering Sciences 56 (11), 3469-3482.
28. Ourique, C. O. (2000). In: Métodos Alternativos para Análise Dinâmica em Processos Químicos, D.Sc. thesis, PEQ/COPPE, Universidade Federal do Rio de Janeiro: Rio de Janeiro (in Portuguese).
29. Ourique, C. O., Biscaia, E. C., Jr & Pinto, J. C. (2001). On the determination of periodic solutions using homotopy method. Latin American Applied Research 1, 71-78.
30. Petzold, L. R. (1989). DASSL: A Differential-Algebraic System Solver (1a Ed., Livermore: Computer and Mathematical Research Division, Lawrence Livermore National Laboratory.
31. Pinto, J. C. (1990). Dynamic behavior of continuous vinyl-chloride suspension polymerization reactors - A simple model analysis. Polymer and Engineering Sciences 30, 291-302.
32. Pinto, J. C. (1990). Dynamic behavior of continuous vinyl-chloride suspension polymerization reactors - Effects of segregation. Polymer and Engineering Sciences 30, 925-930.
33. Pinto, J. C. & Ray, W. H. (1995). The dynamic behavior of continuous polymerization reactors. VII. Experimental-study of a copolymerization reactor. Chemical and Engineering Sciences 50, 715-736.
34. Pinto, J. C. & Ray, W. H. (1995). The dynamic behavior of continuous polymerization reactors. VIII. A full bifurcation-analysis of a labscale copolymerization reactor. Chemical and Engineering Sciences 50, 1041-1056.
35. Pinto, J. C. & Ray, W. H. (1996). The dynamic behavior of continuous polymerization reactors - IX. Effects of inhibition. Chemical and Engineering Sciences 51, 63-79.
36. Poore, A. B. (1973). A model equation arising from chemical reactor theory. Archives of Rational Mechanisms 52, 358-388.
37. Prokopakis, G. J. & Seider, W. D. (1981). Azeotropic distillation towers with two liquid phases. In R. S. H. Mah & W. D. e Deiser (Eds.), Foundations of Computer Aided Chemical Process Design. New York: American Institute of Chemical Engineers.
38. Razón, L. F. & Schmitz, R. A. (1987). Multiplicities and instabilities in chemically reacting systems - A review. Chemical and Engineering Sciences 42, 1005-1047.
39. Ruelle, D. & Takens, F. (1971). On the nature of turbulence. Communications in Mathematical Physics 20, 167-192.
40. Seydel, R. (1979). Numerical computation of branch points in nonlinear equations. Numerical Mathematics 32, 17-29.
41. Seydel, R. (1979). Numerical computation of branch points in ordinary differential equations. Numerical Mathematics 32, 51-68.
42. Seydel, R. (1981). Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations. Applied Mathematics and Computers 9, 257-271.
43. Smith, C. B., Kuszta, B. K., Lyberatos, G. E., et al. (1983). Period doubling and complex dynamics in an isothermical chemical reaction system. Chemical and Engineering Sciences 38, 425-430.
44. Uppal, A., Ray, W. H. & Poore, A. B. (1974). On the dynamic behavior of continuous stirred tank reactors. Chemical and Engineering Sciences 29, 967-985.
45. Uppal, A., Ray, W. H. & Poore, A. B. (1976). The classification of the dynamic behavior of continuous stirred tank reactors - Influence of reactor residence time. Chemical and Engineering Sciences 31, 205-214.
46. Van Heerden, C. (1953). Autothermic process. Industrial and Engineering Chemistry 45, 1242-1247.
47. Viljoen, H. J., Gatica, J. E. & Hlavacek, V. (1990). Bifurcation-analysis of chemically driven convection. Chemical and Engineering Sciences 45, 503-517.