On the Feasibility and Reliability of Nonlinear Kinetic Parameter Estimation for a Multi-Component Photocatalytic Process

Linxiang Wang; Chang Nyung Kim

Korean Journal of Chemical Engineering, Vol.18, No.5, 652-661, September, 2001

Linxiang Wang, and Chang Nyung Kim^{1, †}

Industrial Liaison Research Institute, Kyung Hee University, Yongin 449-701, Korea
¹College of Mechanical & Industrial System Engineering, Kyung Hee University, Yongin 449-701, Korea

E-mail:

Nonlinear kinetic parameter estimation plays an essential role in kinetic study in reaction engineering. In the present study, the feasibility and reliability of the simultaneous parameter estimation problem is investigated for a multi-component photocatalytic process. The kinetic model is given by the L-H equation, and the estimation problem is solved by a hybrid genetic-simplex optimization method. Here, the genetic algorithm is applied to find out, roughly, the location of the global optimal point, and the simplex algorithm is subsequently adopted for accurate convergence. In applying this technique to a real system and analyzing its reliability, it is shown that this approach results in a reliable estimation for a rather wide range of parameter value, and that all parameters can be estimated simultaneously. Using this approach, one can estimate kinetic parameters for all components from data measured in only one time experiment.

Keywords:Photocatalytic Oxidation;Kinetic Model;Parameter Estimation;Nonlinear Optimization;Hybrid Method

[References]

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Kim IW, Liebman MJ, Edgar TF, AIChE J., 36, 985 (1990)
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Mehrvar M, Anderson WA, Moo-Young M, Reilly PM, Chem. Eng. Sci., 55(21), 4885 (2000)
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[1] Alberici RM, Jardim WE, Appl. Catal. B: Environ., 14(1-2), 55 (1997)

[2] Anpo M, Matsuoka M, Hano K, Mishima H, Ono T, Yamashita H, Korean J. Chem. Eng., 14(6), 498 (1997)

[3] Balland L, Estel E, Cosmao JM, Mouhab N, Chemometrics Intell. Lab. Syst., 50, 121 (2000)

[4] Belohlav Z, Zamostny P, Kluson P, Volf J, Can. J. Chem. Eng., 75(4), 735 (1997)

[5] Biegler LT, Damiano JJ, Blau GE, AIChE J., 32, 29 (1986)

[6] Chai YS, Lee JC, Kim BW, Korean J. Chem. Eng., 17(6), 633 (2000)

[7] Cheney W, Kincaid D, "Numerical Mathematics and Computing," Cole Publish Co., New York (1985)

[8] Farza M, Hammouri H, Othman S, Busawon K, Chem. Eng. Sci., 52(23), 4251 (1997)

[9] Fox MA, Dulay MT, Chem. Rev., 93, 341 (1993)

[10] Froment GF, Chem. Eng. Sci., 42, 1073 (1987)

[11] Gen M, Cheng RW, "Genetic Algorithms and Engineering Design," Wiley, New York (1997)

[12] Goldberg DE, "Genetic Algorithms in Search,Optimization and Machine Learning," Addison-Welsly, New York (1989)

[13] Herrmann JM, Catal. Today, 53(1), 115 (1999)

[14] Kim IW, Liebman MJ, Edgar TF, AIChE J., 36, 985 (1990)

[15] Levenspiel O, "Chemical Reaction Engineering," Wiley, New York (1972)

[16] Mehrvar M, Anderson WA, Moo-Young M, Reilly PM, Chem. Eng. Sci., 55(21), 4885 (2000)

[17] Michalewicz Z, "Genetic Algorithm+Data Structure=Evolution Programs (second edition)," Springer-Verlag, New York (1994)

[18] Oh SC, Sohn SH, Yeo YK, Chang KS, Korean J. Chem. Eng., 16(1), 144 (1999)

[19] Ollis DF, C.R. Acad. Sci. Paris. Se'rie IIc Chimie/Chem., 3, 405 (2000)

[20] Park TY, Froment GF, Comput. Chem. Eng., 22(S), 103 (1998)

[21] Press WH, Flnnery BP, Teukolsky SA, Vetterling WT, "Numerical Recipes," Cambridge University Press, New York (1986)

[22] Sirisuk A, Hill CG, Anderson MA, Catal. Today, 54(1), 159 (1999)

[23] Turchi CS, Rabago R, "Bench scale Testing of Photocatalytic Oxidation (PCO) to Destroy Volatile Organic Compound (VOC) Emissions," SEMATECH Technology Transfer Report #95042791A-ENG (1995)

[24] Turchi CS, Rabago R, Jassal A, "Destruction of Volatile Organic Compound (VOC) Emissions by Photocatalytic Oxidation (PCO): Field Test Results," SEMATECH Technology Transfer Report #96083084A-ENG (1996)

[25] Winston WL, "Introduction to Mathematical Programming: Application & Algorithm," PWS-Kent, Boston (1991)

[26] Wolf D, Moros R, Chem. Eng. Sci., 52(7), 1189 (1997)

[27] Wolfrum EJ, Rabago R, Jassal A, "Destruction of Volatile Organic Compound (VOC) Emissions by Photocatalytic Oxidation (PCO): Final Reports," SEMATECH Technology Transfer Report #97013236A-ENG (1997)