State estimation in batch crystallization using reduced population models

Journal of Process Control

Volumn 18, Issue 3-4, 2008, Pages 361-374

  Motz, S ^a   Mannal, S ^a   Gilles, E D ^a,b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

Author keywords

Integral approximation; Model of moments; Model reduction; Observer; Population balance; State estimation

Indexed keywords

COMPUTER SIMULATION; CRYSTALLIZATION; DIFFERENTIAL EQUATIONS;

BATCH CRYSTALLIZATION; INTEGRAL APPROXIMATION; MODEL REDUCTION;

STATE ESTIMATION;

EID: 40849145865     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2007.10.010     Document Type: Article

References (28)

1. J. Birk, Rechnergestützte Analyse und Lösung nichtlinearer Beobachtungsaufgaben, Ph.D. thesis, Universität Stuttgart, VDI-Fortschritt-Berichte 8/294, 1992.
2. Chang S.C. The method of space-time conservation element and solution element - A new approach for solving Navier-Stokes and Euler equations. Journal of computational Physics 119 (1995) 295-324
3. P. Deuflhard, A. Hohmann, Numerische Mathematik: Eine algorithmisch orientierte Einführung, de Gruyter, 1991.
4. Gahn C., and Mersmann A. Brittle fracture in crystallization processes - Part A and Part B. Chemical Engineering Science 54 (1999) 1273-1292
5. Gautschi W. On the construction of Gaussian quadrature rules from modified moments. Mathematics of Computation 24 110 (1970) 465-478
6. Gerstlauer A., Motz S., Mitrovic A., and Gilles E. Development, analysis and simulation of population models for continuous and batch crystallizers. Chemical Engineering Science 57 20 (2002) 4311-4327
7. Hulburt H.M., and Katz S. Some problems in particle technology - A statistical mechanical formulation. Chemical Engineering Science 19 (1964) 555-574
8. Kumar S., and Ramkrishna D. On the solution of population balance equations by discretization - I. A fixed pivot technique. Chemical Engineering Science 51 8 (1996) 1311-1332
9. Lanczos C. Applied Analysis (1956), Prentice Hall
10. Mangold M., Motz S., and Gilles E.D. A network theory for the structured modelling of chemical processes. Chemical Engineering Science 57 19 (2002) 4099-4116
11. Mayrhofer B., and Nyvlt J. Programmed cooling of batch crystallizers. Chemical Engineering and Processing 24 (1988) 217-220
12. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 27 (1997) 255-265
13. Mersmann A. Calculation of interfacial tensions. Journal of Crystal Growth 102 (1990) 841-847
14. Mersmann A., Angerhöfer M., Gutwald T., Sangl R., and Wang S. General prediction of median crystal sizes. Separations Technology 2 (1992) 85-97
15. S.M. Miller, Modelling and quality control strategies for batch cooling crystallizers, Ph.D. thesis, University of Texas at Austin, 1993.
16. S. Motz, Reduktion populationsdynamischer Modelle - Zur Analyse und Führung von Feststoffprozessen, Ph.D. thesis, Universität Stuttgart, 2004.
17. Motz S., Mannal S., and Gilles E.D. Integral approximation - an approach to reduced models for particulate processes. Chemical Engineering Science 59 (2004) 987-1000
18. Motz S., Mitrovic A., and Gilles E. Comparison of numerical methods for the simulation of dispersed phase systems. Chemical Engineering Science 57 (2002) 4329-4344
19. A.M. Neumann, Characterizing industrial crystallizers of different scale and type, Ph.D. thesis, TU Delft, 2001.
20. Press W.H., and Teukolsky S.A. Orthogonal polynomials and Gaussian quadrature with nonclassical weight functions. Computers in Physics 4 (1990) 423-426
21. Ramkrishna D. Population Balances, Theory and Application to Particulate Systems in Engineering (2000), Academic Press
22. Randolph A.D., and Larson M. Transient and steady state size distribution in continuous mixed suspension crystallizers. AIChE Journal 8 (1962) 639-645
23. Ray W.H. Advanced Process Control (1981), McGraw-Hill
24. Ruf A., Worlitschek J., and Mazzotti M. Modeling and experimental analysis of PSD measurements through FBRM. Particle and Particle Systems Characterization 17 (2000) 167-179
25. Sack R.A., and Donovan A.F. An algorithm for Gaussian quadrature given modified moments. Numerische Mathematik 18 (1972) 465-478
26. J. Schaffner, M. Zeitz, Entwurf nichtlinearer Beobachter, in: S. Engell (Ed.), Entwurf nichtlinearer Regelungen, Oldenburg 1995.
27. Schwarz H.R. Numerical analysis - a comprehensive introduction (1989), John Wiley and Sons
28. S. Wedner, Verifizierte Bestimmung singulärer Integrale - Quadratur und Kubatur, Ph.D. thesis, Universität Karlsruhe, 2000.