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  Effect of the modeling approach on the quality of estimated kinetic parameters for a crystallization case study

Haida, H., Czapla, F., Elsner, M. P., Lorenz, H., & Seidel-Morgenstern, A. (2008). Effect of the modeling approach on the quality of estimated kinetic parameters for a crystallization case study. Poster presented at BIWIC 2008 - 15th International Workshop on Industrial Crystallization, Magdeburg, Germany.

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 Creators:
Haida, H.1, Author
Czapla, F.2, Author              
Elsner, M. P.2, Author              
Lorenz, H.2, Author              
Seidel-Morgenstern, A.2, 3, Author              
Affiliations:
1Otto-von-Guericke-Universität Magdeburg, Institut für Verfahrenstechnik, 39106 Magdeburg, Germany, ou_persistent22              
2Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738150              
3Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              

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 Abstract: This study compares three solution strategies of a chosen crystallization model by analyzing statistical properties of estimated model parameters. There are different approaches to solve crystallization models that are based on the concept of population balances. In this case study (i) a finite discretization of the population balance, (ii) the conventional method of moments and (iii) the quadrature method of moments as reduced model formulations [3] are compared. The used model incorporates the kinetics of crystal growth and secondary nucleation. To parameterize these kinetics four free parameters have to be estimated. Typically crystallization experiments are carried out and kinetic parameters are estimated for each of the mentioned model strategies by fitting the model to the gathered data. The statistical properties of the estimated parameters are used to compare the solutions strategies. Using L-Threonine in water as a model system isothermal seeded crystallization experiments are carried out in a stirred 1-L-vessel.By means of refractive index measurement and optical rotation measurement, respectively, the concentrations are monitored. The particulate phase is monitored using a Focused Beam Reflectance Measurement Probe (FBRM). The particle size distribution of the seed crystals is obtained by microscopic image analysis. Using the data from experiments carried out under different conditions a parameter estimation is done for each of the three mentioned strategies to solve the population balance model. In each case the estimated parameters are evaluated by means of their statistical properties, e.g. parameter sensitivity, confidence intervals and correlation coefficients gained from the Fisher Information Matrix [4]. Moreover an identifiability index is used to quantify the model evaluate [2, 1].

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Language(s): eng - English
 Dates: 2008
 Publication Status: Not specified
 Pages: -
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 Rev. Type: -
 Identifiers: eDoc: 366351
 Degree: -

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Title: BIWIC 2008 - 15th International Workshop on Industrial Crystallization
Place of Event: Magdeburg, Germany
Start-/End Date: 2008-09-10 - 2008-09-12

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