LAPSE:2021.0142
Published Article
LAPSE:2021.0142
Fed-Batch Sucrose Crystallization Model for the B Massecuite Vacuum Pan, Solution by Deterministic and Heuristic Methods
Paulo Eduardo de Morais Gonzales, Marcos Antônio de Souza Peloso Jr, José Eduardo Olivo, Cid Marcos Gonçalves Andrade
March 24, 2021
Fed-batch crystallization is a crucial step for sugar production. In order to relate parameters that are difficult to measure (average diameter of the crystals and total mass formed) to other easier to measure parameters (volume, temperature, and concentration), a model was developed for a B massecuite vacuum pan composed of mass and energy balances together with empirical relations that describe the crystal development inside equipment. The generated system of ordinary differential equations (ODE) had eight parameters which were adjusted through minimization of relative differences between the model results and experimental data. It was solved through the function fmincon, available in MATLABTM, which is a deterministic and gradient-based optimization method. The objective of this paper is to improve the model obtained and, for this purpose, two metaheuristic functions were used: genetic algorithm and particle swarm. To compare the results, the convergence time of each algorithm was used as well as the resulting quadratic deviation. The particle swarm method was the best option among the three used, presenting a shorter execution time and lower quadratic relative deviation.
Keywords
crystallization, deterministic method, fed-batch, metaheuristic method, Modelling, sucrose
Suggested Citation
Gonzales PEDM, de Souza Peloso MA Jr, Olivo JE, Andrade CMG. Fed-Batch Sucrose Crystallization Model for the B Massecuite Vacuum Pan, Solution by Deterministic and Heuristic Methods. (2021). LAPSE:2021.0142
Author Affiliations
Gonzales PEDM: Chemical Engineering Department, State University of Maringá, Colombo Av. 5790, Maringá 87020-900, Brazil [ORCID]
de Souza Peloso MA Jr: Chemical Engineering Department, State University of Maringá, Colombo Av. 5790, Maringá 87020-900, Brazil
Olivo JE: Chemical Engineering Department, State University of Maringá, Colombo Av. 5790, Maringá 87020-900, Brazil
Andrade CMG: Chemical Engineering Department, State University of Maringá, Colombo Av. 5790, Maringá 87020-900, Brazil [ORCID]
Journal Name
Processes
Volume
8
Issue
9
Article Number
E1145
Year
2020
Publication Date
2020-09-14
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr8091145, Publication Type: Journal Article
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LAPSE:2021.0142
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doi:10.3390/pr8091145
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Mar 24, 2021
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CC BY 4.0
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Mar 24, 2021
 
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Calvin Tsay
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