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Control of particle size distribution described by a population balance model of semibatch emulsion polymerization
Authors:Timothy J. Crowley   Edward S. Meadows   Evangelos Kostoulas  Francis J. Doyle III  
Affiliation:1. POLYMAT and Departamento de Química Aplicada, Facultad de Ciencias Químicas, University of the Basque Country UPV/EHU, Donostia-San Sebastian, Spain;2. Synthomer Sdn Bhd, 1 ½ Miles, Jalan Batu Pahat, 86000 Kluang, Johor, Malaysia;3. IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
Abstract:This work addresses the computation of surfactant feed profiles for shaping a particle size distribution to a bimodal target distribution. A fundamental population balance model of styrene semibatch emulsion polymerization is used in this control study. Both surfactant feed rate and free surfactant concentration are considered as alternative control variables and a comparison is made of the two approaches. A comparison is also made of several different objective function norms in the optimization. Results suggest that a min–max norm, tied to the distribution modes, is the most appropriate metric.
Keywords:Particle size distribution control   Population balance model   Horizon-based optimization   Nonlinear programming   Emulsion polymerization
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