LAPSE:2019.1594
Published Article
LAPSE:2019.1594
Optimal Design of Experiments for Liquid−Liquid Equilibria Characterization via Semidefinite Programming
December 13, 2019
Liquid−liquid equilibria (LLE) characterization is a task requiring considerable work and appreciable financial resources. Notable savings in time and effort can be achieved when the experimental plans use the methods of the optimal design of experiments that maximize the information obtained. To achieve this goal, a systematic optimization formulation based on Semidefinite Programming is proposed for finding optimal experimental designs for LLE studies carried out at constant pressure and temperature. The non-random two-liquid (NRTL) model is employed to represent species equilibria in both phases. This model, combined with mass balance relationships, provides a means of computing the sensitivities of the measurements to the parameters. To design the experiment, these sensitivities are calculated for a grid of candidate experiments in which initial mixture compositions are varied. The optimal design is found by maximizing criteria based on the Fisher Information Matrix (FIM). Three optimality criteria (D-, A- and E-optimal) are exemplified. The approach is demonstrated for two ternary systems where different sets of parameters are to be estimated.
Keywords
approximate designs, liquid–liquid equilibria, optimal design of experiments, semidefinite programming, ternary systems
Suggested Citation
Duarte BP, Atkinson AC, Granjo JF, Oliveira NM. Optimal Design of Experiments for Liquid−Liquid Equilibria Characterization via Semidefinite Programming. (2019). LAPSE:2019.1594
Author Affiliations
Duarte BP: Department of Chemical and Biological Engineering, ISEC, Polytechnic Institute of Coimbra, Rua Pedro Nunes, Quinta da Nora, 3030−199 Coimbra, Portugal; CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sílvio Lima, Pólo II, 3030 [ORCID]
Atkinson AC: Department of Statistics, London School of Economics, London WC2A 2AE, UK
Granjo JF: CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sílvio Lima, Pólo II, 3030−790 Coimbra, Portugal [ORCID]
Oliveira NM: CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sílvio Lima, Pólo II, 3030−790 Coimbra, Portugal [ORCID]
Journal Name
Processes
Volume
7
Issue
11
Article Number
E834
Year
2019
Publication Date
2019-11-08
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr7110834, Publication Type: Journal Article
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LAPSE:2019.1594
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doi:10.3390/pr7110834
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Dec 13, 2019
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Calvin Tsay
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