Interaction parameter estimation in liquid–liquid phase equilibrium modeling using stochastic and hybrid algorithms

Kabouche, A.; Boultif, Ayache; Abidi, Abdenabi; Gherraf, N.

doi:10.1016/j.fluid.2012.09.002

Cited by 12 publications

(7 citation statements)

References 23 publications

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“…In this study, the performance of FPA and MFPA has been tested with and without the application of closure equations [22] including its effect on results of LLE parameter estimation using an unconstrained problem formulation. The closure equation describes a linear relationship between the binary interaction parameters of local composition models for multicomponent mixtures and it is given by 12Therefore, these closure equations can be written as follows for ternary systems [8,9,22,23] (13)…”

Section: Optimization Problem For the Parameter Identification In Nrtmentioning

confidence: 99%

Parameter Identification in Liquid-Liquid Equilibrium Modeling of Food-Related Thermodynamic Systems Using Flower Pollination Algorithms

Merzougui¹,

Labed²,

Hasseine³

et al. 2016

TOCENGJ

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In this paper, the liquid–liquid equilibrium of twenty two ternary and quaternary systems relevant for food industry was modeled using the NRTL and UNIQUAC equations and the Flower Pollination Algorithm (FPA). FPA is an emerging nature-inspired stochastic global optimization method and it has been used for LLE parameter identification of local composition models in multicomponent mixtures. FPA and its modified version (MFPA) were assessed for solving LLE parameter estimation problems in several systems relevant for food industry. Thenumerical performance of these stochastic methods has been analyzed at different numerical scenarios with and without the application of closure equations. Results showed that MFPA outperformed FPA and other metaheuristics (e.g., Simulated Annealing, Genetic Algorithm and Harmony Search) for LLE parameter identification in local compositions models. MFPA with closure equations is a reliable approach for determining the best interaction parameter of NRTL and UNIQUAC models in the LLE data processing of food-related thermodynamic systems.

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Section: Optimization Problem For the Parameter Identification In Nrtmentioning

confidence: 99%

Parameter Identification in Liquid-Liquid Equilibrium Modeling of Food-Related Thermodynamic Systems Using Flower Pollination Algorithms

Merzougui¹,

Labed²,

Hasseine³

et al. 2016

TOCENGJ

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“…The present method advocated is a first step toward the development of a general solver that will be designed to tackle a very large number of problems in chemical engineering such as experimental data regression with the view to derive thermodynamic models’ parameters to best-fit experimental data, determination of homogeneous and heterogeneous azeotropes, and analysis of thermodynamic stability for chemically reacting systems, to name just a few. ,, …”

Section: Concluding Remarks and Future Developmentsmentioning

confidence: 99%

Phase Stability Analysis with Equations of State—A Fresh Look from a Different Perspective

Ivanov

Galushko

Stateva

2013

Ind. Eng. Chem. Res.

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The paper introduces a novel approach to the solution of the phase stability problem under constant temperature and pressure with equations of state (EoSs) as the thermodynamic model. An effective strategy that is designed to consecutively transform the tangent-plane distance function (hyper)surface and guarantees a nonrepetitive determination of all its stationary points is interwoven within the method's paradigm. The performance profile, efficiency, and effectiveness of the method are illustrated on fifteen systems, which comprise as many as 12 components and are at a wide range of temperature and pressure conditions. The new approach is a first step toward the development of a general solver that can be used with a complete guarantee not only in phase equilibria modeling and calculations but in problems requiring the determination of all minima (maxima) of multimodal functions as well.

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“…Binary interaction parameters A ij for the NRTL and UNIQUAC equation are regressed by the hybrid particle swarm optimization (HPSO), 15 based on the Nelder Mead Simplex Method (ISM) 16 and particle swarm optimization (PSO). 17 The objective function (OF) in the following equation is employed during the parameter estimation algorithm.…”

Section: ■ Results and Discussionmentioning

confidence: 99%

“…Binary interaction parameters A ij for the NRTL and UNIQUAC equation are regressed by the hybrid particle swarm optimization (HPSO), based on the Nelder Mead Simplex Method (ISM) and particle swarm optimization (PSO) . The objective function (OF) in the following equation is employed during the parameter estimation algorithm. OF = prefix∑ k = 1 italicm ∑ j = 1 np ∑ i = 1 nc ( x̂ i j k − x i j k ) 2 where, x̂ ijk and x ijk represent experimental and calculated mole fraction of component i in the phase j for the tie line k , respectively; m , np, and nc, are the number of tie line, phase, and component, respectively.…”

Section: Resultsmentioning

confidence: 99%

Liquid–Liquid Equilibria for the System Water + 1,3-Dichloro-2-propanol + Epichlorohydrin from (283.2 to 303.2) K

et al. 2013

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Liquid−liquid equilibrium data for the ternary system of water + 1,3-dichloro-2-propanol + epichlorohydrin were determined at the temperature of (283.15, 293.15, 303.15) K and atmosphere pressure. The reliability of experimental method was examined by the mass balance verification and the Othmer−Tobias equation. The experimental data were successfully correlated with both the NRTL model and UNIQUAC model, and the NRTL model presents more satisfactory result. These LLE data and model parameters obtained in this work are helpful for understanding, designing, and developing epichlorohydrin synthesis processes.

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Interaction parameter estimation in liquid–liquid phase equilibrium modeling using stochastic and hybrid algorithms

Cited by 12 publications

References 23 publications

Parameter Identification in Liquid-Liquid Equilibrium Modeling of Food-Related Thermodynamic Systems Using Flower Pollination Algorithms

Parameter Identification in Liquid-Liquid Equilibrium Modeling of Food-Related Thermodynamic Systems Using Flower Pollination Algorithms

Phase Stability Analysis with Equations of State—A Fresh Look from a Different Perspective

Liquid–Liquid Equilibria for the System Water + 1,3-Dichloro-2-propanol + Epichlorohydrin from (283.2 to 303.2) K

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