A disjunctive programming approach for the optimal design of reactive distillation columns

Jackson, Jennifer R.; Grossmann, Ignacio E.

doi:10.1016/s0098-1354(01)00730-x

Cited by 102 publications

(67 citation statements)

References 21 publications

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“…Even with all these difficulties, complex problems have been successfully solved, for example Dunnebier and Pantelides solved complex sequences of thermally coupled distillation columns. The synthesis of azeotropic sequences has been addressed by Bauer and Stichlmair, or Barttfeld et al, and the reactive distillation was studied by Ciric and Gu, and Jackson and Grossmann; among others.…”

Section: Introductionmentioning

confidence: 99%

Rigorous design of distillation columns using surrogate models based on Kriging interpolation

2015

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The economic design of a distillation column or distillation sequences is a challenging problem that has been addressed by superstructure approaches. However, these methods have not been widely used because they lead to mixed-integer nonlinear programs that are hard to solve, and require complex initialization procedures. In this paper, we propose to address this challenging problem by substituting the distillation columns by kriging-based surrogate models generated via state of the art distillation models. We study different columns with increasing difficulty, and show that it is possible to get accurate kriging based surrogate models. The optimization strategy ensures that convergence to a local optimum is guaranteed for numerical noise-free models. For distillation columns (slightly noisy systems), Karush-Kuhn-Tucker optimality conditions cannot be tested directly on the actual model, but still we can guarantee a local minimum in a trust region of the surrogate model that contains the actual local minimum.Topical Heading: Process System Engineering.

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Section: Introductionmentioning

confidence: 99%

Rigorous design of distillation columns using surrogate models based on Kriging interpolation

2015

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“…Mass transfer on each equilibrium stage is modeled with the MESH equations, which include material balance, vapor-liquid equilibrium, mole fraction summation, and enthalpy balance constraints [35]. The gas-liquid equilibrium stage (No.…”

Section: Thermodynamics Simulationmentioning

confidence: 99%

Steady-state thermodynamic simulation and structural design of the dephlegmator used in mixed-refrigerant Joule-Thomson refrigerators

Gong

Guo

et al. 2016

Applied Thermal Engineering

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“…To solve the problem, they used the so called successive relaxed MINLP (SR-MINLP) proposed by Kraemer et al (2007), which reformulate the MINLP or GDP problems as pure continuous problems with tailored big-M constraints, where all discrete decisions are represented by continuous variables. The discrete decisions are enforced by non-convex constraints that force the continuous variables to take discrete values A c c e p t e d M a n u s c r i p t Even with all these difficulties, complex problems have been successfully solved, including reactive distillation (Ciric & Gu, 1994;Jackson & Grossmann, 2001); azeotropic sequences (Mariana Barttfeld et al, 2004;Bauer & Stichlmair, 1996, Thermally coupled distillation sequences (Dunnebier & Pantelides, 1999) or hybrid membrane/distillation systems (Kookos, 2003) among others.…”

Section: Overview Of Rigorous Tray By Tray Optimization Modelsmentioning

confidence: 99%

Logic hybrid simulation-optimization algorithm for distillation design

Caballero

2015

Computers & Chemical Engineering

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Please cite this article as: Caballero, J. A.,Logic hybrid simulation-optimization algorithm for distillation design., Computers and Chemical Engineering (2014), http://dx.doi.org/10. 1016/j.compchemeng.2014.03.016 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. ! ! We take advantage of the best of algebraic models and process simulators. AbstractIn this paper, we propose a novel algorithm for the rigorous design of distillation columns that integrates a process simulator in a generalized disjunctive programming formulation. The optimal distillation column, or column sequence, is obtained by selecting, for each column section, among a set of column sections with different number of theoretical trays. The selection of thermodynamic models, properties estimation etc., are all in the simulation environment. All the numerical issues related to the convergence of distillation columns (or column sections) are also maintained in the simulation environment. The model is formulated as a Generalized Disjunctive Programming (GDP) problem and solved using the logic based outer approximation algorithm without MINLP reformulation. Some examples involving from a single column to thermally coupled sequence or extractive distillation shows the performance of the new algorithm.

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A disjunctive programming approach for the optimal design of reactive distillation columns

Cited by 102 publications

References 21 publications

Rigorous design of distillation columns using surrogate models based on Kriging interpolation

Rigorous design of distillation columns using surrogate models based on Kriging interpolation

Steady-state thermodynamic simulation and structural design of the dephlegmator used in mixed-refrigerant Joule-Thomson refrigerators

Logic hybrid simulation-optimization algorithm for distillation design

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