MINLP optimization of a heterogeneous azeotropic distillation process: Separation of ethanol and water with cyclohexane as an entrainer

Abstract Heterogeneous distillation processes are widely used in industry for the separation of azeotropic and close-boiling mixtures. This paper addresses the optimization of a heterogeneous distillation process for the separation of an azeotropic ethanol/water mixture using cyclohexane as an entrainer. Starting from a given process superstructure a MINLP problem is set up to consider continuous as well as discrete decision variables such as the feed locations and the number of stages of the distillation columns. A modified Generalized Benders Decomposition algorithm to account for non-convexities of the model equations solves the MINLP problem. The algorithm can be attached via Visual Basic for Applications (VBA) to any commercial process simulator with NLP and VBA capabilities. Various optimization runs show that the algorithm is easily applicable and returns solutions independent of the initial values.

[1]  S. Wasylkiewicz Advances in synthesis of azeotropic distillation column sequences: internal secondary recycles , 2008 .

[2]  Michael F. Doherty,et al.  Design and synthesis of homogeneous azeotropic distillations. 2. Minimum reflux calculations for nonideal and azeotropic columns , 1985 .

[3]  Wolfgang Marquardt,et al.  Shortcut-based design of multicomponent heteroazeotropic distillation , 2011 .

[4]  Andrzej Górak,et al.  Auslegung und Optimierung von hybriden Trennverfahren , 2004 .

[5]  Serge Domenech,et al.  Separation sequence synthesis how to use simulated annealing procedure , 1993 .

[6]  A. Górak,et al.  Deterministic global optimization in conceptual process design of distillation and melt crystallization , 2016 .

[7]  Wolfgang Marquardt,et al.  Shortcut Design Methods for Hybrid Membrane/Distillation Processes for the Separation of Nonideal Multicomponent Mixtures , 2000 .

[8]  A. Underwood,et al.  Fractional Distillation of Multicomponent Mixtures , 1949 .

[9]  J. Stichlmair,et al.  Separation regions and processes of zeotropic and azeotropic ternary distillation , 1992 .

[10]  Christodoulos A. Floudas,et al.  Global optimization of MINLP problems in Process Synthesis and Design , 1997 .

[11]  Wolfgang Marquardt,et al.  A Framework for the Systematic Design of Hybrid Separation Processes * * Supported by the Deutsche F , 2008 .

[12]  E. R. Gilliland,et al.  Multicomponent Rectification Estimation of the Number of Theoretical Plates as a Function of the Reflux Ratio , 1940 .

[13]  M. R. Fenske,et al.  Fractionation of Straight-Run Pennsylvania Gasoline , 1932 .

[14]  Jochen Strube,et al.  Design and optimization of a hybrid distillation/melt crystallization process , 2008 .

[15]  Johann Stichlmair,et al.  Minimum reflux and minimum reboil in ternary distillation , 1993 .

[16]  Peter Roosen,et al.  Total process optimization in chemical engineering with evolutionary algorithms , 1998 .

[17]  Arthur W. Westerberg,et al.  SPLIT : a separation process designer , 1991 .

[18]  Zhigang Lei,et al.  Extractive Distillation: A Review , 2003 .

[19]  I. Grossmann,et al.  Logic-based MINLP algorithms for the optimal synthesis of process networks , 1996 .

[20]  A. M. Geoffrion Generalized Benders decomposition , 1972 .

[21]  N. Sahinidis,et al.  Global optimization of nonconvex NLPs and MINLPs with applications in process design , 1995 .

[22]  Ignacio E. Grossmann,et al.  An outer-approximation algorithm for a class of mixed-integer nonlinear programs , 1986, Math. Program..

[23]  William L. Luyben,et al.  Control of a multiunit heterogeneous azeotropic distillation process , 2006 .

[24]  Alicia Font,et al.  Isobaric vapor–liquid and vapor–liquid–liquid equilibrium data for the system water + ethanol + cyclohexane , 2005 .

[25]  Andrew J. Mason,et al.  OpenSolver - An Open Source Add-in to Solve Linear and Integer Progammes in Excel , 2011, OR.

[26]  Wolfgang Marquardt,et al.  Dynamic multiple-phase flash simulation: Global stability analysis versus quick phase determination , 1997 .

[27]  Jens-Uwe Repke,et al.  Optimization based methods for the conceptual design of separation processes for azeotropic mixtures , 2015 .

[28]  Wolfgang Marquardt,et al.  Analysis and Conceptual Design of Ternary Heterogeneous Azeotropic Distillation Processes , 2002 .

[29]  Y. Uosaki,et al.  (Liquid + liquid) equilibria of (water + ethanol + cyclohexane) at the temperatures 298.15 K and 323.15 K , 1991 .

[30]  Andreas Fried,et al.  Beratungssystem für die Trennung engsiedender und azeotroper Gemische , 1991 .

[31]  Sebastian Engell,et al.  Design of memetic algorithms for the efficient optimization of chemical process synthesis problems with structural restrictions , 2015, Comput. Chem. Eng..

[32]  Wolfgang Marquardt,et al.  Efficient optimization-based design for the separation of heterogeneous azeotropic mixtures , 2015, Comput. Chem. Eng..

[33]  Iiro Harjunkoski,et al.  An extended cutting plane method for a class of non-convex MINLP problems , 1998 .

[34]  José Antonio Caballero,et al.  Logic hybrid simulation-optimization algorithm for distillation design , 2015, Comput. Chem. Eng..

[35]  Ignacio E. Grossmann,et al.  Optimal feed locations and number of trays for distillation columns with multiple feeds , 1993 .

[36]  Omprakash K. Gupta,et al.  Branch and Bound Experiments in Convex Nonlinear Integer Programming , 1985 .

[37]  J. Stichlmair,et al.  Synthesis and optimization of distillation sequences for the separation of azeotropic mixtures , 1995 .

[38]  Michael F. Malone,et al.  Conceptual design of distillation systems , 2001 .

[39]  James R. Fair,et al.  Separation system synthesis: a knowledge-based approach. 1. Liquid mixture separations , 1990 .

[40]  Paul I. Barton,et al.  Nonconvex Generalized Benders Decomposition with Piecewise Convex Relaxations for Global Optimization of Integrated Process Design and Operation Problems , 2012 .

[41]  W. Marquardt,et al.  Efficient Optimization-Based Design of Distillation Columns for Homogenous Azeotropic Mixtures , 2006 .

[42]  Ignacio E. Grossmann,et al.  An alternate MINLP model for finding the number of trays required for a specified separation objective , 1993 .

[44]  B. V. Babu,et al.  Modified differential evolution (MDE) for optimization of non-linear chemical processes , 2006, Comput. Chem. Eng..

[45]  Nikolaos V. Sahinidis,et al.  A polyhedral branch-and-cut approach to global optimization , 2005, Math. Program..

[46]  Wolfgang Marquardt,et al.  Experimental Verification of Multiple Steady States in Heterogeneous Azeotropic Distillation , 1997 .