From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach

Kong, Lingxun; Maravelias, Christos T.

doi:10.1002/aic.16731

Title: From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach

Abstract

We propose a mixed-integer nonlinear programming (MINLP) model for simple and complex distillation column design and optimization. The model is based upon the concepts and equations underpinning the McCabe-Thiele method. Generalizing this method, we introduce material balances at various locations of the column and employ binary variables to determine the optimal number of trays and optimal feed locations. We model the vapor–liquid equilibrium using continuous piecewise linear approximating functions. The model is extended to account for multicomponent mixtures and non-constant-molar overflow. We also discuss how to estimate the minimum number of trays and the minimum reflux ratio.

Authors:

^[1];

^[1]

Univ. of Wisconsin, Madison, WI (United States)

Publication Date:: Fri Jul 26 00:00:00 EDT 2019

Research Org.:: Great Lakes Bioenergy Research Center (GLBRC), Madison, WI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Biological and Environmental Research (BER)

OSTI Identifier:: 1637472

Grant/Contract Number:: SC0018409

Resource Type:: Accepted Manuscript

Journal Name:: AIChE Journal

Additional Journal Information:: Journal Volume: 65; Journal Issue: 11; Journal ID: ISSN 0001-1541

Publisher:: American Institute of Chemical Engineers

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING

Citation Formats


                    Kong, Lingxun, and Maravelias, Christos T. From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach.  United States: N. p., 2019. 
Web.  doi:10.1002/aic.16731.

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                    Kong, Lingxun, & Maravelias, Christos T. From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach.  United States.  https://doi.org/10.1002/aic.16731

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                    Kong, Lingxun, and Maravelias, Christos T. Fri .  
"From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach".  United States.  https://doi.org/10.1002/aic.16731.  https://www.osti.gov/servlets/purl/1637472.

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@article{osti_1637472,

  title        = {From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach},

  author       = {Kong, Lingxun and Maravelias, Christos T.},

  abstractNote = {We propose a mixed-integer nonlinear programming (MINLP) model for simple and complex distillation column design and optimization. The model is based upon the concepts and equations underpinning the McCabe-Thiele method. Generalizing this method, we introduce material balances at various locations of the column and employ binary variables to determine the optimal number of trays and optimal feed locations. We model the vapor–liquid equilibrium using continuous piecewise linear approximating functions. The model is extended to account for multicomponent mixtures and non-constant-molar overflow. We also discuss how to estimate the minimum number of trays and the minimum reflux ratio.},

  doi          = {10.1002/aic.16731},

  journal      = {AIChE Journal},

  number       = 11,

  volume       = 65,

  place        = {United States},

  year         = {Fri Jul 26 00:00:00 EDT 2019},

  month        = {Fri Jul 26 00:00:00 EDT 2019}

}

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https://doi.org/10.1002/aic.16731

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Cited by: 10 works

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Figure 1: (A) A simple distillation column for separating a binary mixture; (B) a typical McCabe-Thiele diagram.

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Works referenced in this record:

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DOI: 10.1184/r1/6467531

Works referencing / citing this record:

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Similar Records

Title: From graphical to model-based distillation column design: A McCabe-Thiele-inspired mathematical programming approach

Abstract

Citation Formats

Figures / Tables:

Design and synthesis of homogeneous azeotropic distillations. 2. Minimum reflux calculations for nonideal and azeotropic columns journal, November 1985

Shortcut Design of Fully Thermally Coupled Distillation Systems with Postfractionator journal, May 2011

A matrix method for multicomponent distillation sequences journal, November 2009

A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences journal, June 1988

A synthesis method for multicomponent distillation sequences with fewer columns journal, September 2011

Shortcut methods for nonideal multicomponent distillation: I. Simple columns journal, October 1998

Composition of Straight-Run Pennsylvania Gasoline journal, April 1932

Separation of butanol from acetone–butanol–ethanol fermentation by a hybrid extraction–distillation process journal, May 2011

Graphical and stage-to-stage methods for reactive distillation column design journal, November 2003

Shortcut methods for nonideal multicomponent distillation: 2. Complex columns journal, August 1999

An MILP formulation for heat-integrated distillation sequence synthesis journal, September 1985

The Efficiency and Capacity of Fractionating Columns journal, June 1922

Optimal feed locations and number of trays for distillation columns with multiple feeds journal, November 1993

Rigorous Design of Distillation Columns: Integration of Disjunctive Programming and Process Simulators journal, August 2005

Shortcut design of reactive distillation columns journal, March 2012

Synthesis of complex thermally coupled distillation systems including divided wall columns journal, September 2012

Fractional Distillation of Multicomponent Mixtures journal, December 1949

Design and economic optimization of azeotropic distillation processes using mixed-integer nonlinear programming journal, August 1998

A Simple Graphical Method of Calculating the Number of Plates Required for a Distilling Column journal, November 1922

Optimal Design of Complex Distillation Columns Using Rigorous Tray-by-Tray Disjunctive Programming Models journal, November 2000

Optimum design of Petlyuk and divided-wall distillation systems using a shortcut model journal, October 2010

Rectifying Column Calculations. journal, July 1925

A systematic modeling framework of superstructure optimization in process synthesis journal, June 1999

A Review on Minimum Energy Calculations for Ideal and Nonideal Distillations journal, April 1995

Synthesis of heat-integrated distillation sequence systems journal, July 2012

Structural Considerations and Modeling in the Synthesis of Heat-Integrated−Thermally Coupled Distillation Sequences journal, December 2006

Extended Ponchon−Savarit Method for Graphically Analyzing and Designing Internally Heat-Integrated Distillation Columns journal, January 2010

Simultaneous optimization and heat integration of chemical processes journal, January 1986

Optimal Design of Thermally Coupled Distillation Columns journal, January 1999

Graphical Design of Fractionating Columns journal, June 1925

Optimal synthesis of complex distillation columns using rigorous models journal, May 2005

Recent Developments and Challenges in Optimization-Based Process Synthesis journal, June 2017

A rigorous disjunctive optimization model for simultaneous flowsheet optimization and heat integration journal, March 1998

Generalized modular representation framework for process synthesis journal, April 1996

Shortcut-based optimization of distillation-based processes by a novel reformulation of the feed angle method journal, April 2018

A polyhedral branch-and-cut approach to global optimization journal, May 2005

On the derivation and extension of the uniquac equation journal, January 1978

Fitting piecewise linear continuous functions journal, May 2012

Methanol-Ethanol-Acetone journal, January 1956

Disjunctive model for the simultaneous optimization and heat integration with unclassified streams and area estimation journal, January 2018

IDEAS approach to process network synthesis: minimum utility cost for complex distillation networks journal, August 2002

Synthesis of general distillation sequences—nonsharp separations journal, June 1990

Graphical methods for reaction distribution in a reactive distillation column journal, June 2000

A graphical method for designing reactive distillation columns. I. The Ponchon-Savarit method journal, August 2000

A review of process synthesis journal, May 1981

Multicomponent Rectification Estimation of the Number of Theoretical Plates as a Function of the Reflux Ratio journal, September 1940

Design of reaction/separation networks using detailed models journal, June 1995

Mass/heat-exchange network representation of distillation networks journal, November 1992

Group-contribution estimation of activity coefficients in nonideal liquid mixtures journal, November 1975

Approximate design of multiple-feed/side-stream distillation systems journal, September 1987

An Optimization-Based Approach for Simultaneous Chemical Process and Heat Exchanger Network Synthesis journal, April 2018

ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations journal, March 2014

A superstructure-based framework for simultaneous process synthesis, heat integration, and utility plant design journal, August 2016

Shortcut procedure for simulating batch distillation operations journal, March 1993

Design of sidestream distillation columns journal, July 1985

Simultaneous Utility and Heat Exchanger Area Targeting for Integrated Process Synthesis and Heat Integration journal, October 2017

Equilibrium constants from a modified Redlich-Kwong equation of state journal, June 1972

Optimal design and synthesis of homogeneous azeotropic distillation sequences journal, May 1989

The Efficiency and Design of Rectifying Columns for Binary Mixtures journal, June 1922

Equilibria in Ethanol-Water System at Pressures Less Than Atmospheric journal, December 1942

Composition of Straight-Run Pennsylvania Gasoline journal, May 1932

Simultaneous optimization and heat integration of chemical processes text, January 1984

Synthesis of complex thermally coupled distillation systems including divided wall columns text, January 2018

Optimization of a saturated gas plant: Meticulous simulation-based optimization – A case study journal, March 2020

Design and synthesis of homogeneous azeotropic distillations. 2. Minimum reflux calculations for nonideal and azeotropic columns
journal, November 1985

Shortcut Design of Fully Thermally Coupled Distillation Systems with Postfractionator
journal, May 2011

A matrix method for multicomponent distillation sequences
journal, November 2009

A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences
journal, June 1988

A synthesis method for multicomponent distillation sequences with fewer columns
journal, September 2011

Shortcut methods for nonideal multicomponent distillation: I. Simple columns
journal, October 1998

Composition of Straight-Run Pennsylvania Gasoline
journal, April 1932

Separation of butanol from acetone–butanol–ethanol fermentation by a hybrid extraction–distillation process
journal, May 2011

Graphical and stage-to-stage methods for reactive distillation column design
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Shortcut methods for nonideal multicomponent distillation: 2. Complex columns
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An MILP formulation for heat-integrated distillation sequence synthesis
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The Efficiency and Capacity of Fractionating Columns
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Rigorous Design of Distillation Columns: Integration of Disjunctive Programming and Process Simulators
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Shortcut design of reactive distillation columns
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Synthesis of complex thermally coupled distillation systems including divided wall columns
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Optimal Design of Complex Distillation Columns Using Rigorous Tray-by-Tray Disjunctive Programming Models
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Rectifying Column Calculations.
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A systematic modeling framework of superstructure optimization in process synthesis
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A Review on Minimum Energy Calculations for Ideal and Nonideal Distillations
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Synthesis of heat-integrated distillation sequence systems
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Structural Considerations and Modeling in the Synthesis of Heat-Integrated−Thermally Coupled Distillation Sequences
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Extended Ponchon−Savarit Method for Graphically Analyzing and Designing Internally Heat-Integrated Distillation Columns
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Simultaneous optimization and heat integration of chemical processes
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Optimal Design of Thermally Coupled Distillation Columns
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Graphical Design of Fractionating Columns
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Optimal synthesis of complex distillation columns using rigorous models
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Recent Developments and Challenges in Optimization-Based Process Synthesis
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Generalized modular representation framework for process synthesis
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A polyhedral branch-and-cut approach to global optimization
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On the derivation and extension of the uniquac equation
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Fitting piecewise linear continuous functions
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Methanol-Ethanol-Acetone
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Disjunctive model for the simultaneous optimization and heat integration with unclassified streams and area estimation
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IDEAS approach to process network synthesis: minimum utility cost for complex distillation networks
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Synthesis of general distillation sequences—nonsharp separations
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Graphical methods for reaction distribution in a reactive distillation column
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A graphical method for designing reactive distillation columns. I. The Ponchon-Savarit method
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A review of process synthesis
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Multicomponent Rectification Estimation of the Number of Theoretical Plates as a Function of the Reflux Ratio
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Design of reaction/separation networks using detailed models
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Mass/heat-exchange network representation of distillation networks
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Group-contribution estimation of activity coefficients in nonideal liquid mixtures
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Approximate design of multiple-feed/side-stream distillation systems
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An Optimization-Based Approach for Simultaneous Chemical Process and Heat Exchanger Network Synthesis
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ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations
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A superstructure-based framework for simultaneous process synthesis, heat integration, and utility plant design
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Shortcut procedure for simulating batch distillation operations
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Design of sidestream distillation columns
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Simultaneous Utility and Heat Exchanger Area Targeting for Integrated Process Synthesis and Heat Integration
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Equilibrium constants from a modified Redlich-Kwong equation of state
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Optimal design and synthesis of homogeneous azeotropic distillation sequences
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The Efficiency and Design of Rectifying Columns for Binary Mixtures
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Equilibria in Ethanol-Water System at Pressures Less Than Atmospheric
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Composition of Straight-Run Pennsylvania Gasoline
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Simultaneous optimization and heat integration of chemical processes
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Synthesis of complex thermally coupled distillation systems including divided wall columns
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Optimization of a saturated gas plant: Meticulous simulation-based optimization – A case study
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