Synthesis of complex thermally coupled distillation systems including divided wall columns
Identifieur interne : 005C64 ( Main/Exploration ); précédent : 005C63; suivant : 005C65Synthesis of complex thermally coupled distillation systems including divided wall columns
Auteurs : José A. Caballero [Espagne] ; Ignacio E. Grossmann [États-Unis]Source :
- AIChE Journal [ 0001-1541 ] ; 2013-04.
Descripteurs français
- Wicri :
- topic : Distillation, Consommation d'énergie.
English descriptors
- KwdEn :
- Actual columns, Actual trays, Agrawal, Aiche, Aiche april, Aiche journal, Aiche journal april, Aiche journal figure, Aiche journal table, Algorithm, American institute, April, Best sequence, Best solution, Binary, Binary variables, Boolean, Boolean variables, Caballero, Capital costs, Chem, Chemical engineering, Classical column sequencing, Column section, Column sections, Column sequencing, Combinatorial complexity, Comp, Comparison parameter, Complex columns, Comput, Comput chem, Condenser, Connectivity equations, Constraint, Continuous variables, Conventional columns, Cooling water cost, Cost calculations, Designer preferences, Different sections, Disjunction, Disjunctive, Distillation, Distillation column, Distillation columns, Distillation research, Distillation sequences, Distillation systems, Dwcs, Energy balances, Energy consumption, Entire system, Environmental considerations, Equivalent alternatives, Exchanger, Extra degree, Factor sequence, Feasible sequences, Feed tray, Form part, Fractional distillation, Gam, Good solution, Grossmann, Heat exchanger, Heat exchangers, Heuristic algorithm, Horizontal partitions, I2comp, Index sets, Inner problem, Integer nonlinear programming problem, Intermediate product, Intermediate product state, Intermediate states, Internal heat exchanger, Internal heat exchangers, Internal states, Internal structure, Internal wall, Large number, Linear hydrocarbons, Liquid fraction, Liquid molar, Local solutions, Logical constraints, Logical equations, Logical relations, Logical relationships, Logical rules, Lower pressures, Mass balances, Mathematical programming framework, Minimum energy consumption, Minimum number, Minimum vapor, Model statistics, Molar, Multicomponent, Multicomponent distillation, Multicomponent mixtures, Nonlinear, Optimal solution, Optimization, Other words, Outer problem, Petlyuk, Petlyuk arrangements, Preliminary design, Process synthesis, Processor quad, Product stream, Product streams, Pure product, Reboiler, Reboilers, Relative volatility, Relevant data, Right hand side, Rigorous model, Same side, Same state, Same time, Search space, Second term, Separation processes, Separation task, Separation tasks, Sharp separation, Single column, Single condenser, Single contribution, Single reboiler, Single shell, Suboptimal solutions, Superstructure, Superstructure optimization, T2tss t2rects t2strips, Temperature heat diagrams, Theoretical point, Thermal couple, Thermal couples, Total condensers cost, Total cost, Total number, Total reboilers cost, Total steam cost, Total tray cost, Total vessels cost, Underwood, Underwood equations, Underwood root, Underwoods method, Vapor molar, Various reboilers condensers, Vertical partitions, Vertical vessel, Volatility, Wall columns, Zeotropic mixtures.
- Teeft :
- Actual columns, Actual trays, Agrawal, Aiche, Aiche april, Aiche journal, Aiche journal april, Aiche journal figure, Aiche journal table, Algorithm, American institute, April, Best sequence, Best solution, Binary, Binary variables, Boolean, Boolean variables, Caballero, Capital costs, Chem, Chemical engineering, Classical column sequencing, Column section, Column sections, Column sequencing, Combinatorial complexity, Comp, Comparison parameter, Complex columns, Comput, Comput chem, Condenser, Connectivity equations, Constraint, Continuous variables, Conventional columns, Cooling water cost, Cost calculations, Designer preferences, Different sections, Disjunction, Disjunctive, Distillation, Distillation column, Distillation columns, Distillation research, Distillation sequences, Distillation systems, Dwcs, Energy balances, Energy consumption, Entire system, Environmental considerations, Equivalent alternatives, Exchanger, Extra degree, Factor sequence, Feasible sequences, Feed tray, Form part, Fractional distillation, Gam, Good solution, Grossmann, Heat exchanger, Heat exchangers, Heuristic algorithm, Horizontal partitions, I2comp, Index sets, Inner problem, Integer nonlinear programming problem, Intermediate product, Intermediate product state, Intermediate states, Internal heat exchanger, Internal heat exchangers, Internal states, Internal structure, Internal wall, Large number, Linear hydrocarbons, Liquid fraction, Liquid molar, Local solutions, Logical constraints, Logical equations, Logical relations, Logical relationships, Logical rules, Lower pressures, Mass balances, Mathematical programming framework, Minimum energy consumption, Minimum number, Minimum vapor, Model statistics, Molar, Multicomponent, Multicomponent distillation, Multicomponent mixtures, Nonlinear, Optimal solution, Optimization, Other words, Outer problem, Petlyuk, Petlyuk arrangements, Preliminary design, Process synthesis, Processor quad, Product stream, Product streams, Pure product, Reboiler, Reboilers, Relative volatility, Relevant data, Right hand side, Rigorous model, Same side, Same state, Same time, Search space, Second term, Separation processes, Separation task, Separation tasks, Sharp separation, Single column, Single condenser, Single contribution, Single reboiler, Single shell, Suboptimal solutions, Superstructure, Superstructure optimization, T2tss t2rects t2strips, Temperature heat diagrams, Theoretical point, Thermal couple, Thermal couples, Total condensers cost, Total cost, Total number, Total reboilers cost, Total steam cost, Total tray cost, Total vessels cost, Underwood, Underwood equations, Underwood root, Underwoods method, Vapor molar, Various reboilers condensers, Vertical partitions, Vertical vessel, Volatility, Wall columns, Zeotropic mixtures.
Abstract
The design of thermally coupled distillation sequences explicitly including the possibility of divided wall columns (DWC) is described. A DWC with a single wall can be considered thermodynamically equivalent to a fully thermally coupled (FTC) subsystem formed by three separation tasks (a Petlyuk configuration in the case of three‐component mixtures). It is shown how to systematically identify all the sequences of separation tasks that can produce configurations that include at least a DWC. Feasible sequences that explicitly include DWCs are enforced through a set of logical relationships in terms of Boolean variables. These logical relationships include as feasible alternatives from conventional columns (each column must have a condenser and a reboiler) to FTC systems (only one reboiler and one condenser in the entire system). A comprehensive disjunctive programming formulation for finding the optimal solution is presented. The model is based on the Fenske, Underwood Gilliland equations. However, the disjunctive formulation allows easily the use of any other shortcut, aggregated or even rigorous model without modifying much the structure of the model. Two illustrative examples illustrate the procedure. © 2012 American Institute of Chemical Engineers AIChE J, 59: 1139–1159, 2013
Url:
DOI: 10.1002/aic.13912
Affiliations:
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Actual columns</term>
<term>Actual trays</term>
<term>Agrawal</term>
<term>Aiche</term>
<term>Aiche april</term>
<term>Aiche journal</term>
<term>Aiche journal april</term>
<term>Aiche journal figure</term>
<term>Aiche journal table</term>
<term>Algorithm</term>
<term>American institute</term>
<term>April</term>
<term>Best sequence</term>
<term>Best solution</term>
<term>Binary</term>
<term>Binary variables</term>
<term>Boolean</term>
<term>Boolean variables</term>
<term>Caballero</term>
<term>Capital costs</term>
<term>Chem</term>
<term>Chemical engineering</term>
<term>Classical column sequencing</term>
<term>Column section</term>
<term>Column sections</term>
<term>Column sequencing</term>
<term>Combinatorial complexity</term>
<term>Comp</term>
<term>Comparison parameter</term>
<term>Complex columns</term>
<term>Comput</term>
<term>Comput chem</term>
<term>Condenser</term>
<term>Connectivity equations</term>
<term>Constraint</term>
<term>Continuous variables</term>
<term>Conventional columns</term>
<term>Cooling water cost</term>
<term>Cost calculations</term>
<term>Designer preferences</term>
<term>Different sections</term>
<term>Disjunction</term>
<term>Disjunctive</term>
<term>Distillation</term>
<term>Distillation column</term>
<term>Distillation columns</term>
<term>Distillation research</term>
<term>Distillation sequences</term>
<term>Distillation systems</term>
<term>Dwcs</term>
<term>Energy balances</term>
<term>Energy consumption</term>
<term>Entire system</term>
<term>Environmental considerations</term>
<term>Equivalent alternatives</term>
<term>Exchanger</term>
<term>Extra degree</term>
<term>Factor sequence</term>
<term>Feasible sequences</term>
<term>Feed tray</term>
<term>Form part</term>
<term>Fractional distillation</term>
<term>Gam</term>
<term>Good solution</term>
<term>Grossmann</term>
<term>Heat exchanger</term>
<term>Heat exchangers</term>
<term>Heuristic algorithm</term>
<term>Horizontal partitions</term>
<term>I2comp</term>
<term>Index sets</term>
<term>Inner problem</term>
<term>Integer nonlinear programming problem</term>
<term>Intermediate product</term>
<term>Intermediate product state</term>
<term>Intermediate states</term>
<term>Internal heat exchanger</term>
<term>Internal heat exchangers</term>
<term>Internal states</term>
<term>Internal structure</term>
<term>Internal wall</term>
<term>Large number</term>
<term>Linear hydrocarbons</term>
<term>Liquid fraction</term>
<term>Liquid molar</term>
<term>Local solutions</term>
<term>Logical constraints</term>
<term>Logical equations</term>
<term>Logical relations</term>
<term>Logical relationships</term>
<term>Logical rules</term>
<term>Lower pressures</term>
<term>Mass balances</term>
<term>Mathematical programming framework</term>
<term>Minimum energy consumption</term>
<term>Minimum number</term>
<term>Minimum vapor</term>
<term>Model statistics</term>
<term>Molar</term>
<term>Multicomponent</term>
<term>Multicomponent distillation</term>
<term>Multicomponent mixtures</term>
<term>Nonlinear</term>
<term>Optimal solution</term>
<term>Optimization</term>
<term>Other words</term>
<term>Outer problem</term>
<term>Petlyuk</term>
<term>Petlyuk arrangements</term>
<term>Preliminary design</term>
<term>Process synthesis</term>
<term>Processor quad</term>
<term>Product stream</term>
<term>Product streams</term>
<term>Pure product</term>
<term>Reboiler</term>
<term>Reboilers</term>
<term>Relative volatility</term>
<term>Relevant data</term>
<term>Right hand side</term>
<term>Rigorous model</term>
<term>Same side</term>
<term>Same state</term>
<term>Same time</term>
<term>Search space</term>
<term>Second term</term>
<term>Separation processes</term>
<term>Separation task</term>
<term>Separation tasks</term>
<term>Sharp separation</term>
<term>Single column</term>
<term>Single condenser</term>
<term>Single contribution</term>
<term>Single reboiler</term>
<term>Single shell</term>
<term>Suboptimal solutions</term>
<term>Superstructure</term>
<term>Superstructure optimization</term>
<term>T2tss t2rects t2strips</term>
<term>Temperature heat diagrams</term>
<term>Theoretical point</term>
<term>Thermal couple</term>
<term>Thermal couples</term>
<term>Total condensers cost</term>
<term>Total cost</term>
<term>Total number</term>
<term>Total reboilers cost</term>
<term>Total steam cost</term>
<term>Total tray cost</term>
<term>Total vessels cost</term>
<term>Underwood</term>
<term>Underwood equations</term>
<term>Underwood root</term>
<term>Underwoods method</term>
<term>Vapor molar</term>
<term>Various reboilers condensers</term>
<term>Vertical partitions</term>
<term>Vertical vessel</term>
<term>Volatility</term>
<term>Wall columns</term>
<term>Zeotropic mixtures</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en"><term>Actual columns</term>
<term>Actual trays</term>
<term>Agrawal</term>
<term>Aiche</term>
<term>Aiche april</term>
<term>Aiche journal</term>
<term>Aiche journal april</term>
<term>Aiche journal figure</term>
<term>Aiche journal table</term>
<term>Algorithm</term>
<term>American institute</term>
<term>April</term>
<term>Best sequence</term>
<term>Best solution</term>
<term>Binary</term>
<term>Binary variables</term>
<term>Boolean</term>
<term>Boolean variables</term>
<term>Caballero</term>
<term>Capital costs</term>
<term>Chem</term>
<term>Chemical engineering</term>
<term>Classical column sequencing</term>
<term>Column section</term>
<term>Column sections</term>
<term>Column sequencing</term>
<term>Combinatorial complexity</term>
<term>Comp</term>
<term>Comparison parameter</term>
<term>Complex columns</term>
<term>Comput</term>
<term>Comput chem</term>
<term>Condenser</term>
<term>Connectivity equations</term>
<term>Constraint</term>
<term>Continuous variables</term>
<term>Conventional columns</term>
<term>Cooling water cost</term>
<term>Cost calculations</term>
<term>Designer preferences</term>
<term>Different sections</term>
<term>Disjunction</term>
<term>Disjunctive</term>
<term>Distillation</term>
<term>Distillation column</term>
<term>Distillation columns</term>
<term>Distillation research</term>
<term>Distillation sequences</term>
<term>Distillation systems</term>
<term>Dwcs</term>
<term>Energy balances</term>
<term>Energy consumption</term>
<term>Entire system</term>
<term>Environmental considerations</term>
<term>Equivalent alternatives</term>
<term>Exchanger</term>
<term>Extra degree</term>
<term>Factor sequence</term>
<term>Feasible sequences</term>
<term>Feed tray</term>
<term>Form part</term>
<term>Fractional distillation</term>
<term>Gam</term>
<term>Good solution</term>
<term>Grossmann</term>
<term>Heat exchanger</term>
<term>Heat exchangers</term>
<term>Heuristic algorithm</term>
<term>Horizontal partitions</term>
<term>I2comp</term>
<term>Index sets</term>
<term>Inner problem</term>
<term>Integer nonlinear programming problem</term>
<term>Intermediate product</term>
<term>Intermediate product state</term>
<term>Intermediate states</term>
<term>Internal heat exchanger</term>
<term>Internal heat exchangers</term>
<term>Internal states</term>
<term>Internal structure</term>
<term>Internal wall</term>
<term>Large number</term>
<term>Linear hydrocarbons</term>
<term>Liquid fraction</term>
<term>Liquid molar</term>
<term>Local solutions</term>
<term>Logical constraints</term>
<term>Logical equations</term>
<term>Logical relations</term>
<term>Logical relationships</term>
<term>Logical rules</term>
<term>Lower pressures</term>
<term>Mass balances</term>
<term>Mathematical programming framework</term>
<term>Minimum energy consumption</term>
<term>Minimum number</term>
<term>Minimum vapor</term>
<term>Model statistics</term>
<term>Molar</term>
<term>Multicomponent</term>
<term>Multicomponent distillation</term>
<term>Multicomponent mixtures</term>
<term>Nonlinear</term>
<term>Optimal solution</term>
<term>Optimization</term>
<term>Other words</term>
<term>Outer problem</term>
<term>Petlyuk</term>
<term>Petlyuk arrangements</term>
<term>Preliminary design</term>
<term>Process synthesis</term>
<term>Processor quad</term>
<term>Product stream</term>
<term>Product streams</term>
<term>Pure product</term>
<term>Reboiler</term>
<term>Reboilers</term>
<term>Relative volatility</term>
<term>Relevant data</term>
<term>Right hand side</term>
<term>Rigorous model</term>
<term>Same side</term>
<term>Same state</term>
<term>Same time</term>
<term>Search space</term>
<term>Second term</term>
<term>Separation processes</term>
<term>Separation task</term>
<term>Separation tasks</term>
<term>Sharp separation</term>
<term>Single column</term>
<term>Single condenser</term>
<term>Single contribution</term>
<term>Single reboiler</term>
<term>Single shell</term>
<term>Suboptimal solutions</term>
<term>Superstructure</term>
<term>Superstructure optimization</term>
<term>T2tss t2rects t2strips</term>
<term>Temperature heat diagrams</term>
<term>Theoretical point</term>
<term>Thermal couple</term>
<term>Thermal couples</term>
<term>Total condensers cost</term>
<term>Total cost</term>
<term>Total number</term>
<term>Total reboilers cost</term>
<term>Total steam cost</term>
<term>Total tray cost</term>
<term>Total vessels cost</term>
<term>Underwood</term>
<term>Underwood equations</term>
<term>Underwood root</term>
<term>Underwoods method</term>
<term>Vapor molar</term>
<term>Various reboilers condensers</term>
<term>Vertical partitions</term>
<term>Vertical vessel</term>
<term>Volatility</term>
<term>Wall columns</term>
<term>Zeotropic mixtures</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Distillation</term>
<term>Consommation d'énergie</term>
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<front><div type="abstract">The design of thermally coupled distillation sequences explicitly including the possibility of divided wall columns (DWC) is described. A DWC with a single wall can be considered thermodynamically equivalent to a fully thermally coupled (FTC) subsystem formed by three separation tasks (a Petlyuk configuration in the case of three‐component mixtures). It is shown how to systematically identify all the sequences of separation tasks that can produce configurations that include at least a DWC. Feasible sequences that explicitly include DWCs are enforced through a set of logical relationships in terms of Boolean variables. These logical relationships include as feasible alternatives from conventional columns (each column must have a condenser and a reboiler) to FTC systems (only one reboiler and one condenser in the entire system). A comprehensive disjunctive programming formulation for finding the optimal solution is presented. The model is based on the Fenske, Underwood Gilliland equations. However, the disjunctive formulation allows easily the use of any other shortcut, aggregated or even rigorous model without modifying much the structure of the model. Two illustrative examples illustrate the procedure. © 2012 American Institute of Chemical Engineers AIChE J, 59: 1139–1159, 2013</div>
</front>
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