A disjunctive programming model for superstructure optimization of power and desalting plants
In this paper, a new formulation based on disjunctive programming to model the superstructure of alternative configurations for the synthesis, design and analysis of combined cycle power and desalination plant recently developed in Mussati et al. [Desalination, 182 (2005) 123–129] is presented. In t...
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| Vydané v: | Desalination Ročník 222; číslo 1; s. 457 - 465 |
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| Hlavní autori: | , , , |
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| Jazyk: | English |
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Amsterdam
Elsevier B.V
01.03.2008
Elsevier |
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| ISSN: | 0011-9164, 1873-4464 |
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| Abstract | In this paper, a new formulation based on disjunctive programming to model the superstructure of alternative configurations for the synthesis, design and analysis of combined cycle power and desalination plant recently developed in Mussati et al. [Desalination, 182 (2005) 123–129] is presented. In this new formulation, boolean variables model discrete decisions while continuous variables represent the operation conditions of the process, e.g., flow rates, energy demand. Optimal unit configuration and operating conditions are computed by solving the proposed model in order to satisfy electricity generation and freshwater productions demands.
Rigorous, non-convex and highly non-linear constraints are involved in the formulation, therefore, robust and efficient solution algorithms have to be used. The Logic-Based Outer Approximation (LOA) algorithm developed by Turkay and Grossmann [Comp. Chem. Eng., 20 (8) (1996) 959] with the modifications introduced by Yeomans and Grossmann [Ind. Eng. Chem. Res., 39 (6) (2000) 1637] are used as part of the solution procedure.
The model is implemented and solved in the General Algebraic Modeling System (GAMS). Several study cases for different required power to water ratios are presented and analyzed in order to illustrate the robustness and computational performance of the proposed model. |
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| AbstractList | In this paper, a new formulation based on disjunctive programming to model the superstructure of alternative configurations for the synthesis, design and analysis of combined cycle power and desalination plant recently developed in Mussati et al. [Desalination, 182 (2005) 123–129] is presented. In this new formulation, boolean variables model discrete decisions while continuous variables represent the operation conditions of the process, e.g., flow rates, energy demand. Optimal unit configuration and operating conditions are computed by solving the proposed model in order to satisfy electricity generation and freshwater productions demands.
Rigorous, non-convex and highly non-linear constraints are involved in the formulation, therefore, robust and efficient solution algorithms have to be used. The Logic-Based Outer Approximation (LOA) algorithm developed by Turkay and Grossmann [Comp. Chem. Eng., 20 (8) (1996) 959] with the modifications introduced by Yeomans and Grossmann [Ind. Eng. Chem. Res., 39 (6) (2000) 1637] are used as part of the solution procedure.
The model is implemented and solved in the General Algebraic Modeling System (GAMS). Several study cases for different required power to water ratios are presented and analyzed in order to illustrate the robustness and computational performance of the proposed model. In this paper, a new formulation based on disjunctive programming to model the superstructure of alternative configurations for the synthesis, design and analysis of combined cycle power and desalination plant recently developed in Mussati et al. [Desalination, 182 (2005) 123-129] is presented. In this new formulation, boolean variables model discrete decisions while continuous variables represent the operation conditions of the process, e.g., flow rates, energy demand. Optimal unit configuration and operating conditions are computed by solving the proposed model in order to satisfy electricity generation and freshwater productions demands. Rigorous, non-convex and highly non-linear constraints are involved in the formulation, therefore, robust and efficient solution algorithms have to be used. The Logic-Based Outer Approximation (LOA) algorithm developed by Turkay and Grossmann [Comp. Chem. Eng., 20 (8) (1996) 959] with the modifications introduced by Yeomans and Grossmann [Ind. Eng. Chem. Res., 39 (6) (2000) 1637] are used as part of the solution procedure. The model is implemented and solved in the General Algebraic Modeling System (GAMS). Several study cases for different required power to water ratios are presented and analyzed in order to illustrate the robustness and computational performance of the proposed model. |
| Author | Scenna, N.J. Barttfeld, M. Mussati, S.F. Aguirre, P.A. |
| Author_xml | – sequence: 1 givenname: S.F. surname: Mussati fullname: Mussati, S.F. email: mussati@ceride.gov.ar organization: INGAR/CONICET—Instituto de Desarrollo y Diseño, Avellaneda 3657 Santa Fe, Argentina – sequence: 2 givenname: M. surname: Barttfeld fullname: Barttfeld, M. organization: University Erlangen-Nürnberg, Institute of Chemical Engineering, Germany, Postfach 35 20 Erlangen, Germany – sequence: 3 givenname: P.A. surname: Aguirre fullname: Aguirre, P.A. organization: INGAR/CONICET—Instituto de Desarrollo y Diseño, Avellaneda 3657 Santa Fe, Argentina – sequence: 4 givenname: N.J. surname: Scenna fullname: Scenna, N.J. organization: INGAR/CONICET—Instituto de Desarrollo y Diseño, Avellaneda 3657 Santa Fe, Argentina |
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| Keywords | Superstructure optimization Synthesis and design of chemical process Generalized disjunctive programming Optimization Approximation Desalination plant Algorithm Modeling Operating conditions Design Desalination Superstructure Production Robustness |
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| References | Clelland (bib4) 1967; 2 Grossmann (bib8) 2002; 3 Mussati, Aguirre, Scenna (bib10) 2001; 138 Uche, Serra, Valero (bib1) 2001 El-Nashar (bib5) 2001; 134 Valero, Lozano, Serra, Tsatsaronis, Frangopoulos, Von Spakovsky (bib12) 1993; 19 Mussati, Aguirre, Scenna (bib2) 2004; 166 Grossmann, Caballero, Yeomans (bib7) 1999; 16 Bejan, Tsatsaronis, Moran (bib13) 1996 Wade, Willis, McSorley (bib6) 1999; 125 Mussati, Aguirre, Scenna (bib11) 2003; 42 Mussati, Aguirre, Scenna (bib3) 2005; 182 Yeomans, Grossmann (bib14) 2000; 39 Turkay, Grossmann (bib15) 1996; 20 El-Dessouky, Shaban, Al-Ramadan (bib9) 1995; 103 Wade (10.1016/j.desal.2007.01.162_bib6) 1999; 125 Grossmann (10.1016/j.desal.2007.01.162_bib7) 1999; 16 Mussati (10.1016/j.desal.2007.01.162_bib3) 2005; 182 Yeomans (10.1016/j.desal.2007.01.162_bib14) 2000; 39 El-Nashar (10.1016/j.desal.2007.01.162_bib5) 2001; 134 Grossmann (10.1016/j.desal.2007.01.162_bib8) 2002; 3 Mussati (10.1016/j.desal.2007.01.162_bib10) 2001; 138 Clelland (10.1016/j.desal.2007.01.162_bib4) 1967; 2 Valero (10.1016/j.desal.2007.01.162_bib12) 1993; 19 Bejan (10.1016/j.desal.2007.01.162_bib13) 1996 Mussati (10.1016/j.desal.2007.01.162_bib11) 2003; 42 Mussati (10.1016/j.desal.2007.01.162_bib2) 2004; 166 Turkay (10.1016/j.desal.2007.01.162_bib15) 1996; 20 Uche (10.1016/j.desal.2007.01.162_bib1) 2001 El-Dessouky (10.1016/j.desal.2007.01.162_bib9) 1995; 103 |
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| SubjectTerms | Applied sciences Drinking water and swimming-pool water. Desalination Exact sciences and technology Generalized disjunctive programming Optimization Pollution Superstructure optimization Synthesis and design of chemical process Water treatment and pollution |
| Title | A disjunctive programming model for superstructure optimization of power and desalting plants |
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