An MPEC formulation for dynamic optimization of distillation operations

Autores
Rajendran, Arvind; Díaz, María Soledad; Biegler, Lorenz Theodor
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the dynamic optimization of chemical processes with changes in the number of equilibrium phases. Recent work has shown that transitions in the number of phases can be modeled as a mathematical program with equilibrium constraints (MPEC). This study generalizes the MPEC to consider dynamic characteristics. In particular, we describe a simultaneous discretization and solution strategy for dynamic optimization problems with complementarity constraints. These discretized problems are then solved with IPOPT-C, a recently developed barrier method for MPEC problems. Our approach is applied to two distillation examples. In the first, we consider the optimal startup of a binary batch distillation problem. In the second, we consider the dynamic operation of a cryogenic column for the separation of natural gas liquids. Both cases demonstrate the effectiveness of the approach on large scale MPEC problems.
Fil: Rajendran, Arvind. University of Carnegie Mellon; Estados Unidos
Fil: Díaz, María Soledad. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Biegler, Lorenz Theodor. University of Carnegie Mellon; Estados Unidos
Materia
BARRIER METHODS
COMPLEMENTARITY CONDITIONS
DISTILLATION
DYNAMIC OPTIMIZATION
NONLINEAR PROGRAMMING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/127014
Acceder
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network_name_str CONICET Digital (CONICET)
spelling An MPEC formulation for dynamic optimization of distillation operationsRajendran, ArvindDíaz, María SoledadBiegler, Lorenz TheodorBARRIER METHODSCOMPLEMENTARITY CONDITIONSDISTILLATIONDYNAMIC OPTIMIZATIONNONLINEAR PROGRAMMINGhttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2We consider the dynamic optimization of chemical processes with changes in the number of equilibrium phases. Recent work has shown that transitions in the number of phases can be modeled as a mathematical program with equilibrium constraints (MPEC). This study generalizes the MPEC to consider dynamic characteristics. In particular, we describe a simultaneous discretization and solution strategy for dynamic optimization problems with complementarity constraints. These discretized problems are then solved with IPOPT-C, a recently developed barrier method for MPEC problems. Our approach is applied to two distillation examples. In the first, we consider the optimal startup of a binary batch distillation problem. In the second, we consider the dynamic operation of a cryogenic column for the separation of natural gas liquids. Both cases demonstrate the effectiveness of the approach on large scale MPEC problems.Fil: Rajendran, Arvind. University of Carnegie Mellon; Estados UnidosFil: Díaz, María Soledad. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Biegler, Lorenz Theodor. University of Carnegie Mellon; Estados UnidosPergamon-Elsevier Science Ltd2004-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/127014Rajendran, Arvind; Díaz, María Soledad; Biegler, Lorenz Theodor; An MPEC formulation for dynamic optimization of distillation operations; Pergamon-Elsevier Science Ltd; Computers and Chemical Engineering; 28; 10; 9-2004; 2037-20520098-1354CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0098135404000857#!info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2004.03.015info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:43Zoai:ri.conicet.gov.ar:11336/127014instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:09:43.526CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An MPEC formulation for dynamic optimization of distillation operations
title An MPEC formulation for dynamic optimization of distillation operations
spellingShingle An MPEC formulation for dynamic optimization of distillation operations
Rajendran, Arvind
BARRIER METHODS
COMPLEMENTARITY CONDITIONS
DISTILLATION
DYNAMIC OPTIMIZATION
NONLINEAR PROGRAMMING
title_short An MPEC formulation for dynamic optimization of distillation operations
title_full An MPEC formulation for dynamic optimization of distillation operations
title_fullStr An MPEC formulation for dynamic optimization of distillation operations
title_full_unstemmed An MPEC formulation for dynamic optimization of distillation operations
title_sort An MPEC formulation for dynamic optimization of distillation operations
dc.creator.none.fl_str_mv Rajendran, Arvind
Díaz, María Soledad
Biegler, Lorenz Theodor
author Rajendran, Arvind
author_facet Rajendran, Arvind
Díaz, María Soledad
Biegler, Lorenz Theodor
author_role author
author2 Díaz, María Soledad
Biegler, Lorenz Theodor
author2_role author
author
dc.subject.none.fl_str_mv BARRIER METHODS
COMPLEMENTARITY CONDITIONS
DISTILLATION
DYNAMIC OPTIMIZATION
NONLINEAR PROGRAMMING
topic BARRIER METHODS
COMPLEMENTARITY CONDITIONS
DISTILLATION
DYNAMIC OPTIMIZATION
NONLINEAR PROGRAMMING
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv We consider the dynamic optimization of chemical processes with changes in the number of equilibrium phases. Recent work has shown that transitions in the number of phases can be modeled as a mathematical program with equilibrium constraints (MPEC). This study generalizes the MPEC to consider dynamic characteristics. In particular, we describe a simultaneous discretization and solution strategy for dynamic optimization problems with complementarity constraints. These discretized problems are then solved with IPOPT-C, a recently developed barrier method for MPEC problems. Our approach is applied to two distillation examples. In the first, we consider the optimal startup of a binary batch distillation problem. In the second, we consider the dynamic operation of a cryogenic column for the separation of natural gas liquids. Both cases demonstrate the effectiveness of the approach on large scale MPEC problems.
Fil: Rajendran, Arvind. University of Carnegie Mellon; Estados Unidos
Fil: Díaz, María Soledad. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Biegler, Lorenz Theodor. University of Carnegie Mellon; Estados Unidos
description We consider the dynamic optimization of chemical processes with changes in the number of equilibrium phases. Recent work has shown that transitions in the number of phases can be modeled as a mathematical program with equilibrium constraints (MPEC). This study generalizes the MPEC to consider dynamic characteristics. In particular, we describe a simultaneous discretization and solution strategy for dynamic optimization problems with complementarity constraints. These discretized problems are then solved with IPOPT-C, a recently developed barrier method for MPEC problems. Our approach is applied to two distillation examples. In the first, we consider the optimal startup of a binary batch distillation problem. In the second, we consider the dynamic operation of a cryogenic column for the separation of natural gas liquids. Both cases demonstrate the effectiveness of the approach on large scale MPEC problems.
publishDate 2004
dc.date.none.fl_str_mv 2004-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/127014
Rajendran, Arvind; Díaz, María Soledad; Biegler, Lorenz Theodor; An MPEC formulation for dynamic optimization of distillation operations; Pergamon-Elsevier Science Ltd; Computers and Chemical Engineering; 28; 10; 9-2004; 2037-2052
0098-1354
CONICET Digital
CONICET
url http://hdl.handle.net/11336/127014
identifier_str_mv Rajendran, Arvind; Díaz, María Soledad; Biegler, Lorenz Theodor; An MPEC formulation for dynamic optimization of distillation operations; Pergamon-Elsevier Science Ltd; Computers and Chemical Engineering; 28; 10; 9-2004; 2037-2052
0098-1354
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0098135404000857#!
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.compchemeng.2004.03.015
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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