Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters

Detalhes bibliográficos
Autor(a) principal: Chiavone Filho, Osvaldo
Data de Publicação: 2014
Outros Autores: Oliveira, José Augusto Furtado de, Duarte, Márcia M.lima, Folleto, Edson Luiz
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/45024
Resumo: In order to correlate and optimize experimental data either from the laboratory or industry, one needs a robust method of data regression. Among the non-linear parameter estimation methods it may be pointed out of Levenberg, which applies the conversion of an arbitrary matrix into a positive definite one. Later, Marquardt applied the same procedure, calculating parameter in an iterative form. The Levenberg-Marquardt algorithm is described and two routine for correlating vapor-liquid equilibrium data for pure component and mixtures, based on this efficient method, have been applied. The routines have been written with an interface very accessible for both users and programmers, using Python language. The flexibility of the developed programs for introducing the desired details is quite interesting for both process simulators and modeling properties. Furthermore, for mixtures with electrolytes, it was obtained a coherent and compatible relation for the structural parameters of the salt species, with the aid of the method and the graphical interface designed
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spelling Chiavone Filho, OsvaldoOliveira, José Augusto Furtado deDuarte, Márcia M.limaFolleto, Edson Luiz2021-11-25T14:50:45Z2021-11-25T14:50:45Z2014OLIVEIRA, José Augusto Furtado de; DUARTE, Márcia M. Lima; FOLETTO, E. L.; CHIAVONE-FILHO, Osvaldo. Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters. LATIN AMERICAN APPLIED RESEARCH, v. 44, p. 319-324, 2014. Disponível em: https://laar.plapiqui.edu.ar/OJS/index.php/laar/article/view/460 Acesso em: 07 jul. 2021. https://doi.org/10.52292/j.laar.2014.4601851-87960327-0793https://repositorio.ufrn.br/handle/123456789/4502410.52292/j.laar.2014.460Latin American Applied ResearchAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessNonlinear RegressionLevemberg- Marquardt MethodVapor-Liquid EquilibriaMixed Solvents Electrolyte SystemsLevenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parametersinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn order to correlate and optimize experimental data either from the laboratory or industry, one needs a robust method of data regression. Among the non-linear parameter estimation methods it may be pointed out of Levenberg, which applies the conversion of an arbitrary matrix into a positive definite one. Later, Marquardt applied the same procedure, calculating parameter in an iterative form. The Levenberg-Marquardt algorithm is described and two routine for correlating vapor-liquid equilibrium data for pure component and mixtures, based on this efficient method, have been applied. The routines have been written with an interface very accessible for both users and programmers, using Python language. The flexibility of the developed programs for introducing the desired details is quite interesting for both process simulators and modeling properties. Furthermore, for mixtures with electrolytes, it was obtained a coherent and compatible relation for the structural parameters of the salt species, with the aid of the method and the graphical interface designedengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALLevenberg-MarquardtMethod_ChiavoneFilho_2014.pdfLevenberg-MarquardtMethod_ChiavoneFilho_2014.pdfapplication/pdf291933https://repositorio.ufrn.br/bitstream/123456789/45024/1/Levenberg-MarquardtMethod_ChiavoneFilho_2014.pdfc884c6740466dd77518935405839a0dbMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufrn.br/bitstream/123456789/45024/2/license_rdfe39d27027a6cc9cb039ad269a5db8e34MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/45024/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53123456789/450242021-11-25 11:50:45.446oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2021-11-25T14:50:45Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
title Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
spellingShingle Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
Chiavone Filho, Osvaldo
Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
title_short Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
title_full Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
title_fullStr Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
title_full_unstemmed Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
title_sort Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
author Chiavone Filho, Osvaldo
author_facet Chiavone Filho, Osvaldo
Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
author_role author
author2 Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
author2_role author
author
author
dc.contributor.author.fl_str_mv Chiavone Filho, Osvaldo
Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
dc.subject.por.fl_str_mv Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
topic Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
description In order to correlate and optimize experimental data either from the laboratory or industry, one needs a robust method of data regression. Among the non-linear parameter estimation methods it may be pointed out of Levenberg, which applies the conversion of an arbitrary matrix into a positive definite one. Later, Marquardt applied the same procedure, calculating parameter in an iterative form. The Levenberg-Marquardt algorithm is described and two routine for correlating vapor-liquid equilibrium data for pure component and mixtures, based on this efficient method, have been applied. The routines have been written with an interface very accessible for both users and programmers, using Python language. The flexibility of the developed programs for introducing the desired details is quite interesting for both process simulators and modeling properties. Furthermore, for mixtures with electrolytes, it was obtained a coherent and compatible relation for the structural parameters of the salt species, with the aid of the method and the graphical interface designed
publishDate 2014
dc.date.issued.fl_str_mv 2014
dc.date.accessioned.fl_str_mv 2021-11-25T14:50:45Z
dc.date.available.fl_str_mv 2021-11-25T14:50:45Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.citation.fl_str_mv OLIVEIRA, José Augusto Furtado de; DUARTE, Márcia M. Lima; FOLETTO, E. L.; CHIAVONE-FILHO, Osvaldo. Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters. LATIN AMERICAN APPLIED RESEARCH, v. 44, p. 319-324, 2014. Disponível em: https://laar.plapiqui.edu.ar/OJS/index.php/laar/article/view/460 Acesso em: 07 jul. 2021. https://doi.org/10.52292/j.laar.2014.460
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/45024
dc.identifier.issn.none.fl_str_mv 1851-8796
0327-0793
dc.identifier.doi.none.fl_str_mv 10.52292/j.laar.2014.460
identifier_str_mv OLIVEIRA, José Augusto Furtado de; DUARTE, Márcia M. Lima; FOLETTO, E. L.; CHIAVONE-FILHO, Osvaldo. Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters. LATIN AMERICAN APPLIED RESEARCH, v. 44, p. 319-324, 2014. Disponível em: https://laar.plapiqui.edu.ar/OJS/index.php/laar/article/view/460 Acesso em: 07 jul. 2021. https://doi.org/10.52292/j.laar.2014.460
1851-8796
0327-0793
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publisher.none.fl_str_mv Latin American Applied Research
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