Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , , |
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 |
id |
UFRN_6e5fb168e598e85efd27f3f1df0d9db1 |
---|---|
oai_identifier_str |
oai:https://repositorio.ufrn.br:123456789/45024 |
network_acronym_str |
UFRN |
network_name_str |
Repositório Institucional da UFRN |
repository_id_str |
|
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 10.52292/j.laar.2014.460 |
url |
https://repositorio.ufrn.br/handle/123456789/45024 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Latin American Applied Research |
publisher.none.fl_str_mv |
Latin American Applied Research |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
instname_str |
Universidade Federal do Rio Grande do Norte (UFRN) |
instacron_str |
UFRN |
institution |
UFRN |
reponame_str |
Repositório Institucional da UFRN |
collection |
Repositório Institucional da UFRN |
bitstream.url.fl_str_mv |
https://repositorio.ufrn.br/bitstream/123456789/45024/1/Levenberg-MarquardtMethod_ChiavoneFilho_2014.pdf https://repositorio.ufrn.br/bitstream/123456789/45024/2/license_rdf https://repositorio.ufrn.br/bitstream/123456789/45024/3/license.txt |
bitstream.checksum.fl_str_mv |
c884c6740466dd77518935405839a0db e39d27027a6cc9cb039ad269a5db8e34 e9597aa2854d128fd968be5edc8a28d9 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
repository.mail.fl_str_mv |
|
_version_ |
1814832894321885184 |