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

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 definit...

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Principais autores: Chiavone Filho, Osvaldo, Oliveira, José Augusto Furtado de, Duarte, Márcia M.lima, Folleto, Edson Luiz
Formato: article
Idioma:English
Publicado em: Latin American Applied Research
Assuntos:
Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
Endereço do item:https://repositorio.ufrn.br/handle/123456789/45024
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spelling ri-123456789-450242021-11-25T14:50:45Z Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters Chiavone Filho, Osvaldo Oliveira, José Augusto Furtado de Duarte, Márcia M.lima Folleto, Edson Luiz Nonlinear Regression Levemberg- Marquardt Method Vapor-Liquid Equilibria Mixed Solvents Electrolyte Systems 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 2021-11-25T14:50:45Z 2021-11-25T14:50:45Z 2014 article 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 https://repositorio.ufrn.br/handle/123456789/45024 10.52292/j.laar.2014.460 en Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ application/pdf Latin American Applied Research
institution Repositório Institucional
collection RI - UFRN
language English
topic Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
spellingShingle Nonlinear Regression
Levemberg- Marquardt Method
Vapor-Liquid Equilibria
Mixed Solvents Electrolyte Systems
Chiavone Filho, Osvaldo
Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
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
format article
author Chiavone Filho, Osvaldo
Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
author_facet Chiavone Filho, Osvaldo
Oliveira, José Augusto Furtado de
Duarte, Márcia M.lima
Folleto, Edson Luiz
author_sort Chiavone Filho, Osvaldo
title Levenberg-Marquardt method applied to the determination of vapor-liquid equilibrium model parameters
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
publisher Latin American Applied Research
publishDate 2021
url https://repositorio.ufrn.br/handle/123456789/45024
work_keys_str_mv AT chiavonefilhoosvaldo levenbergmarquardtmethodappliedtothedeterminationofvaporliquidequilibriummodelparameters
AT oliveirajoseaugustofurtadode levenbergmarquardtmethodappliedtothedeterminationofvaporliquidequilibriummodelparameters
AT duartemarciamlima levenbergmarquardtmethodappliedtothedeterminationofvaporliquidequilibriummodelparameters
AT folletoedsonluiz levenbergmarquardtmethodappliedtothedeterminationofvaporliquidequilibriummodelparameters
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