Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water

Finding appropriate parameter sets for a given equation of state (EoS) to describe different properties of a certain substance is an optimization problem with conflicting objectives. Such problem is commonly addressed by single‐criteria optimization in which the different objectives are lumped into...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:AIChE journal 2018-01, Vol.64 (1), p.226-237
Hauptverfasser: Forte, Esther, Burger, Jakob, Langenbach, Kai, Hasse, Hans, Bortz, Michael
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 237
container_issue 1
container_start_page 226
container_title AIChE journal
container_volume 64
creator Forte, Esther
Burger, Jakob
Langenbach, Kai
Hasse, Hans
Bortz, Michael
description Finding appropriate parameter sets for a given equation of state (EoS) to describe different properties of a certain substance is an optimization problem with conflicting objectives. Such problem is commonly addressed by single‐criteria optimization in which the different objectives are lumped into a single goal function. We show how multi‐criteria optimization (MCO) can be beneficially used for parameterizing equations of state. The Pareto set, which comprises a set of optimal solutions of the MCO problem, is determined. As an example, the perturbed‐chain statistical associating fluid theory (PC‐SAFT) EoS is used and applied to the description of the thermodynamic properties of water, focusing on saturated liquid density and vapor pressure. Different options to describe the molecular nature of water by the PC‐SAFT EoS are studied and for all variants, the Pareto sets are determined, enabling a comprehensive assessment. When compared to literature models, Pareto optimization yields improved models. © 2017 American Institute of Chemical Engineers AIChE J, 63: 226–237, 2018
doi_str_mv 10.1002/aic.15857
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1975038074</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1975038074</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3697-121711acec017d29d3345b8d7e60aa072cbcdb5c9755ed346942246fcd9d59093</originalsourceid><addsrcrecordid>eNp1kMFOwyAcxonRxDk9-AZNPHnoBrSUclwWp0tmPDivEgo0YdlGBzRLPfkIPqNPIl139fTn_32_D8IHwD2CEwQhngojJ4iUhF6AESI5TQmD5BKMIIQojQK6Bjfeb-KGaYlH4PO13Qbz-_0jnQnaGZHYJpid-RLB2H1SW5c0womd7s2zaOvkfbZYx1DoGp3oQ3vSfW_4III-xY7x4G7BVS22Xt-d5xh8LJ7W85d09fa8nM9WqcwKRlOEEUVISC0hogozlWU5qUpFdQGFgBTLSqqKSEYJ0SrLC5ZjnBe1VEzFD7JsDB6GextnD632gW9s6_bxSY5iCGYlpHmkHgdKOuu90zVvnNkJ13EEeV8fj_XxU32RnQ7s0Wx19z_IZ8v5kPgDLrFzqA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1975038074</pqid></control><display><type>article</type><title>Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Forte, Esther ; Burger, Jakob ; Langenbach, Kai ; Hasse, Hans ; Bortz, Michael</creator><creatorcontrib>Forte, Esther ; Burger, Jakob ; Langenbach, Kai ; Hasse, Hans ; Bortz, Michael</creatorcontrib><description>Finding appropriate parameter sets for a given equation of state (EoS) to describe different properties of a certain substance is an optimization problem with conflicting objectives. Such problem is commonly addressed by single‐criteria optimization in which the different objectives are lumped into a single goal function. We show how multi‐criteria optimization (MCO) can be beneficially used for parameterizing equations of state. The Pareto set, which comprises a set of optimal solutions of the MCO problem, is determined. As an example, the perturbed‐chain statistical associating fluid theory (PC‐SAFT) EoS is used and applied to the description of the thermodynamic properties of water, focusing on saturated liquid density and vapor pressure. Different options to describe the molecular nature of water by the PC‐SAFT EoS are studied and for all variants, the Pareto sets are determined, enabling a comprehensive assessment. When compared to literature models, Pareto optimization yields improved models. © 2017 American Institute of Chemical Engineers AIChE J, 63: 226–237, 2018</description><identifier>ISSN: 0001-1541</identifier><identifier>EISSN: 1547-5905</identifier><identifier>DOI: 10.1002/aic.15857</identifier><language>eng</language><publisher>New York: American Institute of Chemical Engineers</publisher><subject>Equations of state ; Mathematical models ; Multiple criterion ; multi‐criteria optimization ; parameter estimation ; Parameterization ; Pareto optimization ; PC‐SAFT ; Thermodynamic properties ; Vapor pressure ; water</subject><ispartof>AIChE journal, 2018-01, Vol.64 (1), p.226-237</ispartof><rights>2017 American Institute of Chemical Engineers</rights><rights>2018 American Institute of Chemical Engineers</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3697-121711acec017d29d3345b8d7e60aa072cbcdb5c9755ed346942246fcd9d59093</citedby><cites>FETCH-LOGICAL-c3697-121711acec017d29d3345b8d7e60aa072cbcdb5c9755ed346942246fcd9d59093</cites><orcidid>0000-0001-5025-6360 ; 0000-0003-1368-6438</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Faic.15857$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Faic.15857$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids></links><search><creatorcontrib>Forte, Esther</creatorcontrib><creatorcontrib>Burger, Jakob</creatorcontrib><creatorcontrib>Langenbach, Kai</creatorcontrib><creatorcontrib>Hasse, Hans</creatorcontrib><creatorcontrib>Bortz, Michael</creatorcontrib><title>Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water</title><title>AIChE journal</title><description>Finding appropriate parameter sets for a given equation of state (EoS) to describe different properties of a certain substance is an optimization problem with conflicting objectives. Such problem is commonly addressed by single‐criteria optimization in which the different objectives are lumped into a single goal function. We show how multi‐criteria optimization (MCO) can be beneficially used for parameterizing equations of state. The Pareto set, which comprises a set of optimal solutions of the MCO problem, is determined. As an example, the perturbed‐chain statistical associating fluid theory (PC‐SAFT) EoS is used and applied to the description of the thermodynamic properties of water, focusing on saturated liquid density and vapor pressure. Different options to describe the molecular nature of water by the PC‐SAFT EoS are studied and for all variants, the Pareto sets are determined, enabling a comprehensive assessment. When compared to literature models, Pareto optimization yields improved models. © 2017 American Institute of Chemical Engineers AIChE J, 63: 226–237, 2018</description><subject>Equations of state</subject><subject>Mathematical models</subject><subject>Multiple criterion</subject><subject>multi‐criteria optimization</subject><subject>parameter estimation</subject><subject>Parameterization</subject><subject>Pareto optimization</subject><subject>PC‐SAFT</subject><subject>Thermodynamic properties</subject><subject>Vapor pressure</subject><subject>water</subject><issn>0001-1541</issn><issn>1547-5905</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kMFOwyAcxonRxDk9-AZNPHnoBrSUclwWp0tmPDivEgo0YdlGBzRLPfkIPqNPIl139fTn_32_D8IHwD2CEwQhngojJ4iUhF6AESI5TQmD5BKMIIQojQK6Bjfeb-KGaYlH4PO13Qbz-_0jnQnaGZHYJpid-RLB2H1SW5c0womd7s2zaOvkfbZYx1DoGp3oQ3vSfW_4III-xY7x4G7BVS22Xt-d5xh8LJ7W85d09fa8nM9WqcwKRlOEEUVISC0hogozlWU5qUpFdQGFgBTLSqqKSEYJ0SrLC5ZjnBe1VEzFD7JsDB6GextnD632gW9s6_bxSY5iCGYlpHmkHgdKOuu90zVvnNkJ13EEeV8fj_XxU32RnQ7s0Wx19z_IZ8v5kPgDLrFzqA</recordid><startdate>201801</startdate><enddate>201801</enddate><creator>Forte, Esther</creator><creator>Burger, Jakob</creator><creator>Langenbach, Kai</creator><creator>Hasse, Hans</creator><creator>Bortz, Michael</creator><general>American Institute of Chemical Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7ST</scope><scope>7U5</scope><scope>8FD</scope><scope>C1K</scope><scope>L7M</scope><scope>SOI</scope><orcidid>https://orcid.org/0000-0001-5025-6360</orcidid><orcidid>https://orcid.org/0000-0003-1368-6438</orcidid></search><sort><creationdate>201801</creationdate><title>Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water</title><author>Forte, Esther ; Burger, Jakob ; Langenbach, Kai ; Hasse, Hans ; Bortz, Michael</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3697-121711acec017d29d3345b8d7e60aa072cbcdb5c9755ed346942246fcd9d59093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Equations of state</topic><topic>Mathematical models</topic><topic>Multiple criterion</topic><topic>multi‐criteria optimization</topic><topic>parameter estimation</topic><topic>Parameterization</topic><topic>Pareto optimization</topic><topic>PC‐SAFT</topic><topic>Thermodynamic properties</topic><topic>Vapor pressure</topic><topic>water</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Forte, Esther</creatorcontrib><creatorcontrib>Burger, Jakob</creatorcontrib><creatorcontrib>Langenbach, Kai</creatorcontrib><creatorcontrib>Hasse, Hans</creatorcontrib><creatorcontrib>Bortz, Michael</creatorcontrib><collection>CrossRef</collection><collection>Environment Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Environment Abstracts</collection><jtitle>AIChE journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Forte, Esther</au><au>Burger, Jakob</au><au>Langenbach, Kai</au><au>Hasse, Hans</au><au>Bortz, Michael</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water</atitle><jtitle>AIChE journal</jtitle><date>2018-01</date><risdate>2018</risdate><volume>64</volume><issue>1</issue><spage>226</spage><epage>237</epage><pages>226-237</pages><issn>0001-1541</issn><eissn>1547-5905</eissn><abstract>Finding appropriate parameter sets for a given equation of state (EoS) to describe different properties of a certain substance is an optimization problem with conflicting objectives. Such problem is commonly addressed by single‐criteria optimization in which the different objectives are lumped into a single goal function. We show how multi‐criteria optimization (MCO) can be beneficially used for parameterizing equations of state. The Pareto set, which comprises a set of optimal solutions of the MCO problem, is determined. As an example, the perturbed‐chain statistical associating fluid theory (PC‐SAFT) EoS is used and applied to the description of the thermodynamic properties of water, focusing on saturated liquid density and vapor pressure. Different options to describe the molecular nature of water by the PC‐SAFT EoS are studied and for all variants, the Pareto sets are determined, enabling a comprehensive assessment. When compared to literature models, Pareto optimization yields improved models. © 2017 American Institute of Chemical Engineers AIChE J, 63: 226–237, 2018</abstract><cop>New York</cop><pub>American Institute of Chemical Engineers</pub><doi>10.1002/aic.15857</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0001-5025-6360</orcidid><orcidid>https://orcid.org/0000-0003-1368-6438</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0001-1541
ispartof AIChE journal, 2018-01, Vol.64 (1), p.226-237
issn 0001-1541
1547-5905
language eng
recordid cdi_proquest_journals_1975038074
source Wiley Online Library Journals Frontfile Complete
subjects Equations of state
Mathematical models
Multiple criterion
multi‐criteria optimization
parameter estimation
Parameterization
Pareto optimization
PC‐SAFT
Thermodynamic properties
Vapor pressure
water
title Multi‐criteria optimization for parameterization of SAFT‐type equations of state for water
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T23%3A57%3A24IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Multi%E2%80%90criteria%20optimization%20for%20parameterization%20of%20SAFT%E2%80%90type%20equations%20of%20state%20for%20water&rft.jtitle=AIChE%20journal&rft.au=Forte,%20Esther&rft.date=2018-01&rft.volume=64&rft.issue=1&rft.spage=226&rft.epage=237&rft.pages=226-237&rft.issn=0001-1541&rft.eissn=1547-5905&rft_id=info:doi/10.1002/aic.15857&rft_dat=%3Cproquest_cross%3E1975038074%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1975038074&rft_id=info:pmid/&rfr_iscdi=true