{"id":"https://openalex.org/W3102807625","doi":"https://doi.org/10.1109/isgt-europe47291.2020.9248959","title":"Convergence of Newton\u2019s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems","display_name":"Convergence of Newton\u2019s Method for Steady-State Load Flow Problems in Multi-Carrier Energy Systems","publication_year":2020,"publication_date":"2020-10-26","ids":{"openalex":"https://openalex.org/W3102807625","doi":"https://doi.org/10.1109/isgt-europe47291.2020.9248959","mag":"3102807625"},"language":"en","primary_location":{"id":"doi:10.1109/isgt-europe47291.2020.9248959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt-europe47291.2020.9248959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://resolver.tudelft.nl/uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053353753","display_name":"A.S. Markensteijn","orcid":"https://orcid.org/0000-0002-1002-5717"},"institutions":[{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL","RU"],"is_corresponding":false,"raw_author_name":"Anne S. Markensteijn","raw_affiliation_strings":["Delft Institute of Applied Mathematics, Delft University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft Institute of Applied Mathematics, Delft University of Technology","institution_ids":["https://openalex.org/I4210093841","https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080989974","display_name":"C. Vuik","orcid":"https://orcid.org/0000-0002-5988-9153"},"institutions":[{"id":"https://openalex.org/I4210093841","display_name":"Institute of Applied Mathematics","ror":"https://ror.org/00h9jx107","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210093841","https://openalex.org/I4210124601","https://openalex.org/I4210148470"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL","RU"],"is_corresponding":false,"raw_author_name":"Kees Vuik","raw_affiliation_strings":["Delft Institute of Applied Mathematics, Delft University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft Institute of Applied Mathematics, Delft University of Technology","institution_ids":["https://openalex.org/I4210093841","https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1084","last_page":"1088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12804","display_name":"Thermal Analysis in Power Transmission","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.8387223482131958},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6877467632293701},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.6376535296440125},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6242286562919617},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6238831877708435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5238747000694275},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5029453635215759},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4987471103668213},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.436862051486969},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4315439462661743},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3930148184299469},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3759371042251587},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3724976181983948},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3288269639015198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23089373111724854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.196409672498703},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.17530658841133118},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17329531908035278},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17274782061576843},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.0832529067993164},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0805143415927887},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07600864768028259}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.8387223482131958},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6877467632293701},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.6376535296440125},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6242286562919617},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6238831877708435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5238747000694275},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5029453635215759},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4987471103668213},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.436862051486969},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4315439462661743},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3930148184299469},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3759371042251587},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3724976181983948},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3288269639015198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23089373111724854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.196409672498703},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.17530658841133118},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17329531908035278},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17274782061576843},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0832529067993164},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0805143415927887},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07600864768028259},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isgt-europe47291.2020.9248959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt-europe47291.2020.9248959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)","raw_type":"proceedings-article"},{"id":"pmh:oai:tudelft.nl:uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","pdf_url":"http://resolver.tudelft.nl/uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:tudelft.nl:uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","is_oa":true,"landing_page_url":"http://resolver.tudelft.nl/uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","pdf_url":"http://resolver.tudelft.nl/uuid:1f210cdf-d3c9-4a61-892c-46cc9661e1ab","source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3102807625.pdf","grobid_xml":"https://content.openalex.org/works/W3102807625.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W615403631","https://openalex.org/W2078590437","https://openalex.org/W2111871912","https://openalex.org/W2123489477","https://openalex.org/W2170344117","https://openalex.org/W2282406344","https://openalex.org/W2781532259","https://openalex.org/W2971255571"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W3081478936","https://openalex.org/W2785612136","https://openalex.org/W2099529706","https://openalex.org/W1599920801","https://openalex.org/W1988224651","https://openalex.org/W1499425287"],"abstract_inverted_index":{"Coupling":[0],"single-carrier":[1,17,81,136],"networks":[2],"into":[3],"multi-carrier":[4,100],"energy":[5],"systems":[6,32],"(MESs)":[7],"has":[8],"recently":[9],"become":[10],"more":[11],"important.":[12],"Various":[13],"formulations":[14,78],"of":[15,33,38,45,56,67,93,106,110,115,118,122],"the":[16,36,43,46,53,61,80,90,96,107,111,116,119,123,134],"load":[18],"flow":[19],"problem":[20],"(LFP)":[21],"are":[22],"used.":[23],"Moreover,":[24],"different":[25,30],"coupling":[26,72],"models":[27,73],"lead":[28],"to":[29,51],"integrated":[31],"equations":[34],"for":[35,64,95],"LFP":[37,63,109],"MESs.":[39],"Both":[40],"could":[41],"affect":[42],"convergence":[44,91],"Newton-Raphson":[47],"method":[48],"(NR)":[49],"used":[50],"solve":[52],"nonlinear":[54],"system":[55],"equations.":[57],"This":[58],"paper":[59,88],"considers":[60],"steady-state":[62,108],"example":[65],"MESs":[66,112],"varying":[68],"size,":[69],"with":[70],"various":[71,77,97],"and":[74,76,99,121,125],"topologies,":[75],"in":[79],"parts.":[82],"Based":[83],"on":[84],"numerical":[85],"experiments,":[86],"this":[87],"compares":[89],"behavior":[92],"NR":[94,105,126],"single-":[98],"systems.":[101],"For":[102],"these":[103],"examples,":[104],"is":[113],"independent":[114],"size":[117],"network":[120],"coupling,":[124],"requires":[127],"at":[128],"most":[129],"as":[130,133],"many":[131],"iterations":[132],"slowest":[135],"network.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}