{"id":"https://openalex.org/W3189837387","doi":"https://doi.org/10.1109/access.2021.3102447","title":"A Novel Power Flow Solution Paradigm for Well and Ill-Conditioned Cases","display_name":"A Novel Power Flow Solution Paradigm for Well and Ill-Conditioned Cases","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3189837387","doi":"https://doi.org/10.1109/access.2021.3102447","mag":"3189837387"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3102447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3102447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09505675.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09505675.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038590259","display_name":"Marcos Tostado\u2010V\u00e9liz","orcid":"https://orcid.org/0000-0001-7076-1065"},"institutions":[{"id":"https://openalex.org/I191420491","display_name":"Universidad de Ja\u00e9n","ror":"https://ror.org/0122p5f64","country_code":"ES","type":"education","lineage":["https://openalex.org/I191420491"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marcos Tostado-Veliz","raw_affiliation_strings":["Department of Electrical Engineering, University of Ja\u00e9n, 23700 EPS Linares, Ja\u00e9n, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Ja\u00e9n, 23700 EPS Linares, Ja\u00e9n, Spain","institution_ids":["https://openalex.org/I191420491"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061647387","display_name":"Talal Alharbi","orcid":"https://orcid.org/0000-0001-7888-7105"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Talal Alharbi","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, Qassim University, Buraydah, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-7888-7105","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, Qassim University, Buraydah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006295865","display_name":"Omar Alrumayh","orcid":"https://orcid.org/0000-0002-3412-2853"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Omar Alrumayh","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, Qassim University, Unaizah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, Qassim University, Unaizah, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012474682","display_name":"Salah Kamel","orcid":"https://orcid.org/0000-0001-9505-5386"},"institutions":[{"id":"https://openalex.org/I86310350","display_name":"Aswan University","ror":"https://ror.org/048qnr849","country_code":"EG","type":"education","lineage":["https://openalex.org/I86310350"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Salah Kamel","raw_affiliation_strings":["Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswan, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswan, Egypt","institution_ids":["https://openalex.org/I86310350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059329130","display_name":"Francisco Jurado","orcid":"https://orcid.org/0000-0001-8122-7415"},"institutions":[{"id":"https://openalex.org/I191420491","display_name":"Universidad de Ja\u00e9n","ror":"https://ror.org/0122p5f64","country_code":"ES","type":"education","lineage":["https://openalex.org/I191420491"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Jurado","raw_affiliation_strings":["Department of Electrical Engineering, University of Ja\u00e9n, 23700 EPS Linares, Ja\u00e9n, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Ja\u00e9n, 23700 EPS Linares, Ja\u00e9n, Spain","institution_ids":["https://openalex.org/I191420491"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5038590259"],"corresponding_institution_ids":["https://openalex.org/I191420491"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7118,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69847877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"112425","last_page":"112438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998000264167786,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998000264167786,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9995999932289124,"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/solver","display_name":"Solver","score":0.8725772500038147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6433636546134949},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.6116438508033752},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.566862165927887},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5574634671211243},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4405524730682373},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4252357482910156},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4155222177505493},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.39967161417007446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2485988438129425},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07802435755729675},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07303822040557861}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.8725772500038147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6433636546134949},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.6116438508033752},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.566862165927887},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5574634671211243},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4405524730682373},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4252357482910156},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4155222177505493},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39967161417007446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2485988438129425},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07802435755729675},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07303822040557861},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2021.3102447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3102447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09505675.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:ruja.ujaen.es:10953/2909","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/document/9505675","pdf_url":null,"source":{"id":"https://openalex.org/S4306402241","display_name":"RUJA. Institutional Repository of Scientific Production of the University of Ja\u00e9n (University of Ja\u00e9n)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191420491","host_organization_name":"Universidad de Ja\u00e9n","host_organization_lineage":["https://openalex.org/I191420491"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},{"id":"pmh:oai:doaj.org/article:bf5ee03333694f709f7fd113fa4ab8fb","is_oa":true,"landing_page_url":"https://doaj.org/article/bf5ee03333694f709f7fd113fa4ab8fb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 112425-112438 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3102447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3102447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09505675.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.49000000953674316,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324403","display_name":"Qassim University","ror":"https://ror.org/01wsfe280"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3189837387.pdf","grobid_xml":"https://content.openalex.org/works/W3189837387.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W39060475","https://openalex.org/W83559643","https://openalex.org/W274853101","https://openalex.org/W1512360034","https://openalex.org/W1971423906","https://openalex.org/W1992990994","https://openalex.org/W2008621871","https://openalex.org/W2014759149","https://openalex.org/W2021662576","https://openalex.org/W2030228232","https://openalex.org/W2035579008","https://openalex.org/W2039911933","https://openalex.org/W2043204397","https://openalex.org/W2050510068","https://openalex.org/W2056065445","https://openalex.org/W2068658365","https://openalex.org/W2078107196","https://openalex.org/W2106424475","https://openalex.org/W2109628534","https://openalex.org/W2133855606","https://openalex.org/W2144075630","https://openalex.org/W2156269992","https://openalex.org/W2170632053","https://openalex.org/W2184525671","https://openalex.org/W2294104245","https://openalex.org/W2468950292","https://openalex.org/W2485674704","https://openalex.org/W2486846203","https://openalex.org/W2543274172","https://openalex.org/W2565958257","https://openalex.org/W2759971529","https://openalex.org/W2792739722","https://openalex.org/W2802102004","https://openalex.org/W2811077669","https://openalex.org/W2891898906","https://openalex.org/W2895947699","https://openalex.org/W2901621202","https://openalex.org/W2904659535","https://openalex.org/W2916360189","https://openalex.org/W2940709306","https://openalex.org/W2943067977","https://openalex.org/W2947100703","https://openalex.org/W2948012955","https://openalex.org/W2960428847","https://openalex.org/W2960461445","https://openalex.org/W2963469565","https://openalex.org/W3008427851","https://openalex.org/W3016983759","https://openalex.org/W3018870315","https://openalex.org/W3020269170","https://openalex.org/W3039088759","https://openalex.org/W4296139939","https://openalex.org/W4297704056","https://openalex.org/W6696925993"],"related_works":["https://openalex.org/W3199660918","https://openalex.org/W4310647160","https://openalex.org/W3132719053","https://openalex.org/W2546397091","https://openalex.org/W3196115447","https://openalex.org/W2058471385","https://openalex.org/W3187406260","https://openalex.org/W2060392117","https://openalex.org/W2072716372","https://openalex.org/W1562024686"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,39,52,58,60],"novel":[4,53],"four-stage":[5],"power":[6],"flow":[7],"solver":[8,15],"for":[9],"ill-conditioned":[10,71,84],"systems.":[11],"Although":[12],"the":[13,25,32,46,93],"developed":[14,47,94],"could":[16],"be":[17],"considered":[18],"efficient,":[19],"it":[20],"is":[21,49,73],"not":[22],"competitive":[23,37,66],"with":[24,92],"Newton-Raphson":[26],"method":[27],"in":[28,38,67,80],"well-conditioned":[29],"cases.":[30],"With":[31],"aim":[33],"of":[34,42],"being":[35],"fully":[36],"wide":[40],"range":[41],"cases":[43,85],"and":[44,62,70,83],"scenarios,":[45],"algorithm":[48],"integrated":[50],"within":[51],"efficient":[54,63],"solution":[55,64],"paradigm.":[56],"As":[57],"result,":[59],"robust":[61],"framework,":[65],"both":[68],"well":[69,82],"cases,":[72],"obtained.":[74],"The":[75],"new":[76],"proposals":[77],"are":[78,96],"tested":[79],"various":[81],"from":[86],"30-,":[87],"to":[88],"13,659-buses.":[89],"Results":[90],"obtained":[91],"solvers":[95],"promising.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
