{"id":"https://openalex.org/W2511129698","doi":"https://doi.org/10.1109/med.2016.7535914","title":"Continuation via quadratic approximation to reconstruct solution branches and locate singularities in the power flow problem","display_name":"Continuation via quadratic approximation to reconstruct solution branches and locate singularities in the power flow problem","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2511129698","doi":"https://doi.org/10.1109/med.2016.7535914","mag":"2511129698"},"language":"en","primary_location":{"id":"doi:10.1109/med.2016.7535914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2016.7535914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112353653","display_name":"Rastko \u017divanovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Rastko Zivanovic","raw_affiliation_strings":["The University of Adelaide, Adelaide, SA, AU"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Adelaide, Adelaide, SA, AU","institution_ids":["https://openalex.org/I5681781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112353653"],"corresponding_institution_ids":["https://openalex.org/I5681781"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"866","last_page":"870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9957000017166138,"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/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.943339467048645},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.7280303835868835},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6577170491218567},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.599048376083374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5942164659500122},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5792330503463745},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"Analytic continuation","score":0.534767210483551},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.534451425075531},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5065423250198364},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4793280363082886},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.4321984350681305},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.43173277378082275},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3998931348323822},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39712414145469666},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3738142251968384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23902952671051025},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.10329484939575195},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0995202362537384},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09915655851364136},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08105358481407166}],"concepts":[{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.943339467048645},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.7280303835868835},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6577170491218567},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.599048376083374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5942164659500122},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5792330503463745},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.534767210483551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.534451425075531},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5065423250198364},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4793280363082886},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4321984350681305},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.43173277378082275},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3998931348323822},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39712414145469666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3738142251968384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23902952671051025},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.10329484939575195},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0995202362537384},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09915655851364136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08105358481407166},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/med.2016.7535914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/med.2016.7535914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 24th Mediterranean Conference on Control and Automation (MED)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1602827292","https://openalex.org/W1607032092","https://openalex.org/W1633369296","https://openalex.org/W1969639805","https://openalex.org/W1984639830","https://openalex.org/W2006908379","https://openalex.org/W2019257511","https://openalex.org/W2108055683","https://openalex.org/W2109139811","https://openalex.org/W2118525742","https://openalex.org/W2798909945","https://openalex.org/W4212793308","https://openalex.org/W6636964720","https://openalex.org/W6676392140"],"related_works":["https://openalex.org/W383530333","https://openalex.org/W2950419927","https://openalex.org/W2100029995","https://openalex.org/W1977671289","https://openalex.org/W2142001093","https://openalex.org/W2919585726","https://openalex.org/W2197801128","https://openalex.org/W2621837466","https://openalex.org/W2379341192","https://openalex.org/W4200138401"],"abstract_inverted_index":{"Application":[0],"of":[1,16,51,58,65],"the":[2,7,32,41,52,59],"analytic":[3],"continuation,":[4],"based":[5],"on":[6],"quadratic":[8,33],"approximation,":[9],"is":[10],"able":[11],"to":[12,25,48,56],"reconstruct":[13],"solution":[14],"branches":[15],"a":[17],"non-linear":[18,66],"power":[19],"flow":[20],"problem,":[21],"as":[22,24],"well":[23],"locate":[26],"important":[27],"singularities.":[28],"The":[29],"paper":[30],"describes":[31],"approximation":[34],"method,":[35],"and":[36],"compares":[37],"its":[38],"performance":[39],"with":[40],"Pade-type":[42],"approximation.":[43],"Simulation":[44],"examples":[45],"are":[46],"devised":[47],"demonstrate":[49],"superiority":[50],"proposed":[53],"method":[54],"compared":[55],"results":[57],"Pade":[60],"approximant,":[61],"for":[62],"this":[63],"type":[64],"problem.":[67]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
