{"id":"https://openalex.org/W2795960642","doi":"https://doi.org/10.1109/tsg.2018.2823058","title":"Nonparametric Probabilistic Unbalanced Power Flow With Adaptive Kernel Density Estimator","display_name":"Nonparametric Probabilistic Unbalanced Power Flow With Adaptive Kernel Density Estimator","publication_year":2018,"publication_date":"2018-04-04","ids":{"openalex":"https://openalex.org/W2795960642","doi":"https://doi.org/10.1109/tsg.2018.2823058","mag":"2795960642"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2018.2823058","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2823058","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Smart Grid","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.lsu.edu/eecs_pubs/584","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014495187","display_name":"Hossein Nosratabadi","orcid":"https://orcid.org/0000-0002-5914-6333"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hossein Nosratabadi","raw_affiliation_strings":["School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012336081","display_name":"Mohammad Mohammadi","orcid":"https://orcid.org/0000-0002-8953-1996"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Mohammadi","raw_affiliation_strings":["School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030632729","display_name":"Amin Kargarian","orcid":"https://orcid.org/0000-0002-5291-9292"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amin Kargarian","raw_affiliation_strings":["Division of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA, USA"],"affiliations":[{"raw_affiliation_string":"Division of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014495187"],"corresponding_institution_ids":["https://openalex.org/I166459259"],"apc_list":null,"apc_paid":null,"fwci":1.7008,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.84949232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"10","issue":"3","first_page":"3292","last_page":"3300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9993000030517578,"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":0.9993000030517578,"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/T10424","display_name":"Electric Power System Optimization","score":0.9970999956130981,"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":0.9965999722480774,"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/kernel-density-estimation","display_name":"Kernel density estimation","score":0.8112446069717407},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7270923852920532},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.7175592184066772},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6361719369888306},{"id":"https://openalex.org/keywords/multivariate-kernel-density-estimation","display_name":"Multivariate kernel density estimation","score":0.5630600452423096},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5488744378089905},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5398271679878235},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5364921689033508},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5159381031990051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4846392273902893},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4776429235935211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4754866361618042},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.46213263273239136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42150089144706726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36330556869506836},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24852851033210754},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.2315599024295807},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.13881051540374756},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08495989441871643}],"concepts":[{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.8112446069717407},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7270923852920532},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.7175592184066772},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6361719369888306},{"id":"https://openalex.org/C84894716","wikidata":"https://www.wikidata.org/wiki/Q6935135","display_name":"Multivariate kernel density estimation","level":5,"score":0.5630600452423096},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5488744378089905},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5398271679878235},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5364921689033508},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5159381031990051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4846392273902893},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4776429235935211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4754866361618042},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.46213263273239136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42150089144706726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36330556869506836},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24852851033210754},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.2315599024295807},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.13881051540374756},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08495989441871643},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsg.2018.2823058","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2823058","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Smart Grid","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-1583","is_oa":true,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/584","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:eecs_pubs-1583","is_oa":true,"landing_page_url":"https://repository.lsu.edu/eecs_pubs/584","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.lsu.edu:eecs_pubs-1583","is_oa":true,"landing_page_url":"https://digitalcommons.lsu.edu/eecs_pubs/584","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1541786028","https://openalex.org/W1969351199","https://openalex.org/W1973294042","https://openalex.org/W1988928152","https://openalex.org/W1993137821","https://openalex.org/W2008572210","https://openalex.org/W2008765185","https://openalex.org/W2014316152","https://openalex.org/W2058538626","https://openalex.org/W2066622842","https://openalex.org/W2078320006","https://openalex.org/W2083635470","https://openalex.org/W2089349283","https://openalex.org/W2099517607","https://openalex.org/W2109894988","https://openalex.org/W2113222113","https://openalex.org/W2118020555","https://openalex.org/W2123232211","https://openalex.org/W2129905273","https://openalex.org/W2131322802","https://openalex.org/W2134917918","https://openalex.org/W2142657019","https://openalex.org/W2169450921","https://openalex.org/W2200912190","https://openalex.org/W2329827606","https://openalex.org/W2395780230","https://openalex.org/W2560839401","https://openalex.org/W4233014035","https://openalex.org/W4245003414","https://openalex.org/W4292403327"],"related_works":["https://openalex.org/W2355371556","https://openalex.org/W122742822","https://openalex.org/W4386118679","https://openalex.org/W1569550976","https://openalex.org/W2051218140","https://openalex.org/W4225416428","https://openalex.org/W2060852468","https://openalex.org/W2142816366","https://openalex.org/W1966459929","https://openalex.org/W2795960642"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"nonparametric":[4,90,122],"algorithm":[5,21,36],"to":[6,69,83,94,116],"estimate":[7],"probability":[8,48,140],"density":[9,28,141],"functions":[10,142],"of":[11,47,61,64,105,119,143],"power":[12,41,77,85,144],"flow":[13,42,78,145],"outputs":[14],"in":[15],"unbalanced":[16,84],"distribution":[17,86],"systems.":[18,87],"The":[19,88],"proposed":[20,35,89,121,152],"is":[22,92],"based":[23],"on":[24,74],"an":[25],"adaptive":[26],"kernel":[27],"estimation.":[29],"As":[30],"the":[31,34,75,95,120,128,151,160],"main":[32],"advantage,":[33],"is:":[37],"1)":[38],"applicable":[39,82],"for":[40,50],"problems":[43],"with":[44,124],"unknown":[45],"classes":[46],"distributions":[49],"output":[51,146],"random":[52],"variables;":[53],"2)":[54],"highly":[55],"accurate;":[56],"3)":[57],"non-time-consuming;":[58],"4)":[59],"capable":[60],"modeling":[62],"uncertainties":[63],"distributed":[65],"generators;":[66],"5)":[67],"able":[68],"provide":[70],"complete":[71],"statistical":[72,114],"information":[73],"probabilistic":[76],"problem;":[79],"and":[80,98,108,134,156,159],"6)":[81],"estimator":[91,123],"applied":[93],"IEEE":[96,99],"13-bus":[97],"37-bus":[100],"test":[101],"cases,":[102],"which":[103],"consist":[104],"wind":[106],"farms":[107],"photovoltaic":[109],"units.":[110],"We":[111],"use":[112],"several":[113],"parameters":[115],"compare":[117],"outcomes":[118],"results":[125,161],"obtained":[126],"by":[127],"2n":[129],"+":[130],"1":[131],"point":[132],"estimation,":[133],"unscented":[135],"transforms":[136],"methods.":[137],"In":[138],"addition,":[139],"variables":[147],"are":[148,162],"plotted":[149],"using":[150],"algorithm,":[153],"Monte-Carlo":[154],"simulation,":[155],"diffusion":[157],"methods,":[158],"compared.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
