{"id":"https://openalex.org/W2039895419","doi":"https://doi.org/10.1109/isgt.2013.6497894","title":"A Quasi-Monte Carlo approach for radial distribution system probabilistic load flow","display_name":"A Quasi-Monte Carlo approach for radial distribution system probabilistic load flow","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W2039895419","doi":"https://doi.org/10.1109/isgt.2013.6497894","mag":"2039895419"},"language":"en","primary_location":{"id":"doi:10.1109/isgt.2013.6497894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt.2013.6497894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE PES Innovative Smart Grid Technologies Conference (ISGT)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/A_Quasi-Monte_Carlo_Approach_for_Radial_Distribution_System_Probabilistic_Load_Flow/6468236","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081557955","display_name":"Tao Cui","orcid":"https://orcid.org/0000-0001-8732-6350"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Cui","raw_affiliation_strings":["Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","[Dept. of ECE, Carnegie Mellon University, Pittsburgh, PA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Dept. of ECE, Carnegie Mellon University, Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062806943","display_name":"Franz Franchetti","orcid":"https://orcid.org/0000-0002-3529-8973"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Franchetti","raw_affiliation_strings":["Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","[Dept. of ECE, Carnegie Mellon University, Pittsburgh, PA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Dept. of ECE, Carnegie Mellon University, Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976999759674072,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.8343123197555542},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.7303820848464966},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.6272163391113281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6009515523910522},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5976342558860779},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5348353385925293},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5104042887687683},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4452369511127472},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4095221757888794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38601911067962646},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.35377979278564453},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.33293938636779785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3281024992465973},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11758416891098022},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11218604445457458},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.0999627411365509}],"concepts":[{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.8343123197555542},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7303820848464966},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.6272163391113281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6009515523910522},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5976342558860779},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5348353385925293},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5104042887687683},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4452369511127472},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4095221757888794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38601911067962646},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.35377979278564453},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.33293938636779785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3281024992465973},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11758416891098022},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11218604445457458},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0999627411365509},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/isgt.2013.6497894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt.2013.6497894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE PES Innovative Smart Grid Technologies Conference (ISGT)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.cmu.edu:ece-1255","is_oa":false,"landing_page_url":"http://repository.cmu.edu/ece/257","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Electrical and Computer Engineering","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6468236","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.307.5577","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.5577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.ece.cmu.edu/~franzf/papers/QMC_Final.pdf","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/6468236","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_Quasi-Monte_Carlo_Approach_for_Radial_Distribution_System_Probabilistic_Load_Flow/6468236","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.1184/r1/6468236.v1","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6468236.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/6468236","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_Quasi-Monte_Carlo_Approach_for_Radial_Distribution_System_Probabilistic_Load_Flow/6468236","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W87152119","https://openalex.org/W1541786028","https://openalex.org/W1558610993","https://openalex.org/W1964064967","https://openalex.org/W1965052337","https://openalex.org/W2001228065","https://openalex.org/W2011309750","https://openalex.org/W2014533616","https://openalex.org/W2017001763","https://openalex.org/W2030307575","https://openalex.org/W2033080725","https://openalex.org/W2069722134","https://openalex.org/W2069739265","https://openalex.org/W2109894988","https://openalex.org/W2115736354","https://openalex.org/W2126082093","https://openalex.org/W2129905273","https://openalex.org/W2133389027","https://openalex.org/W2157410673","https://openalex.org/W2158271991","https://openalex.org/W2159254831","https://openalex.org/W2539801914","https://openalex.org/W4233014035","https://openalex.org/W4296139939","https://openalex.org/W6640958755","https://openalex.org/W6658575312"],"related_works":["https://openalex.org/W2761112412","https://openalex.org/W4294677683","https://openalex.org/W2291370119","https://openalex.org/W1548972748","https://openalex.org/W590971457","https://openalex.org/W2374592211","https://openalex.org/W2347943802","https://openalex.org/W2592308920","https://openalex.org/W2151084831","https://openalex.org/W2040790268"],"abstract_inverted_index":{"Monte":[0],"Carlo":[1,68],"simulation":[2],"(MCS)":[3],"is":[4,102],"a":[5,66,149],"numerical":[6],"method":[7,71,101,157,163],"to":[8,17,31,72,87,119],"solve":[9,73,120],"the":[10,74,89,106,136,143,159,167,182,185],"probabilistic":[11],"load":[12],"flow":[13],"(PLF)":[14],"problem.":[15],"Comparing":[16],"analytical":[18],"methods,":[19],"MCS":[20,43,162],"for":[21,55,76,105,138,152],"PLF":[22,75,137],"has":[23,115,142],"advantages":[24],"such":[25],"as":[26,95,97],"flexibility,":[27],"general":[28],"purpose,":[29],"able":[30],"deal":[32],"with":[33,57,110],"large":[34,37,121],"nonlinearity":[35],"and":[36,39,50,114,126,146,164,170],"variances,":[38],"embarrassingly":[40],"parallelizable.":[41],"However,":[42],"also":[44],"suffers":[45],"from":[46,83],"low":[47,111],"convergence":[48,168],"speed":[49],"high":[51,90,107],"computational":[52],"burden,":[53],"especially":[54],"problems":[56,109,123],"multiple":[58],"random":[59,92],"variables.":[60],"In":[61,130],"this":[62,131],"paper,":[63,132],"we":[64,133],"proposed":[65,156,186],"Quasi-Monte":[67],"(QMC)":[69],"based":[70],"radial":[77,139],"distribution":[78,140],"network.":[79],"QMC":[80,100,153],"uses":[81],"samples":[82],"low-discrepancy":[84],"sequence":[85],"intended":[86],"cover":[88],"dimension":[91,108],"sample":[93],"space":[94],"uniformly":[96],"possible.":[98],"The":[99,155],"particularly":[103],"suitable":[104],"effective":[112],"dimensions,":[113],"been":[116],"successfully":[117],"used":[118],"scale":[122],"in":[124],"econometrics":[125],"statistical":[127],"circuit":[128],"design.":[129],"showed":[134],"that":[135],"system":[141],"similar":[144],"properties":[145],"can":[147],"be":[148],"good":[150],"candidate":[151],"method.":[154,187],"possesses":[158],"advantage":[160],"of":[161,184],"significantly":[165],"increases":[166],"rate":[169],"overall":[171],"speed.":[172],"Numerical":[173],"experiment":[174],"results":[175],"on":[176],"IEEE":[177],"test":[178],"feeders":[179],"have":[180],"shown":[181],"effectiveness":[183]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
