{"id":"https://openalex.org/W4413472034","doi":"https://doi.org/10.1109/access.2025.3601651","title":"Research on Line Loss Calculation Method of Distribution Network Based on Gaussian Mixture Modeling","display_name":"Research on Line Loss Calculation Method of Distribution Network Based on Gaussian Mixture Modeling","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413472034","doi":"https://doi.org/10.1109/access.2025.3601651"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3601651","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601651","pdf_url":null,"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://doi.org/10.1109/access.2025.3601651","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107914364","display_name":"B. Shi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Biwei Shi","raw_affiliation_strings":["State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101815124","display_name":"Qian Xu","orcid":"https://orcid.org/0000-0001-7061-7282"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qian Xu","raw_affiliation_strings":["State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103020642","display_name":"Tao Liu","orcid":"https://orcid.org/0000-0002-8438-1562"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao Liu","raw_affiliation_strings":["State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100718125","display_name":"Yanlong Li","orcid":"https://orcid.org/0000-0003-2859-2960"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yanlong Li","raw_affiliation_strings":["State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang, Hebei, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107914364"],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2626976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"148318","last_page":"148329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14276","display_name":"Power Systems and Technologies","score":0.8737999796867371,"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/T14276","display_name":"Power Systems and Technologies","score":0.8737999796867371,"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/T12451","display_name":"Smart Grid and Power Systems","score":0.7983999848365784,"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/T14042","display_name":"Technology and Security Systems","score":0.7674000263214111,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/computer-science","display_name":"Computer science","score":0.606144905090332},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5774669647216797},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5032824873924255},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.41243356466293335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1954871118068695},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1060667335987091}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.606144905090332},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5774669647216797},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5032824873924255},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.41243356466293335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1954871118068695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1060667335987091},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3601651","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601651","pdf_url":null,"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:doaj.org/article:5d5d9563d9b6478e83560c063062789d","is_oa":true,"landing_page_url":"https://doaj.org/article/5d5d9563d9b6478e83560c063062789d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 148318-148329 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3601651","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601651","pdf_url":null,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2910166270","https://openalex.org/W3082520168","https://openalex.org/W3133673793","https://openalex.org/W4386714917","https://openalex.org/W4400833961","https://openalex.org/W4403447489","https://openalex.org/W4405860979","https://openalex.org/W4408564730","https://openalex.org/W4411046818"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W1964286703","https://openalex.org/W2169866437"],"abstract_inverted_index":{"Line":[0],"loss":[1,54,63,127],"is":[2,84,109,144],"a":[3,30,60,77,136,160],"critical":[4],"technical":[5],"indicator":[6],"for":[7,66,97,117,202],"evaluating":[8],"the":[9,19,23,27,47,71,89,98,112,118,131,148,164,170,176,183,191],"energy-saving":[10],"performance":[11],"and":[12,39,49,121,152,172,187,193],"operational":[13],"efficiency":[14,204],"of":[15,22,29,33,51,80,102,124,133,156,175,190,196],"distribution":[16,41,67,101,154,167,207],"systems.":[17],"With":[18],"ongoing":[20],"advancement":[21],"\u201cdual":[24],"carbon\u201d":[25],"goals,":[26],"integration":[28],"large":[31],"number":[32],"renewable":[34,211],"energy":[35,203,212],"sources\u2014characterized":[36],"by":[37,87],"randomness":[38],"intermittency\u2014into":[40],"networks":[42,68,208],"poses":[43],"significant":[44],"challenges":[45],"to":[46,146],"accuracy":[48,174],"adaptability":[50],"traditional":[52],"line":[53,62,103,126,157,197],"calculation":[55,64],"methods.":[56],"This":[57],"paper":[58],"proposes":[59],"probabilistic":[61,194],"method":[65,138,184],"based":[69,139],"on":[70,140,163],"Gaussian":[72],"Mixture":[73],"Model":[74],"(GMM).":[75],"First,":[76],"GMM-based":[78],"model":[79],"node":[81],"injection":[82],"current":[83,107],"constructed.":[85],"Then,":[86],"combining":[88],"generalized":[90],"non-central":[91],"chi-squared":[92],"distribution,":[93],"an":[94],"analytical":[95],"expression":[96],"theoretical":[99,125,200],"probability":[100,149],"losses":[104],"under":[105],"arbitrary":[106],"distributions":[108],"derived.":[110],"For":[111],"first":[113],"time,":[114],"exact":[115],"expressions":[116],"mean,":[119],"variance,":[120],"moment-generating":[122],"function":[123,151,155],"are":[128],"provided.":[129],"Considering":[130],"complexity":[132],"direct":[134],"calculation,":[135],"numerical":[137],"Raphaeli":[141],"series":[142],"expansion":[143],"developed":[145],"compute":[147],"density":[150],"cumulative":[153],"loss.":[158],"Finally,":[159],"case":[161],"study":[162],"IEEE":[165],"33-bus":[166],"system":[168],"verifies":[169],"effectiveness":[171],"high":[173,210],"proposed":[177],"method.":[178],"The":[179],"results":[180],"demonstrate":[181],"that":[182],"enables":[185],"fast":[186],"precise":[188],"evaluation":[189],"mean":[192],"characteristics":[195],"losses,":[198],"offering":[199],"support":[201],"optimization":[205],"in":[206],"with":[209],"penetration.":[213]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}