{"id":"https://openalex.org/W4293211503","doi":"https://doi.org/10.1109/tsg.2022.3186338","title":"Reactive Power Market Design for Distribution Networks With High Photovoltaic Penetration","display_name":"Reactive Power Market Design for Distribution Networks With High Photovoltaic Penetration","publication_year":2022,"publication_date":"2022-06-27","ids":{"openalex":"https://openalex.org/W4293211503","doi":"https://doi.org/10.1109/tsg.2022.3186338"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2022.3186338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3186338","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015910159","display_name":"Qiangang Jia","orcid":"https://orcid.org/0000-0002-4074-2039"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiangang Jia","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4074-2039","affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014721639","display_name":"Yiyan Li","orcid":"https://orcid.org/0000-0002-8796-7139"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiyan Li","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-8796-7139","affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100694669","display_name":"Zheng Yan","orcid":"https://orcid.org/0000-0002-9067-8020"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Yan","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9067-8020","affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100738033","display_name":"Sijie Chen","orcid":"https://orcid.org/0000-0001-6553-7915"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sijie Chen","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-6553-7915","affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015910159"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":1.755,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.84361955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"2","first_page":"1642","last_page":"1651"},"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/T10424","display_name":"Electric Power System Optimization","score":0.9994000196456909,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9994000196456909,"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/ac-power","display_name":"AC power","score":0.7214492559432983},{"id":"https://openalex.org/keywords/photovoltaic-system","display_name":"Photovoltaic system","score":0.6904569864273071},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.469329297542572},{"id":"https://openalex.org/keywords/incentive","display_name":"Incentive","score":0.4679616391658783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44501814246177673},{"id":"https://openalex.org/keywords/penetration","display_name":"Penetration (warfare)","score":0.42712342739105225},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3921256363391876},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.3704317808151245},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.34799376130104065},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.28893518447875977},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.257236123085022},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22466418147087097},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.22307100892066956},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1822962760925293},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.17110079526901245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14147531986236572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08770740032196045}],"concepts":[{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.7214492559432983},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.6904569864273071},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.469329297542572},{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.4679616391658783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44501814246177673},{"id":"https://openalex.org/C80107235","wikidata":"https://www.wikidata.org/wiki/Q7162625","display_name":"Penetration (warfare)","level":2,"score":0.42712342739105225},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3921256363391876},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.3704317808151245},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.34799376130104065},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.28893518447875977},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.257236123085022},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22466418147087097},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.22307100892066956},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1822962760925293},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.17110079526901245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14147531986236572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08770740032196045},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2022.3186338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3186338","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G8442021868","display_name":null,"funder_award_id":"52077138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1556662545","https://openalex.org/W1971761654","https://openalex.org/W2011150768","https://openalex.org/W2017564465","https://openalex.org/W2019175010","https://openalex.org/W2021258763","https://openalex.org/W2067050450","https://openalex.org/W2095855498","https://openalex.org/W2100929265","https://openalex.org/W2108114277","https://openalex.org/W2144611252","https://openalex.org/W2171502882","https://openalex.org/W2751709234","https://openalex.org/W2753767989","https://openalex.org/W2764933519","https://openalex.org/W2782190985","https://openalex.org/W2801358735","https://openalex.org/W2899889651","https://openalex.org/W2954254204","https://openalex.org/W2963876994","https://openalex.org/W3018361117","https://openalex.org/W3035404531","https://openalex.org/W3048219031","https://openalex.org/W3081990711","https://openalex.org/W3106351034","https://openalex.org/W3158063682","https://openalex.org/W3159465164","https://openalex.org/W3172464975","https://openalex.org/W3174579647","https://openalex.org/W3181921912","https://openalex.org/W3188501211","https://openalex.org/W4200494456","https://openalex.org/W4251818744","https://openalex.org/W4281716264","https://openalex.org/W6633247642"],"related_works":["https://openalex.org/W2367468089","https://openalex.org/W2358591856","https://openalex.org/W2098133976","https://openalex.org/W2386968573","https://openalex.org/W2347416728","https://openalex.org/W2395064349","https://openalex.org/W2468219149","https://openalex.org/W2974100988","https://openalex.org/W2215702767","https://openalex.org/W2034374297"],"abstract_inverted_index":{"Voltage":[0],"violation":[1],"problems":[2],"caused":[3],"by":[4,20],"high":[5],"photovoltaic":[6],"(PV)":[7],"penetration":[8],"in":[9,90],"distribution":[10,22,93,108],"systems":[11,109],"can":[12,102],"be":[13,103],"mitigated":[14],"if":[15],"PVs":[16],"are":[17,29],"properly":[18],"operated":[19],"the":[21,39,55,73,77,99],"system":[23],"operator":[24],"(DSO).":[25],"However,":[26],"PV":[27,58,112],"resources":[28,59],"usually":[30],"reluctant":[31],"to":[32,38,53,60,71,86,105],"provide":[33,61],"reactive":[34,49,62],"power":[35,50,63,92,107],"support":[36],"due":[37],"absence":[40],"of":[41,57,76],"an":[42,68],"incentive":[43],"mechanism.":[44],"Here,":[45],"we":[46],"design":[47],"a":[48],"market":[51,81,101],"mechanism":[52],"unlock":[54],"potential":[56],"support.":[64],"We":[65],"then":[66],"develop":[67],"iterative":[69],"algorithm":[70],"calculate":[72],"Nash":[74],"equilibrium":[75],"proposed":[78,100],"market.":[79],"The":[80],"concentration":[82],"is":[83],"further":[84],"quantified":[85],"demonstrate":[87],"its":[88],"applicability":[89],"different":[91],"systems.":[94],"Case":[95],"studies":[96],"show":[97],"that":[98],"applied":[104],"large":[106],"with":[110],"multiple":[111],"resources.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}