{"id":"https://openalex.org/W2344324114","doi":"https://doi.org/10.1109/tsg.2016.2519454","title":"Feasible Range and Optimal Value of the Virtual Impedance for Droop-Based Control of Microgrids","display_name":"Feasible Range and Optimal Value of the Virtual Impedance for Droop-Based Control of Microgrids","publication_year":2016,"publication_date":"2016-02-03","ids":{"openalex":"https://openalex.org/W2344324114","doi":"https://doi.org/10.1109/tsg.2016.2519454","mag":"2344324114"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2016.2519454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2016.2519454","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/A5069600216","display_name":"Xiangyu Wu","orcid":"https://orcid.org/0000-0001-8237-2454"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyu Wu","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103000830","display_name":"Chen Shen","orcid":"https://orcid.org/0000-0003-1985-3508"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Shen","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037767876","display_name":"Reza Iravani","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Reza Iravani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.3675,"has_fulltext":false,"cited_by_count":140,"citation_normalized_percentile":{"value":0.98844946,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"8","issue":"3","first_page":"1242","last_page":"1251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10223","display_name":"Microgrid Control and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.9962000250816345,"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9944999814033508,"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/microgrid","display_name":"Microgrid","score":0.9172451496124268},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.8940396308898926},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.607450544834137},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5767573118209839},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.5455673336982727},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5350768566131592},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.48929116129875183},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.48439890146255493},{"id":"https://openalex.org/keywords/output-impedance","display_name":"Output impedance","score":0.4790814518928528},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.4460158348083496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.433554470539093},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4145176112651825},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3995537757873535},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.37564608454704285},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3534613251686096},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.19787809252738953},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1525680422782898},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.08824202418327332}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.9172451496124268},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8940396308898926},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.607450544834137},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5767573118209839},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.5455673336982727},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5350768566131592},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.48929116129875183},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.48439890146255493},{"id":"https://openalex.org/C58112919","wikidata":"https://www.wikidata.org/wiki/Q631203","display_name":"Output impedance","level":3,"score":0.4790814518928528},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.4460158348083496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.433554470539093},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4145176112651825},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3995537757873535},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.37564608454704285},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3534613251686096},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.19787809252738953},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1525680422782898},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.08824202418327332},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2016.2519454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2016.2519454","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G6147061337","display_name":null,"funder_award_id":"51321005","funder_id":"https://openalex.org/F4320327720","funder_display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320327720","display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1966322913","https://openalex.org/W1974053748","https://openalex.org/W1978592021","https://openalex.org/W2001965107","https://openalex.org/W2004686258","https://openalex.org/W2009704558","https://openalex.org/W2024559217","https://openalex.org/W2028437657","https://openalex.org/W2055088840","https://openalex.org/W2059172529","https://openalex.org/W2079746763","https://openalex.org/W2080778655","https://openalex.org/W2107248030","https://openalex.org/W2119184329","https://openalex.org/W2124708943","https://openalex.org/W2139033201","https://openalex.org/W2150778332","https://openalex.org/W2151903076","https://openalex.org/W2158888596","https://openalex.org/W2168753575","https://openalex.org/W2327424337","https://openalex.org/W3156118547","https://openalex.org/W6963453641"],"related_works":["https://openalex.org/W2349700491","https://openalex.org/W3132792237","https://openalex.org/W2168694011","https://openalex.org/W3132497606","https://openalex.org/W4210526872","https://openalex.org/W2902030441","https://openalex.org/W2895708895","https://openalex.org/W2377871876","https://openalex.org/W2996701762","https://openalex.org/W3134658563"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,24,94,106],"systematic":[4],"method":[5],"to":[6,22,30,104,114,130],"determine":[7],"the":[8,15,19,54,59,62,70,73,77,84,111,116,125,132,137],"feasible":[9,74,112],"range":[10,75,113],"and":[11,38,47,90,134],"optimal":[12,118],"value":[13,109],"of":[14,18,53,61,76,136],"virtual":[16,63,78,107],"impedance":[17,108],"droop-based":[20,55],"control":[21],"enhance":[23],"microgrid":[25,119],"system":[26,36,85],"performance":[27],"with":[28],"respect":[29],"power":[31,34,44],"decoupling,":[32],"reactive":[33],"sharing,":[35],"damping,":[37],"node":[39],"voltage":[40],"profile.":[41],"A":[42],"modified":[43],"flow":[45],"analysis":[46],"an":[48,99],"augmented":[49],"small-signal":[50],"dynamic":[51],"model":[52],"controlled":[56],"microgrid,":[57],"considering":[58],"impact":[60],"impedance,":[64,79],"are":[65,128],"developed.":[66],"Subsequently,":[67],"based":[68],"on":[69,93],"developed":[71],"methods,":[72],"which":[80],"can":[81],"satisfy":[82],"all":[83],"performances":[86],"requirements,":[87],"is":[88,102],"determined":[89],"presented.":[91],"Based":[92],"particle":[95],"swarm":[96],"optimization":[97,100],"technique,":[98],"process":[101],"introduced":[103],"select":[105],"within":[110],"achieve":[115],"overall":[117],"performance.":[120],"Finally,":[121],"simulation":[122],"results":[123],"in":[124],"PSCAD/EMTDC":[126],"platform":[127],"provided":[129],"validate":[131],"feasibility":[133],"effectiveness":[135],"proposed":[138],"methods.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":24},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}