{"id":"https://openalex.org/W4416296542","doi":"https://doi.org/10.3390/sym17111967","title":"Research on Power Sharing Suppression Method of Multi-Inverter Parallel System Based on Adaptive Virtual Complex Impedance","display_name":"Research on Power Sharing Suppression Method of Multi-Inverter Parallel System Based on Adaptive Virtual Complex Impedance","publication_year":2025,"publication_date":"2025-11-14","ids":{"openalex":"https://openalex.org/W4416296542","doi":"https://doi.org/10.3390/sym17111967"},"language":"en","primary_location":{"id":"doi:10.3390/sym17111967","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111967","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1967/pdf?version=1763127035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/11/1967/pdf?version=1763127035","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Changxu Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I65644108","display_name":"Adam Smith Institute","ror":"https://ror.org/031tkkf47","country_code":"GB","type":"education","lineage":["https://openalex.org/I65644108"]},{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Changxu Zhang","raw_affiliation_strings":["Adam Smith Business School, University of Glasgow, Glasgow G12 8QQ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adam Smith Business School, University of Glasgow, Glasgow G12 8QQ, UK","institution_ids":["https://openalex.org/I65644108","https://openalex.org/I7882870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103134158","display_name":"Yi Peng","orcid":"https://orcid.org/0000-0003-4159-6122"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiyao Peng","raw_affiliation_strings":["School of Electrical Engineering, Guangxi University, Nanning 530004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Guangxi University, Nanning 530004, China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102737418","display_name":"Donghai Qiu","orcid":"https://orcid.org/0000-0003-1852-4980"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donghai Qiu","raw_affiliation_strings":["College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087693021","display_name":"Shaojuan Su","orcid":"https://orcid.org/0000-0001-9654-0359"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Senyang Su","raw_affiliation_strings":["College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039183001","display_name":"Hongwei Zhang","orcid":"https://orcid.org/0000-0002-1636-2204"},"institutions":[{"id":"https://openalex.org/I110262843","display_name":"Yuncheng University","ror":"https://ror.org/03qt1g669","country_code":"CN","type":"education","lineage":["https://openalex.org/I110262843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Zhang","raw_affiliation_strings":["State Grid Yuncheng Power Supply Company, Yuncheng 044000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Yuncheng Power Supply Company, Yuncheng 044000, China","institution_ids":["https://openalex.org/I110262843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102802563","display_name":"Wanling Liu","orcid":"https://orcid.org/0000-0003-4584-105X"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wanling Liu","raw_affiliation_strings":["College of Computer and Date Science, Fuzhou University, Fuzhou 350108, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Date Science, Fuzhou University, Fuzhou 350108, China","institution_ids":["https://openalex.org/I80947539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5102802563"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40602022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":"1967","last_page":"1967"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9556000232696533,"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":0.9556000232696533,"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.026000000536441803,"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/T10228","display_name":"Multilevel Inverters and Converters","score":0.00419999985024333,"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/electrical-impedance","display_name":"Electrical impedance","score":0.7028999924659729},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5918999910354614},{"id":"https://openalex.org/keywords/output-impedance","display_name":"Output impedance","score":0.5432999730110168},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5030999779701233},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4936000108718872},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4853000044822693},{"id":"https://openalex.org/keywords/impedance-control","display_name":"Impedance control","score":0.4404999911785126},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4383000135421753},{"id":"https://openalex.org/keywords/impedance-parameters","display_name":"Impedance parameters","score":0.43369999527931213},{"id":"https://openalex.org/keywords/impedance-matching","display_name":"Impedance matching","score":0.4178999960422516}],"concepts":[{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.7028999924659729},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5918999910354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5853000283241272},{"id":"https://openalex.org/C58112919","wikidata":"https://www.wikidata.org/wiki/Q631203","display_name":"Output impedance","level":3,"score":0.5432999730110168},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5030999779701233},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4936000108718872},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4853000044822693},{"id":"https://openalex.org/C2777984285","wikidata":"https://www.wikidata.org/wiki/Q17098134","display_name":"Impedance control","level":3,"score":0.4404999911785126},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4383000135421753},{"id":"https://openalex.org/C113805353","wikidata":"https://www.wikidata.org/wiki/Q13424600","display_name":"Impedance parameters","level":3,"score":0.43369999527931213},{"id":"https://openalex.org/C612350","wikidata":"https://www.wikidata.org/wiki/Q1761108","display_name":"Impedance matching","level":3,"score":0.4178999960422516},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.41589999198913574},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3878999948501587},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.35589998960494995},{"id":"https://openalex.org/C92818259","wikidata":"https://www.wikidata.org/wiki/Q1427059","display_name":"Impedance bridging","level":5,"score":0.32850000262260437},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.32179999351501465},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.31839999556541443},{"id":"https://openalex.org/C36877392","wikidata":"https://www.wikidata.org/wiki/Q1229571","display_name":"Distributed power","level":3,"score":0.3158999979496002},{"id":"https://openalex.org/C174268685","wikidata":"https://www.wikidata.org/wiki/Q769127","display_name":"High impedance","level":3,"score":0.30889999866485596},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C26262908","wikidata":"https://www.wikidata.org/wiki/Q1307489","display_name":"Input impedance","level":3,"score":0.30720001459121704},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.298799991607666},{"id":"https://openalex.org/C58716799","wikidata":"https://www.wikidata.org/wiki/Q6035648","display_name":"Inner loop","level":3,"score":0.2946000099182129},{"id":"https://openalex.org/C186886427","wikidata":"https://www.wikidata.org/wiki/Q5441213","display_name":"Feedback loop","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.2840999960899353},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2743000090122223},{"id":"https://openalex.org/C140311924","wikidata":"https://www.wikidata.org/wiki/Q200928","display_name":"Electric power transmission","level":2,"score":0.2614000141620636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17111967","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111967","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1967/pdf?version=1763127035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17111967","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111967","pdf_url":"https://www.mdpi.com/2073-8994/17/11/1967/pdf?version=1763127035","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416296542.pdf","grobid_xml":"https://content.openalex.org/works/W4416296542.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"To":[0],"address":[1],"the":[2,49,59,77,88,93,105,129],"power":[3,81,120,135],"sharing":[4,82,136],"dissymmetry":[5,98],"in":[6,132],"islanded":[7],"microgrids":[8],"with":[9],"multiple":[10],"parallel":[11],"inverters":[12],"caused":[13],"by":[14],"asymmetrical":[15,84],"line":[16,35,113],"impedance":[17,30,36,69,97,109,114],"distribution":[18],"and":[19,53,72,99,122,137],"internal":[20,96],"parameter":[21],"mismatches,":[22],"this":[23],"paper":[24],"proposes":[25],"an":[26],"adaptive":[27,74,106],"virtual":[28,75,107],"complex":[29,108],"control":[31,46,57],"strategy":[32,42],"based":[33],"on":[34],"identification":[37,70],"for":[38,112],"symmetry":[39],"restoration.":[40],"The":[41],"incorporates":[43],"model":[44],"predictive":[45],"(MPC)":[47],"into":[48,58],"current":[50],"inner":[51],"loop":[52,62],"a":[54,67],"two-degree-of-freedom":[55],"(2-DOF)":[56],"voltage":[60],"outer":[61],"of":[63,95,140],"inverters.":[64,142],"By":[65],"establishing":[66],"real-time":[68],"mechanism":[71],"generating":[73],"impedance,":[76],"system":[78],"achieves":[79],"symmetrical":[80,138],"under":[83],"grid":[85],"conditions.":[86],"Firstly,":[87],"voltage-current":[89],"dual-loop":[90],"design":[91],"eliminates":[92],"impact":[94],"enhances":[100],"disturbance":[101],"rejection":[102],"capabilities.":[103],"Secondly,":[104],"actively":[110],"compensates":[111],"mismatches":[115],"among":[116],"units,":[117],"thereby":[118],"resolving":[119],"unbalance":[121],"restoring":[123],"operational":[124],"symmetry.":[125],"Simulation":[126],"results":[127],"validate":[128],"strategy\u2019s":[130],"effectiveness":[131],"enabling":[133],"balanced":[134],"operation":[139],"distributed":[141]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-11-14T00:00:00"}