{"id":"https://openalex.org/W3000671033","doi":"https://doi.org/10.1109/access.2020.2964330","title":"Inherent Interaction Analysis for Harmonic Oscillations in the Multi-Paralleled Grid-Connected Inverter System Using a Sum Type Criterion: Global Admittance (GA)","display_name":"Inherent Interaction Analysis for Harmonic Oscillations in the Multi-Paralleled Grid-Connected Inverter System Using a Sum Type Criterion: Global Admittance (GA)","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3000671033","doi":"https://doi.org/10.1109/access.2020.2964330","mag":"3000671033"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2964330","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2964330","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08950454.pdf","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://ieeexplore.ieee.org/ielx7/6287639/8948470/08950454.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101436552","display_name":"Wu Cao","orcid":"https://orcid.org/0000-0001-8443-4356"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wu Cao","raw_affiliation_strings":["Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing, China","School of Electrical Engineering, Southeast University, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0001-8443-4356","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing, China","institution_ids":[]},{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101656157","display_name":"Shunyu Wang","orcid":"https://orcid.org/0000-0001-6232-3516"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shunyu Wang","raw_affiliation_strings":["Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0001-6232-3516","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Nanjing, China","institution_ids":[]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019888228","display_name":"Haotian Kang","orcid":"https://orcid.org/0000-0002-2994-430X"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haotian Kang","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-2994-430X","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kangli Liu","orcid":"https://orcid.org/0000-0002-2625-3714"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kangli Liu","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-2625-3714","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061332500","display_name":"Qingsong Wang","orcid":"https://orcid.org/0000-0002-0066-9973"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingsong Wang","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-0066-9973","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Jianfeng Zhao","orcid":"https://orcid.org/0000-0003-4891-7304"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianfeng Zhao","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0003-4891-7304","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101436552"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0415,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.75591596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":null,"first_page":"8275","last_page":"8285"},"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9976999759674072,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9908000230789185,"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/admittance","display_name":"Admittance","score":0.8313783407211304},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.693647027015686},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6931847929954529},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5891146659851074},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5452201962471008},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5411145091056824},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.48322877287864685},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.46977943181991577},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4600735604763031},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4371093511581421},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4349328279495239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3082917332649231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29626721143722534},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.2815423607826233},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.23443368077278137},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22599828243255615},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.12431219220161438},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12284210324287415},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10120481252670288}],"concepts":[{"id":"https://openalex.org/C108811297","wikidata":"https://www.wikidata.org/wiki/Q214518","display_name":"Admittance","level":3,"score":0.8313783407211304},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.693647027015686},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6931847929954529},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5891146659851074},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5452201962471008},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5411145091056824},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.48322877287864685},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.46977943181991577},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4600735604763031},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4371093511581421},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4349328279495239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3082917332649231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29626721143722534},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.2815423607826233},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.23443368077278137},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22599828243255615},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.12431219220161438},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12284210324287415},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10120481252670288},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2964330","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2964330","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08950454.pdf","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:644ffee65e7549bd87f3757bec31940c","is_oa":true,"landing_page_url":"https://doaj.org/article/644ffee65e7549bd87f3757bec31940c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 8275-8285 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2964330","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2964330","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08950454.pdf","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G6769288472","display_name":null,"funder_award_id":"51607037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7957810333","display_name":null,"funder_award_id":"2018M642138","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000671033.pdf","grobid_xml":"https://content.openalex.org/works/W3000671033.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1567829719","https://openalex.org/W1763243278","https://openalex.org/W1912041593","https://openalex.org/W1968198522","https://openalex.org/W1998309012","https://openalex.org/W2021521749","https://openalex.org/W2027958022","https://openalex.org/W2065874622","https://openalex.org/W2072513313","https://openalex.org/W2086213888","https://openalex.org/W2092808017","https://openalex.org/W2124074876","https://openalex.org/W2129129019","https://openalex.org/W2135123663","https://openalex.org/W2139361710","https://openalex.org/W2146819726","https://openalex.org/W2149853981","https://openalex.org/W2151903076","https://openalex.org/W2280707463","https://openalex.org/W2323773310","https://openalex.org/W2324658749","https://openalex.org/W2328102190","https://openalex.org/W2341309155","https://openalex.org/W2465051383","https://openalex.org/W2465436411","https://openalex.org/W2519404009","https://openalex.org/W2559896536","https://openalex.org/W2565096424","https://openalex.org/W2595033150","https://openalex.org/W2598974587","https://openalex.org/W2610075340","https://openalex.org/W2617197497","https://openalex.org/W2623267614","https://openalex.org/W2772193360","https://openalex.org/W2783825602","https://openalex.org/W2791193733","https://openalex.org/W2958222824","https://openalex.org/W2964284572","https://openalex.org/W6633727287"],"related_works":["https://openalex.org/W1988829136","https://openalex.org/W2587667458","https://openalex.org/W2164070943","https://openalex.org/W2983963786","https://openalex.org/W1861882962","https://openalex.org/W1497667432","https://openalex.org/W2163128389","https://openalex.org/W2121926536","https://openalex.org/W1516921425","https://openalex.org/W2390836177"],"abstract_inverted_index":{"With":[0],"the":[1,12,23,27,32,39,43,47,54,57,63,67,77,83,88,103,109,117,120,124,132,146,149,156,164,170,187,198,201],"extensive":[2],"use":[3],"of":[4,42,49,59,66,112,119,127,134,140,148,163,179,186,200],"power":[5],"electronics":[6],"converters,":[7],"harmonic":[8,104],"oscillation":[9],"issues":[10],"in":[11,96,169],"multi-paralleled":[13],"grid-connected":[14,60,180],"inverter":[15,68],"system":[16,44,157],"have":[17],"drawn":[18],"much":[19],"attention.":[20],"Apart":[21],"from":[22],"stability":[24,29,80,86],"analysis":[25,30,34,90],"using":[26,91],"impedance-based":[28],"method,":[31],"interaction":[33,89],"is":[35,94,143],"aimed":[36],"at":[37],"revealing":[38],"changing":[40,161],"process":[41],"state":[45],"under":[46],"variation":[48],"some":[50],"parameters":[51,185],"such":[52,135],"as":[53],"grid":[55,175],"impendence,":[56,176],"number":[58,178],"inverters":[61,181],"and":[62,82,123,152,182,194],"control":[64,184,189],"parameter":[65],"current":[69,188],"control,":[70],"etc.":[71],"In":[72],"this":[73,141],"paper,":[74],"after":[75],"comparing":[76],"ratio":[78],"type":[79,85],"criterion":[81],"sum":[84],"criterion,":[87],"global":[92,113,128],"admittance":[93,114,129],"presented":[95],"two":[97],"frequency-domain":[98],"dimensions.":[99],"It":[100],"shows":[101],"that":[102],"instability":[105],"depends":[106],"on":[107,155],"both":[108],"imaginary":[110],"part":[111,126],"which":[115,130],"determines":[116],"appearance":[118,147],"resonance":[121,136,150,165],"point":[122,151,166],"real":[125],"reflects":[131],"property":[133],"point.":[137],"The":[138,159],"essence":[139],"approach":[142],"to":[144],"reveal":[145],"its":[153],"influence":[154],"stability.":[158],"inherent":[160],"rules":[162],"are":[167],"illustrated":[168],"following":[171],"typical":[172],"occasions:":[173],"different":[174,177,183],"loop.":[190],"Finally,":[191],"detailed":[192],"simulations":[193],"experimental":[195],"results":[196],"validate":[197],"effectiveness":[199],"proposed":[202],"approach.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}