{"id":"https://openalex.org/W4378697509","doi":"https://doi.org/10.1109/tsg.2023.3279351","title":"Large-Signal Stability Analysis of AC Micro-Grid Under Quadratic Droop Control","display_name":"Large-Signal Stability Analysis of AC Micro-Grid Under Quadratic Droop Control","publication_year":2023,"publication_date":"2023-05-29","ids":{"openalex":"https://openalex.org/W4378697509","doi":"https://doi.org/10.1109/tsg.2023.3279351"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2023.3279351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3279351","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/A5004535603","display_name":"Zhangjie Liu","orcid":"https://orcid.org/0000-0001-9594-0502"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhangjie Liu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-9594-0502","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102140517","display_name":"Liya Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liya Huang","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065510749","display_name":"Ziqing Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqing Xia","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-5071-3445","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018894950","display_name":"Xubin Liu","orcid":"https://orcid.org/0000-0002-4268-6878"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xubin Liu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-4268-6878","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073660632","display_name":"Hua Han","orcid":"https://orcid.org/0000-0001-8318-9336"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Han","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-8318-9336","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108048517","display_name":"Yao Sun","orcid":"https://orcid.org/0000-0002-7268-9201"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Sun","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-7268-9201","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076880109","display_name":"Mei Su","orcid":"https://orcid.org/0000-0002-4346-5268"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Su","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-4346-5268","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5004535603"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.511,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.6328427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"15","issue":"1","first_page":"124","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9998999834060669,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9998999834060669,"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":0.9990000128746033,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.9665727615356445},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7328827977180481},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.601603627204895},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4796374440193176},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4652966260910034},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4647452235221863},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4230981171131134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40473422408103943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314628601074219},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20823270082473755},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.1781567931175232},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17149299383163452},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08097204566001892}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.9665727615356445},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7328827977180481},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.601603627204895},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4796374440193176},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4652966260910034},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4647452235221863},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4230981171131134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40473422408103943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314628601074219},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20823270082473755},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.1781567931175232},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17149299383163452},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08097204566001892},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2023.3279351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3279351","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":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G305955794","display_name":null,"funder_award_id":"62125308","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3579922981","display_name":null,"funder_award_id":"62273363","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3987990908","display_name":null,"funder_award_id":"62192754","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":39,"referenced_works":["https://openalex.org/W1542938076","https://openalex.org/W1578978182","https://openalex.org/W1984452440","https://openalex.org/W2020664416","https://openalex.org/W2022587566","https://openalex.org/W2030267180","https://openalex.org/W2038179619","https://openalex.org/W2046151576","https://openalex.org/W2051845165","https://openalex.org/W2093909370","https://openalex.org/W2116846721","https://openalex.org/W2127470648","https://openalex.org/W2147246923","https://openalex.org/W2236824723","https://openalex.org/W2240778849","https://openalex.org/W2284066940","https://openalex.org/W2428788477","https://openalex.org/W2572181832","https://openalex.org/W2578606504","https://openalex.org/W2614006387","https://openalex.org/W2734700100","https://openalex.org/W2892196589","https://openalex.org/W2911876139","https://openalex.org/W2952105605","https://openalex.org/W2954646619","https://openalex.org/W2962963296","https://openalex.org/W2969836250","https://openalex.org/W2990195275","https://openalex.org/W3003570764","https://openalex.org/W3016959950","https://openalex.org/W3032023809","https://openalex.org/W3106224369","https://openalex.org/W3110874572","https://openalex.org/W3113996206","https://openalex.org/W3152687569","https://openalex.org/W3162826322","https://openalex.org/W3163821774","https://openalex.org/W4226136899","https://openalex.org/W6755418517"],"related_works":["https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W2410283908","https://openalex.org/W2101513891","https://openalex.org/W4386731488","https://openalex.org/W2024156986","https://openalex.org/W2995216836","https://openalex.org/W3109989318","https://openalex.org/W2027798872","https://openalex.org/W4385817362"],"abstract_inverted_index":{"Quadratic":[0],"droop":[1,28,52,92],"control":[2,6,29,93],"is":[3,63,69,94,97,103,141],"an":[4,83,132],"innovative":[5,133],"strategy":[7],"for":[8,87],"power":[9,20],"network,":[10],"aiming":[11],"to":[12,121],"respect":[13],"the":[14,23,42,47,57,66,88,100,104,108,114,123,129,137,145,149,155,162],"inherently":[15],"quadratic":[16,27,51,91],"nature":[17],"of":[18,46,59,107,125,128,157],"reactive":[19],"flow.":[21],"However,":[22],"system":[24,89],"stability":[25,44,58],"under":[26,50,90],"has":[30],"not":[31],"been":[32],"addressed":[33],"completely":[34],"so":[35],"far.":[36],"This":[37],"paper":[38],"mainly":[39],"focuses":[40],"on":[41,136],"large-signal":[43],"analysis":[45],"AC":[48],"network":[49],"control.":[53],"We":[54],"firstly":[55],"analyze":[56],"each":[60],"equilibrium,":[61,131],"it":[62,74],"concluded":[64],"that":[65,99],"high-voltage":[67,101,130],"equilibrium":[68,102],"stable":[70],"as":[71,73],"long":[72],"exists":[75],"while":[76,112],"all":[77,113],"low-voltage":[78,115],"equilibria":[79,116],"are":[80,117],"unstable.":[81],"Secondly,":[82],"analytical":[84,138],"energy":[85,110,139],"function":[86,111,140],"established.":[95],"It":[96],"proved":[98],"local":[105],"minimum":[106],"proposed":[109,150,163],"saddle":[118],"points.":[119],"Thirdly,":[120],"estimate":[122],"region":[124],"attraction":[126],"(ROA)":[127],"method":[134,152],"based":[135],"proposed.":[142],"Comparing":[143],"with":[144],"closest":[146],"UEP":[147],"method,":[148],"ROA":[151],"significantly":[153],"reduce":[154],"amount":[156],"computations.":[158],"Simulation":[159],"results":[160],"verify":[161],"theorems.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
