{"id":"https://openalex.org/W4226459835","doi":"https://doi.org/10.1109/tie.2022.3156043","title":"Harmonic Transfer-Function-Based <i>\u03b1\u03b2</i>-Frame SISO Impedance Modeling of Droop Inverters-Based Islanded Microgrid With Unbalanced Loads","display_name":"Harmonic Transfer-Function-Based <i>\u03b1\u03b2</i>-Frame SISO Impedance Modeling of Droop Inverters-Based Islanded Microgrid With Unbalanced Loads","publication_year":2022,"publication_date":"2022-03-09","ids":{"openalex":"https://openalex.org/W4226459835","doi":"https://doi.org/10.1109/tie.2022.3156043"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2022.3156043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3156043","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5043908499","display_name":"Jian Guo","orcid":"https://orcid.org/0000-0003-1577-1222"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Guo","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-1577-1222","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103146553","display_name":"Zhiqiang Meng","orcid":"https://orcid.org/0000-0003-0536-6602"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Meng","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073736689","display_name":"Yandong Chen","orcid":"https://orcid.org/0000-0001-7604-7516"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yandong Chen","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-7604-7516","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086161777","display_name":"Wenhua Wu","orcid":"https://orcid.org/0000-0002-7386-9212"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenhua Wu","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-7386-9212","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016441906","display_name":"Shuhan Liao","orcid":"https://orcid.org/0000-0003-2730-2052"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuhan Liao","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-2730-2052","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071849236","display_name":"Zhiwei Xie","orcid":"https://orcid.org/0000-0001-5608-3704"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Xie","raw_affiliation_strings":["College of Electrical and Information Engineering, Hunan University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Hunan University, Changsha, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072189850","display_name":"Josep M. Guerrero","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Josep M. Guerrero","raw_affiliation_strings":["Institute of Energy Technology, Aalborg University, Aalborg, Denmark"],"raw_orcid":"https://orcid.org/0000-0001-5236-4592","affiliations":[{"raw_affiliation_string":"Institute of Energy Technology, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5043908499"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":1.9441,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85263824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"70","issue":"1","first_page":"452","last_page":"464"},"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":0.9987999796867371,"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/T10175","display_name":"Advanced DC-DC Converters","score":0.9854000210762024,"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":0.8813139796257019},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.8556386232376099},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.7125575542449951},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.6831490993499756},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5944963097572327},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5588621497154236},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.5354378819465637},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.48942461609840393},{"id":"https://openalex.org/keywords/output-impedance","display_name":"Output impedance","score":0.45597517490386963},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4212430417537689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4020600914955139},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3738720417022705},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.2573820948600769},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.18540602922439575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14009663462638855},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13995665311813354},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.10491365194320679}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.8813139796257019},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8556386232376099},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.7125575542449951},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.6831490993499756},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5944963097572327},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5588621497154236},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.5354378819465637},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.48942461609840393},{"id":"https://openalex.org/C58112919","wikidata":"https://www.wikidata.org/wiki/Q631203","display_name":"Output impedance","level":3,"score":0.45597517490386963},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4212430417537689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4020600914955139},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3738720417022705},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.2573820948600769},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.18540602922439575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14009663462638855},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13995665311813354},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.10491365194320679},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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":2,"locations":[{"id":"doi:10.1109/tie.2022.3156043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3156043","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/c5ccd79d-b40f-49e8-84f9-ae5dfb78fee0","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/c5ccd79d-b40f-49e8-84f9-ae5dfb78fee0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Guo, J, Meng, Z, Chen, Y, Wu, W, Liao, S, Xie, Z & Guerrero, J M 2023, 'Harmonic Transfer-Function-Based \u03b1\u03b2-Frame SISO Impedance Modeling of Droop Inverters-Based Islanded Microgrid With Unbalanced Loads', IEEE Transactions on Industrial Electronics, vol. 70, no. 1, pp. 452-464. https://doi.org/10.1109/TIE.2022.3156043","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G66128576","display_name":null,"funder_award_id":"52077070","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":34,"referenced_works":["https://openalex.org/W150356851","https://openalex.org/W586603706","https://openalex.org/W1578747665","https://openalex.org/W1994959046","https://openalex.org/W1995879073","https://openalex.org/W2073017797","https://openalex.org/W2073703226","https://openalex.org/W2086213888","https://openalex.org/W2098332889","https://openalex.org/W2139361710","https://openalex.org/W2171932063","https://openalex.org/W2324658749","https://openalex.org/W2610075340","https://openalex.org/W2749181524","https://openalex.org/W2761706058","https://openalex.org/W2806559440","https://openalex.org/W2896465235","https://openalex.org/W2901106524","https://openalex.org/W2912149061","https://openalex.org/W2942732919","https://openalex.org/W2960893415","https://openalex.org/W2962861585","https://openalex.org/W2969264609","https://openalex.org/W2997947682","https://openalex.org/W2998219635","https://openalex.org/W3004113969","https://openalex.org/W3009707253","https://openalex.org/W3035898943","https://openalex.org/W3037839087","https://openalex.org/W3100243383","https://openalex.org/W3118653585","https://openalex.org/W3159034943","https://openalex.org/W6606174686","https://openalex.org/W6634701477"],"related_works":["https://openalex.org/W2349700491","https://openalex.org/W3132792237","https://openalex.org/W3132497606","https://openalex.org/W4210526872","https://openalex.org/W2168694011","https://openalex.org/W2902030441","https://openalex.org/W2996701762","https://openalex.org/W1970562241","https://openalex.org/W2507420394","https://openalex.org/W2377000424"],"abstract_inverted_index":{"Impedance-based":[0],"approachis":[1],"generally":[2],"studied":[3],"for":[4,80],"stability":[5,85,116],"analysis":[6,117],"of":[7,34,52,106,128,139],"the":[8,22,44,65,88,99,104,107,115,120,129,137,140],"power":[9],"electronic":[10],"converter-based":[11],"system.":[12],"Considering":[13],"multiple-frequency":[14,95],"coupling":[15,93,96],"effects,":[16],"in":[17,60],"this":[18],"article,":[19],"we":[20],"establish":[21],"harmonic":[23],"transfer":[24],"function":[25],"(HTF)":[26],"based":[27,37,118],"<italic":[28,46,67,89,108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[29,47,68,90,109],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b1\u03b2</i>":[30,48,69,91,110],"-frame":[31,70,92,111],"impedance":[32,71,82,122,142],"models":[33,72,123],"droop":[35,58],"inverters":[36,59],"islanded":[38,130],"microgrid":[39,131],"with":[40,132],"unbalanced":[41,53,133],"loads.":[42],"Therein,":[43],"HTF-based":[45,66],"-impedance":[49],"modeling":[50],"methods":[51],"loads,":[54,134],"as":[55,57],"well":[56],"parallel,":[61],"are":[62,73],"proposed.":[63],"Afterward,":[64],"equivalent":[74],"to":[75],"single-input":[76],"single-output":[77],"(SISO)":[78],"impedances":[79],"simpler":[81],"measurement":[83,101],"and":[84,94],"analysis,":[86],"preserving":[87],"characteristics.":[97],"Finally,":[98],"experimental":[100],"results":[102],"verify":[103],"accuracy":[105],"SISO":[112,121,141],"impedances.":[113],"Besides,":[114],"on":[119],"accurately":[124],"reveals":[125],"low-frequency":[126],"oscillations":[127],"further":[135],"verifying":[136],"effectiveness":[138],"models.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
