{"id":"https://openalex.org/W1892166179","doi":"https://doi.org/10.1109/tsg.2015.2455017","title":"Stability Enhancement Based on Virtual Impedance for DC Microgrids With Constant Power Loads","display_name":"Stability Enhancement Based on Virtual Impedance for DC Microgrids With Constant Power Loads","publication_year":2015,"publication_date":"2015-08-03","ids":{"openalex":"https://openalex.org/W1892166179","doi":"https://doi.org/10.1109/tsg.2015.2455017","mag":"1892166179"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2015.2455017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2455017","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":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/files/216129589/20150707_Final_TSG_CPL.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100684375","display_name":"Xiaonan Lu","orcid":"https://orcid.org/0000-0002-0920-1939"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaonan Lu","raw_affiliation_strings":["Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA","Energy Systems Division , Argonne National Laboratory , Lemont, IL , USA"],"affiliations":[{"raw_affiliation_string":"Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA","institution_ids":["https://openalex.org/I1282105669"]},{"raw_affiliation_string":"Energy Systems Division , Argonne National Laboratory , Lemont, IL , USA","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062750482","display_name":"Kai Sun","orcid":"https://orcid.org/0000-0003-3443-4061"},"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":"Kai Sun","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","Department of Electrical EngineeringState Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electrical EngineeringState Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","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":["Department of Energy Technology, Aalborg University, Aalborg, Denmark","[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]"],"affiliations":[{"raw_affiliation_string":"Department of Energy Technology, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044175190","display_name":"Juan C. V\u00e1squez","orcid":"https://orcid.org/0000-0001-6332-385X"},"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":"Juan C. Vasquez","raw_affiliation_strings":["Department of Energy Technology, Aalborg University, Aalborg, Denmark","[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]"],"affiliations":[{"raw_affiliation_string":"Department of Energy Technology, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111436152","display_name":"Lipei Huang","orcid":null},"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":"Lipei Huang","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","Department of Electrical EngineeringState Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electrical EngineeringState Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100334399","display_name":"Jianhui Wang","orcid":"https://orcid.org/0000-0002-9716-3484"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianhui Wang","raw_affiliation_strings":["Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA","Energy Systems Division , Argonne National Laboratory , Lemont, IL , USA"],"affiliations":[{"raw_affiliation_string":"Energy Systems Division, Argonne National Laboratory, Lemont, IL, USA","institution_ids":["https://openalex.org/I1282105669"]},{"raw_affiliation_string":"Energy Systems Division , Argonne National Laboratory , Lemont, IL , USA","institution_ids":["https://openalex.org/I1282105669"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100684375"],"corresponding_institution_ids":["https://openalex.org/I1282105669"],"apc_list":null,"apc_paid":null,"fwci":26.9229,"has_fulltext":true,"cited_by_count":309,"citation_normalized_percentile":{"value":0.99707477,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"6","issue":"6","first_page":"2770","last_page":"2783"},"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":0.9980000257492065,"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/T14444","display_name":"Power Systems and Renewable Energy","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.6736518144607544},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5631506443023682},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5340954661369324},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5274798274040222},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5204946398735046},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.4066659212112427},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.37329399585723877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32432299852371216},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3167545199394226},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2273607850074768},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.13803556561470032}],"concepts":[{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.6736518144607544},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5631506443023682},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5340954661369324},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5274798274040222},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5204946398735046},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.4066659212112427},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.37329399585723877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32432299852371216},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3167545199394226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2273607850074768},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.13803556561470032},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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":2,"locations":[{"id":"doi:10.1109/tsg.2015.2455017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2455017","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"},{"id":"pmh:oai:pure.atira.dk:publications/7239a94d-674b-4367-9f96-35304c400890","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/7239a94d-674b-4367-9f96-35304c400890","pdf_url":"https://vbn.aau.dk/files/216129589/20150707_Final_TSG_CPL.pdf","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":"Lu , X , Sun , K , Guerrero , J M , Quintero , J C V , Huang , L &amp; Wang , J 2015 , ' Stability Enhancement Based on Virtual Impedance for DC Microgrids with Constant Power Loads ' , I E E E Transactions on Smart Grid , vol. 6 , no. 6 , pp. 2770-2783 . https://doi.org/10.1109/TSG.2015.2455017","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/7239a94d-674b-4367-9f96-35304c400890","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/7239a94d-674b-4367-9f96-35304c400890","pdf_url":"https://vbn.aau.dk/files/216129589/20150707_Final_TSG_CPL.pdf","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":"Lu , X , Sun , K , Guerrero , J M , Quintero , J C V , Huang , L &amp; Wang , J 2015 , ' Stability Enhancement Based on Virtual Impedance for DC Microgrids with Constant Power Loads ' , I E E E Transactions on Smart Grid , vol. 6 , no. 6 , pp. 2770-2783 . https://doi.org/10.1109/TSG.2015.2455017","raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8100000023841858,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2716985461","display_name":null,"funder_award_id":"51177083","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320332357","display_name":"Office of Electricity Delivery and Energy Reliability","ror":"https://ror.org/03rd4h240"},{"id":"https://openalex.org/F4320333916","display_name":"Office of Electricity","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1892166179.pdf","grobid_xml":"https://content.openalex.org/works/W1892166179.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W97257354","https://openalex.org/W1504052325","https://openalex.org/W1521570381","https://openalex.org/W1577574427","https://openalex.org/W1607951052","https://openalex.org/W1622431114","https://openalex.org/W1982349217","https://openalex.org/W1999912594","https://openalex.org/W2006030070","https://openalex.org/W2010320507","https://openalex.org/W2014366918","https://openalex.org/W2039231215","https://openalex.org/W2050417740","https://openalex.org/W2050801871","https://openalex.org/W2061235191","https://openalex.org/W2067952584","https://openalex.org/W2073472818","https://openalex.org/W2080930396","https://openalex.org/W2086213888","https://openalex.org/W2096928643","https://openalex.org/W2098332889","https://openalex.org/W2110940842","https://openalex.org/W2116846721","https://openalex.org/W2119405005","https://openalex.org/W2123360840","https://openalex.org/W2124513379","https://openalex.org/W2124708943","https://openalex.org/W2125958441","https://openalex.org/W2127044159","https://openalex.org/W2127050485","https://openalex.org/W2127086830","https://openalex.org/W2129871854","https://openalex.org/W2131594137","https://openalex.org/W2139033201","https://openalex.org/W2141401705","https://openalex.org/W2147448577","https://openalex.org/W2149624137","https://openalex.org/W2149649225","https://openalex.org/W2151903076","https://openalex.org/W2163548507","https://openalex.org/W2171751405","https://openalex.org/W2765890506","https://openalex.org/W3140249072","https://openalex.org/W4235055490","https://openalex.org/W6636773894","https://openalex.org/W6668998052"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"In":[0,41,160],"this":[1],"paper,":[2],"a":[3,22,58],"converter-based":[4],"dc":[5,17,51,100,122,224],"microgrid":[6,52],"is":[7,25,62,79,112,126,167,179,216],"studied.":[8],"By":[9,135],"considering":[10],"the":[11,29,45,49,66,77,83,97,106,132,137,145,149,153,157,164,172,176,182,186,195,198,203,210,219],"impact":[12,125],"of":[13,48,85,99,148,156,163,185,222],"each":[14,70],"component":[15],"in":[16,69,93,121,144,152,169],"microgrids":[18,101,225],"on":[19],"system":[20],"stability,":[21],"multistage":[23,158,223],"configuration":[24],"employed,":[26],"which":[27],"includes":[28],"source":[30],"stage,":[31],"interface":[32,67,150],"converter":[33],"stage":[34,155],"between":[35],"buses,":[36],"and":[37,104,175],"common":[38],"load":[39,118],"stage.":[40,71],"order":[42,94],"to":[43,95,115,207],"study":[44],"overall":[46],"stability":[47],"above":[50],"with":[53,102,171,226],"constant":[54],"power":[55,119,229],"loads":[56],"(CPLs),":[57],"comprehensive":[59],"small-signal":[60],"model":[61,221],"derived":[63],"by":[64,76,81,193,202,218],"analyzing":[65],"converters":[68,151],"The":[72,213],"instability":[73],"issue":[74],"induced":[75,201],"CPLs":[78,103,204],"revealed":[80],"using":[82,136,194],"criteria":[84],"impedance":[86],"matching.":[87],"Meanwhile,":[88],"virtual-impedance-based":[89],"stabilizers":[90],"are":[91,142,205],"proposed":[92,133,138,196,214],"enhance":[96],"damping":[98],"guarantee":[105],"stable":[107,211],"operation.":[108],"Since":[109],"droop":[110],"control":[111],"commonly":[113],"used":[114],"reach":[116],"proper":[117],"sharing":[120],"microgrids,":[123],"its":[124],"taken":[127],"into":[128,209],"account":[129],"when":[130],"testing":[131],"stabilizers.":[134],"stabilizers,":[139,197],"virtual":[140,165],"impedances":[141,166],"employed":[143],"output":[146,183],"filters":[147],"second":[154],"configuration.":[159],"particular,":[161],"one":[162,178],"connected":[168,180],"series":[170],"filter":[173],"capacitor,":[174],"other":[177],"at":[181],"path":[184],"converter.":[187],"It":[188],"can":[189],"be":[190],"seen":[191],"that":[192],"unstable":[199],"poles":[200],"forced":[206],"move":[208],"region.":[212],"method":[215],"verified":[217],"MATLAB/Simulink":[220],"three":[227],"distributed":[228],"generation":[230],"units.":[231]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":40},{"year":2021,"cited_by_count":38},{"year":2020,"cited_by_count":33},{"year":2019,"cited_by_count":38},{"year":2018,"cited_by_count":26},{"year":2017,"cited_by_count":37},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
