{"id":"https://openalex.org/W2978293287","doi":"https://doi.org/10.1109/tsg.2019.2945541","title":"Reduced-Order State Space Model for Dynamic Phasors in Active Distribution Networks","display_name":"Reduced-Order State Space Model for Dynamic Phasors in Active Distribution Networks","publication_year":2019,"publication_date":"2019-10-04","ids":{"openalex":"https://openalex.org/W2978293287","doi":"https://doi.org/10.1109/tsg.2019.2945541","mag":"2978293287"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2019.2945541","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2019.2945541","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/A5007320841","display_name":"Huifang Wang","orcid":"https://orcid.org/0000-0002-1483-364X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huifang Wang","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-1483-364X","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101522815","display_name":"Kuan Jiang","orcid":"https://orcid.org/0000-0002-9489-5057"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Kuan Jiang","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China","Robert W. Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, USA"],"raw_orcid":"https://orcid.org/0000-0002-9489-5057","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Robert W. Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062440795","display_name":"Mohammad Shahidehpour","orcid":"https://orcid.org/0000-0002-8994-1688"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Shahidehpour","raw_affiliation_strings":["Robert W. Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, USA"],"raw_orcid":"https://orcid.org/0000-0002-8994-1688","affiliations":[{"raw_affiliation_string":"Robert W. Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102217069","display_name":"HE Ben-teng","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Benteng He","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5179,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8332419,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"1928","last_page":"1941"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9990000128746033,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9984999895095825,"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/phasor","display_name":"Phasor","score":0.7526971697807312},{"id":"https://openalex.org/keywords/interfacing","display_name":"Interfacing","score":0.6362113952636719},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5756192207336426},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.5310022830963135},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5035249590873718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48221075534820557},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.47516128420829773},{"id":"https://openalex.org/keywords/reference-frame","display_name":"Reference frame","score":0.4643469452857971},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4599415957927704},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.39524680376052856},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3741435408592224},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.3579922020435333},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.35662826895713806},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3433619439601898},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3365229070186615},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.319141685962677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20123666524887085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16449326276779175},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12929508090019226},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11575594544410706},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10631296038627625}],"concepts":[{"id":"https://openalex.org/C176605952","wikidata":"https://www.wikidata.org/wiki/Q827674","display_name":"Phasor","level":4,"score":0.7526971697807312},{"id":"https://openalex.org/C2776303644","wikidata":"https://www.wikidata.org/wiki/Q1020499","display_name":"Interfacing","level":2,"score":0.6362113952636719},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5756192207336426},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.5310022830963135},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5035249590873718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48221075534820557},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.47516128420829773},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.4643469452857971},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4599415957927704},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.39524680376052856},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3741435408592224},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.3579922020435333},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.35662826895713806},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3433619439601898},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3365229070186615},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.319141685962677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20123666524887085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16449326276779175},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12929508090019226},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11575594544410706},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10631296038627625},{"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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/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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2019.2945541","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2019.2945541","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1522399516","https://openalex.org/W1594588430","https://openalex.org/W1973516374","https://openalex.org/W1987671837","https://openalex.org/W1992219160","https://openalex.org/W2006908057","https://openalex.org/W2015604805","https://openalex.org/W2022345504","https://openalex.org/W2023340487","https://openalex.org/W2023424931","https://openalex.org/W2054411506","https://openalex.org/W2071912986","https://openalex.org/W2073998266","https://openalex.org/W2097766276","https://openalex.org/W2100900237","https://openalex.org/W2101128707","https://openalex.org/W2102078076","https://openalex.org/W2143055319","https://openalex.org/W2145285786","https://openalex.org/W2150761277","https://openalex.org/W2153785453","https://openalex.org/W2155968149","https://openalex.org/W2167630906","https://openalex.org/W2167819874","https://openalex.org/W2171849138","https://openalex.org/W2179629087","https://openalex.org/W2323213290","https://openalex.org/W2343490554","https://openalex.org/W2376816350","https://openalex.org/W2484979138","https://openalex.org/W2552857829","https://openalex.org/W2566651632","https://openalex.org/W2570969227","https://openalex.org/W2589444258","https://openalex.org/W2601407588","https://openalex.org/W2638559990","https://openalex.org/W2737654582","https://openalex.org/W2751418677","https://openalex.org/W2770438956","https://openalex.org/W2800176627","https://openalex.org/W2804029105","https://openalex.org/W2807986499","https://openalex.org/W4246594763","https://openalex.org/W4323799084","https://openalex.org/W6656188722","https://openalex.org/W6656272358"],"related_works":["https://openalex.org/W2579634771","https://openalex.org/W1560664277","https://openalex.org/W3013517953","https://openalex.org/W2756401664","https://openalex.org/W2338837772","https://openalex.org/W1486719010","https://openalex.org/W1496710458","https://openalex.org/W1538101308","https://openalex.org/W4247219983","https://openalex.org/W1627116927"],"abstract_inverted_index":{"The":[0,98,117,143],"rapid":[1],"proliferation":[2],"of":[3,148],"distributed":[4],"generation":[5],"(DG)":[6],"in":[7,30,60,95],"active":[8],"distribution":[9],"networks":[10],"(ADNs)":[11],"increases":[12],"the":[13,52,81,111,146,149,155],"power":[14],"system":[15],"modeling":[16,40,53],"complexity,":[17],"which":[18,42],"requires":[19],"more":[20],"efficient":[21],"numerical":[22],"methods":[23],"to":[24,45,70,83,105,109],"analyze":[25],"dynamic":[26,37],"interactions":[27],"among":[28],"DGs":[29,49,90],"ADN.":[31],"This":[32],"paper":[33,118],"proposes":[34],"a":[35,64,85,120,137],"reduced-order":[36],"phasor":[38],"(DP)":[39],"method":[41],"is":[43,78,103],"applied":[44,104],"large-scale":[46,115],"ADNs":[47],"with":[48,91,168],"for":[50,75,88,114,133,140],"reducing":[51],"scale":[54],"and":[55,126,136,145,161],"allowing":[56],"larger":[57],"time":[58],"steps":[59],"ADN":[61],"analyses.":[62],"First,":[63],"unified":[65],"state-space":[66,121],"DP":[67,73,122],"model,":[68],"referred":[69],"as":[71],"full-order":[72,107],"model":[74,99,108,123],"linear":[76],"circuits,":[77],"developed":[79],"on":[80,124],"abc-axis":[82],"provide":[84],"comprehensive":[86],"technique":[87],"interfacing":[89],"other":[92],"electric":[93],"devices":[94],"large":[96],"ADNs.":[97,116],"order":[100],"reduction":[101],"(MOR)":[102],"this":[106],"reduce":[110],"computation":[112],"burden":[113],"develops":[119],"positive":[125],"negative":[127],"sequence":[128],"synchronous":[129],"rotating":[130],"reference":[131],"frames":[132],"three-phase":[134],"DGs,":[135],"stationary":[138],"frame":[139],"single-phase":[141],"DGs.":[142,169],"accuracy":[144],"efficiency":[147],"proposed":[150],"models":[151],"are":[152],"verified":[153],"using":[154],"modified":[156],"IEEE":[157,162],"123-node":[158],"test":[159,166],"feeder":[160,167],"European":[163],"low":[164],"voltage":[165]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
