{"id":"https://openalex.org/W2783242658","doi":"https://doi.org/10.1109/allerton.2017.8262732","title":"Network-cognizant model reduction of grid-tied three-phase inverters","display_name":"Network-cognizant model reduction of grid-tied three-phase inverters","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2783242658","doi":"https://doi.org/10.1109/allerton.2017.8262732","mag":"2783242658"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2017.8262732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-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/A5067407835","display_name":"Victor Purba","orcid":null},"institutions":[{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Victor Purba","raw_affiliation_strings":["University of Minnesota"],"affiliations":[{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I2800403580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081876985","display_name":"Sairaj V. Dhople","orcid":"https://orcid.org/0000-0002-1180-1415"},"institutions":[{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sairaj V. Dhople","raw_affiliation_strings":["University of Minnesota"],"affiliations":[{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I2800403580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014088551","display_name":"Saber Jafarpour","orcid":"https://orcid.org/0000-0002-7614-2940"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saber Jafarpour","raw_affiliation_strings":["University of California at Santa Barbara"],"affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068353454","display_name":"Francesco Bullo","orcid":"https://orcid.org/0000-0002-4785-2118"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francesco Bullo","raw_affiliation_strings":["University of California at Santa Barbara"],"affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020529252","display_name":"Brian Johnson","orcid":"https://orcid.org/0000-0001-9122-172X"},"institutions":[{"id":"https://openalex.org/I1297288678","display_name":"National Renewable Energy Laboratory","ror":"https://ror.org/036266993","country_code":"US","type":"facility","lineage":["https://openalex.org/I1297288678","https://openalex.org/I1330989302","https://openalex.org/I2800842121"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian B. Johnson","raw_affiliation_strings":["National Renewable Energy Laboratory"],"affiliations":[{"raw_affiliation_string":"National Renewable Energy Laboratory","institution_ids":["https://openalex.org/I1297288678"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5067407835"],"corresponding_institution_ids":["https://openalex.org/I2800403580"],"apc_list":null,"apc_paid":null,"fwci":1.8104,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86552602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9994999766349792,"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":0.9994999766349792,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9912999868392944,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9904999732971191,"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/inverter","display_name":"Inverter","score":0.6335005760192871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6011740565299988},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5987826585769653},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5604286193847656},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5341377258300781},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4998166561126709},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.49033379554748535},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47861212491989136},{"id":"https://openalex.org/keywords/three-phase","display_name":"Three-phase","score":0.4763736426830292},{"id":"https://openalex.org/keywords/power-electronics","display_name":"Power electronics","score":0.4685336649417877},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4307854175567627},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4015067517757416},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3571169972419739},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.3093080520629883},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.22153419256210327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21494698524475098},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19635838270187378},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11726966500282288}],"concepts":[{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.6335005760192871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6011740565299988},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5987826585769653},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5604286193847656},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5341377258300781},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4998166561126709},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.49033379554748535},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47861212491989136},{"id":"https://openalex.org/C173871940","wikidata":"https://www.wikidata.org/wiki/Q471846","display_name":"Three-phase","level":3,"score":0.4763736426830292},{"id":"https://openalex.org/C178911571","wikidata":"https://www.wikidata.org/wiki/Q593143","display_name":"Power electronics","level":3,"score":0.4685336649417877},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4307854175567627},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4015067517757416},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3571169972419739},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3093080520629883},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.22153419256210327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21494698524475098},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19635838270187378},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11726966500282288},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2017.8262732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262732","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1515224583","https://openalex.org/W1556867418","https://openalex.org/W1965999924","https://openalex.org/W1972582564","https://openalex.org/W1984452440","https://openalex.org/W1988252428","https://openalex.org/W2004698192","https://openalex.org/W2050955352","https://openalex.org/W2116478105","https://openalex.org/W2125724187","https://openalex.org/W2138198111","https://openalex.org/W2140651482","https://openalex.org/W2288327659","https://openalex.org/W2288746221","https://openalex.org/W2288881459","https://openalex.org/W2319856473","https://openalex.org/W2339497397","https://openalex.org/W2475698787","https://openalex.org/W2489862577","https://openalex.org/W2626324256","https://openalex.org/W2748736672","https://openalex.org/W2962910558","https://openalex.org/W2963389126","https://openalex.org/W2964177151","https://openalex.org/W4252344031","https://openalex.org/W6739689009"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2367891013","https://openalex.org/W2007108787","https://openalex.org/W2133122801","https://openalex.org/W4313395906","https://openalex.org/W2374781202","https://openalex.org/W2543288774","https://openalex.org/W2135300732","https://openalex.org/W4245842867","https://openalex.org/W2552304026"],"abstract_inverted_index":{"Power-electronics":[0],"inverters":[1,31,51,72],"are":[2,32,56],"expected":[3],"to":[4,46,100,127],"satisfy":[5],"a":[6,37,66,107,119,135],"significant":[7],"fraction":[8],"of":[9,20,36,40,68,122,145],"system":[10,67],"load":[11],"in":[12,92,115],"next-generation":[13],"power":[14],"networks":[15,101],"with":[16,49,81,102],"the":[17,82,93,123,140,146],"growing":[18],"integration":[19],"renewable":[21],"resources":[22],"and":[23,34,85,118,142],"flexible":[24],"loads.":[25],"Typical":[26],"dynamical":[27],"models":[28],"for":[29,111,134],"grid-tied":[30,70],"nonlinear":[33],"composed":[35],"large":[38],"number":[39],"states;":[41],"therefore":[42],"it":[43],"is":[44],"impractical":[45],"study":[47],"systems":[48],"many":[50],"when":[52],"their":[53],"full":[54],"dynamics":[55],"retained.":[57],"In":[58],"our":[59],"previous":[60],"work,":[61],"we":[62,96],"have":[63],"shown":[64],"that":[65],"parallel-connected":[69],"three-phase":[71],"can":[73],"be":[74],"modeled":[75],"as":[76,88],"one":[77],"aggregated":[78],"inverter":[79,91],"unit":[80],"same":[83],"structure":[84],"state-space":[86],"dimension":[87],"any":[89],"individual":[90],"system.":[94],"Here,":[95],"extend":[97],"this":[98],"result":[99],"arbitrary":[103],"topologies":[104],"by":[105],"leveraging":[106],"classical":[108],"aggregation":[109],"method":[110],"coherent":[112],"synchronous":[113],"generators":[114],"transmission":[116],"networks,":[117],"linear":[120],"approximation":[121],"AC":[124],"power-flow":[125],"equations":[126],"ease":[128],"computational":[129,143],"burden.":[130],"Numerical":[131],"simulation":[132],"results":[133],"prototypical":[136],"distribution":[137],"feeder":[138],"demonstrate":[139],"accuracy":[141],"benefits":[144],"approach.":[147]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}