{"id":"https://openalex.org/W2808751454","doi":"https://doi.org/10.1109/tsg.2018.2849583","title":"Ultimate Boundedness of Voltage Droop Control With Distributed Secondary Control Loops","display_name":"Ultimate Boundedness of Voltage Droop Control With Distributed Secondary Control Loops","publication_year":2018,"publication_date":"2018-06-21","ids":{"openalex":"https://openalex.org/W2808751454","doi":"https://doi.org/10.1109/tsg.2018.2849583","mag":"2808751454"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2018.2849583","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2849583","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":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103102059","display_name":"M\u00f3nica Romero","orcid":"https://orcid.org/0000-0002-7455-7413"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I4141589","display_name":"National University of Rosario","ror":"https://ror.org/02tphfq59","country_code":"AR","type":"education","lineage":["https://openalex.org/I4141589"]},{"id":"https://openalex.org/I4210109384","display_name":"Centro Internacional Franco-Argentino de Ciencias de la Informaci\u00f3n y de Sistemas","ror":"https://ror.org/02m19wv39","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I21491767","https://openalex.org/I4141589","https://openalex.org/I4210107757","https://openalex.org/I4210109384","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Monica E. Romero","raw_affiliation_strings":["CIFASIS \u2013 CONICET, FCEIA, National University of Rosario, Rosario, Argentina"],"affiliations":[{"raw_affiliation_string":"CIFASIS \u2013 CONICET, FCEIA, National University of Rosario, Rosario, Argentina","institution_ids":["https://openalex.org/I4141589","https://openalex.org/I151201029","https://openalex.org/I4210109384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079947588","display_name":"Mar\u00eda M. Ser\u00f3n","orcid":"https://orcid.org/0000-0003-2709-6607"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Maria M. Seron","raw_affiliation_strings":["Priority Research Centre for Complex Dynamic Systems and Control, School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Priority Research Centre for Complex Dynamic Systems and Control, School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103102059"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I4141589","https://openalex.org/I4210109384"],"apc_list":null,"apc_paid":null,"fwci":2.2469,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.88476715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"4107","last_page":"4115"},"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9937000274658203,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9925000071525574,"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/voltage-droop","display_name":"Voltage droop","score":0.9563430547714233},{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.8884837031364441},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7706037163734436},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.6539219617843628},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6068916916847229},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.556398868560791},{"id":"https://openalex.org/keywords/voltage-regulation","display_name":"Voltage regulation","score":0.5464774370193481},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48309874534606934},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.46711429953575134},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4614265263080597},{"id":"https://openalex.org/keywords/voltage-optimisation","display_name":"Voltage optimisation","score":0.43206408619880676},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.37057390809059143},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3698234558105469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3558562397956848},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.34710991382598877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3094704747200012},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.23625096678733826},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2231164276599884},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09498250484466553},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08460459113121033}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.9563430547714233},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.8884837031364441},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7706037163734436},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.6539219617843628},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6068916916847229},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.556398868560791},{"id":"https://openalex.org/C196226539","wikidata":"https://www.wikidata.org/wiki/Q7940752","display_name":"Voltage regulation","level":3,"score":0.5464774370193481},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48309874534606934},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.46711429953575134},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4614265263080597},{"id":"https://openalex.org/C46529443","wikidata":"https://www.wikidata.org/wiki/Q7940750","display_name":"Voltage optimisation","level":4,"score":0.43206408619880676},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.37057390809059143},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3698234558105469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3558562397956848},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.34710991382598877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3094704747200012},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.23625096678733826},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2231164276599884},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09498250484466553},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08460459113121033},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsg.2018.2849583","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2849583","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:figshare.com:article/29035058","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"},{"id":"pmh:oai:vitalprd00.priv:uon:35861","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1408596","pdf_url":null,"source":{"id":"https://openalex.org/S4377196612","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/29035058","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1484104892","https://openalex.org/W1504052325","https://openalex.org/W1665876831","https://openalex.org/W1971008916","https://openalex.org/W1974729410","https://openalex.org/W1976446226","https://openalex.org/W1980187301","https://openalex.org/W1990833963","https://openalex.org/W1994440383","https://openalex.org/W1998109019","https://openalex.org/W2007339283","https://openalex.org/W2040605126","https://openalex.org/W2116892010","https://openalex.org/W2130055347","https://openalex.org/W2136236807","https://openalex.org/W2146924502","https://openalex.org/W2149081512","https://openalex.org/W2150544314","https://openalex.org/W2162156389","https://openalex.org/W2568827910","https://openalex.org/W2594031798","https://openalex.org/W2604955474","https://openalex.org/W2609455493","https://openalex.org/W3101412365","https://openalex.org/W3102478690","https://openalex.org/W4232284745","https://openalex.org/W4242226933"],"related_works":["https://openalex.org/W2911327373","https://openalex.org/W4377702023","https://openalex.org/W2964907828","https://openalex.org/W2526996128","https://openalex.org/W2344691617","https://openalex.org/W4225917191","https://openalex.org/W2165471520","https://openalex.org/W2087078665","https://openalex.org/W2135379734","https://openalex.org/W3200073609"],"abstract_inverted_index":{"Conditions":[0],"are":[1],"derived":[2],"for":[3,52],"ultimate":[4,40,95],"boundedness":[5],"of":[6,47,55,72,79,109,121,129],"voltage":[7,17,104],"stabilization":[8],"and":[9,21,43],"reactive":[10,36,112],"power":[11,37,113],"balancing":[12],"in":[13,81],"electrical":[14],"microgrids":[15,82,122],"with":[16,59,83,119],"(E-Q)":[18],"droop":[19],"control":[20,24],"distributed":[22],"secondary":[23,84],"loops.":[25],"This":[26],"paper":[27],"shows":[28],"that":[29],"under":[30,106],"a":[31,69,99,127,134],"bound":[32,41],"on":[33,88],"the":[34,53,56,73,110,117,130],"load":[35,111],"demand,":[38],"an":[39],"set":[42],"its":[44],"associated":[45],"region":[46],"attraction":[48],"can":[49],"be":[50],"computed":[51],"deviation":[54],"microgrid":[57],"voltages":[58],"respect":[60],"to":[61],"their":[62],"nominal":[63],"values.":[64],"The":[65,93],"proposed":[66],"approach":[67],"employs":[68],"nonlinear":[70],"model":[71],"microgrid,":[74],"departing":[75],"from":[76],"prevailing":[77],"analyses":[78],"stability":[80],"controllers,":[85],"typically":[86],"based":[87],"linearization":[89],"around":[90],"equilibrium":[91],"points.":[92],"obtained":[94],"bounds":[96],"serve":[97],"as":[98],"performance":[100],"measure":[101],"guaranteeing":[102],"tight":[103],"regulation":[105],"large":[107],"variations":[108],"demand.":[114],"We":[115],"illustrate":[116],"results":[118],"examples":[120],"having":[123],"different":[124],"complexity,":[125],"including":[126],"subnetwork":[128],"CIGRE":[131],"benchmark":[132],"representing":[133],"medium-voltage":[135],"rural":[136],"distribution":[137],"network.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}