{"id":"https://openalex.org/W3021441497","doi":"https://doi.org/10.23919/ecc51009.2020.9143766","title":"On Existence of Equilibria, Voltage Balancing, and Current Sharing in Consensus-Based DC Microgrids","display_name":"On Existence of Equilibria, Voltage Balancing, and Current Sharing in Consensus-Based DC Microgrids","publication_year":2020,"publication_date":"2020-05-01","ids":{"openalex":"https://openalex.org/W3021441497","doi":"https://doi.org/10.23919/ecc51009.2020.9143766","mag":"3021441497"},"language":"en","primary_location":{"id":"doi:10.23919/ecc51009.2020.9143766","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc51009.2020.9143766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.00068","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024621199","display_name":"Pulkit Nahata","orcid":"https://orcid.org/0000-0002-3505-7731"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pulkit Nahata","raw_affiliation_strings":["Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","Automatic Control Laboratory, Ecole Polytechnique Federale de Lausanne (EPFL), Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Automatic Control Laboratory, Ecole Polytechnique Federale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074145693","display_name":"Giancarlo Ferrari\u2010Trecate","orcid":"https://orcid.org/0000-0002-9492-9624"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Giancarlo Ferrari-Trecate","raw_affiliation_strings":["Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne,","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04262051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1216","last_page":"1223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10603","display_name":"Smart Grid Energy Management","score":0.988099992275238,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9843999743461609,"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":0.720553994178772},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.6473881602287292},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6358791589736938},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6231462359428406},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5834977030754089},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5753277540206909},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5636436939239502},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5419621467590332},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5201737880706787},{"id":"https://openalex.org/keywords/rlc-circuit","display_name":"RLC circuit","score":0.5024423599243164},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.49362123012542725},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4432612657546997},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.4286009669303894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42254072427749634},{"id":"https://openalex.org/keywords/constant-current","display_name":"Constant current","score":0.4171205163002014},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.4157297611236572},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.28913819789886475},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.28062063455581665},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24218446016311646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23066377639770508},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.18386420607566833},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.151654452085495},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13764390349388123},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.09015974402427673}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.720553994178772},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.6473881602287292},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6358791589736938},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6231462359428406},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5834977030754089},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5753277540206909},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5636436939239502},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5419621467590332},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5201737880706787},{"id":"https://openalex.org/C89880566","wikidata":"https://www.wikidata.org/wiki/Q323477","display_name":"RLC circuit","level":4,"score":0.5024423599243164},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.49362123012542725},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4432612657546997},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.4286009669303894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42254072427749634},{"id":"https://openalex.org/C53392680","wikidata":"https://www.wikidata.org/wiki/Q5163647","display_name":"Constant current","level":3,"score":0.4171205163002014},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.4157297611236572},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.28913819789886475},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.28062063455581665},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24218446016311646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23066377639770508},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.18386420607566833},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.151654452085495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13764390349388123},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.09015974402427673},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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":5,"locations":[{"id":"doi:10.23919/ecc51009.2020.9143766","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc51009.2020.9143766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2005.00068","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.00068","pdf_url":"https://arxiv.org/pdf/2005.00068","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3021441497","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2005.00068.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:infoscience.epfl.ch:276938","is_oa":true,"landing_page_url":"https://ecc20.eu/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"conference proceedings"},{"id":"doi:10.48550/arxiv.2005.00068","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.00068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.00068","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.00068","pdf_url":"https://arxiv.org/pdf/2005.00068","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3021441497.pdf","grobid_xml":"https://content.openalex.org/works/W3021441497.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1763243278","https://openalex.org/W1984452440","https://openalex.org/W1994440383","https://openalex.org/W2032098152","https://openalex.org/W2069462477","https://openalex.org/W2107396783","https://openalex.org/W2186178845","https://openalex.org/W2232335510","https://openalex.org/W2284066940","https://openalex.org/W2529433937","https://openalex.org/W2599950709","https://openalex.org/W2620518023","https://openalex.org/W2783315201","https://openalex.org/W2793577305","https://openalex.org/W2804503657","https://openalex.org/W2884003526","https://openalex.org/W2911984761","https://openalex.org/W2963000203","https://openalex.org/W2989980183","https://openalex.org/W3043397263","https://openalex.org/W4229706427","https://openalex.org/W6749919085"],"related_works":["https://openalex.org/W2765883907","https://openalex.org/W3176803657","https://openalex.org/W3127447264","https://openalex.org/W2907121820","https://openalex.org/W3049432921","https://openalex.org/W2601670820","https://openalex.org/W2806425539","https://openalex.org/W3199717377","https://openalex.org/W3200043196","https://openalex.org/W2774039951","https://openalex.org/W2782717214","https://openalex.org/W3155613531","https://openalex.org/W2972365224","https://openalex.org/W3087097512","https://openalex.org/W3113456348","https://openalex.org/W3200672043","https://openalex.org/W2583304395","https://openalex.org/W2989980183","https://openalex.org/W2605768029","https://openalex.org/W2897113101"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"present":[4],"new":[5],"secondary":[6,55],"regulators":[7],"for":[8,62,119],"current":[9],"sharing":[10],"and":[11,25,32,46,65,71,105,109,124],"voltage":[12,43,102],"balancing":[13],"in":[14,79],"DC":[15],"microgrids,":[16],"composed":[17],"of":[18,67,89,92,111],"distributed":[19],"generation":[20,94],"units,":[21,95],"dynamic":[22],"RLC":[23],"lines,":[24],"nonlinear":[26],"ZIP":[27],"(constant":[28],"impedance,":[29],"constant":[30,33],"current,":[31],"power)":[34],"loads.":[35],"The":[36],"proposed":[37],"controllers":[38],"sit":[39],"atop":[40],"a":[41,50,101],"primary":[42],"control":[44,56,83],"layer,":[45],"exchange":[47],"information":[48],"over":[49],"communication":[51,125],"network":[52,126],"to":[53],"perform":[54],"actions.":[57],"We":[58,99],"deduce":[59],"sufficient":[60],"conditions":[61],"the":[63,74,87,93,107],"existence":[64],"uniqueness":[66],"an":[68],"equilibrium":[69],"point,":[70],"show":[72],"that":[73],"desired":[75],"objectives":[76],"are":[77],"attained":[78],"steady":[80],"state.":[81],"Our":[82],"design":[84],"requires":[85],"only":[86],"knowledge":[88],"local":[90],"parameters":[91],"facilitating":[96],"plug-and-play":[97],"operations.":[98],"provide":[100],"stability":[103],"analysis,":[104],"illustrate":[106],"performance":[108],"robustness":[110],"our":[112],"designs":[113],"via":[114],"simulations.":[115],"All":[116],"results":[117],"hold":[118],"arbitrary,":[120],"albeit":[121],"connected,":[122],"microgrid":[123],"topologies.":[127]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
