{"id":"https://openalex.org/W2569956346","doi":"https://doi.org/10.1109/cdc.2016.7798763","title":"Kirchhoff-Braess phenomena in DC electric networks","display_name":"Kirchhoff-Braess phenomena in DC electric networks","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2569956346","doi":"https://doi.org/10.1109/cdc.2016.7798763","mag":"2569956346"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798763","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","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/A5100328259","display_name":"Shuai Wang","orcid":"https://orcid.org/0000-0002-0288-4212"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shuai Wang","raw_affiliation_strings":["Division of Systems Engineering, Division of Systems Engineering at Boston University, Boston, MA"],"affiliations":[{"raw_affiliation_string":"Division of Systems Engineering, Division of Systems Engineering at Boston University, Boston, MA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001586180","display_name":"John Baillieul","orcid":"https://orcid.org/0000-0002-5009-0708"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Baillieul","raw_affiliation_strings":["Division of Systems Engineering, Division of Systems Engineering at Boston University, Boston, MA"],"affiliations":[{"raw_affiliation_string":"Division of Systems Engineering, Division of Systems Engineering at Boston University, Boston, MA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100328259"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":0.9188,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7896659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3286","last_page":"3293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9955000281333923,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9955000281333923,"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":0.9948999881744385,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9842000007629395,"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/grid","display_name":"Grid","score":0.5777978301048279},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.573072075843811},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5444394946098328},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5106664299964905},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.45265713334083557},{"id":"https://openalex.org/keywords/cell-transmission-model","display_name":"Cell Transmission Model","score":0.44991159439086914},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.44881245493888855},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.44588178396224976},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4454609751701355},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.4100300967693329},{"id":"https://openalex.org/keywords/traffic-congestion","display_name":"Traffic congestion","score":0.3359013795852661},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3060966432094574},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1835668981075287},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17747941613197327},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17395952343940735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1659204065799713},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15818029642105103},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.14431080222129822},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.13363677263259888}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5777978301048279},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.573072075843811},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5444394946098328},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5106664299964905},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.45265713334083557},{"id":"https://openalex.org/C139417690","wikidata":"https://www.wikidata.org/wiki/Q5058168","display_name":"Cell Transmission Model","level":3,"score":0.44991159439086914},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.44881245493888855},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.44588178396224976},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4454609751701355},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.4100300967693329},{"id":"https://openalex.org/C2779888511","wikidata":"https://www.wikidata.org/wiki/Q244156","display_name":"Traffic congestion","level":2,"score":0.3359013795852661},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3060966432094574},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1835668981075287},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17747941613197327},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17395952343940735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1659204065799713},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15818029642105103},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.14431080222129822},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.13363677263259888},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2016.7798763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798763","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W566286195","https://openalex.org/W583182361","https://openalex.org/W654566684","https://openalex.org/W1571570958","https://openalex.org/W1587783288","https://openalex.org/W2004363353","https://openalex.org/W2030949386","https://openalex.org/W2101269949","https://openalex.org/W2109841999","https://openalex.org/W2111444261","https://openalex.org/W2126496074","https://openalex.org/W2126668795","https://openalex.org/W2142905352","https://openalex.org/W2226104960","https://openalex.org/W2311531209","https://openalex.org/W3140936135","https://openalex.org/W6617078783"],"related_works":["https://openalex.org/W2146455328","https://openalex.org/W2369004864","https://openalex.org/W3113872603","https://openalex.org/W2384239633","https://openalex.org/W4243061459","https://openalex.org/W2802202720","https://openalex.org/W4226139759","https://openalex.org/W1955810158","https://openalex.org/W2086397253","https://openalex.org/W2127301788"],"abstract_inverted_index":{"Well":[0],"known":[1],"in":[2,12,61,68,88,141,144,153],"the":[3,28,33,38,94,104,114,132,139],"theory":[4],"of":[5,30,35,44,75,96,127],"traffic":[6],"flows,":[7],"Braess":[8],"paradox":[9],"states":[10],"that":[11,19,110,129],"a":[13,21,73,125],"congested":[14],"network,":[15],"it":[16],"may":[17],"happen":[18],"adding":[20],"new":[22],"path":[23],"between":[24],"destinations":[25],"can":[26,70],"increase":[27,67],"level":[29],"congestion.":[31],"In":[32],"case":[34,95],"transportation":[36],"networks":[37,63,92,148],"phenomenon":[39],"results":[40,83,105],"from":[41],"selfish":[42],"decisions":[43],"network":[45],"participants":[46],"who":[47],"seek":[48],"to":[49,93,113,119,131,137],"optimize":[50],"their":[51],"own":[52],"performance":[53],"metrics.":[54],"Similar":[55],"phenomena":[56,87],"are":[57,111],"now":[58],"being":[59],"studied":[60],"electric":[62],"where":[64],"an":[65],"analogous":[66],"congestion":[69,86,143],"arise":[71],"as":[72],"consequence":[74],"Kirchhoff's":[76],"laws.":[77],"This":[78],"paper":[79],"extends":[80],"our":[81],"recent":[82],"on":[84,151],"Braess-like":[85],"voltage":[89],"controlled":[90,98],"DC":[91],"current":[97],"and":[99,123,146],"mixed":[100],"source":[101],"networks.":[102],"While":[103],"below":[106],"have":[107],"qualitative":[108],"characteristics":[109],"similar":[112],"voltage-controlled":[115],"case,":[116],"there":[117],"appears":[118],"be":[120],"more":[121],"subtlety":[122],"even":[124],"degree":[126],"indeterminacy":[128],"point":[130],"need":[133],"for":[134],"further":[135],"research":[136],"understand":[138],"ways":[140],"which":[142],"transmission":[145],"distribution":[147],"will":[149],"depend":[150],"changes":[152],"grid":[154],"topologies.":[155]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}