{"id":"https://openalex.org/W3135170164","doi":"https://doi.org/10.1109/tsg.2021.3063712","title":"Distributed Consensus-Based Economic Dispatch in Power Grids Using the Paillier Cryptosystem","display_name":"Distributed Consensus-Based Economic Dispatch in Power Grids Using the Paillier Cryptosystem","publication_year":2021,"publication_date":"2021-03-04","ids":{"openalex":"https://openalex.org/W3135170164","doi":"https://doi.org/10.1109/tsg.2021.3063712","mag":"3135170164"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2021.3063712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3063712","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":"http://hdl.handle.net/10072/412118","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004508211","display_name":"Yamin Yan","orcid":"https://orcid.org/0000-0001-5838-2652"},"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":true,"raw_author_name":"Yamin Yan","raw_affiliation_strings":["School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100370053","display_name":"Zhiyong Chen","orcid":"https://orcid.org/0000-0002-2033-4249"},"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":"Zhiyong Chen","raw_affiliation_strings":["School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029458848","display_name":"Vijay Varadharajan","orcid":"https://orcid.org/0000-0002-3621-9114"},"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":"Vijay Varadharajan","raw_affiliation_strings":["School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computing, University of Newcastle, Callaghan, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039813871","display_name":"M. J. Hossain","orcid":"https://orcid.org/0000-0001-7602-3581"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. J. Hossain","raw_affiliation_strings":["School of Engineering and Data Engineering, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Data Engineering, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083514029","display_name":"Graham Town","orcid":"https://orcid.org/0000-0001-7928-2845"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Graham E. Town","raw_affiliation_strings":["School of Engineering, Macquarie University, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering, Macquarie University, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5004508211"],"corresponding_institution_ids":["https://openalex.org/I78757542"],"apc_list":null,"apc_paid":null,"fwci":9.0113,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.98443162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"12","issue":"4","first_page":"3493","last_page":"3502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9983000159263611,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9983000159263611,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11498","display_name":"Security in Wireless Sensor Networks","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/paillier-cryptosystem","display_name":"Paillier cryptosystem","score":0.7645413875579834},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.7454107999801636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7227919101715088},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.5721142292022705},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49949026107788086},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.45572179555892944},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.44845929741859436},{"id":"https://openalex.org/keywords/arithmetic-underflow","display_name":"Arithmetic underflow","score":0.43273258209228516},{"id":"https://openalex.org/keywords/consensus-algorithm","display_name":"Consensus algorithm","score":0.4202965795993805},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3784988224506378},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3578605055809021},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.29249072074890137},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2815226912498474},{"id":"https://openalex.org/keywords/hybrid-cryptosystem","display_name":"Hybrid cryptosystem","score":0.24165767431259155},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2303917407989502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1357719600200653}],"concepts":[{"id":"https://openalex.org/C66989864","wikidata":"https://www.wikidata.org/wiki/Q594646","display_name":"Paillier cryptosystem","level":5,"score":0.7645413875579834},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.7454107999801636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7227919101715088},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.5721142292022705},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49949026107788086},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45572179555892944},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.44845929741859436},{"id":"https://openalex.org/C3265923","wikidata":"https://www.wikidata.org/wiki/Q669129","display_name":"Arithmetic underflow","level":2,"score":0.43273258209228516},{"id":"https://openalex.org/C2983222225","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus algorithm","level":2,"score":0.4202965795993805},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3784988224506378},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3578605055809021},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.29249072074890137},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2815226912498474},{"id":"https://openalex.org/C73468433","wikidata":"https://www.wikidata.org/wiki/Q1639918","display_name":"Hybrid cryptosystem","level":4,"score":0.24165767431259155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2303917407989502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1357719600200653},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tsg.2021.3063712","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3063712","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:repository.hkust.edu.hk:1783.1-111829","is_oa":false,"landing_page_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000663539700062","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"},{"id":"pmh:oai:repository.ust.hk:1783.1-111829","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-111829","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:research-repository.griffith.edu.au:10072/412118","is_oa":true,"landing_page_url":"http://hdl.handle.net/10072/412118","pdf_url":null,"source":{"id":"https://openalex.org/S4306402548","display_name":"Griffith Research Online (Griffith University, Queensland, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11701301","host_organization_name":"Griffith University","host_organization_lineage":["https://openalex.org/I11701301"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},{"id":"pmh:uon:49369","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1474783","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","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:research-repository.griffith.edu.au:10072/412118","is_oa":true,"landing_page_url":"http://hdl.handle.net/10072/412118","pdf_url":null,"source":{"id":"https://openalex.org/S4306402548","display_name":"Griffith Research Online (Griffith University, Queensland, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11701301","host_organization_name":"Griffith University","host_organization_lineage":["https://openalex.org/I11701301"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1509698749","https://openalex.org/W1571403844","https://openalex.org/W2032987408","https://openalex.org/W2044027027","https://openalex.org/W2044212084","https://openalex.org/W2084044206","https://openalex.org/W2111118312","https://openalex.org/W2132172731","https://openalex.org/W2150823352","https://openalex.org/W2296217093","https://openalex.org/W2340384825","https://openalex.org/W2406452102","https://openalex.org/W2478913623","https://openalex.org/W2560599508","https://openalex.org/W2615509641","https://openalex.org/W2725337021","https://openalex.org/W2782101595","https://openalex.org/W2792169732","https://openalex.org/W2800651504","https://openalex.org/W2914573678","https://openalex.org/W2922105571","https://openalex.org/W2942536919","https://openalex.org/W2962840086","https://openalex.org/W2964710596","https://openalex.org/W2964866233","https://openalex.org/W2984195658","https://openalex.org/W3004324458","https://openalex.org/W3004761762","https://openalex.org/W6714210867","https://openalex.org/W6773656395"],"related_works":["https://openalex.org/W4238582915","https://openalex.org/W1575311728","https://openalex.org/W2369575317","https://openalex.org/W3032578772","https://openalex.org/W1515856307","https://openalex.org/W1528334372","https://openalex.org/W197565096","https://openalex.org/W2384195984","https://openalex.org/W2023320843","https://openalex.org/W3183297242"],"abstract_inverted_index":{"Economic":[0],"dispatch":[1,21,40],"is":[2,57,134],"a":[3,24,32,99],"critical":[4],"problem":[5,22,91],"in":[6,23,127],"operation":[7],"of":[8,68,115,129],"power":[9],"grids.":[10],"A":[11],"consensus-based":[12,38],"algorithm":[13,41],"was":[14],"recently":[15],"proposed":[16,74],"to":[17,86],"solve":[18],"the":[19,37,43,53,65,84,87,116],"economic":[20,39],"distributed":[25],"manner.":[26],"In":[27],"this":[28],"paper,":[29],"we":[30],"propose":[31],"novel":[33],"secure":[34,47,75],"scheme":[35,48,76],"for":[36,101],"using":[42],"Paillier":[44],"cryptosystem.":[45],"This":[46],"ensures":[49],"that":[50],"not":[51],"only":[52],"network":[54,94,107],"transmitted":[55],"information":[56,67,104],"protected":[58],"from":[59],"external":[60],"malicious":[61],"party":[62],"but":[63],"also":[64],"privacy":[66],"each":[69],"node":[70],"remains":[71],"intact.":[72],"The":[73,125],"has":[77],"two":[78],"features.":[79],"First,":[80],"it":[81,97],"relies":[82],"on":[83],"solution":[85],"so-called":[88],"structural":[89],"consensus":[90],"with":[92,109],"time-varying":[93],"weights.":[95],"Second,":[96],"contains":[98],"strategy":[100],"transmitting":[102],"encrypted":[103],"and":[105,122,132,140],"generating":[106],"weights":[108],"randomness,":[110],"as":[111,113],"well":[112],"treatment":[114],"practical":[117],"issues":[118],"like":[119],"quantization":[120],"error":[121],"computation":[123],"overflow/underflow.":[124],"performance":[126],"terms":[128],"cost":[130],"optimization":[131],"privacy-preserving":[133],"verified":[135],"by":[136],"rigorous":[137],"theoretical":[138],"analysis":[139],"numerical":[141],"simulation.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":29},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}