{"id":"https://openalex.org/W3119527946","doi":"https://doi.org/10.1109/tsg.2020.3049054","title":"Real-Time Distributed Economic Dispatch Adapted to General Convex Cost Functions: A Secant Approximation-Based Method","display_name":"Real-Time Distributed Economic Dispatch Adapted to General Convex Cost Functions: A Secant Approximation-Based Method","publication_year":2021,"publication_date":"2021-01-04","ids":{"openalex":"https://openalex.org/W3119527946","doi":"https://doi.org/10.1109/tsg.2020.3049054","mag":"3119527946"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2020.3049054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.3049054","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091349192","display_name":"Haiwang Zhong","orcid":"https://orcid.org/0000-0001-9545-6243"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haiwang Zhong","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100662036","display_name":"Xinfei Yan","orcid":"https://orcid.org/0000-0001-6961-9408"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinfei Yan","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041085554","display_name":"Zhenfei Tan","orcid":"https://orcid.org/0000-0002-0509-3790"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenfei Tan","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091349192"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":1.9865,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86361798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"12","issue":"3","first_page":"2089","last_page":"2101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9991000294685364,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9889000058174133,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9860000014305115,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.7852009534835815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7089917659759521},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5781216621398926},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5679525136947632},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5426800847053528},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5258210897445679},{"id":"https://openalex.org/keywords/marginal-cost","display_name":"Marginal cost","score":0.5216175317764282},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4675437808036804},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4599648118019104},{"id":"https://openalex.org/keywords/secant-method","display_name":"Secant method","score":0.4155117869377136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3465188443660736},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.30265548825263977},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.25329798460006714},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2372691035270691},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11005747318267822},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07255327701568604}],"concepts":[{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.7852009534835815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7089917659759521},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5781216621398926},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5679525136947632},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5426800847053528},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5258210897445679},{"id":"https://openalex.org/C66887028","wikidata":"https://www.wikidata.org/wiki/Q382444","display_name":"Marginal cost","level":2,"score":0.5216175317764282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4675437808036804},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4599648118019104},{"id":"https://openalex.org/C93926214","wikidata":"https://www.wikidata.org/wiki/Q14915286","display_name":"Secant method","level":4,"score":0.4155117869377136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3465188443660736},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.30265548825263977},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.25329798460006714},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2372691035270691},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11005747318267822},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07255327701568604},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/tsg.2020.3049054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.3049054","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2443277970","display_name":null,"funder_award_id":"51777102","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5085009013","display_name":null,"funder_award_id":"5100-202099497A-0- 0-00","funder_id":"https://openalex.org/F4320326707","funder_display_name":"State Grid Corporation of China"},{"id":"https://openalex.org/G7092714072","display_name":null,"funder_award_id":"2020YFB0905900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326707","display_name":"State Grid Corporation of China","ror":"https://ror.org/05twwhs70"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W589766567","https://openalex.org/W1976742521","https://openalex.org/W2027420736","https://openalex.org/W2034275928","https://openalex.org/W2053395228","https://openalex.org/W2067311513","https://openalex.org/W2069512951","https://openalex.org/W2107396783","https://openalex.org/W2117618281","https://openalex.org/W2121039643","https://openalex.org/W2130019472","https://openalex.org/W2147143494","https://openalex.org/W2150823352","https://openalex.org/W2243672590","https://openalex.org/W2529364728","https://openalex.org/W2560708541","https://openalex.org/W2593049033","https://openalex.org/W2763609271","https://openalex.org/W2768301718","https://openalex.org/W2793136154","https://openalex.org/W4229706427","https://openalex.org/W4249448620"],"related_works":["https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W1985487460","https://openalex.org/W2383703363","https://openalex.org/W2557315028","https://openalex.org/W3214012101","https://openalex.org/W2740653611","https://openalex.org/W2284397587","https://openalex.org/W4297911281","https://openalex.org/W3000466668"],"abstract_inverted_index":{"The":[0,64,96,134],"increasing":[1],"penetration":[2,146],"of":[3,27,147],"distributed":[4,15,36],"energy":[5],"resources":[6],"(DERs)":[7],"in":[8,14,33,73,100,131,142],"power":[9],"systems":[10,143],"has":[11],"aroused":[12],"interest":[13],"economic":[16],"dispatch":[17],"(DED).":[18],"While":[19],"quadratic":[20,32],"cost":[21,44,58,66,89,125,155],"functions":[22,59,67,72,90,126],"are":[23,29,68,107],"usually":[24],"adopted,":[25],"those":[26],"DERs":[28,85,148],"not":[30],"necessarily":[31],"practice.":[34],"Existing":[35],"algorithms":[37],"perform":[38],"unsatisfying":[39],"convergence":[40,120],"rates":[41],"under":[42,122],"nonquadratic":[43],"functions.":[45,156],"Therefore,":[46],"this":[47],"article":[48],"proposes":[49],"a":[50,78],"secant":[51],"approximation-based":[52],"method":[53],"(SAM)":[54],"for":[55],"general":[56,123,153],"convex":[57,124,154],"to":[60,140],"achieve":[61],"efficient":[62],"convergence.":[63],"marginal":[65,88],"represented":[69],"by":[70],"linear":[71,87],"particular":[74],"price":[75,94,104],"intervals.":[76],"With":[77],"dynamic":[79],"ratio":[80],"consensus":[81],"(DRC)":[82],"approach,":[83],"the":[84,118],"with":[86,144,152],"can":[91,137],"rapidly":[92],"reach":[93],"consensus.":[95],"approximated":[97],"prices":[98],"can,":[99],"turn,":[101],"determine":[102],"new":[103],"intervals,":[105],"which":[106],"narrower":[108],"and":[109,127,149],"more":[110],"accurate.Case":[111],"studies":[112],"based":[113],"on":[114],"real-world":[115],"data":[116],"verify":[117],"improved":[119],"rate":[121],"exhibit":[128],"growing":[129],"performance":[130],"larger-scale":[132],"cases.":[133],"proposed":[135],"algorithm":[136],"be":[138],"applied":[139],"DED":[141],"high":[145],"massive":[150],"agents":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}