{"id":"https://openalex.org/W3202715744","doi":"https://doi.org/10.1109/case49439.2021.9551681","title":"A Distributed Sub-Gradient Optimal Scheduling Method Based on Primal Decomposition with Application to Multi-Area Interconnected Power Systems","display_name":"A Distributed Sub-Gradient Optimal Scheduling Method Based on Primal Decomposition with Application to Multi-Area Interconnected Power Systems","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3202715744","doi":"https://doi.org/10.1109/case49439.2021.9551681","mag":"3202715744"},"language":"en","primary_location":{"id":"doi:10.1109/case49439.2021.9551681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/case49439.2021.9551681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 17th International Conference on Automation Science and Engineering (CASE)","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/A5071529034","display_name":"Shibiao Shao","orcid":"https://orcid.org/0000-0002-9266-110X"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shibiao Shao","raw_affiliation_strings":["Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048293972","display_name":"Feng Gao","orcid":"https://orcid.org/0000-0002-4969-5195"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Gao","raw_affiliation_strings":["Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065134331","display_name":"Jiang Wu","orcid":"https://orcid.org/0000-0003-4628-7660"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiang Wu","raw_affiliation_strings":["Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032033256","display_name":"Qiaozhu Zhai","orcid":"https://orcid.org/0000-0002-7312-4923"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiaozhu Zhai","raw_affiliation_strings":["Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Institute, MOE KLINNS Lab, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051050175","display_name":"Tian Xing","orcid":"https://orcid.org/0000-0003-0528-2644"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xing Tian","raw_affiliation_strings":["Power Grid Planning and Development Research Center, State Grid Ningxia Electric Power Eco-Tech Research Institute, Yinchuan, China"],"affiliations":[{"raw_affiliation_string":"Power Grid Planning and Development Research Center, State Grid Ningxia Electric Power Eco-Tech Research Institute, Yinchuan, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071529034"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10594802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"860","last_page":"865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"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/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9995999932289124,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9962999820709229,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7905745506286621},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6254372000694275},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5998589992523193},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5353017449378967},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5240243077278137},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5131993889808655},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5004317760467529},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.46022018790245056},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4263136684894562},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.4133441746234894},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3936882019042969},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.38024306297302246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24443769454956055}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7905745506286621},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6254372000694275},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5998589992523193},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5353017449378967},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5240243077278137},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5131993889808655},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5004317760467529},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.46022018790245056},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4263136684894562},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.4133441746234894},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3936882019042969},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.38024306297302246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24443769454956055},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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":1,"locations":[{"id":"doi:10.1109/case49439.2021.9551681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/case49439.2021.9551681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 17th International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7863411896","display_name":null,"funder_award_id":"4000-202035039A-0-0-00","funder_id":"https://openalex.org/F4320326707","funder_display_name":"State Grid Corporation of China"}],"funders":[{"id":"https://openalex.org/F4320326707","display_name":"State Grid Corporation of China","ror":"https://ror.org/05twwhs70"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W578667055","https://openalex.org/W2029075710","https://openalex.org/W2034275928","https://openalex.org/W2043883819","https://openalex.org/W2077151392","https://openalex.org/W2079477005","https://openalex.org/W2110050136","https://openalex.org/W2157110120","https://openalex.org/W2296319761","https://openalex.org/W2313629133","https://openalex.org/W2666717691","https://openalex.org/W2737628516","https://openalex.org/W2899441311","https://openalex.org/W2937535559","https://openalex.org/W2962889322","https://openalex.org/W2963362190"],"related_works":["https://openalex.org/W1527081771","https://openalex.org/W3010864523","https://openalex.org/W2111459478","https://openalex.org/W2031918653","https://openalex.org/W2951731403","https://openalex.org/W292509278","https://openalex.org/W3095929388","https://openalex.org/W1528141314","https://openalex.org/W2126297843","https://openalex.org/W1970158899"],"abstract_inverted_index":{"In":[0],"order":[1,126],"to":[2,14,36,92,105,127],"overcome":[3],"the":[4,7,38,52,80,89,107,112,118,131,144,161],"shortcoming":[5],"that":[6,160],"dual":[8,119],"distributed":[9,21,99],"sub-gradient":[10,22,100,113],"optimization":[11,23,54,65,70,91,101],"methods":[12],"need":[13],"construct":[15],"a":[16,19,67,98,166],"feasible":[17,168],"solution,":[18],"novel":[20],"method":[24,102,163],"based":[25],"on":[26,150],"primal":[27],"decomposition":[28],"is":[29,56,103,114],"proposed":[30,104,162],"in":[31,110,125],"this":[32],"paper":[33],"and":[34,58,66,76,83,95,138,157,171],"used":[35],"solve":[37,106],"joint":[39],"dynamic":[40],"economic":[41],"dispatch":[42],"(JDED)":[43],"problem":[44],"of":[45,154],"multi-area":[46],"interconnected":[47,152],"power":[48,74],"systems":[49,153],"(MAIPSs).":[50],"Firstly,":[51],"centralized":[53],"model":[55],"established":[57],"decomposed":[59,108],"into":[60,88],"multiple":[61],"independent":[62],"local":[63,90,122],"areas'":[64],"global":[68],"coordinator's":[69],"by":[71,116],"splitting":[72],"area":[73],"grids":[75],"cross-area":[77],"tie-lines.":[78],"Moreover,":[79],"slack":[81],"variables":[82],"corresponding":[84],"penalties":[85],"are":[86,141,147],"introduced":[87],"ensure":[93],"feasibility":[94],"optimality.":[96],"Secondly,":[97],"model,":[109],"which":[111],"calculated":[115],"using":[117],"multipliers":[120],"from":[121],"optimization.":[123],"Furthermore,":[124],"get":[128],"better":[129],"convergence,":[130],"heuristic":[132],"updating":[133],"rules":[134],"for":[135],"step":[136],"size":[137],"penalty":[139],"factor":[140],"designed.":[142],"Finally,":[143],"numerical":[145],"tests":[146],"carried":[148],"out":[149],"two":[151],"different":[155],"scales,":[156],"results":[158],"show":[159],"can":[164],"obtain":[165],"good":[167],"solution":[169],"directly":[170],"has":[172],"high":[173],"computational":[174],"efficiency.":[175]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}