{"id":"https://openalex.org/W4319302720","doi":"https://doi.org/10.1109/tase.2023.3241491","title":"Linearization Method for Large-Scale Hydro-Thermal Security-Constrained Unit Commitment","display_name":"Linearization Method for Large-Scale Hydro-Thermal Security-Constrained Unit Commitment","publication_year":2023,"publication_date":"2023-02-06","ids":{"openalex":"https://openalex.org/W4319302720","doi":"https://doi.org/10.1109/tase.2023.3241491"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3241491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3241491","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/99197/1/Qu_Linearization_Large-Scale_Hydro-Thermal.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086159466","display_name":"Ming Qu","orcid":"https://orcid.org/0000-0001-7802-7631"},"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":"Ming Qu","raw_affiliation_strings":["School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0001-7802-7631","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010781360","display_name":"Tao Ding","orcid":"https://orcid.org/0000-0002-7590-0172"},"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":"Tao Ding","raw_affiliation_strings":["School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0002-7590-0172","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003746873","display_name":"Chenggang Mu","orcid":"https://orcid.org/0000-0001-9514-5402"},"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":"Chenggang Mu","raw_affiliation_strings":["School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0001-9514-5402","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101403961","display_name":"Xiaosheng Zhang","orcid":"https://orcid.org/0000-0003-1886-4184"},"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":"Xiaosheng Zhang","raw_affiliation_strings":["School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0003-1886-4184","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kai Pan","orcid":"https://orcid.org/0000-0002-6793-7506"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kai Pan","raw_affiliation_strings":["Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-6793-7506","affiliations":[{"raw_affiliation_string":"Department of Logistics and Maritime Studies, The Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062440795","display_name":"Mohammad Shahidehpour","orcid":"https://orcid.org/0000-0002-8994-1688"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Shahidehpour","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA"],"raw_orcid":"https://orcid.org/0000-0002-8994-1688","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8562,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85146957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"21","issue":"2","first_page":"1754","last_page":"1766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9987999796867371,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9943000078201294,"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/power-system-simulation","display_name":"Power system simulation","score":0.6775840520858765},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6681153774261475},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.48150739073753357},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.47948703169822693},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.4725883901119232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42248743772506714},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4210956394672394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39321276545524597},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16441160440444946},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.10596063733100891},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.09931355714797974}],"concepts":[{"id":"https://openalex.org/C116219307","wikidata":"https://www.wikidata.org/wiki/Q7236625","display_name":"Power system simulation","level":4,"score":0.6775840520858765},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6681153774261475},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.48150739073753357},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.47948703169822693},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.4725883901119232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42248743772506714},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4210956394672394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39321276545524597},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16441160440444946},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.10596063733100891},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.09931355714797974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tase.2023.3241491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3241491","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/99197","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/99197","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/99197/1/Qu_Linearization_Large-Scale_Hydro-Thermal.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/99197","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/99197","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/99197/1/Qu_Linearization_Large-Scale_Hydro-Thermal.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G2695395846","display_name":null,"funder_award_id":"52277123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G652081930","display_name":null,"funder_award_id":"51977166","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7081228060","display_name":"\u8003\u8651\u539f\u6599\u4f9b\u5e94\u77ed\u7f3a\u53ca\u51c0\u9700\u6c42\u968f\u673a\u7684\u7535\u529b\u7cfb\u7edf\u8fd0\u884c\u4f18\u5316\u95ee\u9898\u7814\u7a76","funder_award_id":"72001185","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7586486918","display_name":null,"funder_award_id":"2022JC-19","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4319302720.pdf","grobid_xml":"https://content.openalex.org/works/W4319302720.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1571403844","https://openalex.org/W1667199472","https://openalex.org/W1991809981","https://openalex.org/W2003407209","https://openalex.org/W2004281216","https://openalex.org/W2016053407","https://openalex.org/W2022170371","https://openalex.org/W2048881327","https://openalex.org/W2062343321","https://openalex.org/W2110377881","https://openalex.org/W2117799989","https://openalex.org/W2131381360","https://openalex.org/W2132056139","https://openalex.org/W2133996598","https://openalex.org/W2138907771","https://openalex.org/W2168324649","https://openalex.org/W2346672405","https://openalex.org/W2348994807","https://openalex.org/W2571088323","https://openalex.org/W2580454818","https://openalex.org/W2795859926","https://openalex.org/W2897339689","https://openalex.org/W2906640402","https://openalex.org/W2935914371","https://openalex.org/W2945539990","https://openalex.org/W2962767937","https://openalex.org/W2963822094","https://openalex.org/W2968466300","https://openalex.org/W2980623035","https://openalex.org/W3003438940","https://openalex.org/W3022327709","https://openalex.org/W3025397688","https://openalex.org/W3117808140","https://openalex.org/W3196050100","https://openalex.org/W4226113707","https://openalex.org/W4250815651"],"related_works":["https://openalex.org/W2553468687","https://openalex.org/W1974955413","https://openalex.org/W2953137247","https://openalex.org/W2011675579","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W4232431455"],"abstract_inverted_index":{"Security-constrained":[0],"unit":[1,214],"commitment":[2,95,215],"(SCUC)":[3],"is":[4,19,51,111,140,236,259,286,299,331,336],"one":[5],"of":[6,17,46,63,85,89,100,135,145,162,197,202,232,255,265,281],"the":[7,22,59,70,83,97,109,132,136,146,158,163,177,194,200,222,230,233,239,246,252,256,266,279,282,292,296,306,315,328,340,344,348,358,363],"most":[8],"fundamental":[9],"optimization":[10],"problems":[11],"in":[12,92,124,192],"power":[13,274],"systems.":[14],"The":[15,204,333],"objective":[16],"SCUC":[18,72,178,198],"to":[20,34,53,117,167,183,211,313,361],"minimize":[21],"operating":[23],"cost":[24],"while":[25,295,319],"respecting":[26],"both":[27],"system-wide":[28],"and":[29,37,78,96,160,243,250,276],"generator-specific":[30],"constraints.":[31],"It":[32,187],"leads":[33],"a":[35,43,66,93,102,172,184,324,353],"large-scale":[36,114,154,212],"mixed-integer":[38,115],"programming":[39,116,119,174],"(MIP)":[40],"model":[41,139,175,285,360],"with":[42,74,245,291],"large":[44],"number":[45],"binary":[47],"decision":[48,307],"variables":[49],"which":[50,108],"difficult":[52],"solve.":[54],"This":[55,169],"paper,":[56],"based":[57],"on":[58,152],"convex":[60,90],"hull":[61],"theory":[62],"single-unit,":[64],"proposes":[65,171],"linearization":[67],"method":[68,99,206,235,242,258,335,350],"for":[69,176,339,357],"hydro-thermal":[71],"problem":[73,179],"decoupled":[75],"thermal":[76],"units":[77],"variable-head":[79],"hydro":[80],"units.":[81],"Then,":[82],"strategy":[84],"embedding":[86],"two":[87,224],"types":[88],"hulls":[91],"multi-unit":[94],"heuristic":[98],"constructing":[101],"feasible":[103],"solution":[104,134,318,356],"are":[105],"designed,":[106],"by":[107,180],"multi-UC":[110],"approximated":[112],"from":[113,199],"linear":[118,173],"that":[120,131,144,264,278,342],"can":[121,207,351],"be":[122,208,227],"solved":[123],"polynomial":[125],"time.":[126],"Finally,":[127],"we":[128],"theoretically":[129],"prove":[130],"optimal":[133,317,346],"proposed":[137,164,205,234,257,283,334,349],"LP":[138,284],"always":[141],"better":[142,218],"than":[143,238,263],"Lagrangian":[147,240],"Relaxation":[148],"model.":[149,268],"Numerical":[150],"experiments":[151],"several":[153],"test":[155],"systems":[156,275],"demonstrate":[157],"effectiveness":[159],"efficiency":[161,254],"method.":[165],"Note":[166],"Practitioners\u2014":[168],"paper":[170],"lifting":[181],"up":[182],"higher-dimensional":[185],"space.":[186],"realizes":[188],"an":[189,321],"important":[190],"innovation":[191],"reducing":[193],"computational":[195,253,297],"complexity":[196],"perspective":[201],"linearization.":[203],"well":[209],"applied":[210],"long-term":[213],"problems.":[216],"To":[217],"use":[219],"this":[220],"method,":[221],"following":[223],"properties":[225],"should":[226],"highlighted:":[228],"1)":[229],"error":[231,280],"less":[237],"relaxation":[241],"decreases":[244],"increasing":[247],"system":[248],"scales":[249],"2)":[251],"10-100":[260],"times":[261],"faster":[262],"MIP":[267,294,359],"We":[269],"have":[270],"tested":[271],"many":[272],"practical":[273,304],"find":[277,314],"usually":[287,309],"very":[288],"small":[289],"compared":[290],"precise":[293,316,345],"performance":[298],"significantly":[300],"improved.":[301],"In":[302],"some":[303],"cases,":[305],"makers":[308],"do":[310],"not":[311],"want":[312],"only":[320],"approximation":[322],"under":[323],"fast":[325],"speed,":[326],"because":[327],"boundary":[329],"condition":[330],"imprecise.":[332],"useful.":[337],"Besides,":[338],"cases":[341],"need":[343],"solution,":[347],"provide":[352],"high-quality":[354],"initial":[355],"accelerate":[362],"convergence.":[364]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":11}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}