{"id":"https://openalex.org/W2768852899","doi":"https://doi.org/10.1109/tsg.2017.2773627","title":"Chance Constrained Reserve Scheduling Using Uncertain Controllable Loads Part I: Formulation and Scenario-Based Analysis","display_name":"Chance Constrained Reserve Scheduling Using Uncertain Controllable Loads Part I: Formulation and Scenario-Based Analysis","publication_year":2017,"publication_date":"2017-11-15","ids":{"openalex":"https://openalex.org/W2768852899","doi":"https://doi.org/10.1109/tsg.2017.2773627","mag":"2768852899"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2017.2773627","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2017.2773627","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/A5056169398","display_name":"Maria Vrakopoulou","orcid":"https://orcid.org/0000-0003-2937-5714"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Maria Vrakopoulou","raw_affiliation_strings":["Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100387288","display_name":"Bowen Li","orcid":"https://orcid.org/0000-0002-7789-6226"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bowen Li","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015257057","display_name":"Johanna L. Mathieu","orcid":"https://orcid.org/0000-0001-8834-5350"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johanna L. Mathieu","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":"https://orcid.org/0000-0001-8834-5350","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6322,"has_fulltext":false,"cited_by_count":101,"citation_normalized_percentile":{"value":0.96556038,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"10","issue":"2","first_page":"1608","last_page":"1617"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","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/T10603","display_name":"Smart Grid Energy Management","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/T10424","display_name":"Electric Power System Optimization","score":0.9994999766349792,"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":0.9972000122070312,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6969825029373169},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5719221234321594},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5616081357002258},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.5184932947158813},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.47837701439857483},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4294441044330597},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2912532687187195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1684841513633728}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6969825029373169},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5719221234321594},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5616081357002258},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.5184932947158813},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.47837701439857483},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4294441044330597},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2912532687187195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1684841513633728},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2017.2773627","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2017.2773627","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":0.8100000023841858,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G7359251641","display_name":null,"funder_award_id":"PIOF-GA-2013-626014","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8098028047","display_name":null,"funder_award_id":"CCF-1442495","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W172596906","https://openalex.org/W1555308066","https://openalex.org/W1973830370","https://openalex.org/W1977445582","https://openalex.org/W1984255025","https://openalex.org/W1987334565","https://openalex.org/W1999684212","https://openalex.org/W1999913837","https://openalex.org/W2000587848","https://openalex.org/W2005266162","https://openalex.org/W2005678164","https://openalex.org/W2007423841","https://openalex.org/W2009022268","https://openalex.org/W2029048982","https://openalex.org/W2039404136","https://openalex.org/W2039551338","https://openalex.org/W2074663062","https://openalex.org/W2078105365","https://openalex.org/W2084502662","https://openalex.org/W2089264829","https://openalex.org/W2093313974","https://openalex.org/W2094435766","https://openalex.org/W2098394615","https://openalex.org/W2104371886","https://openalex.org/W2106424475","https://openalex.org/W2120420875","https://openalex.org/W2121275441","https://openalex.org/W2132833284","https://openalex.org/W2174209625","https://openalex.org/W2327685928","https://openalex.org/W2337542931","https://openalex.org/W2397371338","https://openalex.org/W2527950842","https://openalex.org/W2572169820","https://openalex.org/W2736005047","https://openalex.org/W3100027482","https://openalex.org/W4250913065","https://openalex.org/W4256550092","https://openalex.org/W6606965931","https://openalex.org/W6660419996","https://openalex.org/W6669846953"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W62490179","https://openalex.org/W2954004777","https://openalex.org/W2951102138","https://openalex.org/W1568403290"],"abstract_inverted_index":{"This":[0,47],"paper":[1,48],"develops":[2],"a":[3,59,80,95,118],"multi-period":[4],"chance":[5],"constrained":[6],"optimal":[7],"power":[8,65],"flow":[9],"model":[10],"to":[11,27,137],"schedule":[12],"generation":[13],"and":[14,19,44,68,75,159],"reserves":[15,70,141],"from":[16,66],"both":[17],"generators":[18],"aggregations":[20],"of":[21,90,101,107,113,134,174],"controllable":[22,73],"electric":[23],"loads.":[24],"In":[25,54,145],"contrast":[26],"generator-based":[28],"reserve":[29,32,60,123],"capacities,":[30],"load-based":[31,140],"capacities":[33],"are":[34],"less":[35],"certain":[36],"because":[37],"they":[38],"depend":[39],"on":[40,98,130],"load":[41],"usage":[42],"patterns":[43],"ambient":[45],"conditions.":[46],"is":[49],"divided":[50],"in":[51],"two":[52],"parts.":[53],"part":[55,146],"I,":[56],"we":[57,148,177],"develop":[58],"scheduling":[61],"framework":[62],"managing":[63],"uncertain":[64,69],"wind":[67],"provided":[71],"by":[72],"loads,":[74],"solve":[76],"the":[77,99,108,131,135,150,153,161,164,167,172,175,181],"problem":[78,115,151],"using":[79,180],"probabilistically":[81],"robust":[82],"optimization":[83],"method":[84],"that":[85],"may":[86],"require":[87],"large":[88],"numbers":[89],"uncertainty":[91,109,154],"scenarios":[92],"but":[93],"provides":[94],"priori":[96],"guarantees":[97],"probability":[100],"constraint":[102],"satisfaction,":[103],"assuming":[104,152],"no":[105],"knowledge":[106],"distributions.":[110],"The":[111],"solution":[112],"this":[114],"offers":[116],"us":[117],"policy-based":[119],"strategy":[120],"for":[121],"real-time":[122],"deployment.":[124],"We":[125],"derive":[126],"simple":[127],"rules,":[128],"based":[129],"cost":[132],"parameters":[133],"resources,":[136],"determine":[138],"when":[139],"will":[142],"be":[143],"preferable.":[144],"II,":[147],"reformulate":[149],"follows":[155],"multivariate":[156],"normal":[157],"distributions":[158],"re-solve":[160],"problem,":[162],"comparing":[163],"results":[165],"against":[166],"randomized":[168],"technique.":[169],"To":[170],"evaluate":[171],"performance":[173],"methods,":[176],"conduct":[178],"simulations":[179],"IEEE":[182],"30-bus":[183],"network.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":10}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}