{"id":"https://openalex.org/W2004783229","doi":"https://doi.org/10.1109/cdc.2013.6760772","title":"Aggregate flexibility of a collection of loadsπ","display_name":"Aggregate flexibility of a collection of loadsπ","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2004783229","doi":"https://doi.org/10.1109/cdc.2013.6760772","mag":"2004783229"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5040616226","display_name":"Ashutosh Nayyar","orcid":"https://orcid.org/0000-0001-8310-7505"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ashutosh Nayyar","raw_affiliation_strings":["Electrical Engineering and Computer Sciences, University of California, Berkeley","Electr. Eng. & Comput. Sci., Univ. of California Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Electr. Eng. & Comput. Sci., Univ. of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109232793","display_name":"Josh A. Taylor","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I4210162069","display_name":"Electoral Commission","ror":"https://ror.org/055e0ds53","country_code":"GB","type":"government","lineage":["https://openalex.org/I4210162069"]}],"countries":["CA","GB"],"is_corresponding":false,"raw_author_name":"Josh Taylor","raw_affiliation_strings":["Electical and Computer Engineering, University of Toronto, Canada","Electr. & Comput. Eng, Univ. of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Electical and Computer Engineering, University of Toronto, Canada","institution_ids":["https://openalex.org/I4210162069"]},{"raw_affiliation_string":"Electr. & Comput. Eng, Univ. of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086775917","display_name":"Anand Subramanian","orcid":"https://orcid.org/0000-0002-9244-9969"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anand Subramanian","raw_affiliation_strings":["Mechanical Engineering, University of California, Berkeley","Mech. Eng., Univ. of California, Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Mech. Eng., Univ. of California, Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023927229","display_name":"Kameshwar Poolla","orcid":"https://orcid.org/0000-0001-6098-3537"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kameshwar Poolla","raw_affiliation_strings":["Electrical Engineering and Computer Sciences, University of California, Berkeley","Mech. Eng., Univ. of California, Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Mech. Eng., Univ. of California, Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040150415","display_name":"Pravin Varaiya","orcid":"https://orcid.org/0000-0002-1900-9932"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pravin Varaiya","raw_affiliation_strings":["Electrical Engineering and Computer Sciences, University of California, Berkeley","Electr. Eng. & Comput. Sci., Univ. of California Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Electr. Eng. & Comput. Sci., Univ. of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040616226"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":6.6206,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.97038129,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"5600","last_page":"5607"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9994000196456909,"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/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9994000196456909,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9991000294685364,"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/T10663","display_name":"Advanced Battery Technologies Research","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/flexibility","display_name":"Flexibility (engineering)","score":0.7221460342407227},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.6012591123580933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5325366854667664},{"id":"https://openalex.org/keywords/data-collection","display_name":"Data collection","score":0.4617960453033447},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.43260055780410767},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.42248743772506714},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3593931496143341},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32558298110961914},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20307821035385132},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1957550048828125},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.18532463908195496},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1806175708770752}],"concepts":[{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.7221460342407227},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.6012591123580933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5325366854667664},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.4617960453033447},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.43260055780410767},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.42248743772506714},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3593931496143341},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32558298110961914},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20307821035385132},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1957550048828125},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.18532463908195496},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1806175708770752},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760772","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8899999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1576101174","https://openalex.org/W1787290749","https://openalex.org/W1834213684","https://openalex.org/W1964084022","https://openalex.org/W1985930142","https://openalex.org/W1999688255","https://openalex.org/W1999913837","https://openalex.org/W2039125391","https://openalex.org/W2040012589","https://openalex.org/W2042122291","https://openalex.org/W2086748818","https://openalex.org/W2109488193","https://openalex.org/W2111676924","https://openalex.org/W2114432065","https://openalex.org/W2120335318","https://openalex.org/W2128277258","https://openalex.org/W2148176343","https://openalex.org/W2155237069","https://openalex.org/W2164961065","https://openalex.org/W4235210239","https://openalex.org/W6638009852","https://openalex.org/W6638467187"],"related_works":["https://openalex.org/W2611552807","https://openalex.org/W4319663706","https://openalex.org/W3110276032","https://openalex.org/W4206748346","https://openalex.org/W2997221951","https://openalex.org/W2546696010","https://openalex.org/W1992741870","https://openalex.org/W3174582865","https://openalex.org/W4286521430","https://openalex.org/W1882733036"],"abstract_inverted_index":{"We":[0,140,163],"consider":[1,142],"a":[2,16,22,135],"collection":[3,28,91,132],"of":[4,25,59,106,158],"flexible":[5],"loads.":[6],"Each":[7],"load":[8],"is":[9,29,46,133],"modeled":[10,94],"as":[11,95],"requiring":[12],"energy":[13],"E":[14],"on":[15,124,153],"service":[17,73],"interval":[18],"[a;":[19],"d]":[20],"at":[21],"maximum":[23,102],"rate":[24,60,104,147,157],"m.":[26],"The":[27,98],"serviced":[30],"by":[31,53],"available":[32],"generation":[33,70],"g(t)":[34,71],"which":[35],"must":[36,120],"be":[37,93,111,121],"allocated":[38],"causally":[39],"to":[40,47,72,167],"the":[41,49,57,69,74,87,90,107,131,143,154,159],"various":[42],"tasks.":[43],"Our":[44,83],"objective":[45],"characterize":[48],"aggregate":[50],"flexibility":[51,88],"offered":[52],"this":[54],"collection.":[55],"In":[56],"absence":[58],"limits,":[61],"we":[62,150],"offer":[63,151,164],"necessary":[64],"and":[65,101,127,156],"sufficient":[66],"conditions":[67],"for":[68],"loads":[75],"under":[76],"causal":[77],"scheduling":[78],"without":[79],"surplus":[80],"or":[81],"deficit.":[82],"results":[84],"show":[85],"that":[86],"in":[89,113],"can":[92,110],"electricity":[96,138,161],"storage.":[97,139,162],"capacity":[99,155],"Q(t)":[100],"charge/discharge":[103],"m(t)":[105],"equivalent":[108,134,160],"storage":[109],"computed":[112],"real":[114],"time.":[115],"Ex":[116],"ante,":[117],"these":[118],"parameters":[119],"estimated":[122],"based":[123],"arrival/departure":[125],"statistics":[126],"charging":[128,146],"needs.":[129],"Thus,":[130],"stochastic":[136],"time-varying":[137],"next":[141],"case":[144],"with":[145],"limits.":[148],"Here,":[149],"bounds":[152],"synthetic":[165],"examples":[166],"illustrate":[168],"our":[169],"results.":[170]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}