{"id":"https://openalex.org/W1966149287","doi":"https://doi.org/10.1109/smartgridcomm.2014.7007717","title":"Optimal price rebates for demand response under power flow constraints","display_name":"Optimal price rebates for demand response under power flow constraints","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W1966149287","doi":"https://doi.org/10.1109/smartgridcomm.2014.7007717","mag":"1966149287"},"language":"en","primary_location":{"id":"doi:10.1109/smartgridcomm.2014.7007717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smartgridcomm.2014.7007717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Smart Grid Communications (SmartGridComm)","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/A5051109529","display_name":"Vineet Goyal","orcid":"https://orcid.org/0000-0001-6719-3212"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vineet Goyal","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029998274","display_name":"Garud Iyengar","orcid":"https://orcid.org/0000-0001-6546-4154"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Garud Iyengar","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090847520","display_name":"Quique Schwarz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121580","display_name":"Autogrid Systems (United States)","ror":"https://ror.org/02y114t67","country_code":"US","type":"company","lineage":["https://openalex.org/I4210121580"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quique Schwarz","raw_affiliation_strings":["AutoGrid Systems Inc, Redwood City, CA, USA","AutoGrid Systems Inc, Redwood City, CA 94065, USA"],"affiliations":[{"raw_affiliation_string":"AutoGrid Systems Inc, Redwood City, CA, USA","institution_ids":["https://openalex.org/I4210121580"]},{"raw_affiliation_string":"AutoGrid Systems Inc, Redwood City, CA 94065, USA","institution_ids":["https://openalex.org/I4210121580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084592707","display_name":"Shuangyu Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuangyu Wang","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, USA#TAB#","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051109529"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0388875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"626","last_page":"631"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","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"}},"topics":[{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9990000128746033,"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":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6768335103988647},{"id":"https://openalex.org/keywords/demand-response","display_name":"Demand response","score":0.6720198392868042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6672171354293823},{"id":"https://openalex.org/keywords/dynamic-demand","display_name":"Dynamic demand","score":0.5802872180938721},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.491565078496933},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.45116591453552246},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4329339265823364},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.4205949306488037},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.388690322637558},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3275071978569031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1127505898475647},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10052016377449036},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.08735942840576172}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6768335103988647},{"id":"https://openalex.org/C2779438525","wikidata":"https://www.wikidata.org/wiki/Q5255048","display_name":"Demand response","level":3,"score":0.6720198392868042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6672171354293823},{"id":"https://openalex.org/C45872418","wikidata":"https://www.wikidata.org/wiki/Q5318966","display_name":"Dynamic demand","level":3,"score":0.5802872180938721},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.491565078496933},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.45116591453552246},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4329339265823364},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.4205949306488037},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.388690322637558},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3275071978569031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1127505898475647},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10052016377449036},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.08735942840576172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/smartgridcomm.2014.7007717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smartgridcomm.2014.7007717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Smart Grid Communications (SmartGridComm)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2020881820","https://openalex.org/W2042864172","https://openalex.org/W2049557935","https://openalex.org/W2060456070","https://openalex.org/W2101783354","https://openalex.org/W2106135602","https://openalex.org/W2140051408","https://openalex.org/W2141380252","https://openalex.org/W2145500435","https://openalex.org/W2160807713","https://openalex.org/W2170956081"],"related_works":["https://openalex.org/W1589973774","https://openalex.org/W2171108821","https://openalex.org/W2074513827","https://openalex.org/W1498762745","https://openalex.org/W2402141875","https://openalex.org/W2023642087","https://openalex.org/W2353074559","https://openalex.org/W68763171","https://openalex.org/W4387415905","https://openalex.org/W3126575123"],"abstract_inverted_index":{"Demand":[0],"side":[1],"participation":[2],"is":[3,100,209],"essential":[4],"for":[5,39],"a":[6,35],"realtime":[7],"energy":[8,24],"balance":[9],"in":[10,15,79,117,133,256],"today's":[11],"electricity":[12],"grid,":[13],"especially":[14],"the":[16,53,57,62,73,77,80,90,94,101,122,131,137,147,158,163,173,200,213,217,222,234,239,242,247,254,257],"presence":[17,81],"of":[18,23,64,82,96,124,136,146,175,202,241],"highly":[19],"uncertain":[20],"renewable":[21],"sources":[22],"such":[25],"as":[26,251,253],"wind":[27],"and":[28,86,129,151,244],"solar.":[29],"In":[30],"this":[31,99,118],"paper,":[32],"we":[33,231],"consider":[34],"price":[36,50,134],"rebate":[37],"approach":[38],"demand":[40,106],"response":[41,107],"where":[42],"an":[43,109,141,153],"electric":[44],"utility":[45],"company":[46],"can":[47,232],"offer":[48,71,159,235],"real-time":[49],"rebates":[51],"to":[52,55,70,72,75,156,161,171],"consumers":[54],"reduce":[56,76],"load":[58,249],"consumption.":[59],"We":[60,139,167],"study":[61,197],"problem":[63,119],"computing":[65],"near-optimal":[66],"prices":[67,160,236],"(or":[68],"rebates)":[69],"customers":[74],"consumption":[78],"power":[83,111,126,148,185,190,205,219,224],"flow":[84,112,127,149,186,191,206,220,225],"constraints":[85,128,150,226],"transmission":[87,228,258],"losses":[88],"on":[89,238],"distribution":[91],"grid.":[92],"To":[93],"best":[95],"our":[97,176,203],"knowledge,":[98],"first":[102],"work":[103],"that":[104,199],"optimizes":[105],"under":[108],"AC":[110,125,204,223],"model.":[113],"The":[114],"main":[115],"challenge":[116],"arises":[120],"from":[121],"non-convexity":[123],"also":[130],"uncertainty":[132],"elasticity":[135],"demand.":[138],"formulate":[140],"SDP":[142],"based":[143,207,237],"convex":[144],"relaxation":[145],"give":[152],"iterative":[154],"procedure":[155],"compute":[157],"minimize":[162],"total":[164],"expected":[165],"cost.":[166],"conduct":[168],"numerical":[169],"experiments":[170],"compare":[172],"performance":[174,201],"heuristic":[177,208],"with":[178],"other":[179,214],"optimization":[180],"approaches":[181],"including":[182],"using":[183],"DC":[184,218],"model":[187,192,227],"or":[188],"no":[189],"at":[193],"all.":[194],"Our":[195],"computational":[196],"shows":[198],"significantly":[210],"better":[211],"than":[212],"approaches.":[215],"Unlike":[216],"constraints,":[221],"losses.":[229,259],"Therefore,":[230],"optimize":[233],"topology":[240],"grid":[243],"leverage":[245],"both":[246],"actual":[248],"reduction":[250,255],"well":[252]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
