{"id":"https://openalex.org/W2439635404","doi":"https://doi.org/10.1109/tsg.2015.2469736","title":"Optimal Demand Contracting Strategy Under Uncertainty and Its Implication for Advanced Pricing","display_name":"Optimal Demand Contracting Strategy Under Uncertainty and Its Implication for Advanced Pricing","publication_year":2015,"publication_date":"2015-09-18","ids":{"openalex":"https://openalex.org/W2439635404","doi":"https://doi.org/10.1109/tsg.2015.2469736","mag":"2439635404"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2015.2469736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2469736","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/A5068904522","display_name":"Donghan Feng","orcid":"https://orcid.org/0000-0002-9642-4777"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Donghan Feng","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026679992","display_name":"Tao Sun","orcid":"https://orcid.org/0000-0003-3838-708X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Sun","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101428760","display_name":"Chen Fang","orcid":"https://orcid.org/0000-0002-8559-0112"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen Fang","raw_affiliation_strings":["State Grid Shanghai Municipal Electric Power Company, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Electric Power Company, Shanghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110958087","display_name":"Yong Shi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yong Shi","raw_affiliation_strings":["State Grid Shanghai Municipal Electric Power Company, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Electric Power Company, Shanghai, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112763636","display_name":"Shaolun Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaolun Xu","raw_affiliation_strings":["Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education, School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5068904522"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.7891,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.7758358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":"4","first_page":"1876","last_page":"1885"},"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/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9940000176429749,"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/T11052","display_name":"Energy Load and Power Forecasting","score":0.9900000095367432,"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/convexity","display_name":"Convexity","score":0.7591464519500732},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6766394972801208},{"id":"https://openalex.org/keywords/demand-response","display_name":"Demand response","score":0.6428120136260986},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6113457083702087},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5359500050544739},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4855775237083435},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4598883092403412},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.4575492739677429},{"id":"https://openalex.org/keywords/load-management","display_name":"Load management","score":0.4548625648021698},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4414815902709961},{"id":"https://openalex.org/keywords/consumption","display_name":"Consumption (sociology)","score":0.42587828636169434},{"id":"https://openalex.org/keywords/demand-curve","display_name":"Demand curve","score":0.42464613914489746},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41681450605392456},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.25937581062316895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24084347486495972},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14826613664627075},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.1422824263572693}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7591464519500732},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6766394972801208},{"id":"https://openalex.org/C2779438525","wikidata":"https://www.wikidata.org/wiki/Q5255048","display_name":"Demand response","level":3,"score":0.6428120136260986},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6113457083702087},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5359500050544739},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4855775237083435},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4598883092403412},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.4575492739677429},{"id":"https://openalex.org/C2779370713","wikidata":"https://www.wikidata.org/wiki/Q357554","display_name":"Load management","level":2,"score":0.4548625648021698},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4414815902709961},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.42587828636169434},{"id":"https://openalex.org/C176398731","wikidata":"https://www.wikidata.org/wiki/Q8981416","display_name":"Demand curve","level":2,"score":0.42464613914489746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41681450605392456},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.25937581062316895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24084347486495972},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14826613664627075},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.1422824263572693},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2015.2469736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2469736","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":[{"id":"https://metadata.un.org/sdg/7","score":0.5400000214576721,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1689076042","display_name":null,"funder_award_id":"51477097","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4671247227","display_name":null,"funder_award_id":"520940120036","funder_id":"https://openalex.org/F4320326707","funder_display_name":"State Grid Corporation of China"},{"id":"https://openalex.org/G7254371968","display_name":null,"funder_award_id":"201506235065","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320326707","display_name":"State Grid Corporation of China","ror":"https://ror.org/05twwhs70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1965319010","https://openalex.org/W1981643243","https://openalex.org/W1993355592","https://openalex.org/W1995384329","https://openalex.org/W1996151857","https://openalex.org/W1999349588","https://openalex.org/W2003500362","https://openalex.org/W2003506974","https://openalex.org/W2006088895","https://openalex.org/W2022533927","https://openalex.org/W2039989545","https://openalex.org/W2044186388","https://openalex.org/W2076498178","https://openalex.org/W2097143633","https://openalex.org/W2097787440","https://openalex.org/W2099271915","https://openalex.org/W2103238571","https://openalex.org/W2107226462","https://openalex.org/W2143259364","https://openalex.org/W2144268297","https://openalex.org/W2145455389","https://openalex.org/W2148406707","https://openalex.org/W2149699660","https://openalex.org/W2155405335","https://openalex.org/W2156368412","https://openalex.org/W2172241030","https://openalex.org/W4239712672","https://openalex.org/W4244193996"],"related_works":["https://openalex.org/W2035833777","https://openalex.org/W2392147676","https://openalex.org/W2522559011","https://openalex.org/W1589973774","https://openalex.org/W2032085210","https://openalex.org/W2556396996","https://openalex.org/W3112567715","https://openalex.org/W1972422473","https://openalex.org/W2138418363","https://openalex.org/W1995798440"],"abstract_inverted_index":{"Based":[0],"on":[1,50],"the":[2,16,35,40,51,56,63,72,75,79,82],"current":[3],"practice":[4],"of":[5,20,39,55,74,81,95],"charging":[6,89],"peak":[7,57],"demand,":[8],"an":[9,46],"expectation-oriented":[10],"stochastic":[11],"model":[12,77],"is":[13,27,59],"established":[14],"for":[15,67],"demand":[17,88],"contracting":[18,65],"decision":[19],"electricity":[21],"users.":[22],"The":[23],"resultant":[24],"optimization":[25],"problem":[26],"proved":[28],"to":[29,45,61],"be":[30],"nonlinear":[31],"but":[32],"convex.":[33],"Thus,":[34],"first-order":[36],"optimality":[37],"condition":[38],"proposed":[41,76,83],"model,":[42],"which":[43],"leads":[44],"integral":[47],"equation":[48],"founded":[49],"probability":[52],"density":[53],"function":[54],"load,":[58],"used":[60],"derive":[62],"optimal":[64],"strategy":[66],"consumers.":[68],"Simulation":[69],"results":[70],"support":[71],"convexity":[73],"and":[78,91],"effectiveness":[80],"solution":[84],"method":[85],"under":[86],"different":[87,92],"rules":[90],"consumption":[93],"patterns":[94],"customers.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}