{"id":"https://openalex.org/W2978077833","doi":"https://doi.org/10.3390/a12100208","title":"A Convex Optimization Algorithm for Electricity Pricing of Charging Stations","display_name":"A Convex Optimization Algorithm for Electricity Pricing of Charging Stations","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W2978077833","doi":"https://doi.org/10.3390/a12100208","mag":"2978077833"},"language":"en","primary_location":{"id":"doi:10.3390/a12100208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12100208","pdf_url":"https://www.mdpi.com/1999-4893/12/10/208/pdf?version=1569927669","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/12/10/208/pdf?version=1569927669","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100700722","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0002-9342-8473"},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China"],"affiliations":[{"raw_affiliation_string":"Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China","institution_ids":["https://openalex.org/I4392738113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042195560","display_name":"Xiangpeng Zhan","orcid":"https://orcid.org/0000-0002-6775-1349"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiangpeng Zhan","raw_affiliation_strings":["School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021547061","display_name":"Taoyong Li","orcid":"https://orcid.org/0000-0001-9045-5276"},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Taoyong Li","raw_affiliation_strings":["Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China"],"affiliations":[{"raw_affiliation_string":"Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China","institution_ids":["https://openalex.org/I4392738113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070448270","display_name":"Linru Jiang","orcid":"https://orcid.org/0000-0002-4136-827X"},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linru Jiang","raw_affiliation_strings":["Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China"],"affiliations":[{"raw_affiliation_string":"Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China","institution_ids":["https://openalex.org/I4392738113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057243497","display_name":"Jun Yang","orcid":"https://orcid.org/0000-0002-4754-3497"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Yang","raw_affiliation_strings":["School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101534772","display_name":"Yuanxing Zhang","orcid":"https://orcid.org/0000-0001-5308-1615"},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanxing Zhang","raw_affiliation_strings":["Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China"],"affiliations":[{"raw_affiliation_string":"Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China","institution_ids":["https://openalex.org/I4392738113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039629564","display_name":"Xiaohong Diao","orcid":null},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohong Diao","raw_affiliation_strings":["Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China"],"affiliations":[{"raw_affiliation_string":"Beijing Engineering Technology Research Center of Electric Vehicle Charging/Battery Swap, China Electric Power Research Institute Co., Ltd., Beijing 100192, China","institution_ids":["https://openalex.org/I4392738113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110666645","display_name":"Sining Han","orcid":null},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sining Han","raw_affiliation_strings":["School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5042195560"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1192,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.46875447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"12","issue":"10","first_page":"208","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10768","display_name":"Electric Vehicles and Infrastructure","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"}},"topics":[{"id":"https://openalex.org/T10768","display_name":"Electric Vehicles and Infrastructure","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/T10603","display_name":"Smart Grid Energy Management","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7474349141120911},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5295879244804382},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4627189040184021},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4585989713668823},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.4524785280227661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43567314743995667},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.4170175790786743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3757496476173401},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.28299546241760254}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7474349141120911},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5295879244804382},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4627189040184021},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4585989713668823},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.4524785280227661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43567314743995667},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.4170175790786743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3757496476173401},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.28299546241760254},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a12100208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12100208","pdf_url":"https://www.mdpi.com/1999-4893/12/10/208/pdf?version=1569927669","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:72fcb8f30eb343d4ad8b3f8aead16049","is_oa":true,"landing_page_url":"https://doaj.org/article/72fcb8f30eb343d4ad8b3f8aead16049","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 12, Iss 10, p 208 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a12100208","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a12100208","pdf_url":"https://www.mdpi.com/1999-4893/12/10/208/pdf?version=1569927669","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310509","display_name":"Electric Power Research Institute","ror":"https://ror.org/02dqztz06"},{"id":"https://openalex.org/F4320329056","display_name":"China Electric Power Research Institute","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2978077833.pdf","grobid_xml":"https://content.openalex.org/works/W2978077833.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W2034194462","https://openalex.org/W2038696819","https://openalex.org/W2043846842","https://openalex.org/W2080856707","https://openalex.org/W2091780949","https://openalex.org/W2132471558","https://openalex.org/W2144931885","https://openalex.org/W2160138905","https://openalex.org/W2255390949","https://openalex.org/W2393833397","https://openalex.org/W2514584476","https://openalex.org/W2516406342","https://openalex.org/W2524839151","https://openalex.org/W2526184833","https://openalex.org/W2536620281","https://openalex.org/W2553000292","https://openalex.org/W2734921351","https://openalex.org/W2737272602","https://openalex.org/W2785713122","https://openalex.org/W2905762838","https://openalex.org/W4241079583","https://openalex.org/W4244288018","https://openalex.org/W6711727596","https://openalex.org/W6728334215","https://openalex.org/W6728664312"],"related_works":["https://openalex.org/W4300566153","https://openalex.org/W2795378890","https://openalex.org/W2804689728","https://openalex.org/W2946724620","https://openalex.org/W2012685253","https://openalex.org/W2037437483","https://openalex.org/W3100053256","https://openalex.org/W2373292822","https://openalex.org/W1983813429","https://openalex.org/W1999926325"],"abstract_inverted_index":{"The":[0],"problem":[1,48],"of":[2],"electricity":[3],"pricing":[4],"for":[5],"charging":[6],"stations":[7],"is":[8,31,42,62,84],"a":[9,27,45,58,66],"multi-objective":[10],"mixed":[11,67],"integer":[12,68],"nonlinear":[13],"programming.":[14],"Existing":[15],"algorithms":[16],"have":[17],"low":[18],"efficiency":[19],"in":[20],"solving":[21],"this":[22,25],"problem.":[23],"In":[24],"paper,":[26],"convex":[28,46],"optimization":[29,47],"algorithm":[30,113],"proposed":[32,112],"to":[33,64,88,94],"get":[34],"the":[35,40,82,90,95,111,124],"optimal":[36,119],"solution":[37,120],"quickly.":[38],"Firstly,":[39],"model":[41,83],"transformed":[43],"into":[44],"by":[49,76],"second-order":[50],"conic":[51],"relaxation":[52],"and":[53,78],"Karush\u2013Kuhn\u2013Tucker":[54],"optimality":[55],"conditions.":[56],"Secondly,":[57],"polyhedral":[59],"approximation":[60],"method":[61],"applied":[63],"construct":[65],"linear":[69],"programming,":[70],"which":[71],"can":[72,114],"be":[73],"solved":[74,85],"quickly":[75,121],"branch":[77],"bound":[79],"method.":[80,126],"Finally,":[81],"many":[86],"times":[87],"obtain":[89,115],"Pareto":[91],"front":[92],"according":[93],"scalarization":[96],"basic":[97],"theorem.":[98],"Based":[99],"on":[100],"an":[101,116],"IEEE":[102],"33-bus":[103],"distribution":[104],"network":[105],"model,":[106],"simulation":[107],"results":[108],"show":[109],"that":[110],"exact":[117],"global":[118],"compared":[122],"with":[123],"heuristic":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
