{"id":"https://openalex.org/W4226502103","doi":"https://doi.org/10.1109/access.2022.3169480","title":"A Linear Stochastic Formulation for Distribution Energy Management Systems Considering Lifetime Extension of Battery Storage Devices","display_name":"A Linear Stochastic Formulation for Distribution Energy Management Systems Considering Lifetime Extension of Battery Storage Devices","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226502103","doi":"https://doi.org/10.1109/access.2022.3169480"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3169480","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3169480","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09763077.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09763077.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026655775","display_name":"Ali Soleimani","orcid":"https://orcid.org/0000-0002-6887-2142"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Ali Soleimani","raw_affiliation_strings":["Faculty of Electrical Engineering, Shahid Beheshti University, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-6887-2142","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061146009","display_name":"Vahid Vahidinasab","orcid":"https://orcid.org/0000-0002-0779-8727"},"institutions":[{"id":"https://openalex.org/I52590639","display_name":"Nottingham Trent University","ror":"https://ror.org/04xyxjd90","country_code":"GB","type":"education","lineage":["https://openalex.org/I52590639"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vahid Vahidinasab","raw_affiliation_strings":["Department of Engineering, School of Science and Technology, Nottingham Trent University, Nottingham, U.K"],"raw_orcid":"https://orcid.org/0000-0002-0779-8727","affiliations":[{"raw_affiliation_string":"Department of Engineering, School of Science and Technology, Nottingham Trent University, Nottingham, U.K","institution_ids":["https://openalex.org/I52590639"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044090625","display_name":"Jamshid Aghaei","orcid":"https://orcid.org/0000-0002-5254-9148"},"institutions":[{"id":"https://openalex.org/I63548447","display_name":"Lappeenranta-Lahti University of Technology","ror":"https://ror.org/0208vgz68","country_code":"FI","type":"education","lineage":["https://openalex.org/I63548447"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jamshid Aghaei","raw_affiliation_strings":["LUT School of Energy Systems, Lappeenranta&#x2013;Lahti University of Technology (LUT), Lappeenranta, Finland"],"raw_orcid":"https://orcid.org/0000-0002-5254-9148","affiliations":[{"raw_affiliation_string":"LUT School of Energy Systems, Lappeenranta&#x2013;Lahti University of Technology (LUT), Lappeenranta, Finland","institution_ids":["https://openalex.org/I63548447"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026655775"],"corresponding_institution_ids":["https://openalex.org/I48379061"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0975,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.75172442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"10","issue":null,"first_page":"44564","last_page":"44576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":1.0,"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"}},{"id":"https://openalex.org/T10768","display_name":"Electric Vehicles and Infrastructure","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/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/computer-science","display_name":"Computer science","score":0.6453953981399536},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5959792137145996},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.531721830368042},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5075058341026306},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.48939386010169983},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.48872900009155273},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.482189804315567},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4696105420589447},{"id":"https://openalex.org/keywords/battery","display_name":"Battery (electricity)","score":0.4679120182991028},{"id":"https://openalex.org/keywords/demand-response","display_name":"Demand response","score":0.44975394010543823},{"id":"https://openalex.org/keywords/energy-storage","display_name":"Energy storage","score":0.4302583932876587},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.42880722880363464},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3207598030567169},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.18010538816452026},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16277021169662476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13321101665496826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1284807324409485},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.12615230679512024}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6453953981399536},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5959792137145996},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.531721830368042},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5075058341026306},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.48939386010169983},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.48872900009155273},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.482189804315567},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4696105420589447},{"id":"https://openalex.org/C555008776","wikidata":"https://www.wikidata.org/wiki/Q267298","display_name":"Battery (electricity)","level":3,"score":0.4679120182991028},{"id":"https://openalex.org/C2779438525","wikidata":"https://www.wikidata.org/wiki/Q5255048","display_name":"Demand response","level":3,"score":0.44975394010543823},{"id":"https://openalex.org/C73916439","wikidata":"https://www.wikidata.org/wiki/Q837718","display_name":"Energy storage","level":3,"score":0.4302583932876587},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.42880722880363464},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3207598030567169},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.18010538816452026},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16277021169662476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13321101665496826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1284807324409485},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.12615230679512024},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2022.3169480","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3169480","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09763077.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:irep.ntu.ac.uk:46247","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400559","display_name":"Nottingham Trent University's Institutional Repository (Nottingham Trent Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I52590639","host_organization_name":"Nottingham Trent University","host_organization_lineage":["https://openalex.org/I52590639"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:e881a31ab9504d0aa5c62326a66c7a1f","is_oa":true,"landing_page_url":"https://doaj.org/article/e881a31ab9504d0aa5c62326a66c7a1f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 44564-44576 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3169480","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3169480","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09763077.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226502103.pdf","grobid_xml":"https://content.openalex.org/works/W4226502103.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W169354537","https://openalex.org/W1214427348","https://openalex.org/W1988081136","https://openalex.org/W2011430131","https://openalex.org/W2012475895","https://openalex.org/W2018377741","https://openalex.org/W2031072760","https://openalex.org/W2035144378","https://openalex.org/W2040170302","https://openalex.org/W2065788296","https://openalex.org/W2107395148","https://openalex.org/W2114083729","https://openalex.org/W2132378526","https://openalex.org/W2135020035","https://openalex.org/W2147511359","https://openalex.org/W2150418205","https://openalex.org/W2153332004","https://openalex.org/W2161160262","https://openalex.org/W2164443719","https://openalex.org/W2168492352","https://openalex.org/W2292170128","https://openalex.org/W2298891320","https://openalex.org/W2397410086","https://openalex.org/W2417460170","https://openalex.org/W2485135858","https://openalex.org/W2531377131","https://openalex.org/W2549044186","https://openalex.org/W2633319204","https://openalex.org/W2644347995","https://openalex.org/W2751371140","https://openalex.org/W2759610170","https://openalex.org/W2764730535","https://openalex.org/W2783163022","https://openalex.org/W2793796704","https://openalex.org/W2794048048","https://openalex.org/W2897723454","https://openalex.org/W2904396581","https://openalex.org/W2904850496","https://openalex.org/W2946656492","https://openalex.org/W2948384616","https://openalex.org/W2970245183","https://openalex.org/W2975465641","https://openalex.org/W2984503532","https://openalex.org/W3009367346","https://openalex.org/W3013512999","https://openalex.org/W3015612366","https://openalex.org/W3035942321","https://openalex.org/W3043661245","https://openalex.org/W3134416216","https://openalex.org/W3203924421","https://openalex.org/W6606946561","https://openalex.org/W6643374245"],"related_works":["https://openalex.org/W2983685817","https://openalex.org/W1523365952","https://openalex.org/W4285278887","https://openalex.org/W2995925505","https://openalex.org/W134783735","https://openalex.org/W2365237642","https://openalex.org/W3116484972","https://openalex.org/W2382905498","https://openalex.org/W1995183710","https://openalex.org/W2941986668"],"abstract_inverted_index":{"Recently,":[0],"the":[1,10,32,39,81,109,119,143,161,199],"number":[2],"of":[3,84,121,166,169],"Battery":[4],"Energy":[5,34,61],"Systems":[6],"(BESs)":[7],"connected":[8,37,90],"to":[9,38,91,133,197],"grid":[11,139],"has":[12,118],"grown":[13],"significantly.":[14],"These":[15],"assets":[16],"can":[17],"alleviate":[18],"some":[19],"operational":[20],"issues":[21],"such":[22],"as":[23],"demand":[24,148],"surges":[25],"and":[26,44,52,70,137,149,202],"occasional":[27],"power":[28],"fluctuations":[29],"associated":[30,146],"with":[31,66,147,188],"Renewable":[33],"Sources":[35],"(RESs)":[36],"grid.":[40],"Nonetheless,":[41],"both":[42],"overcharging":[43],"frequent":[45],"usage":[46],"severely":[47],"affect":[48],"their":[49,54,135],"health":[50],"status":[51],"shorten":[53],"life":[55,75],"expectancy.":[56],"In":[57,164],"this":[58],"paper,":[59],"an":[60,85],"Management":[62],"System":[63],"(EMS)":[64],"framework":[65],"a":[67,95,99,152,173,181,189],"linearised":[68,174],"algorithm":[69,201],"in-depth":[71],"analysis":[72],"on":[73],"BES":[74],"extension":[76],"is":[77,105,128,158,178],"presented,":[78],"which":[79,117],"optimises":[80],"techno-economic":[82],"aspects":[83],"Active":[86],"Distribution":[87],"Network":[88],"(ADN)":[89],"RESs.":[92],"By":[93],"applying":[94],"mathematical":[96],"linearisation":[97],"formulation,":[98],"Mixed-Integer":[100],"Linear":[101],"Programming":[102,155],"(MILP)":[103],"model":[104],"proposed":[106,162,200],"for":[107,130],"linearising":[108],"Optimal":[110],"Power":[111],"Flow":[112],"(OPF)":[113],"problem.":[114],"This":[115],"technique,":[116],"merit":[120],"fair":[122],"accuracy":[123],"while":[124],"having":[125],"high":[126],"speed,":[127],"used":[129],"scheduling":[131],"BESs":[132],"increase":[134],"durability":[136],"decrease":[138],"costs.":[140],"To":[141],"consider":[142],"inherent":[144],"uncertainty":[145],"RES":[150],"generation,":[151],"two-stage":[153],"Stochastic":[154],"(SP)":[156],"method":[157,177],"implemented":[159],"in":[160],"model.":[163],"terms":[165],"battery":[167,175],"Loss":[168],"Health":[170],"(LoH)":[171],"assessment,":[172],"lifetime":[176],"introduced.":[179],"Ultimately,":[180],"modified":[182],"33-bus":[183],"radial":[184],"distribution":[185],"test":[186],"system":[187],"day-ahead":[190],"Real-Time":[191],"Pricing":[192],"(RTP)":[193],"program":[194],"was":[195],"chosen":[196],"apply":[198],"assess":[203],"its":[204],"efficiency.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
