{"id":"https://openalex.org/W4400073045","doi":"https://doi.org/10.1109/tsg.2024.3420156","title":"Alleviating the Curse of Dimensionality in Minkowski Sum Approximations of Storage Flexibility","display_name":"Alleviating the Curse of Dimensionality in Minkowski Sum Approximations of Storage Flexibility","publication_year":2024,"publication_date":"2024-06-27","ids":{"openalex":"https://openalex.org/W4400073045","doi":"https://doi.org/10.1109/tsg.2024.3420156"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2024.3420156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2024.3420156","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/A5034346945","display_name":"Emrah \u00d6zt\u00fcrk","orcid":"https://orcid.org/0000-0001-5063-531X"},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Emrah \u00d6zt\u00fcrk","raw_affiliation_strings":["Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5063-531X","affiliations":[{"raw_affiliation_string":"Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054359566","display_name":"Timm Faulwasser","orcid":"https://orcid.org/0000-0002-6892-7406"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Timm Faulwasser","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Dortmund, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6892-7406","affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013958333","display_name":"Karl Worthmann","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Karl Worthmann","raw_affiliation_strings":["Institute of Mathematics, Technische Universit&#x00E4;t Ilmenau, Ilmenau, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1450-2373","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technische Universit&#x00E4;t Ilmenau, Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052582814","display_name":"Markus Prei\u00dfinger","orcid":null},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Markus Prei\u00dfInger","raw_affiliation_strings":["Josef Ressel Centre for Intelligent Thermal Energy Systems, illwerke vkw Endowed Professorship for Energy Efficiency, Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"raw_orcid":"https://orcid.org/0000-0001-5701-9595","affiliations":[{"raw_affiliation_string":"Josef Ressel Centre for Intelligent Thermal Energy Systems, illwerke vkw Endowed Professorship for Energy Efficiency, Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077840062","display_name":"Klaus Rheinberger","orcid":"https://orcid.org/0000-0002-8277-4944"},"institutions":[{"id":"https://openalex.org/I675453","display_name":"Vorarlberg University of Applied Sciences","ror":"https://ror.org/031wyx077","country_code":"AT","type":"education","lineage":["https://openalex.org/I675453"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Klaus Rheinberger","raw_affiliation_strings":["Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria"],"raw_orcid":"https://orcid.org/0000-0002-8277-4944","affiliations":[{"raw_affiliation_string":"Research Center Energy, Vorarlberg University of Applied Sciences, Dornbirn, Austria","institution_ids":["https://openalex.org/I675453"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034346945"],"corresponding_institution_ids":["https://openalex.org/I675453"],"apc_list":null,"apc_paid":null,"fwci":3.364,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92737396,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"6","first_page":"5733","last_page":"5743"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9556000232696533,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.8295881748199463},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.6711159944534302},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.48988765478134155},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45462939143180847},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43492671847343445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4322606921195984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38963156938552856},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1458941400051117}],"concepts":[{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.8295881748199463},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.6711159944534302},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.48988765478134155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45462939143180847},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43492671847343445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4322606921195984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38963156938552856},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1458941400051117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsg.2024.3420156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2024.3420156","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"},{"id":"pmh:oai:tore.tuhh.de:11420/48365","is_oa":false,"landing_page_url":"https://hdl.handle.net/11420/48365","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311813","display_name":"\u00d6sterreichische Nationalstiftung f\u00fcr Forschung, Technologie und Entwicklung","ror":"https://ror.org/04hb33h70"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W2000147742","https://openalex.org/W2000502807","https://openalex.org/W2026947596","https://openalex.org/W2072230340","https://openalex.org/W2120335318","https://openalex.org/W2167816765","https://openalex.org/W2291680303","https://openalex.org/W2327685928","https://openalex.org/W2337204591","https://openalex.org/W2512109574","https://openalex.org/W2549950425","https://openalex.org/W2613262164","https://openalex.org/W2866869936","https://openalex.org/W2906734277","https://openalex.org/W2928105870","https://openalex.org/W2963497871","https://openalex.org/W2963568810","https://openalex.org/W2964057583","https://openalex.org/W2964089885","https://openalex.org/W3097493683","https://openalex.org/W3122564693","https://openalex.org/W3139553453","https://openalex.org/W3204688720","https://openalex.org/W4220776499","https://openalex.org/W4285181031","https://openalex.org/W4285282997","https://openalex.org/W4300568640","https://openalex.org/W4323838928","https://openalex.org/W4376456417","https://openalex.org/W4376481118","https://openalex.org/W4382936051","https://openalex.org/W4385732459","https://openalex.org/W4391021836","https://openalex.org/W6685775293","https://openalex.org/W6853954516"],"related_works":["https://openalex.org/W4396653596","https://openalex.org/W3114162292","https://openalex.org/W2950984700","https://openalex.org/W4296209631","https://openalex.org/W2391469971","https://openalex.org/W184954952","https://openalex.org/W2487901694","https://openalex.org/W2594209294","https://openalex.org/W3023280577","https://openalex.org/W3036376646"],"abstract_inverted_index":{"Many":[0],"real-world":[1],"applications":[2],"require":[3],"the":[4,45,70,77,92,104,129,142],"joint":[5],"optimization":[6],"of":[7,11,47,73,79,106,120,132,141,162],"a":[8,58,136],"large":[9],"number":[10],"flexible":[12],"devices":[13],"over":[14,50,199],"time.":[15],"The":[16,64,182],"flexibility":[17,46,66],"of,":[18],"e.g.,":[19],"multiple":[20],"batteries,":[21],"thermostatically":[22],"controlled":[23],"loads,":[24],"or":[25],"electric":[26],"vehicles":[27],"can":[28,54,123],"be":[29,55,124],"used":[30],"to":[31,36,112,178,189,192],"support":[32],"grid":[33],"operation":[34,38],"and":[35,101,127,165,191,209],"reduce":[37],"costs.":[39],"Using":[40],"piecewise":[41],"constant":[42],"power":[43,62,212],"values,":[44],"each":[48,121],"device":[49],"d":[51],"time":[52],"periods":[53,198],"described":[56],"as":[57],"polytopic":[59],"subset":[60],"in":[61,83,91,160,196],"space.":[63],"aggregated":[65,207],"is":[67,82,98],"given":[68],"by":[69,103],"Minkowski":[71,80,143],"sum":[72],"these":[74],"polytopes.":[75],"As":[76],"computation":[78],"sums":[81,134],"general":[84],"demanding,":[85],"several":[86],"approximations":[87,159],"have":[88],"been":[89],"proposed":[90,183],"literature.":[93],"Yet,":[94],"their":[95,133],"application":[96],"potential":[97],"often":[99],"objective-dependent":[100],"limited":[102],"curse":[105],"dimensionality.":[107],"We":[108],"show":[109],"that":[110,128,152],"up":[111],"<inline-formula":[113],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[114],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[115],"<tex-math":[116],"notation=\"LaTeX\">$2^{d}$":[117],"</tex-math></inline-formula>":[118],"vertices":[119],"polytope":[122],"computed":[125],"efficiently":[126],"convex":[130],"hull":[131],"provides":[135],"computationally":[137],"efficient":[138,174,187],"inner":[139,158],"approximation":[140],"sum.":[144],"Via":[145],"an":[146,173,186,200],"extensive":[147],"simulation":[148],"study,":[149],"we":[150,171],"illustrate":[151],"our":[153],"approach":[154],"outperforms":[155],"ten":[156],"state-of-the-art":[157],"terms":[161],"computational":[163],"complexity":[164],"accuracy":[166,205],"for":[167,206,210],"different":[168],"objectives.":[169],"Moreover,":[170],"propose":[172],"disaggregation":[175],"method":[176],"applicable":[177],"any":[179],"vertex-based":[180],"approximation.":[181],"methods":[184],"provide":[185],"means":[188],"aggregate":[190],"disaggregate":[193],"energy":[194],"storages":[195],"quarter-hourly":[197],"entire":[201],"day":[202],"with":[203],"reasonable":[204],"cost":[208],"peak":[211],"optimization.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}