{"id":"https://openalex.org/W7225325610","doi":"https://doi.org/10.5281/zenodo.23987542","title":"Certified AC Dispatch over Load Sets and in Continuous Time: Verified Feasibility and Optimality Gaps","display_name":"Certified AC Dispatch over Load Sets and in Continuous Time: Verified Feasibility and Optimality Gaps","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225325610","doi":"https://doi.org/10.5281/zenodo.23987542"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23987542","doi":"https://doi.org/10.5281/zenodo.23987542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987542","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23987542","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160239679","display_name":"Yuan Shen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405260628","display_name":"University of British Columbia, Okanagan Campus","ror":"https://ror.org/04241wz75","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490","https://openalex.org/I4405260628"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Shen, Yuan","raw_affiliation_strings":["University of British Columbia, Okanagan Campus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia, Okanagan Campus","institution_ids":["https://openalex.org/I4405260628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5160239679"],"corresponding_institution_ids":["https://openalex.org/I4405260628"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.888700008392334,"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/T10424","display_name":"Electric Power System Optimization","score":0.888700008392334,"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":0.08290000259876251,"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/T10305","display_name":"Power System Optimization and Stability","score":0.009200000204145908,"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/automatic-generation-control","display_name":"automatic generation control","score":0.8740000128746033},{"id":"https://openalex.org/keywords/optimal-power-flow","display_name":"optimal power flow","score":0.878000020980835},{"id":"https://openalex.org/keywords/taylor-model","display_name":"Taylor model","score":0.9739999771118164},{"id":"https://openalex.org/keywords/forecast-error","display_name":"forecast error","score":0.5170000195503235},{"id":"https://openalex.org/keywords/power-system-operation","display_name":"power system operation","score":0.3370000123977661}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5564000010490417},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.5504000186920166},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5205000042915344},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.45019999146461487},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.44190001487731934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4214000105857849},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4212999939918518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38940000534057617},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3824999928474426},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.36899998784065247},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.3089999854564667},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.3086000084877014},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.25589999556541443}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23987542","doi":"https://doi.org/10.5281/zenodo.23987542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987542","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23987543","doi":"https://doi.org/10.5281/zenodo.23987543","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987543","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23987542","doi":"https://doi.org/10.5281/zenodo.23987542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23987542","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.75,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"},{"score":0.5378999710083008,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7225336058","https://openalex.org/W4300063973","https://openalex.org/W7225331189","https://openalex.org/W7147182310","https://openalex.org/W7166347281","https://openalex.org/W2948999440","https://openalex.org/W7223206283","https://openalex.org/W1986455546","https://openalex.org/W7213453399","https://openalex.org/W2990548467"],"abstract_inverted_index":{"An":[0],"optimal":[1,95,127],"power":[2,96],"flow":[3],"dispatch":[4,39],"is":[5,79,98],"computed":[6],"for":[7,37,100,114,121],"one":[8,157],"forecast":[9,21,77,154],"load":[10,27],"but":[11],"operated":[12],"while":[13],"loads":[14,109],"change":[15],"and":[16,48,119],"automatic":[17],"generation":[18],"control":[19],"absorbs":[20],"errors.":[22],"We":[23],"certify":[24],"operation":[25],"over":[26,63],"sets:":[28],"a":[29,34,38,69,73,81,91,115,178],"parametric":[30],"Krawczyk":[31],"test":[32,108],"proves":[33],"power-flow":[35],"solution":[36],"or":[40],"affine":[41],"policy,":[42],"Taylor":[43],"models":[44],"prove":[45],"every":[46,163],"limit,":[47],"load-affine":[49],"Lagrangian":[50],"bounds":[51],"bound":[52,60],"its":[53],"relative":[54],"regret":[55],"by":[56],"\u03b5,":[57],"with":[58,156],"the":[59,64,107,125,141,150,153,190],"maximized":[61],"exactly":[62],"set.":[65,82],"Each":[66],"piece":[67],"of":[68,75,106,140,149,184],"ramped":[70],"schedule":[71],"under":[72,162],"box":[74],"regional":[76,132],"errors":[78],"such":[80,164],"On":[83,177],"eight":[84],"benchmark":[85],"systems":[86],"at":[87,104,172],"\u03b5":[88],"=":[89],"1%,":[90],"rule":[92],"interpolating":[93],"three":[94,170],"flows":[97],"certified":[99,146,188],"\u00b15%":[101],"load-level":[102],"swings":[103],"78%":[105],"on":[110,147,166,169,175],"average,":[111],"against":[112],"57%":[113],"secant":[116],"through":[117],"them":[118],"44%":[120,139],"participation":[122],"factors.":[123],"Under":[124],"hourly":[126],"dispatch,":[128],"some":[129],"sampled":[130],"one-percent":[131],"error":[133,165],"violates":[134],"an":[135],"operational":[136],"threshold":[137],"in":[138],"hours;":[142],"certificate-designed":[143],"schedules":[144],"are":[145,187],"98.0%":[148],"time":[151],"along":[152,189],"and,":[155],"balancing":[158],"unit,":[159],"proven":[160],"feasible":[161],"54.0%":[167],"(none":[168],"systems,":[171],"least":[173],"98.8%":[174],"four).":[176],"modified":[179],"2000-bus":[180],"Texas":[181],"grid,":[182],"98.6%":[183],"1272":[185],"hours":[186],"forecast.":[191]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}