{"id":"https://openalex.org/W7220724934","doi":"https://doi.org/10.48550/arxiv.2610.04055","title":"Stochastic Sequential Feedback Optimization for Wind Farm Control under Time-Varying Inflow","display_name":"Stochastic Sequential Feedback Optimization for Wind Farm Control under Time-Varying Inflow","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220724934","doi":"https://doi.org/10.48550/arxiv.2610.04055"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04055","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04055","pdf_url":"https://arxiv.org/pdf/2610.04055","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.04055","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138225213","display_name":"Shijie Huang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Shijie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006692330","display_name":"Sergio Grammatico","orcid":"https://orcid.org/0000-0002-6021-2350","observed_orcids":["https://orcid.org/0000-0002-6021-2350"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Grammatico, Sergio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10740","display_name":"Wind Turbine Control Systems","score":0.2847000062465668,"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/T10740","display_name":"Wind Turbine Control Systems","score":0.2847000062465668,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.2304999977350235,"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"}},{"id":"https://openalex.org/T10680","display_name":"Wind Energy Research and Development","score":0.1542000025510788,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wind-farm-control","display_name":"wind farm control","score":0.9520000219345093},{"id":"https://openalex.org/keywords/expected-value-optimization","display_name":"expected value optimization","score":0.753000020980835},{"id":"https://openalex.org/keywords/linearization","display_name":"linearization","score":0.6919999718666077},{"id":"https://openalex.org/keywords/dynamic-regret","display_name":"dynamic regret","score":0.8370000123977661},{"id":"https://openalex.org/keywords/almost-sure-convergence","display_name":"almost sure convergence","score":0.9520000219345093},{"id":"https://openalex.org/keywords/wake-interaction","display_name":"wake interaction","score":0.9580000042915344},{"id":"https://openalex.org/keywords/wind-direction-variability","display_name":"wind direction variability","score":0.8539999723434448},{"id":"https://openalex.org/keywords/offshore-wind-farms","display_name":"offshore wind farms","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6521999835968018},{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.6450999975204468},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6044999957084656},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.590499997138977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5774000287055969},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5264000296592712},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5194000005722046},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5144000053405762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48910000920295715},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3982999920845032},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3871999979019165},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3871000111103058},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.37940001487731934},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.36090001463890076},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.3594000041484833},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.3497999906539917},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.34299999475479126},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32510000467300415},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.28850001096725464},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.2849999964237213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2639999985694885},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.2624000012874603},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04055","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04055","pdf_url":"https://arxiv.org/pdf/2610.04055","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.04055","doi":"https://doi.org/10.48550/arxiv.2610.04055","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04055","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"pmh:oai:arXiv.org:2610.04055","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04055","pdf_url":"https://arxiv.org/pdf/2610.04055","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.9853000044822693,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220724934.pdf","grobid_xml":"https://content.openalex.org/works/W7220724934.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4417486096","https://openalex.org/W6979280340"],"related_works":["https://openalex.org/W7164002675","https://openalex.org/W7213525116","https://openalex.org/W4417486096","https://openalex.org/W3045774446","https://openalex.org/W1964563535","https://openalex.org/W3118643221","https://openalex.org/W2784049678","https://openalex.org/W3151460328","https://openalex.org/W4407484319","https://openalex.org/W2382476122"],"abstract_inverted_index":{"We":[0,66,88],"consider":[1],"steady-state":[2],"optimization":[3,45],"of":[4,71],"nonlinear":[5],"dynamical":[6],"systems":[7],"under":[8,84,98],"time-varying":[9,99],"stochastic":[10,34,42,63,100],"operating":[11,64],"conditions,":[12],"where":[13],"the":[14,21,29,59,68,91],"objective":[15],"is":[16],"an":[17],"expected-value":[18],"function":[19],"over":[20],"current":[22],"operating-condition":[23],"distribution,":[24],"so":[25],"that":[26,115,128],"changes":[27],"in":[28,79],"distribution":[30],"induce":[31],"a":[32,104,109],"moving":[33],"optimum.":[35],"To":[36],"address":[37],"this":[38],"problem,":[39],"we":[40],"propose":[41],"sequential":[43,53],"feedback":[44],"(S2FO),":[46],"which":[47],"combines":[48],"projected":[49],"feedback-gradient":[50],"updates":[51],"with":[52],"sensitivity":[54],"estimates":[55],"obtained":[56],"by":[57],"linearizing":[58],"plant":[60],"at":[61],"realized":[62],"conditions.":[65],"analyze":[67],"closed-loop":[69],"performance":[70],"S2FO":[72,116],"through":[73],"expected":[74],"dynamic":[75],"regret,":[76],"instantaneous":[77],"tracking":[78],"expectation,":[80],"and":[81,107,127],"almost-sure":[82],"convergence":[83],"diminishing":[85],"step":[86],"sizes.":[87],"then":[89],"apply":[90],"method":[92],"to":[93],"wind":[94,112],"farm":[95,113],"power":[96,119],"maximization":[97],"inflow.":[101],"Simulations":[102],"on":[103,108],"benchmark":[105],"layout":[106],"realistic":[110],"offshore":[111],"show":[114],"improves":[117],"average":[118],"generation":[120],"when":[121],"persistent":[122],"wake":[123],"interactions":[124],"are":[125],"present,":[126],"its":[129],"advantage":[130],"decreases":[131],"as":[132],"wind-direction":[133],"variability":[134],"increases.":[135]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
