{"id":"https://openalex.org/W7160551262","doi":"https://doi.org/10.48550/arxiv.2605.04197","title":"Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics","display_name":"Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics","publication_year":2026,"publication_date":"2026-05-05","ids":{"openalex":"https://openalex.org/W7160551262","doi":"https://doi.org/10.48550/arxiv.2605.04197"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.04197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04197","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.04197","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135550240","display_name":"Sixu Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Sixu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135590133","display_name":"Chenmin Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Chenmin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011403908","display_name":"Aiqing Zhu","orcid":"https://orcid.org/0000-0002-7473-9604"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhu, Aiqing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135628601","display_name":"Yang Liu","orcid":"https://orcid.org/0009-0008-5111-7248"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002268117","display_name":"Jianxi Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin, Jianxi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5053465742","display_name":"Yifa Tang","orcid":"https://orcid.org/0000-0002-3301-3487"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tang, Yifa","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":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/T10305","display_name":"Power System Optimization and Stability","score":0.907800018787384,"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/T10305","display_name":"Power System Optimization and Stability","score":0.907800018787384,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.023099999874830246,"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/T10740","display_name":"Wind Turbine Control Systems","score":0.007899999618530273,"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/boundary","display_name":"Boundary (topology)","score":0.6927000284194946},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.6129000186920166},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6053000092506409},{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.5932000279426575},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5547000169754028},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5371000170707703},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5271999835968018},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4474000036716461},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44290000200271606}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6927000284194946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6215999722480774},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.6129000186920166},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6053000092506409},{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.5932000279426575},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5547000169754028},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5371000170707703},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4474000036716461},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44290000200271606},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.38830000162124634},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3774999976158142},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37630000710487366},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.36039999127388},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.3594000041484833},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.35670000314712524},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3292999863624573},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.31029999256134033},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.29910001158714294},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27709999680519104},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.25929999351501465}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.04197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04197","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.04197","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.04197","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"power":[1,63],"system,":[2],"a":[3,58,68,138,142,180],"fundamental":[4],"public":[5],"utility,":[6],"is":[7,34,123],"increasingly":[8],"important":[9],"due":[10],"to":[11,88],"growing":[12],"global":[13],"electricity":[14],"demand.":[15],"Recent":[16],"large-scale":[17],"blackouts":[18],"(e.g.,":[19],"Iberian":[20],"Peninsula,":[21],"UK)":[22],"have":[23],"raised":[24],"concerns":[25],"about":[26],"transient":[27,185],"stability":[28,33,139,186],"under":[29,114],"impact":[30],"faults.":[31],"Transient":[32],"determined":[35],"by":[36],"post-disturbance":[37],"synchronizing":[38],"capability":[39],"of":[40,48,52,61,126,129,132,175],"synchronous":[41],"generators,":[42],"formulated":[43],"as":[44],"identifying":[45],"the":[46,53,90,120,124,127,162,168,172,176],"domain":[47],"attraction":[49],"(DOA)":[50],"boundary":[51,97,122],"asymptotically":[54],"stable":[55,85,111,130],"equilibrium.":[56],"Using":[57],"benchmark":[59],"model":[60],"synchronous-generator-dominated":[62],"systems,":[64],"this":[65],"report":[66],"employs":[67],"gentlest":[69],"ascent":[70],"dynamics":[71],"(GAD)":[72],"method":[73,80],"for":[74,81,141,184],"1-saddle":[75],"points,":[76],"an":[77],"adjoint":[78],"operator":[79],"periodic":[82,107,159],"orbits,":[83],"and":[84,106,109,136,150,164],"manifold":[86],"algorithms":[87,94,169],"compute":[89],"DOA":[91,96,121,177],"boundary.":[92],"These":[93],"transform":[95],"determination":[98],"into":[99],"constructing":[100],"unstable":[101],"critical":[102,134],"elements":[103],"(saddle":[104],"points":[105,156],"orbits)":[108,160],"their":[110],"manifolds.":[112],"Theoretically,":[113],"certain":[115],"assumptions":[116],"we":[117],"prove":[118],"that":[119],"closure":[125],"union":[128],"manifolds":[131],"index-1":[133],"elements,":[135],"establish":[137],"theory":[140],"perturbed":[143],"GAD":[144],"system.":[145],"Numerical":[146],"experiments":[147],"on":[148],"two-machine":[149],"three-machine":[151],"systems":[152],"(with":[153],"only":[154],"saddle":[155],"or":[157],"with":[158],"validate":[161],"effectiveness":[163],"accuracy.":[165],"Results":[166],"show":[167],"accurately":[170],"capture":[171],"geometric":[173],"structure":[174],"boundary,":[178],"providing":[179],"new":[181],"numerical":[182],"tool":[183],"analysis.":[187]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-08T00:00:00"}
