{"id":"https://openalex.org/W7167259159","doi":"https://doi.org/10.48550/arxiv.2607.01643","title":"Decentralized Stability Certificates in IBR-Dominated Grids: The Role of the Network State","display_name":"Decentralized Stability Certificates in IBR-Dominated Grids: The Role of the Network State","publication_year":2026,"publication_date":"2026-07-02","ids":{"openalex":"https://openalex.org/W7167259159","doi":"https://doi.org/10.48550/arxiv.2607.01643"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2607.01643","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.01643","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,"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.2607.01643","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010362666","display_name":"Zhimeng Wang","orcid":"https://orcid.org/0009-0006-3139-9167"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Zhimeng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037029354","display_name":"Sushobhan Chatterjee","orcid":"https://orcid.org/0000-0003-4324-8674"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chatterjee, Sushobhan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060157542","display_name":"Sijia Geng","orcid":"https://orcid.org/0000-0002-5477-2378"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Geng, Sijia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139960451","display_name":"Richard Pates","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pates, Richard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032910355","display_name":"Enrique Mallada","orcid":"https://orcid.org/0000-0003-1568-1833"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mallada, Enrique","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/T10223","display_name":"Microgrid Control and Optimization","score":0.835099995136261,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.835099995136261,"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/T10305","display_name":"Power System Optimization and Stability","score":0.05480000004172325,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.03909999877214432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7353000044822693},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.6363999843597412},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.5877000093460083},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5493000149726868},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5443999767303467},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.5249000191688538},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4803999960422516},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4625000059604645},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4242999851703644}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7353000044822693},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.6363999843597412},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.5877000093460083},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5493000149726868},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5443999767303467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5273000001907349},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.5249000191688538},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4803999960422516},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4625000059604645},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4242999851703644},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.4131999909877777},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4099999964237213},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39480000734329224},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.36559998989105225},{"id":"https://openalex.org/C2989126829","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Power network","level":4,"score":0.33640000224113464},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.32010000944137573},{"id":"https://openalex.org/C196796808","wikidata":"https://www.wikidata.org/wiki/Q132629","display_name":"Electrical network","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C104122410","wikidata":"https://www.wikidata.org/wiki/Q1416406","display_name":"Network model","level":2,"score":0.2872999906539917},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.275299996137619},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.2705000042915344},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26840001344680786},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26190000772476196}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2607.01643","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.01643","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,"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.2607.01643","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.01643","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,"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":{"Small-signal":[0],"instabilities,":[1],"such":[2],"as":[3,37],"unforced":[4],"sub-synchronous":[5],"oscillations":[6],"(SSOs),":[7],"are":[8,30],"increasingly":[9],"observed":[10],"in":[11],"inverter-based":[12],"resource":[13],"(IBR)":[14],"dominated":[15],"grids.":[16],"While":[17],"decentralized":[18,65,109],"stability":[19,110],"certificates":[20,111],"offer":[21],"a":[22,60,64],"scalable":[23],"means":[24],"to":[25,97],"avoid":[26],"instability":[27],"onset,":[28],"they":[29],"typically":[31],"derived":[32],"under":[33],"restrictive":[34],"network-state":[35,113],"assumptions--such":[36],"small":[38],"angle":[39],"differences":[40],"or":[41],"negligible":[42],"voltage":[43],"drops--that":[44],"cannot":[45],"capture":[46],"how":[47,71,116],"departures":[48],"from":[49],"these":[50],"conditions":[51,100],"affect":[52],"system":[53],"stability.":[54,84],"In":[55],"this":[56],"paper,":[57],"we":[58],"develop":[59],"network":[61,117],"model":[62],"and":[63,77,93],"analysis":[66],"framework":[67],"that":[68,87],"explicitly":[69,112],"characterizes":[70],"reactive":[72,90],"power":[73,91],"mismatches,":[74],"line":[75,94],"loading,":[76],"inverter":[78,103],"control":[79],"parameters":[80],"jointly":[81],"determine":[82],"small-signal":[83],"We":[85],"show":[86],"increased":[88],"steady-state":[89],"mismatches":[92],"loading":[95],"lead":[96],"more":[98],"stringent":[99],"on":[101],"admissible":[102],"droop":[104],"gains.":[105],"These":[106],"results":[107],"make":[108],"dependent,":[114],"showing":[115],"stress":[118],"shrinks":[119],"the":[120],"set":[121],"of":[122],"stabilizing":[123],"local":[124],"controller":[125],"parameters.":[126]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-07-04T00:00:00"}
