{"id":"https://openalex.org/W7170066177","doi":"https://doi.org/10.48550/arxiv.2607.18894","title":"Bifurcation Analysis of Sub-Synchronous Oscillations Related to Grid-Forming Converter Inner Controllers","display_name":"Bifurcation Analysis of Sub-Synchronous Oscillations Related to Grid-Forming Converter Inner Controllers","publication_year":2026,"publication_date":"2026-07-21","ids":{"openalex":"https://openalex.org/W7170066177","doi":"https://doi.org/10.48550/arxiv.2607.18894"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2607.18894","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.18894","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2607.18894","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054522358","display_name":"Luke Benedetti","orcid":"https://orcid.org/0000-0002-6105-5350"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benedetti, Luke Ian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086054584","display_name":"Robin Preece","orcid":"https://orcid.org/0000-0003-1224-0397"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Preece, Robin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036533432","display_name":"Panagiotis N. Papadopoulos","orcid":"https://orcid.org/0000-0001-7343-2590"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Papadopoulos, Panagiotis N.","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":0.9473000168800354,"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":0.9473000168800354,"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":0.02500000037252903,"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":0.0044999998062849045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.761900007724762},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7239999771118164},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6549000144004822},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.6244999766349792},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5537999868392944},{"id":"https://openalex.org/keywords/numerical-continuation","display_name":"Numerical continuation","score":0.5412999987602234},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5238000154495239},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5044999718666077},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4993000030517578},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4796999990940094}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.761900007724762},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7239999771118164},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6549000144004822},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5537999868392944},{"id":"https://openalex.org/C2775978667","wikidata":"https://www.wikidata.org/wiki/Q7069654","display_name":"Numerical continuation","level":4,"score":0.5412999987602234},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5238000154495239},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5044999718666077},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4993000030517578},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4796999990940094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4731000065803528},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.45339998602867126},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.44449999928474426},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.41679999232292175},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.4104999899864197},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4099000096321106},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.39739999175071716},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.38019999861717224},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.34200000762939453},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.3336000144481659},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.3172999918460846},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28529998660087585},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2782000005245209},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.2770000100135803},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C101382669","wikidata":"https://www.wikidata.org/wiki/Q1616769","display_name":"Ferroresonance in electricity networks","level":4,"score":0.2590999901294708}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2607.18894","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.18894","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2607.18894","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.18894","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5978704690933228,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"To":[0],"ensure":[1],"power":[2,15,40],"system":[3,16],"stability":[4,46,71],"and":[5,38,89],"security,":[6],"it":[7],"is":[8],"vital":[9],"to":[10,19,29,75,80],"understand":[11],"the":[12,81,85,97,110,114,128,131,144,153],"complex":[13],"nonlinear":[14],"dynamics":[17],"related":[18],"converter-interfaced":[20],"generators.":[21],"For":[22],"example,":[23],"grid-forming":[24],"(GFM)":[25],"converters":[26],"are":[27],"expected":[28],"be":[30],"a":[31,36,62,67],"key":[32],"asset":[33],"for":[34,155,161],"maintaining":[35],"strong":[37,98],"stable":[39],"system,":[41],"but":[42],"might":[43],"cause":[44],"wide-bandwidth":[45],"issues":[47],"with":[48,73,143],"underlying":[49],"mechanisms":[50],"heretofore":[51],"unseen":[52],"or":[53],"understudied,":[54],"including":[55,107],"sub-synchronous":[56],"oscillations":[57],"(SSOs).":[58],"This":[59],"paper":[60],"details":[61],"continuation-based":[63],"bifurcation":[64,116,166],"analysis":[65,95],"of":[66,84,109,121,130,158],"GFM":[68],"converter,":[69],"revealing":[70,118,135],"bounds":[72],"respect":[74],"operational":[76],"conditions":[77],"in":[78,139,165],"addition":[79],"time":[82],"constant":[83],"cascaded":[86],"inner":[87,104],"voltage":[88],"current":[90,133],"controllers.":[91],"We":[92],"focus":[93],"our":[94],"on":[96],"grid":[99],"instability":[100],"caused":[101],"by":[102],"an":[103],"controller-related":[105],"SSO,":[106],"continuation":[108],"limit":[111],"cycle":[112],"past":[113],"Hopf":[115,137],"point,":[117],"rapid":[119],"onset":[120],"unacceptably":[122],"large":[123],"oscillations.":[124],"Furthermore,":[125],"we":[126],"investigate":[127],"impact":[129],"circular":[132],"limiter,":[134],"spurious":[136],"bifurcations":[138],"weak":[140],"grids":[141],"associated":[142],"aforementioned":[145],"SSO":[146],"when":[147],"adopting":[148],"smooth":[149],"approximations;":[150],"this":[151],"suggests":[152],"need":[154],"careful":[156],"implementation":[157],"such":[159],"approximations":[160],"GFMs,":[162],"at":[163],"least":[164],"studies.":[167]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-07-23T00:00:00"}