{"id":"https://openalex.org/W4390534177","doi":"https://doi.org/10.1109/tcst.2023.3346841","title":"Value Set Method for Robust Stability Analysis of Microgrids With Multiple Uncertain Time Delays","display_name":"Value Set Method for Robust Stability Analysis of Microgrids With Multiple Uncertain Time Delays","publication_year":2024,"publication_date":"2024-01-03","ids":{"openalex":"https://openalex.org/W4390534177","doi":"https://doi.org/10.1109/tcst.2023.3346841"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2023.3346841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2023.3346841","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100582129","display_name":"Linjun Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linjun Wei","raw_affiliation_strings":["School of Electrical Engineering, Shandong University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101797494","display_name":"Hua Ye","orcid":"https://orcid.org/0000-0002-2579-4105"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]},{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Ye","raw_affiliation_strings":["China Electric Power Research Institute, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2579-4105","affiliations":[{"raw_affiliation_string":"China Electric Power Research Institute, Beijing, China","institution_ids":["https://openalex.org/I153473198","https://openalex.org/I4392738113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040855304","display_name":"Qianying Mou","orcid":"https://orcid.org/0000-0002-6090-842X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianying Mou","raw_affiliation_strings":["Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048773702","display_name":"Deling Pang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Deling Pang","raw_affiliation_strings":["State Grid Zhenjiang Power Supply Company, Zhenjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Zhenjiang Power Supply Company, Zhenjiang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006538818","display_name":"Muyang Liu","orcid":"https://orcid.org/0000-0002-0055-4527"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Muyang Liu","raw_affiliation_strings":["School of Electrical Engineering, Xinjiang University, Urumqi, China"],"raw_orcid":"https://orcid.org/0000-0002-0055-4527","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064645927","display_name":"Xiubao Shi","orcid":"https://orcid.org/0009-0008-7791-099X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiubao Shi","raw_affiliation_strings":["Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0009-0008-7791-099X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058363207","display_name":"Yutian Liu","orcid":"https://orcid.org/0000-0001-6932-5207"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yutian Liu","raw_affiliation_strings":["Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-6932-5207","affiliations":[{"raw_affiliation_string":"Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0391,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85644514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"3","first_page":"1105","last_page":"1113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9962999820709229,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9926000237464905,"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/stability","display_name":"Stability (learning theory)","score":0.6168808341026306},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5967363119125366},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5365078449249268},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4378986358642578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41185176372528076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3667197525501251},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26616930961608887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09501630067825317},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09471896290779114},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06232801079750061}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6168808341026306},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5967363119125366},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5365078449249268},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4378986358642578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41185176372528076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3667197525501251},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26616930961608887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09501630067825317},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09471896290779114},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06232801079750061},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2023.3346841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2023.3346841","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G8120872213","display_name":null,"funder_award_id":"52077126","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W143062967","https://openalex.org/W1506119886","https://openalex.org/W2016990092","https://openalex.org/W2037686415","https://openalex.org/W2056524942","https://openalex.org/W2071780137","https://openalex.org/W2072941337","https://openalex.org/W2086162711","https://openalex.org/W2096928643","https://openalex.org/W2099381337","https://openalex.org/W2100757047","https://openalex.org/W2102359339","https://openalex.org/W2109288819","https://openalex.org/W2115344771","https://openalex.org/W2123369396","https://openalex.org/W2149971042","https://openalex.org/W2151903076","https://openalex.org/W2162469661","https://openalex.org/W2172290195","https://openalex.org/W2335956429","https://openalex.org/W2342043944","https://openalex.org/W2779951027","https://openalex.org/W2793043889","https://openalex.org/W2895924786","https://openalex.org/W2969969234","https://openalex.org/W2991672831","https://openalex.org/W3007437303","https://openalex.org/W3081325920","https://openalex.org/W3174789982","https://openalex.org/W3176599214","https://openalex.org/W3185296994","https://openalex.org/W4205817142","https://openalex.org/W4312862635","https://openalex.org/W4312863210","https://openalex.org/W4387428674"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"This":[0],"brief":[1],"proposes":[2],"a":[3,159],"value":[4,72,125],"set-based":[5],"robust":[6],"stability":[7,15,95,117],"analysis":[8],"method":[9,34,127],"to":[10,85,90,150,165],"compute":[11,63],"the":[12,41,45,48,58,64,70,81,86,92,98,116,120,123,138,141,152,155],"time":[13,31,53,59,93,142],"delay":[14,60,94,143],"boundary":[16,96,118],"of":[17,28,36,47,57,69,107,115,137,140,154],"microgrids":[18],"(MGs)":[19],"with":[20,26,97,130],"centralized":[21],"power":[22],"sharing":[23],"control":[24],"and":[25,52,66,74,105,133,135,169],"inclusion":[27],"multiple":[29],"uncertain":[30],"delays.":[32],"The":[33],"consists":[35],"three":[37],"steps.":[38],"First,":[39],"construct":[40],"characteristic":[42],"quasi-polynomial":[43],"in":[44,119],"space":[46,83],"multiplication":[49],"between":[50],"frequency":[51],"delays":[54],"(FDM)":[55],"instead":[56],"space.":[61],"Second,":[62],"external":[65],"internal":[67],"approximations":[68],"corresponding":[71],"set":[73,126],"discriminate":[75],"their":[76],"zero":[77,87],"exclusion/inclusion.":[78],"Finally,":[79],"subdivide":[80],"parameter":[82],"according":[84],"exclusion":[88],"principle":[89],"obtain":[91],"given":[99],"resolution.":[100],"By":[101],"utilizing":[102],"conciseness,":[103],"regularity,":[104],"periodicity":[106],"<inline-formula":[108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[109],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[110],"<tex-math":[111],"notation=\"LaTeX\">$2\\pi":[112],"$":[113],"</tex-math></inline-formula>":[114],"FDM":[121],"space,":[122],"proposed":[124,156],"is":[128,148,163],"endowed":[129],"high":[131],"accuracy":[132,168],"efficiency,":[134],"independent":[136],"magnitude":[139],"intervals.":[144],"A":[145],"numerical":[146],"case":[147,162],"offered":[149],"prove":[151],"efficiency":[153],"method,":[157],"while":[158],"typical":[160],"MG":[161],"presented":[164],"demonstrate":[166],"its":[167],"practical":[170],"applicability.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
