{"id":"https://openalex.org/W4312231292","doi":"https://doi.org/10.1109/access.2022.3218327","title":"Critical Propagation Path Identification for Cascading Overload Failures With Multi-Stage MILP","display_name":"Critical Propagation Path Identification for Cascading Overload Failures With Multi-Stage MILP","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312231292","doi":"https://doi.org/10.1109/access.2022.3218327"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3218327","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218327","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09941156.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09941156.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037180913","display_name":"Leibao Wang","orcid":"https://orcid.org/0000-0001-6748-4642"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Leibao Wang","raw_affiliation_strings":["State Grid Hebei Electric Power Research Institute, Shijiazhuang, China"],"raw_orcid":"https://orcid.org/0000-0001-6748-4642","affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Research Institute, Shijiazhuang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112340414","display_name":"Siming Zeng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siming Zeng","raw_affiliation_strings":["State Grid Hebei Electric Power Research Institute, Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Research Institute, Shijiazhuang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100305973","display_name":"Jifeng Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jifeng Liang","raw_affiliation_strings":["State Key Laboratory of Power Transmission Equipment and System Security, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Transmission Equipment and System Security, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005169263","display_name":"Hui Fan","orcid":"https://orcid.org/0000-0002-3809-604X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hui Fan","raw_affiliation_strings":["State Grid Hebei Electric Power Supply Company Ltd., Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Supply Company Ltd., Shijiazhuang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028557941","display_name":"Tiecheng Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tiecheng Li","raw_affiliation_strings":["State Grid Hebei Electric Power Research Institute, Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Research Institute, Shijiazhuang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100619690","display_name":"Peng Luo","orcid":"https://orcid.org/0000-0003-1592-6810"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peng Luo","raw_affiliation_strings":["State Grid Hebei Electric Power Research Institute, Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Research Institute, Shijiazhuang, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071190449","display_name":"Shiyang Rong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shiyang Rong","raw_affiliation_strings":["State Grid Hebei Electric Power Research Institute, Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Hebei Electric Power Research Institute, Shijiazhuang, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028864691","display_name":"Bo Hu","orcid":"https://orcid.org/0000-0002-0844-3303"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Hu","raw_affiliation_strings":["State Key Laboratory of Power Transmission Equipment and System Security, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-0844-3303","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Transmission Equipment and System Security, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5037180913"],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0861,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7569039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":null,"first_page":"117561","last_page":"117571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11941","display_name":"Power System Reliability and Maintenance","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T11941","display_name":"Power System Reliability and Maintenance","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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":0.9997000098228455,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9993000030517578,"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/cascading-failure","display_name":"Cascading failure","score":0.7727314233779907},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.663378119468689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6502388715744019},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5842887759208679},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5308113098144531},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5302954316139221},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.49202463030815125},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.47242510318756104},{"id":"https://openalex.org/keywords/electric-power-transmission","display_name":"Electric power transmission","score":0.4232412874698639},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3869062066078186},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3547881841659546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20760509371757507},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17011207342147827},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.14086848497390747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13775634765625},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11627021431922913}],"concepts":[{"id":"https://openalex.org/C119323957","wikidata":"https://www.wikidata.org/wiki/Q5048226","display_name":"Cascading failure","level":4,"score":0.7727314233779907},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.663378119468689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6502388715744019},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5842887759208679},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5308113098144531},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5302954316139221},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.49202463030815125},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.47242510318756104},{"id":"https://openalex.org/C140311924","wikidata":"https://www.wikidata.org/wiki/Q200928","display_name":"Electric power transmission","level":2,"score":0.4232412874698639},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3869062066078186},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3547881841659546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20760509371757507},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17011207342147827},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.14086848497390747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13775634765625},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11627021431922913},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3218327","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218327","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09941156.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:09c4ffe98baf4a49a70dae3f185de60c","is_oa":true,"landing_page_url":"https://doaj.org/article/09c4ffe98baf4a49a70dae3f185de60c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 117561-117571 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3218327","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3218327","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09941156.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335967","display_name":"Science and Technology Project of State Grid","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312231292.pdf","grobid_xml":"https://content.openalex.org/works/W4312231292.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W808441817","https://openalex.org/W1529547156","https://openalex.org/W1909467347","https://openalex.org/W1980364886","https://openalex.org/W1999071210","https://openalex.org/W2005246195","https://openalex.org/W2035579008","https://openalex.org/W2060236658","https://openalex.org/W2116898337","https://openalex.org/W2120747200","https://openalex.org/W2141425895","https://openalex.org/W2175357651","https://openalex.org/W2313171746","https://openalex.org/W2342709508","https://openalex.org/W2346703641","https://openalex.org/W2513580371","https://openalex.org/W2528357447","https://openalex.org/W2559953650","https://openalex.org/W2602907519","https://openalex.org/W2762362330","https://openalex.org/W2765201768","https://openalex.org/W2769051030","https://openalex.org/W2805209061","https://openalex.org/W2904335410","https://openalex.org/W2914207938","https://openalex.org/W2979852871","https://openalex.org/W2989802359","https://openalex.org/W2996512964","https://openalex.org/W3002957949","https://openalex.org/W3003430627","https://openalex.org/W3010996242","https://openalex.org/W3024933185","https://openalex.org/W3043969604","https://openalex.org/W3048412979","https://openalex.org/W3092757230","https://openalex.org/W3116723889","https://openalex.org/W3130118012","https://openalex.org/W3154375737"],"related_works":["https://openalex.org/W2355051428","https://openalex.org/W2373141077","https://openalex.org/W2608186352","https://openalex.org/W3159334627","https://openalex.org/W2371613754","https://openalex.org/W2781479787","https://openalex.org/W4360995490","https://openalex.org/W2118408448","https://openalex.org/W2392442953","https://openalex.org/W2540176670"],"abstract_inverted_index":{"Cascading":[0],"overload":[1,21,79],"failures":[2,22],"of":[3,8,19,40,73,77,106,130,141],"transmission":[4],"lines":[5,53],"are":[6,58,84,137],"one":[7],"the":[9,38,55,71,74,88,104,107,118,124,128,147],"dominant":[10],"factors":[11],"that":[12,123,136],"induce":[13],"catastrophic":[14],"blackouts.":[15],"The":[16,49,65,114],"reliability":[17],"risk":[18],"cascading":[20,46,78],"is":[23,68,100],"significantly":[24],"underestimated":[25],"in":[26,54],"traditional":[27,148],"adequacy":[28],"assessment":[29,39],"studies.":[30],"This":[31],"paper":[32],"proposes":[33],"an":[34],"evaluation":[35,90],"model":[36,91,109,126],"for":[37],"<italic":[41],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N-k</i>":[43],"contingencies":[44],"as":[45],"overloading":[47],"failures.":[48,80],"interactions":[50],"between":[51],"outaged":[52],"propagation":[56,75,132],"path":[57,76],"revealed":[59],"with":[60,134,146],"a":[61,138],"multi-stage":[62],"optimization":[63],"problem.":[64],"objective":[66],"function":[67],"to":[69,86,92,102,110],"maximize":[70],"probability":[72],"Several":[81],"linearization":[82],"techniques":[83],"proposed":[85,108,125],"convert":[87],"nonlinear":[89],"mixed-integer":[93],"linear":[94],"programming.":[95],"A":[96],"rolling":[97],"search":[98],"algorithm":[99],"adopted":[101],"improve":[103],"capability":[105],"evaluate":[111],"high-order":[112],"contingencies.":[113],"case":[115],"studies":[116],"on":[117],"IEEE":[119],"118-bus":[120],"systems":[121],"show":[122],"enables":[127],"identification":[129],"critical":[131],"paths":[133],"probabilities":[135],"few":[139],"orders":[140],"magnitude":[142],"larger":[143],"than":[144],"those":[145],"method.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}