{"id":"https://openalex.org/W2910038771","doi":"https://doi.org/10.1109/tsg.2019.2892201","title":"Robust Optimization for Microgrid Defense Resource Planning and Allocation Against Multi-Period Attacks","display_name":"Robust Optimization for Microgrid Defense Resource Planning and Allocation Against Multi-Period Attacks","publication_year":2019,"publication_date":"2019-01-10","ids":{"openalex":"https://openalex.org/W2910038771","doi":"https://doi.org/10.1109/tsg.2019.2892201","mag":"2910038771"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2019.2892201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2019.2892201","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","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/A5102811481","display_name":"Hongtao Lei","orcid":"https://orcid.org/0000-0002-1298-193X"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongtao Lei","raw_affiliation_strings":["Department of Systems Engineering, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049743314","display_name":"Shengjun Huang","orcid":"https://orcid.org/0000-0002-4703-9020"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengjun Huang","raw_affiliation_strings":["Department of Systems Engineering, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101411270","display_name":"Yajie Liu","orcid":"https://orcid.org/0000-0002-2323-0234"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yajie Liu","raw_affiliation_strings":["Department of Systems Engineering, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100375762","display_name":"Tao Zhang","orcid":"https://orcid.org/0000-0002-0432-2942"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Zhang","raw_affiliation_strings":["Department of Systems Engineering, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"Department of Systems Engineering, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102811481"],"corresponding_institution_ids":["https://openalex.org/I170215575"],"apc_list":null,"apc_paid":null,"fwci":3.378,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.92699836,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"5","first_page":"5841","last_page":"5850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9990000128746033,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9990000128746033,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9980000257492065,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9972000122070312,"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/microgrid","display_name":"Microgrid","score":0.9502973556518555},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5616776347160339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5361632704734802},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5211946368217468},{"id":"https://openalex.org/keywords/transmission-line","display_name":"Transmission line","score":0.498060941696167},{"id":"https://openalex.org/keywords/electric-power-transmission","display_name":"Electric power transmission","score":0.49282029271125793},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4695262014865875},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4591197073459625},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4401801824569702},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43848252296447754},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43236905336380005},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3517482578754425},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.34271159768104553},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1173245906829834},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09842643141746521},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08225288987159729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07939475774765015}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.9502973556518555},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5616776347160339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5361632704734802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5211946368217468},{"id":"https://openalex.org/C33441834","wikidata":"https://www.wikidata.org/wiki/Q693004","display_name":"Transmission line","level":2,"score":0.498060941696167},{"id":"https://openalex.org/C140311924","wikidata":"https://www.wikidata.org/wiki/Q200928","display_name":"Electric power transmission","level":2,"score":0.49282029271125793},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4695262014865875},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4591197073459625},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4401801824569702},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43848252296447754},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43236905336380005},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3517482578754425},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.34271159768104553},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1173245906829834},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09842643141746521},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08225288987159729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07939475774765015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2019.2892201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2019.2892201","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G1423295044","display_name":null,"funder_award_id":"71571187","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1849858636","display_name":null,"funder_award_id":"71201170","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G224006038","display_name":null,"funder_award_id":"13JJ4010","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1607032092","https://openalex.org/W1966742620","https://openalex.org/W1966925146","https://openalex.org/W1967346783","https://openalex.org/W1981637143","https://openalex.org/W1993377828","https://openalex.org/W1996774007","https://openalex.org/W1997679353","https://openalex.org/W2006093909","https://openalex.org/W2012848440","https://openalex.org/W2022825392","https://openalex.org/W2030366998","https://openalex.org/W2045950406","https://openalex.org/W2067108585","https://openalex.org/W2089953380","https://openalex.org/W2094046135","https://openalex.org/W2122072670","https://openalex.org/W2131116400","https://openalex.org/W2136782285","https://openalex.org/W2138615297","https://openalex.org/W2148534455","https://openalex.org/W2165441339","https://openalex.org/W2170617971","https://openalex.org/W2277817011","https://openalex.org/W2290410061","https://openalex.org/W2343419487","https://openalex.org/W2423579730","https://openalex.org/W2468425424","https://openalex.org/W2613818784","https://openalex.org/W6641963197"],"related_works":["https://openalex.org/W1574359403","https://openalex.org/W2057975886","https://openalex.org/W4308700935","https://openalex.org/W1656421420","https://openalex.org/W3115307632","https://openalex.org/W4255886484","https://openalex.org/W787855002","https://openalex.org/W2949628984","https://openalex.org/W2096055231","https://openalex.org/W3109294920"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"a":[3,48,63],"microgrid":[4,101,124],"defense":[5],"resource":[6],"planning":[7],"and":[8,21,28,39,77,89,144,150,168],"allocation":[9,79],"problem":[10,59],"with":[11,154,165],"the":[12,32,41,58,68,71,82,86,91,94,97,105,109,113,118,122,128,137,147],"consideration":[13],"of":[14,84,100,146],"multiperiod":[15,49,110],"attacks.":[16],"The":[17,142],"defensive":[18,74],"transmission":[19,37,98],"lines":[20,38,99],"distributed":[22],"generators":[23],"(DGs)":[24],"are,":[25],"respectively,":[26],"planned":[27],"allocated":[29],"to":[30,116,126],"mitigate":[31],"multi-period":[33],"attack":[34],"damage":[35,107],"on":[36,47,121,136],"minimize":[40,127],"shed":[42,129],"loads":[43],"for":[44,57,81],"microgrid,":[45],"based":[46,135],"defender-attacker-defender":[50],"model.":[51],"Robust":[52],"optimization":[53],"technique":[54],"is":[55,133,161],"utilized":[56],"formulation,":[60],"resulting":[61],"in":[62,67,90],"two-stage":[64],"decision":[65],"process:":[66],"first":[69],"stage,":[70,93],"defender":[72,114],"proposes":[73],"line":[75],"plan":[76],"DG":[78],"scheme":[80],"purpose":[83],"minimizing":[85],"attacker's":[87],"damage;":[88],"second":[92],"attacker":[95],"disrupts":[96],"system":[102,125],"aiming":[103],"at":[104],"maximum":[106],"by":[108],"attacks,":[111],"then":[112],"reacts":[115],"optimize":[117],"power":[119],"flow":[120],"remaining":[123],"loads.":[130],"Solution":[131],"process":[132],"developed":[134],"customized":[138],"column-and-constraint":[139],"generation":[140],"algorithm.":[141],"effectiveness":[143],"superiority":[145],"proposed":[148],"model":[149],"algorithm":[151],"are":[152],"validated":[153],"numerical":[155],"experiments.":[156],"In":[157],"addition,":[158],"sensitivity":[159],"analysis":[160],"also":[162],"carried":[163],"out":[164],"various":[166],"parameters":[167],"settings.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
