{"id":"https://openalex.org/W4396510457","doi":"https://doi.org/10.3390/a17050191","title":"Mathematical Models for the Single-Channel and Multi-Channel PMU Allocation Problem and Their Solution Algorithms","display_name":"Mathematical Models for the Single-Channel and Multi-Channel PMU Allocation Problem and Their Solution Algorithms","publication_year":2024,"publication_date":"2024-04-30","ids":{"openalex":"https://openalex.org/W4396510457","doi":"https://doi.org/10.3390/a17050191"},"language":"en","primary_location":{"id":"doi:10.3390/a17050191","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050191","pdf_url":"https://www.mdpi.com/1999-4893/17/5/191/pdf?version=1714483707","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/5/191/pdf?version=1714483707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048771745","display_name":"Nikolaos P. Theodorakatos","orcid":"https://orcid.org/0000-0002-0666-9544"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Nikolaos P. Theodorakatos","raw_affiliation_strings":["School of Electrical & Computer Engineering, National Technical University of Athens, 157 80 Athens, Greece"],"raw_orcid":"https://orcid.org/0000-0002-0666-9544","affiliations":[{"raw_affiliation_string":"School of Electrical & Computer Engineering, National Technical University of Athens, 157 80 Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052990647","display_name":"Rohit Babu","orcid":"https://orcid.org/0000-0003-4128-4428"},"institutions":[{"id":"https://openalex.org/I144614875","display_name":"Alliance University","ror":"https://ror.org/03f4gsr42","country_code":"IN","type":"education","lineage":["https://openalex.org/I144614875"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rohit Babu","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, Alliance University, Anekal, Bengaluru 562106, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, Alliance University, Anekal, Bengaluru 562106, India","institution_ids":["https://openalex.org/I144614875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092958728","display_name":"Christos A. Theodoridis","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Christos A. Theodoridis","raw_affiliation_strings":["School of Electrical & Computer Engineering, National Technical University of Athens, 157 80 Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical & Computer Engineering, National Technical University of Athens, 157 80 Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012174220","display_name":"Angelos P. Moschoudis","orcid":"https://orcid.org/0000-0002-1247-0523"},"institutions":[{"id":"https://openalex.org/I4210094138","display_name":"University of West Attica","ror":"https://ror.org/00r2r5k05","country_code":"GR","type":"education","lineage":["https://openalex.org/I4210094138"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Angelos P. Moschoudis","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of West Attica, 122 41 Athens, Greece"],"raw_orcid":"https://orcid.org/0000-0002-1247-0523","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of West Attica, 122 41 Athens, Greece","institution_ids":["https://openalex.org/I4210094138"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048771745"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1782},"fwci":2.7815,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.91180225,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"17","issue":"5","first_page":"191","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9961000084877014,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9961000084877014,"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/T10424","display_name":"Electric Power System Optimization","score":0.9848999977111816,"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":0.9793999791145325,"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/channel","display_name":"Channel (broadcasting)","score":0.7066481113433838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6271005868911743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5422400832176208},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46473076939582825},{"id":"https://openalex.org/keywords/channel-allocation-schemes","display_name":"Channel allocation schemes","score":0.4433170557022095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24260756373405457},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16476133465766907},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.1436096727848053}],"concepts":[{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.7066481113433838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6271005868911743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5422400832176208},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46473076939582825},{"id":"https://openalex.org/C114237682","wikidata":"https://www.wikidata.org/wiki/Q5072483","display_name":"Channel allocation schemes","level":3,"score":0.4433170557022095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24260756373405457},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16476133465766907},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.1436096727848053}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17050191","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050191","pdf_url":"https://www.mdpi.com/1999-4893/17/5/191/pdf?version=1714483707","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:21e48bb20e9f41eb9dea088cb10b52e2","is_oa":true,"landing_page_url":"https://doaj.org/article/21e48bb20e9f41eb9dea088cb10b52e2","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":"Algorithms, Vol 17, Iss 5, p 191 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17050191","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17050191","pdf_url":"https://www.mdpi.com/1999-4893/17/5/191/pdf?version=1714483707","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396510457.pdf"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1589114377","https://openalex.org/W1969908047","https://openalex.org/W1979293753","https://openalex.org/W1994306174","https://openalex.org/W1995343075","https://openalex.org/W2023728975","https://openalex.org/W2032960059","https://openalex.org/W2071946022","https://openalex.org/W2084107255","https://openalex.org/W2091291136","https://openalex.org/W2106424475","https://openalex.org/W2147647602","https://openalex.org/W2160960847","https://openalex.org/W2230864361","https://openalex.org/W2264518202","https://openalex.org/W2317330621","https://openalex.org/W2320684215","https://openalex.org/W2325097044","https://openalex.org/W2345929525","https://openalex.org/W2436447478","https://openalex.org/W2460547016","https://openalex.org/W2462476766","https://openalex.org/W2465319239","https://openalex.org/W2508903054","https://openalex.org/W2587433340","https://openalex.org/W2607920479","https://openalex.org/W2614216270","https://openalex.org/W2784119929","https://openalex.org/W2897191774","https://openalex.org/W2897701498","https://openalex.org/W2904421685","https://openalex.org/W2941821746","https://openalex.org/W2963328442","https://openalex.org/W2988290779","https://openalex.org/W2989854141","https://openalex.org/W2990766281","https://openalex.org/W3043178494","https://openalex.org/W3090096258","https://openalex.org/W3097253919","https://openalex.org/W3104653003","https://openalex.org/W3165574508","https://openalex.org/W3205332535","https://openalex.org/W4200142529","https://openalex.org/W4200447862","https://openalex.org/W4210398141","https://openalex.org/W4220845936","https://openalex.org/W4230289697","https://openalex.org/W4233692232","https://openalex.org/W4241768805","https://openalex.org/W4245608944","https://openalex.org/W4248060422","https://openalex.org/W4253572765","https://openalex.org/W4286586452","https://openalex.org/W4300568640","https://openalex.org/W4309091864","https://openalex.org/W4313503752","https://openalex.org/W4320341302","https://openalex.org/W4323864042","https://openalex.org/W4376275060","https://openalex.org/W4380995076","https://openalex.org/W4385635029","https://openalex.org/W4386645079","https://openalex.org/W4387124883","https://openalex.org/W4387124950","https://openalex.org/W4388499688","https://openalex.org/W4391813151","https://openalex.org/W4392155748","https://openalex.org/W4405596677","https://openalex.org/W6786230449","https://openalex.org/W6855151372"],"related_works":["https://openalex.org/W2130113566","https://openalex.org/W1980742129","https://openalex.org/W2092102680","https://openalex.org/W2171803295","https://openalex.org/W2136549755","https://openalex.org/W2118284201","https://openalex.org/W2107753069","https://openalex.org/W2132402801","https://openalex.org/W2520712141","https://openalex.org/W2151187118"],"abstract_inverted_index":{"Phasor":[0],"measurement":[1],"units":[2],"(PMUs)":[3],"are":[4,113,133,179,195,214],"deployed":[5],"at":[6,31],"power":[7,16,33,118,240],"grid":[8,34],"nodes":[9],"around":[10],"the":[11,37,45,49,55,71,106,117,137,143,161,187,217,223,235,238],"transmission":[12,107],"grid,":[13],"determining":[14],"precise":[15],"system":[17],"monitoring":[18,88],"conditions.":[19],"In":[20,52],"real":[21],"life,":[22],"it":[23],"is":[24,41,59,90,98,146,166],"not":[25],"realistic":[26],"to":[27,100,116,173,221,242],"place":[28],"a":[29,96,149,169],"PMU":[30,39,56,73,97],"every":[32],"node;":[35],"thus,":[36],"lowest":[38],"number":[40,79,84],"optimally":[42],"selected":[43],"for":[44,226],"full":[46],"observation":[47],"of":[48,80,85,93,237],"entire":[50],"network.":[51],"this":[53,231],"study,":[54],"placement":[57,67,74],"model":[58,75,145],"reconsidered,":[60],"taking":[61],"into":[62,168],"account":[63],"single-":[64],"and":[65,121,157,194,211],"multi-capacity":[66],"models":[68,112,178],"rather":[69],"than":[70],"well-studied":[72],"with":[76,136,203],"an":[77],"unrestricted":[78],"channels.":[81],"A":[82],"restricted":[83],"channels":[86],"per":[87],"device":[89],"used,":[91],"instead":[92],"supposing":[94],"that":[95],"able":[99],"observe":[101],"all":[102,196],"incident":[103],"buses":[104],"through":[105],"connectivity":[108],"lines.":[109],"The":[110,176],"optimization":[111,131,192],"declared":[114,147],"closely":[115],"dominating":[119],"set":[120,139],"minimum":[122,138],"edge":[123],"cover":[124],"problem":[125,165],"in":[126,182,186,198,201,216,230],"graph":[127],"theory.":[128],"These":[129],"discrete":[130],"problems":[132],"directly":[134],"related":[135],"covering":[140],"problem.":[141],"Initially,":[142],"allocation":[144],"as":[148],"constrained":[150],"mixed-integer":[151],"linear":[152,164,206],"program":[153,172],"implemented":[154,197],"by":[155],"mathematical":[156,177],"stochastic":[158],"algorithms.":[159],"Then,":[160],"0/1":[162],"integer":[163],"reformulated":[167],"non-convex":[170],"constraint":[171],"find":[174],"optimality.":[175],"solved":[180,229],"either":[181],"binary":[183],"form":[184],"or":[185],"continuous":[188],"domain":[189],"using":[190],"specialized":[191],"libraries,":[193],"YALMIP":[199],"software":[200,219],"conjunction":[202],"MATLAB.":[204],"Mixed-integer":[205],"solvers,":[207,210],"nonlinear":[208],"programming":[209],"heuristic":[212],"algorithms":[213],"utilized":[215],"aforementioned":[218],"packages":[220],"locate":[222],"global":[224],"solution":[225],"each":[227],"instance":[228],"application,":[232],"which":[233],"considers":[234],"transformation":[236],"existing":[239],"grids":[241],"smart":[243],"grids.":[244]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":7}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
