{"id":"https://openalex.org/W4409467019","doi":"https://doi.org/10.1038/s41598-025-97606-y","title":"Optimal allocation of hybrid PVDG and DSVC devices into distribution grids using a modified NRBO algorithm considering the overcurrent protection characteristics","display_name":"Optimal allocation of hybrid PVDG and DSVC devices into distribution grids using a modified NRBO algorithm considering the overcurrent protection characteristics","publication_year":2025,"publication_date":"2025-04-15","ids":{"openalex":"https://openalex.org/W4409467019","doi":"https://doi.org/10.1038/s41598-025-97606-y","pmid":"https://pubmed.ncbi.nlm.nih.gov/40234647","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/12000557"},"language":"en","primary_location":{"id":"doi:10.1038/s41598-025-97606-y","doi":"https://doi.org/10.1038/s41598-025-97606-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-97606-y","pdf_url":"https://www.nature.com/articles/s41598-025-97606-y.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.nature.com/articles/s41598-025-97606-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003611574","display_name":"Nasreddine Belbachir","orcid":"https://orcid.org/0000-0002-6428-3092","observed_orcids":["https://orcid.org/0000-0002-6428-3092"]},"institutions":[{"id":"https://openalex.org/I177657909","display_name":"Universit\u00e9 de Mostaganem","ror":"https://ror.org/052r04325","country_code":"DZ","type":"education","lineage":["https://openalex.org/I177657909"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Nasreddine Belbachir","raw_affiliation_strings":["Department of Electrical Engineering, University of Mostaganem, 27000, Mostaganem, Algeria. nasreddine.belbachir.etu@univ-mosta.dz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Mostaganem, 27000, Mostaganem, Algeria. nasreddine.belbachir.etu@univ-mosta.dz","institution_ids":["https://openalex.org/I177657909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006957394","display_name":"Mohamed Zellagui","orcid":"https://orcid.org/0000-0003-2558-2273","observed_orcids":["https://orcid.org/0000-0003-2558-2273"]},"institutions":[{"id":"https://openalex.org/I4387153399","display_name":"University of Batna 2","ror":"https://ror.org/02yvp6477","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4387153399"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Mohamed Zellagui","raw_affiliation_strings":["Department of Electromechanical Engineering, University of Batna 2, 05078, Batna, Algeria. m.zellagui@univ-batna2.dz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electromechanical Engineering, University of Batna 2, 05078, Batna, Algeria. m.zellagui@univ-batna2.dz","institution_ids":["https://openalex.org/I4387153399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057785018","display_name":"Haitham A. Mahmoud","orcid":"https://orcid.org/0000-0002-7873-0586","observed_orcids":["https://orcid.org/0000-0002-7873-0586"]},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Haitham A. Mahmoud","raw_affiliation_strings":["Industrial Engineering Department, College of Engineering, King Saud University, 11421, Riyadh, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering Department, College of Engineering, King Saud University, 11421, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013128456","display_name":"Fatma A. Hashim","orcid":"https://orcid.org/0000-0003-3483-5498","observed_orcids":["https://orcid.org/0000-0003-3483-5498"]},"institutions":[{"id":"https://openalex.org/I146367977","display_name":"Applied Science Private University","ror":"https://ror.org/01ah6nb52","country_code":"JO","type":"education","lineage":["https://openalex.org/I146367977"]},{"id":"https://openalex.org/I84058292","display_name":"Helwan University","ror":"https://ror.org/00h55v928","country_code":"EG","type":"education","lineage":["https://openalex.org/I84058292"]}],"countries":["EG","JO"],"is_corresponding":false,"raw_author_name":"Fatma A. Hashim","raw_affiliation_strings":["Applied Science Research Center, Applied Science Private University, Amman, Jordan","Faculty of Engineering, Helwan University, Helwan, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Science Research Center, Applied Science Private University, Amman, Jordan","institution_ids":["https://openalex.org/I146367977"]},{"raw_affiliation_string":"Faculty of Engineering, Helwan University, Helwan, Egypt","institution_ids":["https://openalex.org/I84058292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083872954","display_name":"Radwa El Shawi","orcid":"https://orcid.org/0000-0002-5679-9099","observed_orcids":["https://orcid.org/0000-0002-5679-9099"]},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Radwa El Shawi","raw_affiliation_strings":["Institute of Computer Science, University of Tartu, Tartu, Estonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Tartu, Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046745413","display_name":"Fatma Hilal Ya\u011f\u0131n","orcid":"https://orcid.org/0000-0002-9848-7958","observed_orcids":["https://orcid.org/0000-0002-9848-7958"]},"institutions":[{"id":"https://openalex.org/I20126385","display_name":"Inonu University","ror":"https://ror.org/04asck240","country_code":"TR","type":"education","lineage":["https://openalex.org/I20126385"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Fatma Hilal Yagin","raw_affiliation_strings":["Department of Biostatistics and Medical Informatics, Faculty of Medicine, Inonu University, Malatya, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biostatistics and Medical Informatics, Faculty of Medicine, Inonu University, Malatya, Turkey","institution_ids":["https://openalex.org/I20126385"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052602457","display_name":"Riyadh M. Al-Tam","orcid":"https://orcid.org/0000-0002-9954-7529","observed_orcids":["https://orcid.org/0000-0002-9954-7529"]},"institutions":[{"id":"https://openalex.org/I196652580","display_name":"Swami Ramanand Teerth Marathwada University","ror":"https://ror.org/03nevd013","country_code":"IN","type":"education","lineage":["https://openalex.org/I196652580"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Riyadh M. Al-Tam","raw_affiliation_strings":["School of Computational Sciences, Swami Ramanand Teerth Marathwada University, Nanded, 431606, Maharashtra, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computational Sciences, Swami Ramanand Teerth Marathwada University, Nanded, 431606, Maharashtra, India","institution_ids":["https://openalex.org/I196652580"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5003611574","https://openalex.org/A5006957394"],"corresponding_institution_ids":["https://openalex.org/I177657909","https://openalex.org/I4387153399"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.7828,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64056282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"1","first_page":"12871","last_page":"12871"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9984999895095825,"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":0.9984999895095825,"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":0.00039999998989515007,"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/T10573","display_name":"Power Quality and Harmonics","score":0.0003000000142492354,"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/distributed-photovoltaics","display_name":"distributed photovoltaic generation","score":0.8700000047683716},{"id":"https://openalex.org/keywords/optimal-placement-and-sizing","display_name":"optimal placement and sizing","score":0.6639999747276306},{"id":"https://openalex.org/keywords/distribution-networks","display_name":"distribution networks","score":0.7609999775886536},{"id":"https://openalex.org/keywords/overcurrent-protection","display_name":"overcurrent protection","score":0.7450000047683716},{"id":"https://openalex.org/keywords/relay-coordination","display_name":"relay coordination","score":0.9340000152587891},{"id":"https://openalex.org/keywords/coordination-time-interval","display_name":"coordination time interval","score":0.703000009059906},{"id":"https://openalex.org/keywords/active-power-loss-minimization","display_name":"active power loss minimization","score":0.8230000138282776},{"id":"https://openalex.org/keywords/voltage-deviation","display_name":"voltage deviation","score":0.9900000095367432},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"multi-objective optimization","score":0.8999999761581421},{"id":"https://openalex.org/keywords/ieee-33-bus-system","display_name":"IEEE 33-bus system","score":0.8299999833106995},{"id":"https://openalex.org/keywords/ieee-69-bus-system","display_name":"IEEE 69-bus system","score":1.0}],"concepts":[{"id":"https://openalex.org/C47949032","wikidata":"https://www.wikidata.org/wiki/Q663542","display_name":"Overcurrent","level":3,"score":0.8306723833084106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6671199202537537},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5112299919128418},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4618818461894989},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.19675776362419128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15672096610069275},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.13170605897903442},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11356967687606812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1038/s41598-025-97606-y","doi":"https://doi.org/10.1038/s41598-025-97606-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-97606-y","pdf_url":"https://www.nature.com/articles/s41598-025-97606-y.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},{"id":"pmid:40234647","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40234647","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific reports","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12000557","doi":null,"is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12000557/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sci Rep","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:abca17ad3619463e8c512020f75a9e69","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/abca17ad3619463e8c512020f75a9e69","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,"listed_in":[],"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":"Scientific Reports, Vol 15, Iss 1, Pp 1-23 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1038/s41598-025-97606-y","doi":"https://doi.org/10.1038/s41598-025-97606-y","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-97606-y","pdf_url":"https://www.nature.com/articles/s41598-025-97606-y.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":1.0},{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9853000044822693}],"study_designs":[],"awards":[{"id":"https://openalex.org/G2361963689","display_name":null,"funder_award_id":"RSPD2025R1006","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409467019.pdf","grobid_xml":"https://content.openalex.org/works/W4409467019.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W35082804","https://openalex.org/W2266179156","https://openalex.org/W2784212302","https://openalex.org/W2790844918","https://openalex.org/W2802986559","https://openalex.org/W2810914890","https://openalex.org/W2890813689","https://openalex.org/W2979500989","https://openalex.org/W2995449207","https://openalex.org/W2996595443","https://openalex.org/W3013111233","https://openalex.org/W3036748272","https://openalex.org/W3048219525","https://openalex.org/W3085790140","https://openalex.org/W3110023021","https://openalex.org/W3173295188","https://openalex.org/W3173404986","https://openalex.org/W3177385021","https://openalex.org/W3197824526","https://openalex.org/W3200437145","https://openalex.org/W3200484726","https://openalex.org/W3208604434","https://openalex.org/W4206889485","https://openalex.org/W4225918118","https://openalex.org/W4283276102","https://openalex.org/W4311244865","https://openalex.org/W4311903929","https://openalex.org/W4313654720","https://openalex.org/W4317212270","https://openalex.org/W4319319633","https://openalex.org/W4323863593","https://openalex.org/W4372354628","https://openalex.org/W4377041535","https://openalex.org/W4383104260","https://openalex.org/W4385611957","https://openalex.org/W4386048072","https://openalex.org/W4389636822","https://openalex.org/W4390172125","https://openalex.org/W4391611430","https://openalex.org/W4391855164","https://openalex.org/W4392749281","https://openalex.org/W4394583688","https://openalex.org/W4394789382"],"related_works":["https://openalex.org/W4394583688","https://openalex.org/W7220570487","https://openalex.org/W4285231860","https://openalex.org/W4416771284","https://openalex.org/W7124440853","https://openalex.org/W7134929950","https://openalex.org/W4386048072","https://openalex.org/W3200484726","https://openalex.org/W4405899836","https://openalex.org/W3186644057"],"abstract_inverted_index":{"The":[0,100,119,168],"never-ending":[1],"issue":[2,64],"of":[3,45,74,136,217,221],"inadequate":[4],"energy":[5],"availability":[6],"is":[7],"constantly":[8],"on":[9],"the":[10,43,66,87,133,154,191,206,215,218],"outermost":[11],"layer.":[12],"Consequently,":[13],"an":[14],"ongoing":[15],"effort":[16],"has":[17,80],"been":[18,81,128],"made":[19],"to":[20,50,84,106,130],"improve":[21,153],"electric":[22],"power":[23,26,138,224],"plants":[24],"and":[25,33,58,89,96,117,161,199,209],"system":[27,225],"configurations.":[28],"Photovoltaic":[29],"Distributed":[30,37],"Generators":[31],"(PVDG)":[32],"compensators":[34],"such":[35,188,223],"as":[36,150,152,177,179,189],"Static":[38],"Var":[39],"Compensator":[40],"(DSVC)":[41],"are":[42,60],"center":[44],"these":[46,54],"recent":[47],"advances.":[48],"Due":[49],"its":[51,112,173],"high":[52],"complexity,":[53],"devices\u2019":[55],"optimum":[56],"locating":[57],"dimensions":[59],"a":[61],"relatively":[62],"new":[63],"in":[65,92,114,166],"Electrical":[67],"Distribution":[68],"Grid":[69],"(EDG).":[70],"A":[71],"modified":[72],"version":[73],"Newton":[75],"Raphson":[76],"Based":[77],"Optimizer":[78],"(mNRBO)":[79],"carried":[82],"out":[83],"optimally":[85],"allocate":[86],"PVDG":[88],"DSVC":[90],"devices":[91],"tested":[93],"IEEE":[94,207],"33":[95,208],"69":[97,210],"bus":[98,211],"EDG.":[99,167],"mNRBO":[101,170,219],"algorithm":[102,171,220],"integrates":[103],"four":[104],"parameters":[105],"enhance":[107],"NRBO\u2019s":[108],"performance":[109],"by":[110],"addressing":[111],"limitations":[113],"balancing":[115],"exploration":[116],"exploitation.":[118],"article":[120],"suggested":[121],"novel":[122],"Multi-Objective":[123],"Functions":[124],"(MOF),":[125],"which":[126],"have":[127],"considered":[129],"optimize":[131],"concurrently":[132],"overall":[134],"amount":[135],"active":[137],"loss":[139],"(APL),":[140],"voltage":[141],"deviation":[142],"(VD),":[143],"relays":[144,163],"operation":[145],"time":[146,156],"(TR":[147],"ELAY":[148],"),":[149],"well":[151],"coordination":[155],"interval":[157],"(CTI)":[158],"between":[159],"primaries":[160],"backup":[162],"set":[164],"up":[165],"proposed":[169],"surpasses":[172],"basic":[174],"NRBO":[175],"version,":[176],"long":[178],"another":[180],"alternative":[181],"algorithm,":[182],"while":[183],"providing":[184],"very":[185],"good":[186],"results,":[187],"minimizing":[190],"APL":[192],"from":[193],"210.98":[194],"kW":[195,198,201,204],"until":[196,202],"26.482":[197],"224.948":[200],"18.763":[203],"for":[205],"respectively.":[212],"Which":[213],"proves":[214],"capability":[216],"solving":[222],"challenges.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-04-16T00:00:00"}