{"id":"https://openalex.org/W4401326690","doi":"https://doi.org/10.1109/access.2024.3438266","title":"A Framework for Qualitative Analysis of Voltage Stability Indices (VSIs)","display_name":"A Framework for Qualitative Analysis of Voltage Stability Indices (VSIs)","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4401326690","doi":"https://doi.org/10.1109/access.2024.3438266"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3438266","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3438266","pdf_url":null,"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":null,"license_id":null,"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://doi.org/10.1109/access.2024.3438266","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030919560","display_name":"Lokesh Kumar Yadav","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lokesh Kumar Yadav","raw_affiliation_strings":["Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0003-1661-7702","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055086765","display_name":"M. K. Verma","orcid":"https://orcid.org/0000-0001-8323-6585"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mitresh Kumar Verma","raw_affiliation_strings":["Electrical Engineering Department, IIT (BHU) Varanasi, Varanasi, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0001-8323-6585","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, IIT (BHU) Varanasi, Varanasi, Uttar Pradesh, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037036240","display_name":"Puneet Joshi","orcid":"https://orcid.org/0000-0003-0995-5332"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Puneet Joshi","raw_affiliation_strings":["Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101949185","display_name":"Sanjay Agrawal","orcid":"https://orcid.org/0000-0002-5079-1774"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sanjay Agrawal","raw_affiliation_strings":["Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-5079-1774","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Rajkiya Engineering College Ambedkar Nagar, Akbarpur, Uttar Pradesh, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091645870","display_name":"Majed A. Alotaibi","orcid":"https://orcid.org/0000-0001-6105-7471"},"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":"Majed A. Alotaibi","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-6105-7471","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026567808","display_name":"Hasmat Malik","orcid":"https://orcid.org/0000-0002-0085-9734"},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Hasmat Malik","raw_affiliation_strings":["Department of Electrical Power Engineering, Faculty of Electrical Engineering, Universiti Teknologi Malaysia (UTM), Johor Bahru, Malaysia","Faculty of Engineering, Division of Electrical Power Engineering, School of Electrical Engineering, University Teknologi Malaysia (UTM), Johor Bahru, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-0085-9734","affiliations":[{"raw_affiliation_string":"Department of Electrical Power Engineering, Faculty of Electrical Engineering, Universiti Teknologi Malaysia (UTM), Johor Bahru, Malaysia","institution_ids":["https://openalex.org/I4576418"]},{"raw_affiliation_string":"Faculty of Engineering, Division of Electrical Power Engineering, School of Electrical Engineering, University Teknologi Malaysia (UTM), Johor Bahru, Malaysia","institution_ids":["https://openalex.org/I4576418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024338342","display_name":"Fausto Pedro Garc\u0131\u0301a M\u00e1rquez","orcid":"https://orcid.org/0000-0002-9245-440X"},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Fausto Pedro Garc\u00eda M\u00e1rquez","raw_affiliation_strings":["Ingenium Research Group, Universidad de Castilla-La Mancha, Ciudad Real, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9245-440X","affiliations":[{"raw_affiliation_string":"Ingenium Research Group, Universidad de Castilla-La Mancha, Ciudad Real, Spain","institution_ids":["https://openalex.org/I79189158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086558409","display_name":"Mohammad Asef Hossaini","orcid":"https://orcid.org/0009-0002-4417-3918"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohammad Asef Hossaini","raw_affiliation_strings":["Department of Physics, Badghis University, Badghis, Afghanistan"],"raw_orcid":"https://orcid.org/0009-0002-4417-3918","affiliations":[{"raw_affiliation_string":"Department of Physics, Badghis University, Badghis, Afghanistan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5030919560"],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.7556,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90818514,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"12","issue":null,"first_page":"124231","last_page":"124259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":1.0,"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":1.0,"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/T10454","display_name":"Optimal Power Flow Distribution","score":1.0,"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7468500137329102},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.7326444983482361},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5506517291069031},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.4843665063381195},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4793168306350708},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47488921880722046},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.46454310417175293},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.447609543800354},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.44464272260665894},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4327058792114258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3420395255088806},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.218656986951828},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.21034449338912964},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18924030661582947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.145075261592865},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07142549753189087},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06973764300346375}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7468500137329102},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.7326444983482361},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5506517291069031},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.4843665063381195},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4793168306350708},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47488921880722046},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.46454310417175293},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.447609543800354},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.44464272260665894},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4327058792114258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3420395255088806},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.218656986951828},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.21034449338912964},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18924030661582947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.145075261592865},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07142549753189087},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06973764300346375},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3438266","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3438266","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3f346be25143454ab719d897dcda20a7","is_oa":true,"landing_page_url":"https://doaj.org/article/3f346be25143454ab719d897dcda20a7","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 12, Pp 124231-124259 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3438266","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3438266","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6499999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":123,"referenced_works":["https://openalex.org/W1482578125","https://openalex.org/W1484104892","https://openalex.org/W1500501669","https://openalex.org/W1578978182","https://openalex.org/W1629748690","https://openalex.org/W1630154574","https://openalex.org/W1678741983","https://openalex.org/W1965968261","https://openalex.org/W1969089411","https://openalex.org/W1969957333","https://openalex.org/W1977330805","https://openalex.org/W1981090027","https://openalex.org/W1981670580","https://openalex.org/W1987912792","https://openalex.org/W1989252882","https://openalex.org/W1990130069","https://openalex.org/W1993968650","https://openalex.org/W2003216162","https://openalex.org/W2011921801","https://openalex.org/W2017140400","https://openalex.org/W2019266173","https://openalex.org/W2022433451","https://openalex.org/W2024621150","https://openalex.org/W2027591277","https://openalex.org/W2030163065","https://openalex.org/W2037879554","https://openalex.org/W2049675601","https://openalex.org/W2053429254","https://openalex.org/W2054058173","https://openalex.org/W2061529827","https://openalex.org/W2068890265","https://openalex.org/W2075891702","https://openalex.org/W2080545234","https://openalex.org/W2085376495","https://openalex.org/W2086451043","https://openalex.org/W2088647395","https://openalex.org/W2098120074","https://openalex.org/W2099541301","https://openalex.org/W2105379608","https://openalex.org/W2106935068","https://openalex.org/W2107901017","https://openalex.org/W2109680636","https://openalex.org/W2110326975","https://openalex.org/W2115748392","https://openalex.org/W2118381857","https://openalex.org/W2119966182","https://openalex.org/W2120932106","https://openalex.org/W2128030923","https://openalex.org/W2128416740","https://openalex.org/W2129241750","https://openalex.org/W2131893574","https://openalex.org/W2136182699","https://openalex.org/W2140965658","https://openalex.org/W2141414094","https://openalex.org/W2142288982","https://openalex.org/W2143514295","https://openalex.org/W2143636405","https://openalex.org/W2148164391","https://openalex.org/W2148213050","https://openalex.org/W2149131720","https://openalex.org/W2151872780","https://openalex.org/W2152369489","https://openalex.org/W2163911647","https://openalex.org/W2165807441","https://openalex.org/W2166461773","https://openalex.org/W2169087183","https://openalex.org/W2169146929","https://openalex.org/W2228805113","https://openalex.org/W2239955896","https://openalex.org/W2284546883","https://openalex.org/W2342572826","https://openalex.org/W2400278024","https://openalex.org/W2473718819","https://openalex.org/W2479046343","https://openalex.org/W2491222776","https://openalex.org/W2512033670","https://openalex.org/W2545075722","https://openalex.org/W2553638530","https://openalex.org/W2563169611","https://openalex.org/W2588524882","https://openalex.org/W2590412259","https://openalex.org/W2622952038","https://openalex.org/W2626569163","https://openalex.org/W2764407010","https://openalex.org/W2781594995","https://openalex.org/W2787139167","https://openalex.org/W2787153514","https://openalex.org/W2793691151","https://openalex.org/W2890930846","https://openalex.org/W2895594382","https://openalex.org/W2896795036","https://openalex.org/W2904178308","https://openalex.org/W2911520818","https://openalex.org/W2913586468","https://openalex.org/W2952944281","https://openalex.org/W2955715126","https://openalex.org/W2970758908","https://openalex.org/W2972064926","https://openalex.org/W2983734872","https://openalex.org/W3003528331","https://openalex.org/W3004421819","https://openalex.org/W3005161314","https://openalex.org/W3007207597","https://openalex.org/W3007472460","https://openalex.org/W3010527476","https://openalex.org/W3031889349","https://openalex.org/W3036697987","https://openalex.org/W3088729466","https://openalex.org/W3110874572","https://openalex.org/W3112830586","https://openalex.org/W3118746340","https://openalex.org/W3146298853","https://openalex.org/W4214727197","https://openalex.org/W4247456041","https://openalex.org/W4247823384","https://openalex.org/W4365130483","https://openalex.org/W4396612973","https://openalex.org/W6609818936","https://openalex.org/W6680321863","https://openalex.org/W6684705905","https://openalex.org/W6733832476","https://openalex.org/W6739513162","https://openalex.org/W6754695791"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W3136087161","https://openalex.org/W1486373823","https://openalex.org/W2119578520","https://openalex.org/W2053762185","https://openalex.org/W2913611334","https://openalex.org/W1984283682","https://openalex.org/W1965257389","https://openalex.org/W2018238589","https://openalex.org/W3097066710"],"abstract_inverted_index":{"Voltage":[0,19,189],"stability":[1,75],"assessment":[2],"(VSA)":[3],"is":[4,146],"invariably":[5],"an":[6],"essential":[7],"step":[8],"in":[9,58,63,126,158,180],"the":[10,59,114,118],"satisfactory":[11],"operation":[12],"of":[13,27,117,131,144],"power":[14,34,128,133,194],"system.":[15],"For":[16],"this,":[17],"several":[18],"Stability":[20,190],"Indices":[21],"(VSIs)":[22],"based":[23,89],"on":[24,90],"(i)":[25],"Existence":[26],"solution":[28],"for":[29,100,161],"voltage":[30,69,74,81],"equations,":[31],"(ii)":[32],"Maximum":[33],"transfer":[35],"(MPT)":[36],"through":[37],"a":[38,139,149,162,171],"line,":[39],"(iii)":[40],"MPT":[41],"theorem/maximum":[42],"loadability":[43],"limit,":[44],"(iv)":[45],"P-V":[46],"curve,":[47],"(v)":[48],"Energy":[49],"function":[50],"and":[51,67,77,95,122,135,177,187,193],"(vi)":[52],"Jacobian":[53],"matrix":[54],"can":[55],"be":[56],"found":[57],"literature.":[60],"VSIs":[61,88,145,160],"assist":[62],"identifying":[64],"weak":[65],"lines":[66],"buses,":[68],"collapse":[70],"proximity,":[71],"maximum":[72],"loadability,":[73],"margin,":[76],"prompting":[78],"countermeasures":[79],"against":[80],"instability.":[82],"This":[83,165],"article":[84,166],"examines":[85],"78":[86],"different":[87],"their":[91],"concepts,":[92],"assumptions,":[93],"thresholds,":[94],"formulae.":[96],"Additionally,":[97],"mathematical":[98],"proofs":[99],"29":[101],"indices":[102,121,125],"have":[103],"been":[104,153],"elaborated":[105],"upon":[106],"so":[107],"that":[108],"researchers":[109,157,176],"may":[110],"familiarize":[111],"themselves":[112],"with":[113],"underlying":[115],"concepts":[116],"other":[119],"existing":[120],"find":[123],"newer":[124],"modern":[127],"systems":[129],"composed":[130],"intermittent":[132],"generation":[134],"dynamic":[136],"loads.":[137],"Also,":[138],"novel":[140,150],"qualitative":[141],"comparative":[142],"analysis":[143],"tabulated.":[147],"Further,":[148],"framework":[151],"has":[152],"proposed":[154],"to":[155,168,174],"aid":[156],"shortlisting":[159],"particular":[163],"application.":[164],"intends":[167],"serve":[169],"as":[170],"meaningful":[172],"reference":[173],"various":[175],"individuals":[178],"working":[179],"domains":[181],"like":[182],"Distributed":[183],"Generation":[184],"(DG)":[185],"placing":[186],"rating,":[188],"Assessment":[191],"(VSA),":[192],"system":[195],"planning.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
