{"id":"https://openalex.org/W2111462575","doi":"https://doi.org/10.1109/59.221241","title":"Point of collapse and continuation methods for large AC/DC systems","display_name":"Point of collapse and continuation methods for large AC/DC systems","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2111462575","doi":"https://doi.org/10.1109/59.221241","mag":"2111462575"},"language":"en","primary_location":{"id":"doi:10.1109/59.221241","doi":"https://doi.org/10.1109/59.221241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/59.221241","pdf_url":null,"source":{"id":"https://openalex.org/S201921491","display_name":"IEEE Transactions on Power Systems","issn_l":"0885-8950","issn":["0885-8950","1558-0679"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Power Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5023775699","display_name":"Claudio A. Ca\u00f1izares","orcid":"https://orcid.org/0000-0003-1458-2569","observed_orcids":["https://orcid.org/0000-0003-1458-2569"]},"institutions":[{"id":"https://openalex.org/I70764802","display_name":"National Polytechnic School","ror":"https://ror.org/01gb99w41","country_code":"EC","type":"education","lineage":["https://openalex.org/I70764802"]}],"countries":["EC"],"is_corresponding":false,"raw_author_name":"C.A. Canizares","raw_affiliation_strings":["Escuela Polit\u00e9cnica Nacional Quito, Quito, Ecuador"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela Polit\u00e9cnica Nacional Quito, Quito, Ecuador","institution_ids":["https://openalex.org/I70764802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048426401","display_name":"Fernando L. Alvarado","orcid":"https://orcid.org/0000-0003-0482-5467","observed_orcids":["https://orcid.org/0000-0003-0482-5467"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F.L. Alvarado","raw_affiliation_strings":["University of Wisconsin, Madison, Madison, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin, Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":12.9728,"has_fulltext":true,"cited_by_count":603,"citation_normalized_percentile":{"value":0.99415122,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"8"},"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.002899999963119626,"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":0.0003000000142492354,"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/voltage-collapse","display_name":"voltage collapse","score":0.75},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"saddle-node bifurcation","score":0.906000018119812},{"id":"https://openalex.org/keywords/continuation-method","display_name":"numerical continuation","score":0.9440000057220459},{"id":"https://openalex.org/keywords/ac-dc-power-systems","display_name":"AC/DC power systems","score":0.8889999985694885},{"id":"https://openalex.org/keywords/hvdc-transmission","display_name":"HVDC transmission","score":0.9810000061988831},{"id":"https://openalex.org/keywords/regulating-transformers","display_name":"regulating transformers","score":0.9430000185966492},{"id":"https://openalex.org/keywords/voltage-stability","display_name":"voltage stability","score":0.871999979019165},{"id":"https://openalex.org/keywords/power-flow-analysis","display_name":"power flow analysis","score":0.6620000004768372},{"id":"https://openalex.org/keywords/large-scale-power-systems","display_name":"large-scale power systems","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.7168171405792236},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.6396579742431641},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.619581401348114},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.5691596269607544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5285172462463379},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5102088451385498},{"id":"https://openalex.org/C92018576","wikidata":"https://www.wikidata.org/wiki/Q3242194","display_name":"Power transmission","level":3,"score":0.5057520866394043},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.48322781920433044},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44790080189704895},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.43513816595077515},{"id":"https://openalex.org/C54089160","wikidata":"https://www.wikidata.org/wiki/Q1803786","display_name":"Power engineering","level":4,"score":0.41113927960395813},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3650783896446228},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3370158076286316},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31641072034835815},{"id":"https://openalex.org/C64424096","wikidata":"https://www.wikidata.org/wiki/Q750454","display_name":"Power factor","level":3,"score":0.21366208791732788},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18471968173980713},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1535792052745819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12992072105407715},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/59.221241","doi":"https://doi.org/10.1109/59.221241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/59.221241","pdf_url":null,"source":{"id":"https://openalex.org/S201921491","display_name":"IEEE Transactions on Power Systems","issn_l":"0885-8950","issn":["0885-8950","1558-0679"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Power Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.3504","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.3504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://thunderbox.uwaterloo.ca/~claudio/papers/pflow.pdf","raw_type":"text"},{"id":"pmh:oai:minds.wisc.edu:1793/9088","doi":null,"is_oa":false,"landing_page_url":"http://digital.library.wisc.edu/1793/9088","pdf_url":null,"source":{"id":"https://openalex.org/S4306401622","display_name":"Minds at UW (University of Wisconsin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I135310074","host_organization_name":"University of Wisconsin\u2013Madison","host_organization_lineage":["https://openalex.org/I135310074"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8485000133514404},{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.651199996471405}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310509","display_name":"Electric Power Research Institute","ror":"https://ror.org/02dqztz06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W210261326","https://openalex.org/W1544520865","https://openalex.org/W1936068779","https://openalex.org/W1995741353","https://openalex.org/W2041138697","https://openalex.org/W2073017735","https://openalex.org/W2073476719","https://openalex.org/W2089876099","https://openalex.org/W2093923894","https://openalex.org/W2094192524","https://openalex.org/W2104843837","https://openalex.org/W2106126426","https://openalex.org/W2106935068","https://openalex.org/W2108576373","https://openalex.org/W2108933127","https://openalex.org/W2111624684","https://openalex.org/W2112849009","https://openalex.org/W2118908525","https://openalex.org/W2129155313","https://openalex.org/W2158569168","https://openalex.org/W2167298589","https://openalex.org/W2527337169","https://openalex.org/W2739685101","https://openalex.org/W2922993169","https://openalex.org/W3144073282","https://openalex.org/W4234679792","https://openalex.org/W4235660554","https://openalex.org/W4248254762"],"related_works":["https://openalex.org/W2104843837","https://openalex.org/W2111624684","https://openalex.org/W1984607572","https://openalex.org/W1998343147","https://openalex.org/W2087068260","https://openalex.org/W2099199899","https://openalex.org/W2364899083","https://openalex.org/W2022185222","https://openalex.org/W2391863685","https://openalex.org/W1606075010"],"abstract_inverted_index":{"The":[0,28,84],"implementation":[1,47],"of":[2,5,15,30,38,45,48,65,86,102],"both":[3],"point":[4],"collapse":[6,17],"(PoC)":[7],"methods":[8,11,32,53],"and":[9,51,56,76,78,95,100],"continuation":[10,52],"for":[12,35],"the":[13,46,49,57,63],"computation":[14],"voltage":[16,77,103],"points":[18],"(saddle-node":[19],"bifurcations)":[20],"in":[21],"large":[22],"AC/DC":[23],"power":[24,72,80,90],"systems":[25,37],"is":[26,33,106],"described.":[27],"performance":[29],"these":[31],"compared":[34],"real":[36],"up":[39],"to":[40,62,98],"2158":[41],"buses.":[42],"Computational":[43],"details":[44],"PoC":[50,89],"are":[54,82,93],"detailed,":[55],"unique":[58],"problems":[59,105],"encountered":[60],"due":[61],"presence":[64],"high-voltage":[66],"direct-current":[67],"(HVDC)":[68],"transmission,":[69],"area":[70],"interchange":[71],"control,":[73],"regulating":[74],"transformers,":[75],"reactive":[79],"limits":[81],"discussed.":[83],"characteristics":[85],"a":[87],"robust":[88],"flow":[91],"program":[92],"presented,":[94],"its":[96],"application":[97],"detection":[99],"solution":[101],"stability":[104],"demonstrated.>":[107]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":28},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":23},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":21},{"year":2012,"cited_by_count":23}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}