{"id":"https://openalex.org/W3091063543","doi":"https://doi.org/10.1109/tac.2022.3157076","title":"DC Power Grids With Constant-Power Loads\u2014Part I: A Full Characterization of Power Flow Feasibility, Long-Term Voltage Stability, and Their Correspondence","display_name":"DC Power Grids With Constant-Power Loads\u2014Part I: A Full Characterization of Power Flow Feasibility, Long-Term Voltage Stability, and Their Correspondence","publication_year":2022,"publication_date":"2022-03-07","ids":{"openalex":"https://openalex.org/W3091063543","doi":"https://doi.org/10.1109/tac.2022.3157076","mag":"3091063543"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3157076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3157076","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/998bf593-a4dd-44de-887c-46619166d270","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053884001","display_name":"Mark Jeeninga","orcid":"https://orcid.org/0000-0002-3807-4967"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mark Jeeninga","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3807-4967","affiliations":[{"raw_affiliation_string":"Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073108827","display_name":"Claudio De Persis","orcid":"https://orcid.org/0000-0001-8574-1139"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Claudio De Persis","raw_affiliation_strings":["University of Groningen, Groningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-8574-1139","affiliations":[{"raw_affiliation_string":"University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arjan van der Schaft","raw_affiliation_strings":["University of Groningen, Groningen, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2383-9234","affiliations":[{"raw_affiliation_string":"University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9718,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.7263569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"68","issue":"1","first_page":"2","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9980000257492065,"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":0.9980000257492065,"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":0.9977999925613403,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.993399977684021,"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/operating-point","display_name":"Operating point","score":0.6215550303459167},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5936951041221619},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5671559572219849},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5575733780860901},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5016658306121826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5003268718719482},{"id":"https://openalex.org/keywords/power-flow-study","display_name":"Power-flow study","score":0.4837687015533447},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45724037289619446},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.4350839853286743},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41717109084129333},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37127310037612915},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3493441343307495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33768048882484436},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15739595890045166},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14459803700447083},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1088314950466156},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08555591106414795}],"concepts":[{"id":"https://openalex.org/C22762622","wikidata":"https://www.wikidata.org/wiki/Q628904","display_name":"Operating point","level":2,"score":0.6215550303459167},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5936951041221619},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5671559572219849},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5575733780860901},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5016658306121826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5003268718719482},{"id":"https://openalex.org/C181361822","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power-flow study","level":4,"score":0.4837687015533447},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45724037289619446},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.4350839853286743},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41717109084129333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37127310037612915},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3493441343307495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33768048882484436},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15739595890045166},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14459803700447083},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1088314950466156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08555591106414795},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2022.3157076","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3157076","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire/998bf593-a4dd-44de-887c-46619166d270","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/998bf593-a4dd-44de-887c-46619166d270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jeeninga, M, De Persis, C & Van der Schaft, A 2023, 'DC power grids with constant-power loadsPart I : A full characterization of power flow feasibility, long-term voltage stability and their correspondence', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 2-17. https://doi.org/10.1109/TAC.2022.3157076","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/998bf593-a4dd-44de-887c-46619166d270","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/998bf593-a4dd-44de-887c-46619166d270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Jeeninga, M, De Persis, C & Van der Schaft, A 2023, 'DC power grids with constant-power loadsPart I : A full characterization of power flow feasibility, long-term voltage stability and their correspondence', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 2-17. https://doi.org/10.1109/TAC.2022.3157076","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/998bf593-a4dd-44de-887c-46619166d270","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/998bf593-a4dd-44de-887c-46619166d270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jeeninga, M, De Persis, C & Van der Schaft, A 2023, 'DC power grids with constant-power loadsPart I : A full characterization of power flow feasibility, long-term voltage stability and their correspondence', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 2-17. https://doi.org/10.1109/TAC.2022.3157076","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1542938076","https://openalex.org/W1578978182","https://openalex.org/W1606815384","https://openalex.org/W1975153904","https://openalex.org/W1984452440","https://openalex.org/W2013511487","https://openalex.org/W2016161052","https://openalex.org/W2018026881","https://openalex.org/W2019861006","https://openalex.org/W2038856359","https://openalex.org/W2058492355","https://openalex.org/W2093184664","https://openalex.org/W2097415784","https://openalex.org/W2212590187","https://openalex.org/W2284066940","https://openalex.org/W2288520444","https://openalex.org/W2290543666","https://openalex.org/W2493294075","https://openalex.org/W2794878665","https://openalex.org/W2938958815","https://openalex.org/W2999652661","https://openalex.org/W3104136082","https://openalex.org/W4212821273","https://openalex.org/W4248241950","https://openalex.org/W4249667877","https://openalex.org/W6688376220"],"related_works":["https://openalex.org/W4212948611","https://openalex.org/W2377431652","https://openalex.org/W2124130585","https://openalex.org/W4220774132","https://openalex.org/W2744258313","https://openalex.org/W2900490168","https://openalex.org/W2737933397","https://openalex.org/W2808640487","https://openalex.org/W2143249547","https://openalex.org/W2349231279"],"abstract_inverted_index":{"In":[0,27,121],"this":[1,31,145],"two-part":[2],"article,":[3,32],"we":[4,33,123],"develop":[5],"a":[6,35,55,80,113,125,138],"unifying":[7],"framework":[8],"for":[9,20,92,141],"the":[10,13,16,39,50,61,88,94,129,142],"analysis":[11],"of":[12,15,30,41,45,53,115,128,131,144],"feasibility":[14,44],"power":[17,22,42,47,62,90,95,134],"flow":[18,43,63,96],"equations":[19,97],"dc":[21],"grids":[23],"with":[24],"constant-power":[25],"loads.":[26],"Part":[28],"I":[29],"present":[34],"detailed":[36],"introduction":[37],"to":[38],"problem":[40,52],"such":[46,84],"grids,":[48],"and":[49,67,75,87,112,136],"associated":[51],"selecting":[54],"desirable":[56],"operating":[57,73,85,101,117],"point":[58],"which":[59,93],"satisfies":[60],"equations.":[64],"We":[65],"introduce":[66],"identify":[68],"all":[69,132],"long-term":[70],"voltage":[71],"semistable":[72],"points,":[74],"show":[76],"that":[77],"there":[78],"exists":[79],"one-to-one":[81],"correspondence":[82],"between":[83],"points":[86,102,118],"constant":[89],"demands":[91],"are":[98],"feasible.":[99],"Such":[100],"can":[103],"be":[104],"found":[105],"by":[106],"solving":[107],"an":[108],"initial":[109],"value":[110],"problem,":[111],"parametrization":[114],"these":[116],"is":[119],"obtained.":[120],"addition,":[122],"give":[124,137],"full":[126],"characterization":[127],"set":[130],"feasible":[133],"demands,":[135],"novel":[139],"proof":[140],"convexity":[143],"set.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
