{"id":"https://openalex.org/W3098980633","doi":"https://doi.org/10.1109/tac.2022.3176808","title":"DC Power Grids With Constant-Power Loads\u2014Part II: Nonnegative Power Demands, Conditions for Feasibility, and High-Voltage Solutions","display_name":"DC Power Grids With Constant-Power Loads\u2014Part II: Nonnegative Power Demands, Conditions for Feasibility, and High-Voltage Solutions","publication_year":2022,"publication_date":"2022-05-23","ids":{"openalex":"https://openalex.org/W3098980633","doi":"https://doi.org/10.1109/tac.2022.3176808","mag":"3098980633"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3176808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3176808","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/files/574739831/DC_Power_Grids_With_Constant_Power_LoadsPart_II_Nonnegative_Power_Demands_Conditions_for_Feasibility_and_High_Voltage_Solutions_1_.pdf","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":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mark Jeeninga","raw_affiliation_strings":["Politecnico di Torino, Torino, Italy"],"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"],"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"],"affiliations":[{"raw_affiliation_string":"University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053884001"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":1.29,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.78369952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"68","issue":"1","first_page":"18","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9904999732971191,"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":0.9904999732971191,"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":0.9872999787330627,"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"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.980400025844574,"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/control-theory","display_name":"Control theory (sociology)","score":0.5771797895431519},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.5573011636734009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.556167483329773},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5241202116012573},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4577118754386902},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43994051218032837},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.4283333420753479},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.42068976163864136},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.419727623462677},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37592393159866333},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33624252676963806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33273035287857056},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12606272101402283},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12329375743865967},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09022104740142822},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07341989874839783}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5771797895431519},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5573011636734009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.556167483329773},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5241202116012573},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4577118754386902},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43994051218032837},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4283333420753479},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.42068976163864136},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.419727623462677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37592393159866333},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33624252676963806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33273035287857056},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12606272101402283},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12329375743865967},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09022104740142822},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07341989874839783},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2022.3176808","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3176808","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/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","pdf_url":"https://research.rug.nl/files/574739831/DC_Power_Grids_With_Constant_Power_LoadsPart_II_Nonnegative_Power_Demands_Conditions_for_Feasibility_and_High_Voltage_Solutions_1_.pdf","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 loads &#x2014;Part II : Nonnegative power demands, conditions for feasibility, and high-voltage solutions', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 18-30. https://doi.org/10.1109/TAC.2022.3176808","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:publications/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","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 loads &#x2014;Part II : Nonnegative power demands, conditions for feasibility, and high-voltage solutions', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 18-30. https://doi.org/10.1109/TAC.2022.3176808","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/f7ec7f95-932a-4e60-bbe1-f02ab37aa652","pdf_url":"https://research.rug.nl/files/574739831/DC_Power_Grids_With_Constant_Power_LoadsPart_II_Nonnegative_Power_Demands_Conditions_for_Feasibility_and_High_Voltage_Solutions_1_.pdf","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 loads &#x2014;Part II : Nonnegative power demands, conditions for feasibility, and high-voltage solutions', IEEE Transactions on Automatic Control, vol. 68, no. 1, pp. 18-30. https://doi.org/10.1109/TAC.2022.3176808","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3098980633.pdf","grobid_xml":"https://content.openalex.org/works/W3098980633.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W589958491","https://openalex.org/W1542938076","https://openalex.org/W1606815384","https://openalex.org/W1975153904","https://openalex.org/W1984452440","https://openalex.org/W1987448935","https://openalex.org/W1999562671","https://openalex.org/W2044023312","https://openalex.org/W2058492355","https://openalex.org/W2097415784","https://openalex.org/W2115832833","https://openalex.org/W2212590187","https://openalex.org/W2284066940","https://openalex.org/W2288520444","https://openalex.org/W2938958815","https://openalex.org/W2962910558","https://openalex.org/W2999652661","https://openalex.org/W3148585635","https://openalex.org/W4293163450","https://openalex.org/W6688376220"],"related_works":["https://openalex.org/W2153421756","https://openalex.org/W2054489697","https://openalex.org/W2077818434","https://openalex.org/W2361081803","https://openalex.org/W2036241269","https://openalex.org/W2109057766","https://openalex.org/W4250375811","https://openalex.org/W2078644396","https://openalex.org/W2026930022","https://openalex.org/W2125213988"],"abstract_inverted_index":{"In":[0,81],"this":[1,30],"two-part":[2],"article,":[3,31],"we":[4,83,114,133],"develop":[5],"a":[6,43,56,66,90,145,152,176],"unifying":[7],"framework":[8],"for":[9,20,52,95,104,125],"the":[10,13,16,36,53,70,96,130,136,166,179,182],"analysis":[11],"of":[12,15,29,35,55,58,74,98,148,158,178,181,184],"feasibility":[14,54,97,128],"power":[17,22,59,100,110,126,149,186],"flow":[18,111,127],"equations":[19],"dc":[21],"grids":[23],"with":[24],"constant-power":[25],"loads.":[26],"Part":[27,39,169],"II":[28],"explores":[32],"further":[33],"implications":[34],"results":[37],"in":[38,69,129,168],"I.":[40],"We":[41],"present":[42],"necessary":[44,67,91],"and":[45,92],"sufficient":[46,93,118,123],"linear":[47],"matrix":[48],"inequality":[49],"(LMI)":[50],"condition":[51,68,94],"vector":[57,147],"demands":[60,150],"(under":[61],"small":[62],"perturbation),":[63],"which":[64,102,120,162],"extends":[65],"literature.":[71,131],"The":[72],"alternatives":[73],"these":[75,85],"LMI":[76,86],"conditions":[77,87,124],"are":[78],"also":[79],"included.":[80],"addition,":[82],"refine":[84],"to":[88,108,144,165],"obtain":[89],"nonnegative":[99],"demands,":[101],"allows":[103],"an":[105],"alternative":[106],"approach":[107],"determine":[109],"feasibility.":[112],"Moreover,":[113],"prove":[115,134],"two":[116],"novel":[117],"conditions,":[119],"generalize":[121],"known":[122],"Finally,":[132],"that":[135],"unique":[137],"long-term":[138],"voltage":[139],"semistable":[140],"operating":[141,160],"point":[142],"associated":[143],"feasible":[146,185],"is":[151,163,171],"strict":[153],"high-voltage":[154],"solution.":[155],"A":[156],"parametrization":[157,167,177],"such":[159],"points,":[161],"dual":[164],"I,":[170],"obtained,":[172],"as":[173,175],"well":[174],"boundary":[180],"set":[183],"demands.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5}],"updated_date":"2026-03-17T17:19:04.345684","created_date":"2020-11-23T00:00:00"}
