{"id":"https://openalex.org/W2963585800","doi":"https://doi.org/10.1109/tcsi.2019.2924169","title":"Enhancing Transient Stability of DC Microgrid by Enlarging the Region of Attraction Through Nonlinear Polynomial Droop Control","display_name":"Enhancing Transient Stability of DC Microgrid by Enlarging the Region of Attraction Through Nonlinear Polynomial Droop Control","publication_year":2019,"publication_date":"2019-07-19","ids":{"openalex":"https://openalex.org/W2963585800","doi":"https://doi.org/10.1109/tcsi.2019.2924169","mag":"2963585800"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2019.2924169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcsi.2019.2924169","pdf_url":"https://ieeexplore.ieee.org/ielx7/8919/8883027/08767007.pdf","source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/8919/8883027/08767007.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054896675","display_name":"Bernardo Severino","orcid":"https://orcid.org/0000-0002-4060-3135"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernardo Severino","raw_affiliation_strings":["Department of Sustainable Electric Networks and Sources of Energy, Technische Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4060-3135","affiliations":[{"raw_affiliation_string":"Department of Sustainable Electric Networks and Sources of Energy, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063738226","display_name":"Kai Strunz","orcid":"https://orcid.org/0000-0002-2043-4549"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kai Strunz","raw_affiliation_strings":["Department of Sustainable Electric Networks and Sources of Energy, Technische Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2043-4549","affiliations":[{"raw_affiliation_string":"Department of Sustainable Electric Networks and Sources of Energy, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8664,"has_fulltext":true,"cited_by_count":44,"citation_normalized_percentile":{"value":0.91031973,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"11","first_page":"4388","last_page":"4401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9944999814033508,"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":0.9923999905586243,"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/voltage-droop","display_name":"Voltage droop","score":0.8919751048088074},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8443580865859985},{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.7800454497337341},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6878443956375122},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6548800468444824},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.548495888710022},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.49452516436576843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4941718876361847},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4389876425266266},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3794019818305969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2918909192085266},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10253280401229858},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.09111139178276062},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.05828377604484558},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05600365996360779}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8919751048088074},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8443580865859985},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.7800454497337341},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6878443956375122},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6548800468444824},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.548495888710022},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.49452516436576843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4941718876361847},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4389876425266266},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3794019818305969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2918909192085266},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10253280401229858},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.09111139178276062},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.05828377604484558},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05600365996360779},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2019.2924169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcsi.2019.2924169","pdf_url":"https://ieeexplore.ieee.org/ielx7/8919/8883027/08767007.pdf","source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/tcsi.2019.2924169","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcsi.2019.2924169","pdf_url":"https://ieeexplore.ieee.org/ielx7/8919/8883027/08767007.pdf","source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963585800.pdf","grobid_xml":"https://content.openalex.org/works/W2963585800.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1578978182","https://openalex.org/W1892166179","https://openalex.org/W1966873024","https://openalex.org/W1967184028","https://openalex.org/W1969117668","https://openalex.org/W1986000819","https://openalex.org/W2014712964","https://openalex.org/W2016777822","https://openalex.org/W2040453765","https://openalex.org/W2098699083","https://openalex.org/W2116846721","https://openalex.org/W2119405005","https://openalex.org/W2146586176","https://openalex.org/W2147246923","https://openalex.org/W2147448577","https://openalex.org/W2148156895","https://openalex.org/W2232335510","https://openalex.org/W2288520444","https://openalex.org/W2312849699","https://openalex.org/W2365144815","https://openalex.org/W2428788477","https://openalex.org/W2485560312","https://openalex.org/W2491336180","https://openalex.org/W2493494838","https://openalex.org/W2514954511","https://openalex.org/W2525814856","https://openalex.org/W2603219748","https://openalex.org/W2621201915","https://openalex.org/W2731732681","https://openalex.org/W2737875000","https://openalex.org/W2752258319","https://openalex.org/W2964239200","https://openalex.org/W3105871883","https://openalex.org/W3210839039","https://openalex.org/W6735733003"],"related_works":["https://openalex.org/W2523432015","https://openalex.org/W1574359403","https://openalex.org/W2349700491","https://openalex.org/W3132792237","https://openalex.org/W3132497606","https://openalex.org/W4210526872","https://openalex.org/W2168694011","https://openalex.org/W2902030441","https://openalex.org/W2996701762","https://openalex.org/W2949281083"],"abstract_inverted_index":{"A":[0],"methodology":[1],"for":[2],"enlarging":[3],"the":[4,25,62,65,68,79,82,85,88,108,120,125,135],"region":[5],"of":[6,9,28,35,45,67,84],"attraction":[7],"(ROA)":[8],"a":[10,29,43,55,112],"DC":[11],"microgrid":[12],"with":[13,92,111],"constant":[14],"power":[15],"loads":[16],"(CPLs)":[17],"is":[18,22,39,96,104],"proposed.":[19],"The":[20,33,49],"enlargement":[21],"achieved":[23],"through":[24],"optimal":[26],"design":[27,34],"polynomial":[30,69,122],"droop":[31,70,101,114],"controller.":[32],"this":[36,99],"nonlinear":[37,100],"controller":[38,71,123],"done":[40],"by":[41],"solving":[42],"sum":[44],"squares":[46],"(SOS)":[47],"program.":[48],"proposed":[50,121],"SOS":[51,80],"program":[52],"allows":[53],"finding":[54],"Lyapunov":[56],"function":[57],"that":[58,76,119],"serves":[59],"to":[60,74,106],"estimate":[61,83],"ROA.":[63],"Therefore,":[64],"coefficients":[66],"are":[72],"optimized":[73],"maximize":[75],"estimate.":[77],"Using":[78],"approach,":[81],"ROA":[86,109],"exceeds":[87],"performance":[89],"previously":[90],"attained":[91],"alternative":[93],"methods.":[94],"It":[95],"illustrated":[97],"how":[98],"control":[102],"approach":[103],"able":[105],"enlarge":[107],"compared":[110],"linear":[113],"technique.":[115],"Numerical":[116],"simulations":[117],"confirm":[118],"makes":[124],"system":[126],"more":[127],"robust":[128],"against":[129],"large":[130],"disturbances":[131],"and":[132],"so":[133],"enhances":[134],"transient":[136],"stability.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}