{"id":"https://openalex.org/W3097970426","doi":"https://doi.org/10.1109/ever48776.2020.9243004","title":"Stability Analysis and Nonlinear Control of Phase Locked Loop of a Weak-grid Connected Voltage Source Converter","display_name":"Stability Analysis and Nonlinear Control of Phase Locked Loop of a Weak-grid Connected Voltage Source Converter","publication_year":2020,"publication_date":"2020-09-10","ids":{"openalex":"https://openalex.org/W3097970426","doi":"https://doi.org/10.1109/ever48776.2020.9243004","mag":"3097970426"},"language":"en","primary_location":{"id":"doi:10.1109/ever48776.2020.9243004","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ever48776.2020.9243004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)","raw_type":"proceedings-article"},"type":"article","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/A5047325193","display_name":"Milad Zarif Mansour","orcid":"https://orcid.org/0000-0002-8401-2695"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Milad Zarif Mansour","raw_affiliation_strings":["Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048193587","display_name":"Sajjad Hadavi","orcid":"https://orcid.org/0000-0001-5967-3830"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Sajjad Hadavi","raw_affiliation_strings":["Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014599007","display_name":"Behrooz Bahrani","orcid":"https://orcid.org/0000-0002-9482-2990"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Behrooz Bahrani","raw_affiliation_strings":["Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Faculty of Engineering, Monash University, Victoria, Australia","institution_ids":["https://openalex.org/I56590836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047325193"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":0.7356,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71645829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T14444","display_name":"Power Systems and Renewable Energy","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9731000065803528,"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":0.8102598190307617},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.684587836265564},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6706560850143433},{"id":"https://openalex.org/keywords/synchronism","display_name":"Synchronism","score":0.6658543348312378},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.6337111592292786},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.6288326382637024},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.5974313020706177},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5559407472610474},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.492532342672348},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4464930593967438},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.43507182598114014},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4173535704612732},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.414936363697052},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.29393503069877625},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.27162966132164},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.26783937215805054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25949162244796753},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23899012804031372},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.18851634860038757},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.09034594893455505},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08591046929359436}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8102598190307617},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.684587836265564},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6706560850143433},{"id":"https://openalex.org/C2779853468","wikidata":"https://www.wikidata.org/wiki/Q7662139","display_name":"Synchronism","level":3,"score":0.6658543348312378},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.6337111592292786},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.6288326382637024},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.5974313020706177},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5559407472610474},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.492532342672348},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4464930593967438},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43507182598114014},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4173535704612732},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.414936363697052},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.29393503069877625},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.27162966132164},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.26783937215805054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25949162244796753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23899012804031372},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.18851634860038757},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.09034594893455505},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08591046929359436},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ever48776.2020.9243004","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ever48776.2020.9243004","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1485732691","https://openalex.org/W1487127700","https://openalex.org/W1578760708","https://openalex.org/W1871674939","https://openalex.org/W1981829062","https://openalex.org/W2163501722","https://openalex.org/W2771346661","https://openalex.org/W2807928442","https://openalex.org/W2809004868","https://openalex.org/W2899329342","https://openalex.org/W2911604918","https://openalex.org/W2914659810","https://openalex.org/W2979307260","https://openalex.org/W6639006322","https://openalex.org/W6758287086"],"related_works":["https://openalex.org/W1983061560","https://openalex.org/W2416006047","https://openalex.org/W2383596060","https://openalex.org/W2792287411","https://openalex.org/W2791213815","https://openalex.org/W2793673860","https://openalex.org/W2806452667","https://openalex.org/W4220757487","https://openalex.org/W2547859134","https://openalex.org/W3199188229"],"abstract_inverted_index":{"Voltage":[0],"Source":[1],"Converters":[2],"(VSCs)":[3],"connected":[4,103],"to":[5,14,104],"weak":[6,107],"grids":[7],"may":[8],"face":[9],"difficulties":[10],"in":[11],"synchronization":[12],"leading":[13],"their":[15],"instability.":[16],"As":[17],"the":[18,21,37,43,47,50,58,62,75,80,88,91,96,100,115,118,124,131,136,142,151],"heart":[19],"of":[20,31,42,46,55,57,61,77,79,90,133,135],"system,":[22],"Phase":[23],"Locked":[24],"Loop":[25],"(PLL)":[26],"is":[27,64,83,102,109,139],"responsible":[28],"for":[29],"synchronism":[30],"VSCs.":[32],"In":[33],"this":[34],"paper,":[35],"using":[36,67],"nonlinear":[38,71],"state":[39],"space":[40],"model":[41],"system":[44,63,92,116,126,138],"composed":[45],"grid":[48,108],"and":[49,53,94],"PLL,":[51],"stability":[52,89],"domain":[54,76,132],"attraction":[56,78,134],"equilibrium":[59,81],"point":[60,82],"investigated.":[65],"Afterwards,":[66],"Lyapunov":[68],"theorem,":[69],"a":[70,105],"controller":[72,98,120],"that":[73,114],"extends":[74],"designed.":[84],"Using":[85],"phase":[86,145],"portraits,":[87],"with":[93,117],"without":[95],"designed":[97],"while":[99],"VSC":[101],"very":[106],"evaluated.":[110],"The":[111],"results":[112,143],"confirm":[113],"proposed":[119],"remains":[121],"stable,":[122],"whereas":[123],"conventional":[125],"cannot":[127],"maintain":[128],"stability.":[129],"Additionally,":[130],"compensated":[137],"calculated.":[140],"Finally,":[141],"from":[144],"portraits":[146],"are":[147],"validated":[148],"by":[149],"simulating":[150],"grid-connected":[152],"VSC.":[153]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}