{"id":"https://openalex.org/W7214895331","doi":"https://doi.org/10.2139/ssrn.7544129","title":"Enhancing Frequency Stability in Islanded Microgrids through Coordinated PID-Based Virtual Inertia Control Using an Improved Equilibrium\u2013Escape Algorithm","display_name":"Enhancing Frequency Stability in Islanded Microgrids through Coordinated PID-Based Virtual Inertia Control Using an Improved Equilibrium\u2013Escape Algorithm","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7214895331","doi":"https://doi.org/10.2139/ssrn.7544129"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.7544129","doi":"https://doi.org/10.2139/ssrn.7544129","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7544129","pdf_url":"https://papers.ssrn.com/sol3/Delivery.cfm/e43450f5-cc61-402b-bcdd-721d7a2fd495-MECA.pdf?abstractid=7544129&mirid=1","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":null,"raw_type":"posted-content"},"parent_works":[],"lineage":["https://openalex.org/W7214895331"],"child_works_count":0,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://papers.ssrn.com/sol3/Delivery.cfm/e43450f5-cc61-402b-bcdd-721d7a2fd495-MECA.pdf?abstractid=7544129&mirid=1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129597230","display_name":"Thai An Nguyen","orcid":"https://orcid.org/0000-0002-4435-5327","observed_orcids":["https://orcid.org/0000-0002-4435-5327"]},"institutions":[{"id":"https://openalex.org/I4210148201","display_name":"Ho Chi Minh City University of Technology and Engineering","ror":"https://ror.org/05hzn5427","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210148201"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Thai  An Nguyen","raw_affiliation_strings":["Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam","institution_ids":["https://openalex.org/I4210148201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153647923","display_name":"Trong  Nghia Le","orcid":"https://orcid.org/0000-0002-4337-7014","observed_orcids":["https://orcid.org/0000-0002-4337-7014"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Trong  Nghia Le","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103718733","display_name":"Huy Anh Quyen","orcid":"https://orcid.org/0000-0001-8946-1302","observed_orcids":["https://orcid.org/0000-0001-8946-1302"]},"institutions":[{"id":"https://openalex.org/I4210148201","display_name":"Ho Chi Minh City University of Technology and Engineering","ror":"https://ror.org/05hzn5427","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210148201"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Huy  Anh Quyen","raw_affiliation_strings":["Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam","institution_ids":["https://openalex.org/I4210148201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153648806","display_name":"Dao  Nhat Nguyen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210148201","display_name":"Ho Chi Minh City University of Technology and Engineering","ror":"https://ror.org/05hzn5427","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210148201"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Dao  Nhat Nguyen","raw_affiliation_strings":["Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam","institution_ids":["https://openalex.org/I4210148201"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103519689","display_name":"Nguy\u1ec5n V\u0103n \u0110\u1ea1i","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210148201","display_name":"Ho Chi Minh City University of Technology and Engineering","ror":"https://ror.org/05hzn5427","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210148201"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Van  Dai Nguyen","raw_affiliation_strings":["Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Electronics Engineering , Ho Chi Minh City University of Technology and Engineering , Ho Chi Minh City 700000 , Vietnam","institution_ids":["https://openalex.org/I4210148201"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5153647923"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9916999936103821,"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":0.9916999936103821,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.005799999926239252,"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/T11081","display_name":"Advanced Control Systems Design","score":0.0010999999940395355,"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/virtual-inertia-control","display_name":"virtual inertia control","score":0.8349999785423279},{"id":"https://openalex.org/keywords/islanded-microgrid","display_name":"islanded microgrids","score":0.9259999990463257},{"id":"https://openalex.org/keywords/frequency-stability","display_name":"frequency stability","score":0.9890000224113464},{"id":"https://openalex.org/keywords/pid-controller-tuning","display_name":"PID controller tuning","score":0.8169999718666077},{"id":"https://openalex.org/keywords/equilibrium-optimizer","display_name":"equilibrium optimizer","score":0.9290000200271606},{"id":"https://openalex.org/keywords/hybrid-metaheuristic-algorithm","display_name":"hybrid metaheuristic","score":0.8769999742507935},{"id":"https://openalex.org/keywords/battery-energy-storage","display_name":"battery energy storage","score":0.7509999871253967},{"id":"https://openalex.org/keywords/wind-turbines","display_name":"wind turbines","score":0.875},{"id":"https://openalex.org/keywords/photovoltaic-systems","display_name":"photovoltaic systems","score":0.8519999980926514},{"id":"https://openalex.org/keywords/renewable-energy-integration","display_name":"renewable energy integration","score":0.5740000009536743},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.5379999876022339},{"id":"https://openalex.org/keywords/rate-of-change-of-frequency","display_name":"rate of change of frequency","score":0.7080000042915344}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7656999826431274},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.6327999830245972},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6069999933242798},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.5491999983787537},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.4853000044822693},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.45500001311302185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45080000162124634},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44670000672340393},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.44519999623298645},{"id":"https://openalex.org/C2778449969","wikidata":"https://www.wikidata.org/wiki/Q130760","display_name":"Turbine","level":2,"score":0.4345000088214874},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.42809998989105225},{"id":"https://openalex.org/C25915539","wikidata":"https://www.wikidata.org/wiki/Q220786","display_name":"Automatic frequency control","level":2,"score":0.41659998893737793},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.375},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C206041023","wikidata":"https://www.wikidata.org/wiki/Q1751970","display_name":"Wilcoxon signed-rank test","level":3,"score":0.3630000054836273},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.3434999883174896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3416999876499176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32170000672340393},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2906999886035919},{"id":"https://openalex.org/C161067210","wikidata":"https://www.wikidata.org/wiki/Q1464943","display_name":"Wind speed","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.27489998936653137}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.7544129","doi":"https://doi.org/10.2139/ssrn.7544129","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7544129","pdf_url":"https://papers.ssrn.com/sol3/Delivery.cfm/e43450f5-cc61-402b-bcdd-721d7a2fd495-MECA.pdf?abstractid=7544129&mirid=1","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.7544129","doi":"https://doi.org/10.2139/ssrn.7544129","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7544129","pdf_url":"https://papers.ssrn.com/sol3/Delivery.cfm/e43450f5-cc61-402b-bcdd-721d7a2fd495-MECA.pdf?abstractid=7544129&mirid=1","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":null,"raw_type":"posted-content"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":1.0},{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9853000044822693}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214895331.pdf","grobid_xml":"https://content.openalex.org/works/W7214895331.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W3118607127","https://openalex.org/W3133427130","https://openalex.org/W3160856464","https://openalex.org/W3180164970","https://openalex.org/W3197308661","https://openalex.org/W3203294668","https://openalex.org/W4251818744","https://openalex.org/W4291001827","https://openalex.org/W4291121259","https://openalex.org/W4306897026","https://openalex.org/W4309569823","https://openalex.org/W4310273263","https://openalex.org/W4313188389","https://openalex.org/W4364376448","https://openalex.org/W4365138343","https://openalex.org/W4366729659","https://openalex.org/W4367598069","https://openalex.org/W4372313971","https://openalex.org/W4372347233","https://openalex.org/W4386000427","https://openalex.org/W4386589245","https://openalex.org/W4387993609","https://openalex.org/W4388147494","https://openalex.org/W4388627440","https://openalex.org/W4390544437","https://openalex.org/W4390567426","https://openalex.org/W4391906147","https://openalex.org/W4393069461","https://openalex.org/W4395026104","https://openalex.org/W4399463593","https://openalex.org/W4400807779","https://openalex.org/W4404235600","https://openalex.org/W4404432900","https://openalex.org/W4404563140","https://openalex.org/W4405982980","https://openalex.org/W4406113379","https://openalex.org/W4407381437","https://openalex.org/W4407867449","https://openalex.org/W4412656317","https://openalex.org/W4412732533","https://openalex.org/W4413120163","https://openalex.org/W4414127562","https://openalex.org/W4415192564","https://openalex.org/W4416447824","https://openalex.org/W7118016523","https://openalex.org/W7151092794"],"related_works":["https://openalex.org/W7118016523","https://openalex.org/W7037241445","https://openalex.org/W4394994570","https://openalex.org/W4226431584","https://openalex.org/W4388627440","https://openalex.org/W4410007545","https://openalex.org/W4415166723","https://openalex.org/W4386745950","https://openalex.org/W7154128806","https://openalex.org/W3177759772"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-10-01T00:00:00"}