{"id":"https://openalex.org/W3008734422","doi":"https://doi.org/10.1155/2020/6297134","title":"How Price-Based Frequency Regulation Impacts Stability in Power Grids: A Complex Network Perspective","display_name":"How Price-Based Frequency Regulation Impacts Stability in Power Grids: A Complex Network Perspective","publication_year":2020,"publication_date":"2020-02-28","ids":{"openalex":"https://openalex.org/W3008734422","doi":"https://doi.org/10.1155/2020/6297134","mag":"3008734422"},"language":"en","primary_location":{"id":"doi:10.1155/2020/6297134","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6297134","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6297134.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/6297134.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079326373","display_name":"Peng Ji","orcid":"https://orcid.org/0000-0002-3225-8431"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4210085920","display_name":"Shanghai Institute for Science of Science","ror":"https://ror.org/004srxn73","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210085920"]},{"id":"https://openalex.org/I4210164150","display_name":"Shanghai Center for Brain Science and Brain-Inspired Technology","ror":"https://ror.org/0551a0y31","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210164150"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["CN","DE"],"is_corresponding":true,"raw_author_name":"Peng Ji","raw_affiliation_strings":["Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China","LCNBI and LMNS (Fudan University), Ministry of Education, Shanghai 200433, China","Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany","Research Institute of Intelligent and Complex Systems, Fudan University, Shanghai 200433, China"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I4210164150","https://openalex.org/I4210085920","https://openalex.org/I24943067"]},{"raw_affiliation_string":"LCNBI and LMNS (Fudan University), Ministry of Education, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]},{"raw_affiliation_string":"Research Institute of Intelligent and Complex Systems, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065810347","display_name":"Lipeng Zhu","orcid":"https://orcid.org/0000-0001-6051-9064"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Lipeng Zhu","raw_affiliation_strings":["Department of Electrical and Electric Engineering, The University of Hong Kong, 999077 Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electric Engineering, The University of Hong Kong, 999077 Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100639049","display_name":"Chao L\u00fc","orcid":"https://orcid.org/0000-0002-2791-8714"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Lu","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, 100084 Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, 100084 Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045411384","display_name":"Wei Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4210085920","display_name":"Shanghai Institute for Science of Science","ror":"https://ror.org/004srxn73","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210085920"]},{"id":"https://openalex.org/I4210164150","display_name":"Shanghai Center for Brain Science and Brain-Inspired Technology","ror":"https://ror.org/0551a0y31","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210164150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Lin","raw_affiliation_strings":["Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China","LCNBI and LMNS (Fudan University), Ministry of Education, Shanghai 200433, China","Research Institute of Intelligent and Complex Systems, Fudan University, Shanghai 200433, China"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I4210164150","https://openalex.org/I4210085920","https://openalex.org/I24943067"]},{"raw_affiliation_string":"LCNBI and LMNS (Fudan University), Ministry of Education, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Research Institute of Intelligent and Complex Systems, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085207296","display_name":"J\u00fcrgen Kurths","orcid":"https://orcid.org/0000-0002-5926-4276"},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE","RU"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Kurths","raw_affiliation_strings":["Department of Physics, Humboldt University, 12489 Berlin, Germany","Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany","Saratov State University, 83, Astrakhanskaya Str., 410012 Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Humboldt University, 12489 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany","institution_ids":["https://openalex.org/I60200437"]},{"raw_affiliation_string":"Saratov State University, 83, Astrakhanskaya Str., 410012 Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065810347","https://openalex.org/A5079326373"],"corresponding_institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4210085920","https://openalex.org/I4210164150","https://openalex.org/I60200437","https://openalex.org/I889458895"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.6473,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71038129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.972599983215332,"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/stability","display_name":"Stability (learning theory)","score":0.6640685796737671},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6293337941169739},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.6159960031509399},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.565083384513855},{"id":"https://openalex.org/keywords/safer","display_name":"SAFER","score":0.5458312034606934},{"id":"https://openalex.org/keywords/upgrade","display_name":"Upgrade","score":0.5306457877159119},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.5237091183662415},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.504269003868103},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5017187595367432},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4912979006767273},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.48597750067710876},{"id":"https://openalex.org/keywords/frequency-grid","display_name":"Frequency grid","score":0.4206990599632263},{"id":"https://openalex.org/keywords/automatic-frequency-control","display_name":"Automatic frequency control","score":0.4177427887916565},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34113609790802},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2819202244281769},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.21363356709480286},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.14208325743675232},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1412772536277771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09450837969779968}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6640685796737671},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6293337941169739},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.6159960031509399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.565083384513855},{"id":"https://openalex.org/C2776654903","wikidata":"https://www.wikidata.org/wiki/Q2601463","display_name":"SAFER","level":2,"score":0.5458312034606934},{"id":"https://openalex.org/C2780615140","wikidata":"https://www.wikidata.org/wiki/Q920419","display_name":"Upgrade","level":2,"score":0.5306457877159119},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.5237091183662415},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.504269003868103},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5017187595367432},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4912979006767273},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.48597750067710876},{"id":"https://openalex.org/C21905445","wikidata":"https://www.wikidata.org/wiki/Q5502873","display_name":"Frequency grid","level":3,"score":0.4206990599632263},{"id":"https://openalex.org/C25915539","wikidata":"https://www.wikidata.org/wiki/Q220786","display_name":"Automatic frequency control","level":2,"score":0.4177427887916565},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34113609790802},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2819202244281769},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.21363356709480286},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.14208325743675232},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1412772536277771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09450837969779968},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/6297134","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6297134","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6297134.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6297134","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/6297134.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:67540d4562fd40ae96d137b08f6eb1df","is_oa":true,"landing_page_url":"https://doaj.org/article/67540d4562fd40ae96d137b08f6eb1df","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:publications.pik-potsdam.de:item_24184","is_oa":true,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_24184","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"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":"Complexity","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1155/2020/6297134","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6297134","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6297134.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1141678195","display_name":null,"funder_award_id":"51677097","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1627804613","display_name":null,"funder_award_id":"61773125","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G1815810459","display_name":null,"funder_award_id":"18DZ1201000","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2957964302","display_name":null,"funder_award_id":"11925103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2981405919","display_name":null,"funder_award_id":"075-15-2019-1885","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G2985850060","display_name":null,"funder_award_id":"T23-701/14-N","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G3019968477","display_name":null,"funder_award_id":"U1766214","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G302343367","display_name":null,"funder_award_id":"2018YFB0904500","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3393202114","display_name":null,"funder_award_id":"61773125","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G3411651979","display_name":null,"funder_award_id":"51677097","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G3429015207","display_name":null,"funder_award_id":"18DZ1201000","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G3467752530","display_name":null,"funder_award_id":"11925103","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G3483516783","display_name":null,"funder_award_id":"U1766214","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G352263258","display_name":null,"funder_award_id":"U1766214","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G3541893171","display_name":"Collaborative Research: Scalable Multiscale Models for the Cerebrovasculature: Algorithms, Software and Petaflop Simulations","funder_award_id":"0904500","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3572139228","display_name":null,"funder_award_id":"18DZ1201000","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G38636372","display_name":null,"funder_award_id":"61773125","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3904660604","display_name":null,"funder_award_id":"T23-701/14-N","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4037507357","display_name":null,"funder_award_id":"075-15-2019-1885","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4081927284","display_name":null,"funder_award_id":"2018YFB0904500","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G4091527412","display_name":null,"funder_award_id":"11701096","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G4322807488","display_name":null,"funder_award_id":"61773125","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G4520043474","display_name":null,"funder_award_id":"11701096","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4541052519","display_name":null,"funder_award_id":"U1766214","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G4710632462","display_name":null,"funder_award_id":"2018YFC0116600","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4714778155","display_name":null,"funder_award_id":"2018YFC0116600","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G471883113","display_name":null,"funder_award_id":"2018YFB0904500","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G472223061","display_name":null,"funder_award_id":"61773125","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G5006572538","display_name":null,"funder_award_id":"2018YFC0116600","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G5137344873","display_name":null,"funder_award_id":"51677097","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G5177106898","display_name":null,"funder_award_id":"2018YFC0116600","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G5472550023","display_name":null,"funder_award_id":"2018YFB0904500","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G5489410378","display_name":null,"funder_award_id":"51677097","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G5519978943","display_name":null,"funder_award_id":"11701096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5674659289","display_name":null,"funder_award_id":"T23-701/14-N","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6373937565","display_name":null,"funder_award_id":"11701096","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G6394298827","display_name":null,"funder_award_id":"11925103","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G6405648003","display_name":null,"funder_award_id":"075-15-2019-1885","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G6541201481","display_name":null,"funder_award_id":"11925103","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G657254486","display_name":null,"funder_award_id":"075-15-2019-1885","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G6644284651","display_name":null,"funder_award_id":"18DZ1201000","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6753659912","display_name":null,"funder_award_id":"2018YFB0904500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7000645282","display_name":null,"funder_award_id":"11701096","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7364098932","display_name":null,"funder_award_id":"51677097","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7605653122","display_name":null,"funder_award_id":"T23-701/14-N","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G7819546798","display_name":null,"funder_award_id":"11925103","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G8269294844","display_name":null,"funder_award_id":"U176621","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8659948473","display_name":null,"funder_award_id":"075-15-2019-1885","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G8729961374","display_name":null,"funder_award_id":"18DZ1201000","funder_id":"https://openalex.org/F4320336023","funder_display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning"},{"id":"https://openalex.org/G8863010830","display_name":null,"funder_award_id":"T23-701/14-N","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G8947495825","display_name":null,"funder_award_id":"U1766214","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G8954983504","display_name":null,"funder_award_id":"2018YFC0116600","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321851","display_name":"Fudan University","ror":"https://ror.org/013q1eq08"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320336023","display_name":"Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3008734422.pdf","grobid_xml":"https://content.openalex.org/works/W3008734422.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W261461018","https://openalex.org/W1521342131","https://openalex.org/W1559149820","https://openalex.org/W1578978182","https://openalex.org/W1974388440","https://openalex.org/W1974573143","https://openalex.org/W2000599644","https://openalex.org/W2015084265","https://openalex.org/W2019861006","https://openalex.org/W2022610698","https://openalex.org/W2060142650","https://openalex.org/W2068819042","https://openalex.org/W2072298344","https://openalex.org/W2077148637","https://openalex.org/W2085226602","https://openalex.org/W2106034715","https://openalex.org/W2108355511","https://openalex.org/W2109046263","https://openalex.org/W2123982600","https://openalex.org/W2125025316","https://openalex.org/W2136391999","https://openalex.org/W2151873092","https://openalex.org/W2153706317","https://openalex.org/W2168448159","https://openalex.org/W2261357334","https://openalex.org/W2262880348","https://openalex.org/W2409704060","https://openalex.org/W2738614788","https://openalex.org/W2779000226","https://openalex.org/W2810571126","https://openalex.org/W2901087988","https://openalex.org/W2963032256","https://openalex.org/W2971138820","https://openalex.org/W3098464343","https://openalex.org/W3102654474","https://openalex.org/W3105901970"],"related_works":["https://openalex.org/W4226403040","https://openalex.org/W4200443615","https://openalex.org/W2380428779","https://openalex.org/W4210705804","https://openalex.org/W4361858090","https://openalex.org/W2903648507","https://openalex.org/W4376457772","https://openalex.org/W4388282282","https://openalex.org/W2333668056","https://openalex.org/W4290997435"],"abstract_inverted_index":{"With":[0],"the":[1,29,46,71,77,85,93,117],"deregulation":[2],"of":[3,66,74,84,116],"modern":[4],"power":[5,18,35,119],"grids,":[6],"electricity":[7,31],"markets":[8],"are":[9],"playing":[10],"a":[11,39,63,97,122],"more":[12,14],"and":[13,21,53,95,114,124],"important":[15],"role":[16],"in":[17,58,104,121],"grid":[19,36],"operation":[20,33],"control.":[22],"However,":[23],"it":[24],"is":[25],"still":[26],"questionable":[27],"how":[28],"real-time":[30],"price-based":[32,50],"affects":[34],"stability.":[37],"From":[38],"complex":[40],"network":[41,67,101],"perspective,":[42],"here":[43],"we":[44],"investigate":[45],"dynamical":[47],"interactions":[48],"between":[49],"frequency":[51],"regulations":[52],"physical":[54],"networks,":[55],"which":[56],"results":[57],"an":[59],"interesting":[60],"finding":[61,94],"that":[62],"local":[64],"minimum":[65],"stability":[68,102],"occurs":[69],"when":[70],"response":[72],"strength":[73],"generators/consumers":[75],"to":[76,100],"varying":[78],"price":[79],"increases.":[80],"A":[81],"case":[82],"study":[83],"real":[86],"world-based":[87],"China":[88],"Southern":[89],"Power":[90],"Grid":[91],"demonstrates":[92],"exhibits":[96],"feasible":[98],"approach":[99],"enhancement":[103],"smart":[105],"grids.":[106],"This":[107],"also":[108],"provides":[109],"guidance":[110],"for":[111],"potential":[112],"upgrade":[113],"expansion":[115],"current":[118],"grids":[120],"cleaner":[123],"safer":[125],"way.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
