{"id":"https://openalex.org/W2964048055","doi":"https://doi.org/10.1109/tac.2019.2906723","title":"On the Dynamics of Distributed Energy Adoption: Equilibrium, Stability, and Limiting Capacity","display_name":"On the Dynamics of Distributed Energy Adoption: Equilibrium, Stability, and Limiting Capacity","publication_year":2019,"publication_date":"2019-03-27","ids":{"openalex":"https://openalex.org/W2964048055","doi":"https://doi.org/10.1109/tac.2019.2906723","mag":"2964048055"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2906723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2906723","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026679992","display_name":"Tao Sun","orcid":"https://orcid.org/0000-0003-3838-708X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tao Sun","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Stanford University, Stanford, USA"],"raw_orcid":"https://orcid.org/0000-0003-3838-708X","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044316824","display_name":"Lang Tong","orcid":"https://orcid.org/0000-0003-3322-2681"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lang Tong","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, USA"],"raw_orcid":"https://orcid.org/0000-0003-3322-2681","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068904522","display_name":"Donghan Feng","orcid":"https://orcid.org/0000-0002-9642-4777"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donghan Feng","raw_affiliation_strings":["Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9642-4777","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026679992"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.4693,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89508551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"65","issue":"1","first_page":"102","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9959999918937683,"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/T10471","display_name":"Climate Change Policy and Economics","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.6380845904350281},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.5641303658485413},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.508508563041687},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.4498044550418854},{"id":"https://openalex.org/keywords/tariff","display_name":"Tariff","score":0.4450171887874603},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.4322871267795563},{"id":"https://openalex.org/keywords/economic-surplus","display_name":"Economic surplus","score":0.41136854887008667},{"id":"https://openalex.org/keywords/welfare","display_name":"Welfare","score":0.2893909215927124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12663701176643372},{"id":"https://openalex.org/keywords/market-economy","display_name":"Market economy","score":0.1236279308795929},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11446228623390198},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09771150350570679}],"concepts":[{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.6380845904350281},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.5641303658485413},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.508508563041687},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.4498044550418854},{"id":"https://openalex.org/C2776060655","wikidata":"https://www.wikidata.org/wiki/Q52389","display_name":"Tariff","level":2,"score":0.4450171887874603},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.4322871267795563},{"id":"https://openalex.org/C167393938","wikidata":"https://www.wikidata.org/wiki/Q268617","display_name":"Economic surplus","level":3,"score":0.41136854887008667},{"id":"https://openalex.org/C100243477","wikidata":"https://www.wikidata.org/wiki/Q12002092","display_name":"Welfare","level":2,"score":0.2893909215927124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12663701176643372},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.1236279308795929},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11446228623390198},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09771150350570679},{"id":"https://openalex.org/C155202549","wikidata":"https://www.wikidata.org/wiki/Q178803","display_name":"International trade","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/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2019.2906723","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2906723","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6899999976158142,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G6194422530","display_name":null,"funder_award_id":"1809830","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7389063807","display_name":null,"funder_award_id":"1816397","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1573275480","https://openalex.org/W1843143360","https://openalex.org/W1964473994","https://openalex.org/W1966770423","https://openalex.org/W1977205653","https://openalex.org/W1983562450","https://openalex.org/W2046030519","https://openalex.org/W2062511553","https://openalex.org/W2074471427","https://openalex.org/W2130067743","https://openalex.org/W2153535184","https://openalex.org/W2171341352","https://openalex.org/W2232969962","https://openalex.org/W2236785114","https://openalex.org/W2509334805","https://openalex.org/W2592918536","https://openalex.org/W2593918809","https://openalex.org/W2782987934","https://openalex.org/W3021097675","https://openalex.org/W3122406884","https://openalex.org/W4253543067","https://openalex.org/W4253668592","https://openalex.org/W6641037340"],"related_works":["https://openalex.org/W2073696198","https://openalex.org/W70342287","https://openalex.org/W2376081339","https://openalex.org/W2068364581","https://openalex.org/W1964520652","https://openalex.org/W2383065606","https://openalex.org/W1488508619","https://openalex.org/W2050455354","https://openalex.org/W2129195002","https://openalex.org/W2015799450"],"abstract_inverted_index":{"The":[0,96],"death":[1,35,55],"spiral":[2,36,56],"hypothesis":[3],"in":[4,12,48,119],"electric":[5],"utility":[6,16,64],"represents":[7],"a":[8,14,67,93,104,110,114,120,125],"positive":[9],"feedback":[10],"phenomenon":[11],"which":[13,81],"regulated":[15],"is":[17],"driven":[18],"to":[19,87,141],"financial":[20],"instability":[21],"by":[22],"rising":[23],"prices":[24],"and":[25,37,75,131],"declining":[26],"demand.":[27],"We":[28,46],"establish":[29],"conditions":[30,38],"for":[31],"the":[32,58,63,78,88],"existence":[33],"of":[34,39,42,62,128],"stable":[40,94,121],"adoption":[41,102,122,130,145],"distributed":[43],"energy":[44],"resources.":[45],"show":[47],"particular":[49],"that":[50],"linear":[51],"tariffs":[52,72],"always":[53],"induce":[54],"when":[57],"fixed":[59],"operating":[60],"cost":[61],"rises":[65],"beyond":[66],"certain":[68],"threshold.":[69],"For":[70],"two-part":[71,111],"with":[73,103,113,124],"connection":[74,106,116],"volumetric":[76],"charges,":[77],"Ramsey":[79,97],"pricing,":[80,98],"myopically":[82],"optimizes":[83],"social":[84],"welfare":[85],"subject":[86],"revenue":[89],"adequacy":[90],"constraint,":[91],"induces":[92],"equilibrium.":[95],"however,":[99],"inhibits":[100],"renewable":[101,129],"high":[105],"charge.":[107],"In":[108],"contrast,":[109],"tariff":[112],"small":[115],"charge":[117],"results":[118],"process":[123],"higher":[126],"level":[127],"greater":[132],"long-term":[133],"total":[134],"consumer":[135],"surplus.":[136],"Market":[137],"data":[138],"are":[139],"used":[140],"illustrate":[142],"various":[143],"solar":[144],"scenarios.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}
