{"id":"https://openalex.org/W3001201365","doi":"https://doi.org/10.1109/jsyst.2019.2963729","title":"An Optimal Multivariable Constrained Nonlinear (MVCNL) Stochastic Microgrid Planning and Operation Problem With Renewable Penetration","display_name":"An Optimal Multivariable Constrained Nonlinear (MVCNL) Stochastic Microgrid Planning and Operation Problem With Renewable Penetration","publication_year":2020,"publication_date":"2020-01-20","ids":{"openalex":"https://openalex.org/W3001201365","doi":"https://doi.org/10.1109/jsyst.2019.2963729","mag":"3001201365"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2019.2963729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2019.2963729","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","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/A5101966448","display_name":"Maneesh Kumar","orcid":"https://orcid.org/0000-0002-5054-7632"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Maneesh Kumar","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Roorkee, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000206206","display_name":"Barjeev Tyagi","orcid":"https://orcid.org/0000-0001-6277-3066"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Barjeev Tyagi","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology, Roorkee, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154851008"],"apc_list":null,"apc_paid":null,"fwci":4.2273,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.94462811,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"4143","last_page":"4154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9995999932289124,"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":0.9973999857902527,"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/dispatchable-generation","display_name":"Dispatchable generation","score":0.7706515789031982},{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.6957265734672546},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6342092752456665},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.5787227749824524},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.554231584072113},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.522655725479126},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4976640045642853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4817636013031006},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.4626382887363434},{"id":"https://openalex.org/keywords/demand-response","display_name":"Demand response","score":0.4350460171699524},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4205312728881836},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.39349427819252014},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.37021785974502563},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.331091046333313},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.16608795523643494},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.15034857392311096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13638213276863098}],"concepts":[{"id":"https://openalex.org/C85924503","wikidata":"https://www.wikidata.org/wiki/Q5282546","display_name":"Dispatchable generation","level":4,"score":0.7706515789031982},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.6957265734672546},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6342092752456665},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.5787227749824524},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.554231584072113},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.522655725479126},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4976640045642853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4817636013031006},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.4626382887363434},{"id":"https://openalex.org/C2779438525","wikidata":"https://www.wikidata.org/wiki/Q5255048","display_name":"Demand response","level":3,"score":0.4350460171699524},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4205312728881836},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39349427819252014},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.37021785974502563},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.331091046333313},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.16608795523643494},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.15034857392311096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13638213276863098},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2019.2963729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2019.2963729","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W644489863","https://openalex.org/W1981585916","https://openalex.org/W2009461239","https://openalex.org/W2048234744","https://openalex.org/W2055701743","https://openalex.org/W2083713622","https://openalex.org/W2097169140","https://openalex.org/W2119498609","https://openalex.org/W2157151939","https://openalex.org/W2168285891","https://openalex.org/W2210662871","https://openalex.org/W2212422551","https://openalex.org/W2267586429","https://openalex.org/W2333984711","https://openalex.org/W2335545267","https://openalex.org/W2344938262","https://openalex.org/W2470835105","https://openalex.org/W2509119526","https://openalex.org/W2535565731","https://openalex.org/W2549261999","https://openalex.org/W2551402641","https://openalex.org/W2606185087","https://openalex.org/W2626488989","https://openalex.org/W2729513336","https://openalex.org/W2735549622","https://openalex.org/W2740060400","https://openalex.org/W2741211397","https://openalex.org/W2762126907","https://openalex.org/W2767089899","https://openalex.org/W2768803228","https://openalex.org/W2773336166","https://openalex.org/W2801821460","https://openalex.org/W2803590724","https://openalex.org/W2805633959","https://openalex.org/W2807451677","https://openalex.org/W2809017431"],"related_works":["https://openalex.org/W1967744034","https://openalex.org/W2782755977","https://openalex.org/W4229001118","https://openalex.org/W2130644584","https://openalex.org/W2323786183","https://openalex.org/W2561748589","https://openalex.org/W3177313186","https://openalex.org/W1995183710","https://openalex.org/W3011851760","https://openalex.org/W1553758438"],"abstract_inverted_index":{"Microgrids":[0],"(MGs)":[1],"are":[2,52,61],"promising":[3],"archetypes":[4],"for":[5,16],"the":[6,14,33,44,48,84,103,108,122,129,135,155,161,173,176,185],"penetration":[7],"of":[8,36,124,131,137,146,158],"renewable":[9],"energy":[10,38],"sources":[11],"(RES)":[12],"into":[13],"system":[15,163],"reducing":[17],"carbon":[18],"footprints.":[19],"This":[20],"article":[21],"presents":[22],"a":[23,28,72],"cost-based":[24,73],"optimization":[25],"model":[26],"using":[27,54],"stochastic":[29],"programming":[30,78],"to":[31,172],"obtain":[32],"optimal":[34,156],"size":[35],"distributed":[37],"resources":[39],"including":[40],"RES.":[41],"Uncertainties":[42],"in":[43,134,148,184],"solar":[45],"output":[46],"and":[47,166,175],"load":[49,177],"demand":[50,178],"data":[51],"considered":[53],"multiple":[55],"scenarios":[56,179],"with":[57,107,128,140],"random":[58],"variations,":[59],"which":[60,153],"based":[62],"on":[63],"beta":[64],"distribution.":[65],"The":[66,111],"objective":[67,85],"function":[68,86],"is":[69,114,151],"formulated":[70],"as":[71,96,100,102],"multivariable":[74],"constrained":[75],"nonlinear":[76],"convex":[77],"problem.":[79],"Other":[80],"than":[81],"planning":[82,130],"costs,":[83],"also":[87,181],"includes":[88],"per":[89],"day":[90],"running":[91],"or":[92],"operational":[93,125],"costs":[94,99,105],"such":[95],"unit":[97],"commitment":[98],"well":[101],"switching":[104],"associated":[106],"dispatchable":[109],"units.":[110],"overall":[112],"problem":[113],"simulated":[115],"under":[116,160],"MATLAB":[117],"environment.":[118],"Quantitative":[119],"results":[120,147],"indicate":[121],"impact":[123],"paradigm":[126],"along":[127],"an":[132],"MG":[133,159],"form":[136,150],"cost":[138],"analysis":[139],"different":[141,162],"reliability":[142,164],"conditions.":[143],"An":[144],"assessment":[145],"tabular":[149],"presented,":[152],"incorporates":[154],"sizing":[157],"conditions":[165],"constraints.":[167],"Some":[168],"additional":[169],"cases":[170],"pertain":[171],"generation":[174],"have":[180],"been":[182],"included":[183],"article.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}