{"id":"https://openalex.org/W1924753997","doi":"https://doi.org/10.1109/etfa.2015.7301537","title":"Genetic algorithm based on the Lagrange method for the non-convex Economic Dispatch Problem","display_name":"Genetic algorithm based on the Lagrange method for the non-convex Economic Dispatch Problem","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W1924753997","doi":"https://doi.org/10.1109/etfa.2015.7301537","mag":"1924753997"},"language":"en","primary_location":{"id":"doi:10.1109/etfa.2015.7301537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/etfa.2015.7301537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 20th Conference on Emerging Technologies &amp; Factory Automation (ETFA)","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/A5017785775","display_name":"Giulio Binetti","orcid":null},"institutions":[{"id":"https://openalex.org/I68618741","display_name":"Polytechnic University of Bari","ror":"https://ror.org/03c44v465","country_code":"IT","type":"education","lineage":["https://openalex.org/I68618741"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giulio Binetti","raw_affiliation_strings":["Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","institution_ids":["https://openalex.org/I68618741"]},{"raw_affiliation_string":"[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]","institution_ids":["https://openalex.org/I68618741"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011873850","display_name":"David Naso","orcid":"https://orcid.org/0000-0002-7948-8226"},"institutions":[{"id":"https://openalex.org/I68618741","display_name":"Polytechnic University of Bari","ror":"https://ror.org/03c44v465","country_code":"IT","type":"education","lineage":["https://openalex.org/I68618741"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"David Naso","raw_affiliation_strings":["Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","institution_ids":["https://openalex.org/I68618741"]},{"raw_affiliation_string":"[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]","institution_ids":["https://openalex.org/I68618741"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077362534","display_name":"Biagio Turchiano","orcid":"https://orcid.org/0000-0003-2662-7293"},"institutions":[{"id":"https://openalex.org/I68618741","display_name":"Polytechnic University of Bari","ror":"https://ror.org/03c44v465","country_code":"IT","type":"education","lineage":["https://openalex.org/I68618741"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Biagio Turchiano","raw_affiliation_strings":["Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy","institution_ids":["https://openalex.org/I68618741"]},{"raw_affiliation_string":"[Department of Electrical and Information Engineering, Polytechnic University of Bari, Italy]","institution_ids":["https://openalex.org/I68618741"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017785775"],"corresponding_institution_ids":["https://openalex.org/I68618741"],"apc_list":null,"apc_paid":null,"fwci":0.1973,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57171941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"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":0.9984999895095825,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.993399977684021,"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/economic-dispatch","display_name":"Economic dispatch","score":0.861005425453186},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.8238180875778198},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7436097264289856},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.605028510093689},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5518591403961182},{"id":"https://openalex.org/keywords/constraint-algorithm","display_name":"Constraint algorithm","score":0.4808995723724365},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4727640748023987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45642563700675964},{"id":"https://openalex.org/keywords/inner-loop","display_name":"Inner loop","score":0.4480578601360321},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4436696171760559},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4149634540081024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3863661289215088},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33309656381607056},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3170309066772461},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.28979647159576416}],"concepts":[{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.861005425453186},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.8238180875778198},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7436097264289856},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.605028510093689},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5518591403961182},{"id":"https://openalex.org/C15980293","wikidata":"https://www.wikidata.org/wiki/Q5164368","display_name":"Constraint algorithm","level":3,"score":0.4808995723724365},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4727640748023987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45642563700675964},{"id":"https://openalex.org/C58716799","wikidata":"https://www.wikidata.org/wiki/Q6035648","display_name":"Inner loop","level":3,"score":0.4480578601360321},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4436696171760559},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4149634540081024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3863661289215088},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33309656381607056},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3170309066772461},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.28979647159576416},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/etfa.2015.7301537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/etfa.2015.7301537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 20th Conference on Emerging Technologies &amp; Factory Automation (ETFA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1571403844","https://openalex.org/W1985115280","https://openalex.org/W1992484940","https://openalex.org/W2001658805","https://openalex.org/W2002891921","https://openalex.org/W2026731255","https://openalex.org/W2031158250","https://openalex.org/W2041788071","https://openalex.org/W2046514255","https://openalex.org/W2054589207","https://openalex.org/W2067675584","https://openalex.org/W2072963474","https://openalex.org/W2088254784","https://openalex.org/W2112592051","https://openalex.org/W2117618281","https://openalex.org/W2123739403","https://openalex.org/W2123801550","https://openalex.org/W2125313209","https://openalex.org/W2131680865","https://openalex.org/W2139638005","https://openalex.org/W2144644369","https://openalex.org/W2149156031","https://openalex.org/W2155118271","https://openalex.org/W2161601407","https://openalex.org/W2799018399","https://openalex.org/W4300886904"],"related_works":["https://openalex.org/W2024837890","https://openalex.org/W2074745806","https://openalex.org/W1979241556","https://openalex.org/W2352028553","https://openalex.org/W1967449934","https://openalex.org/W2021667451","https://openalex.org/W4302397553","https://openalex.org/W1970808271","https://openalex.org/W2045861968","https://openalex.org/W2017306930"],"abstract_inverted_index":{"This":[0,28],"paper":[1],"considers":[2],"the":[3,39,62,76,93,102,105],"non-convex":[4],"Economic":[5],"Dispatch":[6],"Problem":[7],"(EDP)":[8],"with":[9,68],"power":[10],"losses,":[11],"prohibited":[12],"operating":[13],"zones,":[14],"and":[15,24,47,72,95],"generation":[16],"cost":[17],"functions":[18],"modeling":[19],"both":[20],"valve-point":[21],"loading":[22],"effects":[23,85],"multiple":[25],"fuel":[26],"options.":[27],"constrained":[29],"problem":[30,36],"is":[31,60,98,108],"stated":[32],"as":[33],"an":[34],"unconstrained":[35],"by":[37,110],"using":[38],"augmented":[40],"Lagrange":[41,45,73],"formulation,":[42],"while":[43,75],"introducing":[44],"multipliers":[46],"penalty":[48,70],"parameters.":[49],"Then,":[50],"a":[51,66],"genetic":[52],"algorithm":[53],"(GA)":[54],"relying":[55],"on":[56,92,113],"two":[57,114],"iterative":[58],"loops":[59],"described:":[61],"inner":[63],"loop":[64,78],"executes":[65],"GA":[67],"fixed":[69],"parameters":[71,81],"multipliers,":[74],"outer":[77],"updates":[79],"such":[80],"when":[82],"required.":[83],"The":[84],"of":[86,104],"four":[87],"different":[88],"mutation":[89],"operators":[90],"based":[91],"Gaussian":[94],"Cauchy":[96],"distributions":[97],"also":[99],"investigated.":[100],"Finally,":[101],"effectiveness":[103],"proposed":[106],"approach":[107],"shown":[109],"numerical":[111],"simulations":[112],"practical":[115],"test":[116],"systems.":[117]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
