{"id":"https://openalex.org/W2795606977","doi":"https://doi.org/10.1109/tsg.2018.2822766","title":"Decomposition and Equilibrium Achieving Distribution Locational Marginal Prices Using Trust-Region Method","display_name":"Decomposition and Equilibrium Achieving Distribution Locational Marginal Prices Using Trust-Region Method","publication_year":2018,"publication_date":"2018-04-03","ids":{"openalex":"https://openalex.org/W2795606977","doi":"https://doi.org/10.1109/tsg.2018.2822766","mag":"2795606977"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2018.2822766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2822766","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","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/A5002048025","display_name":"Sarmad Hanif","orcid":"https://orcid.org/0000-0003-3222-9371"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sarmad Hanif","raw_affiliation_strings":["Electrification Suite and Test Laboratory, TUMCREATE, Singapore"],"raw_orcid":"https://orcid.org/0000-0003-3222-9371","affiliations":[{"raw_affiliation_string":"Electrification Suite and Test Laboratory, TUMCREATE, Singapore","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000575387","display_name":"Kai Zhang","orcid":"https://orcid.org/0000-0001-5944-8377"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kai Zhang","raw_affiliation_strings":["Electrification Suite and Test Laboratory, TUMCREATE, Singapore"],"raw_orcid":"https://orcid.org/0000-0001-5944-8377","affiliations":[{"raw_affiliation_string":"Electrification Suite and Test Laboratory, TUMCREATE, Singapore","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050953046","display_name":"Christoph M. Hackl","orcid":"https://orcid.org/0000-0001-5829-6818"},"institutions":[{"id":"https://openalex.org/I174004417","display_name":"Munich University of Applied Sciences","ror":"https://ror.org/012k1v959","country_code":"DE","type":"education","lineage":["https://openalex.org/I174004417"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph M. Hackl","raw_affiliation_strings":["Munich University of Applied Sciences, Technical University Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5829-6818","affiliations":[{"raw_affiliation_string":"Munich University of Applied Sciences, Technical University Munich, Munich, Germany","institution_ids":["https://openalex.org/I174004417"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014048909","display_name":"Masoud Barati","orcid":"https://orcid.org/0000-0003-0905-6505"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Masoud Barati","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Louisiana State University, Baton Rogue, LA, USA"],"raw_orcid":"https://orcid.org/0000-0003-0905-6505","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Louisiana State University, Baton Rogue, LA, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035518578","display_name":"Hoay Beng Gooi","orcid":"https://orcid.org/0000-0002-5983-2181"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Hoay Beng Gooi","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-5983-2181","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002116092","display_name":"Thomas Hamacher","orcid":"https://orcid.org/0000-0002-0387-8199"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Hamacher","raw_affiliation_strings":["Renewable and Sustainable Energy Systems, Technical University of Munich, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Renewable and Sustainable Energy Systems, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5002048025"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4972,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96286504,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"10","issue":"3","first_page":"3269","last_page":"3281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9994999766349792,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9994999766349792,"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/T10424","display_name":"Electric Power System Optimization","score":0.9983999729156494,"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/T10603","display_name":"Smart Grid Energy Management","score":0.998199999332428,"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/grid","display_name":"Grid","score":0.6933111548423767},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6689345240592957},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.642816424369812},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5878396034240723},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5141594409942627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.502326488494873},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.43468695878982544},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.43009430170059204},{"id":"https://openalex.org/keywords/market-clearing","display_name":"Market clearing","score":0.42412105202674866},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.34961363673210144},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.19636210799217224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.187218576669693},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1729312241077423},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.11857870221138},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09178388118743896}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6933111548423767},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6689345240592957},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.642816424369812},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5878396034240723},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5141594409942627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.502326488494873},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.43468695878982544},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.43009430170059204},{"id":"https://openalex.org/C14981831","wikidata":"https://www.wikidata.org/wiki/Q1713661","display_name":"Market clearing","level":2,"score":0.42412105202674866},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.34961363673210144},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.19636210799217224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.187218576669693},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1729312241077423},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.11857870221138},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09178388118743896},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2018.2822766","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2822766","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W51105495","https://openalex.org/W147998453","https://openalex.org/W1541786028","https://openalex.org/W1966788746","https://openalex.org/W1977717893","https://openalex.org/W1984452440","https://openalex.org/W1989198593","https://openalex.org/W2000218658","https://openalex.org/W2034194462","https://openalex.org/W2043846842","https://openalex.org/W2057057063","https://openalex.org/W2064031160","https://openalex.org/W2100197017","https://openalex.org/W2106424475","https://openalex.org/W2108114277","https://openalex.org/W2143197620","https://openalex.org/W2165164291","https://openalex.org/W2171845477","https://openalex.org/W2311531209","https://openalex.org/W2326889094","https://openalex.org/W2339497397","https://openalex.org/W2485135858","https://openalex.org/W2516287511","https://openalex.org/W2536620281","https://openalex.org/W2549652056","https://openalex.org/W2581278673","https://openalex.org/W2590139027","https://openalex.org/W2766898170","https://openalex.org/W4229785982","https://openalex.org/W6729303518","https://openalex.org/W6733809731"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W4246352526","https://openalex.org/W2121910908","https://openalex.org/W915438175","https://openalex.org/W4230315250"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,14,91],"new":[3],"distribution":[4,81,95],"locational":[5],"marginal":[6],"price":[7],"(DLMP)":[8],"model":[9,39,86],"which":[10],"is":[11,69,87],"based":[12],"on":[13,90,99],"linearized":[15],"variant":[16],"of":[17,71,106],"the":[18,34,36,44,104],"global":[19],"energy":[20],"balance":[21],"formulation":[22],"along":[23],"with":[24,103],"trust-regionbased":[25],"solution":[26],"methodology.":[27],"Compared":[28],"to":[29,42],"existing":[30],"DLMP":[31,38],"works":[32],"in":[33,78],"literature,":[35],"proposed":[37],"has":[40],"shown":[41],"depict":[43],"following":[45],"features:":[46],"1)":[47],"it":[48,61,68],"decomposes":[49],"into":[50],"most":[51],"general":[52],"components,":[53],"i.e.,":[54],"energy,":[55],"loss,":[56],"congestion,":[57],"and":[58,66,97,111],"voltage;":[59],"2)":[60],"presents":[62],"market":[63],"equilibrium":[64],"conditions;":[65],"3)":[67],"capable":[70],"achieving":[72],"an":[73],"efficient":[74],"flexibility":[75],"resource":[76],"allocation":[77],"local":[79],"day-ahead":[80],"grid":[82,96],"markets.":[83],"The":[84],"developed":[85],"tested":[88],"first":[89],"benchmark":[92],"IEEE":[93],"33-bus":[94],"then":[98],"much":[100],"larger":[101],"grids":[102],"inclusion":[105],"dispatch":[107],"from":[108],"flexible":[109],"loads":[110],"distributed":[112],"generators.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}