{"id":"https://openalex.org/W3022097124","doi":"https://doi.org/10.1109/isgt45199.2020.9087752","title":"On Convex Relaxation-Based Distribution Locational Marginal Prices","display_name":"On Convex Relaxation-Based Distribution Locational Marginal Prices","publication_year":2020,"publication_date":"2020-02-01","ids":{"openalex":"https://openalex.org/W3022097124","doi":"https://doi.org/10.1109/isgt45199.2020.9087752","mag":"3022097124"},"language":"en","primary_location":{"id":"doi:10.1109/isgt45199.2020.9087752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt45199.2020.9087752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5058857221","display_name":"Anna Winnicki","orcid":"https://orcid.org/0000-0001-9880-2340"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anna Winnicki","raw_affiliation_strings":["University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054698746","display_name":"Mariola Ndrio","orcid":"https://orcid.org/0000-0002-7486-7235"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mariola Ndrio","raw_affiliation_strings":["University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034661090","display_name":"Subhonmesh Bose","orcid":"https://orcid.org/0000-0002-1564-1762"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subhonmesh Bose","raw_affiliation_strings":["University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign,Department of Electrical and Computer Engineering,Urbana,IL,61801","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":2.8626,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.91306733,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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/T10603","display_name":"Smart Grid Energy Management","score":0.9991999864578247,"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":0.996399998664856,"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":0.600394070148468},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5956103801727295},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5338517427444458},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5209758877754211},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.49481600522994995},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.47734859585762024},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47350460290908813},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4490509629249573},{"id":"https://openalex.org/keywords/marginal-cost","display_name":"Marginal cost","score":0.447269082069397},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.4405818581581116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.398820698261261},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3384189009666443},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.26968681812286377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26706641912460327},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1145218014717102},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08762356638908386}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.600394070148468},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5956103801727295},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5338517427444458},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5209758877754211},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.49481600522994995},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.47734859585762024},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47350460290908813},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4490509629249573},{"id":"https://openalex.org/C66887028","wikidata":"https://www.wikidata.org/wiki/Q382444","display_name":"Marginal cost","level":2,"score":0.447269082069397},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.4405818581581116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.398820698261261},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3384189009666443},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.26968681812286377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26706641912460327},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1145218014717102},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08762356638908386},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isgt45199.2020.9087752","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt45199.2020.9087752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.75,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1970053263","https://openalex.org/W1977717893","https://openalex.org/W2063559372","https://openalex.org/W2086664392","https://openalex.org/W2092723855","https://openalex.org/W2100197017","https://openalex.org/W2112295312","https://openalex.org/W2112716483","https://openalex.org/W2141380252","https://openalex.org/W2143197620","https://openalex.org/W2311531209","https://openalex.org/W2549652056","https://openalex.org/W2590139027","https://openalex.org/W2893024790","https://openalex.org/W3101868728","https://openalex.org/W6754669605"],"related_works":["https://openalex.org/W4310173797","https://openalex.org/W2603334655","https://openalex.org/W1544444669","https://openalex.org/W2970916260","https://openalex.org/W2360183304","https://openalex.org/W2810390450","https://openalex.org/W2084105443","https://openalex.org/W2955978773","https://openalex.org/W2465125299","https://openalex.org/W3095289956"],"abstract_inverted_index":{"We":[0,49],"investigate":[1],"and":[2,45],"analyze":[3],"properties":[4],"of":[5,28],"convex":[6],"relaxation":[7],"based":[8],"prices":[9],"to":[10,17],"compensate":[11],"distributed":[12],"energy":[13],"resources":[14],"(DERs)":[15],"connected":[16],"a":[18],"radial":[19],"distribution":[20,34],"grid.":[21],"Our":[22],"main":[23],"contribution":[24],"is":[25,46],"the":[26],"identification":[27],"sufficient":[29],"conditions":[30],"under":[31],"which":[32],"this":[33],"locational":[35],"marginal":[36],"pricing":[37],"(DLMP)":[38],"mechanism":[39],"supports":[40],"an":[41],"efficient":[42],"market":[43],"equilibrium":[44],"revenue":[47],"adequate.":[48],"illustrate":[50],"our":[51],"analysis":[52],"through":[53],"examples.":[54]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}