{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/109550"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/109550","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Convex relaxation based locational marginal prices for electricity markets","abstract":"We propose and analyze semidefinite relaxation-based locational marginal prices (RLMPs) for real and reactive power in electricity markets. Our analysis reveals that when the nonconvex economic dispatch problem has zero duality gap, the RLMPs exhibit properties similar to locational marginal prices with linearized power flow equations. Otherwise, they behave similarly to convex hull prices. Restricted to radial distribution networks, RLMPs reduce to second-order cone relaxation-based distribution locational marginal prices. We illustrate our theoretical results on numerical examples. We also investigate and analyze properties of convex relaxation-based prices to compensate for distributed energy resources (DERs) connected to a radial distribution grid. Our main contribution is the identification of sufficient conditions under which this distribution locational marginal pricing (DLMP) mechanism supports an efficient market equilibrium and is revenue adequate. We illustrate our analysis through examples.","abstract_html":"We propose and analyze semidefinite relaxation-based locational marginal prices (RLMPs) for real and reactive power in electricity markets. Our analysis reveals that when the nonconvex economic dispatch problem has zero duality gap, the RLMPs exhibit properties similar to locational marginal prices with linearized power flow equations. Otherwise, they behave similarly to convex hull prices. Restricted to radial distribution networks, RLMPs reduce to second-order cone relaxation-based distribution locational marginal prices. We illustrate our theoretical results on numerical examples. We also investigate and analyze properties of convex relaxation-based prices to compensate for distributed energy resources (DERs) connected to a radial distribution grid. Our main contribution is the identification of sufficient conditions under which this distribution locational marginal pricing (DLMP) mechanism supports an efficient market equilibrium and is revenue adequate. We illustrate our analysis through examples.","abstract_has_math":false,"creators":["Winnicki, Anna"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Bose, Subhonmesh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-03-05T21:45:04Z","date_published":"2021-03-05T21:45:04Z","updated_at":"2026-07-22T22:24:50Z","subjects":["Convex relaxation","electricity markets","locational marginal prices","revenue adequacy","efficient market equilibrium"],"languages":["en"],"rights":["Copyright 2020 Anna Winnicki"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/109550","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bose, Subhonmesh"]},{"key":"dc:creator","label":"Author","values":["Winnicki, Anna"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021-03-05T21:45:04Z","2023-03-05T21:47:41Z","2020-08-03","2020-12"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Convex relaxation","electricity markets","locational marginal prices","revenue adequacy","efficient market equilibrium"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2020 Anna Winnicki"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/109550"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We propose and analyze semidefinite relaxation-based locational marginal prices (RLMPs) for real and reactive power in electricity markets. Our analysis reveals that when the nonconvex economic dispatch problem has zero duality gap, the RLMPs exhibit properties similar to locational marginal prices with linearized power flow equations. Otherwise, they behave similarly to convex hull prices. Restricted to radial distribution networks, RLMPs reduce to second-order cone relaxation-based distribution locational marginal prices. We illustrate our theoretical results on numerical examples. We also investigate and analyze properties of convex relaxation-based prices to compensate for distributed energy resources (DERs) connected to a radial distribution grid. Our main contribution is the identification of sufficient conditions under which this distribution locational marginal pricing (DLMP) mechanism supports an efficient market equilibrium and is revenue adequate. We illustrate our analysis through examples.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2022-12-01","The student, Anna Winnicki, accepted the attached license on 2020-07-30 at 18:47.","The student, Anna Winnicki, submitted this Thesis for approval on 2020-07-30 at 19:00.","This Thesis was approved for publication on 2020-08-03 at 14:31.","DSpace SAF Submission Ingestion Package generated from Vireo submission #15761 on 2021-03-04 at 16:29:53","Made available in DSpace on 2021-03-05T21:45:04Z (GMT). No. of bitstreams: 2 WINNICKI-THESIS-2020.pdf: 903011 bytes, checksum: adfc17e59e6773b8f01ff10af31bd471 (MD5) LICENSE.txt: 4210 bytes, checksum: 052d36d48f3baf066abe5f60da717a6a (MD5) Previous issue date: 2020-08-03","Embargo set by: Seth Robbins for item 117255 Lift date: 2023-03-05T21:45:47Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Embargo set by: Seth Robbins for item 117255 Lift date: 2023-03-05T21:47:41Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Author requested closed access (OA after 2yrs) in Vireo ETD system","Limited"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Convex relaxation based locational marginal prices for electricity markets"]}]}],"canonical_facts":{"dc:contributor":["Bose, Subhonmesh"],"dc:creator":["Winnicki, Anna"],"dc:date":["2021-03-05T21:45:04Z","2023-03-05T21:47:41Z","2020-08-03","2020-12"],"dc:description":["We propose and analyze semidefinite relaxation-based locational marginal prices (RLMPs) for real and reactive power in electricity markets. Our analysis reveals that when the nonconvex economic dispatch problem has zero duality gap, the RLMPs exhibit properties similar to locational marginal prices with linearized power flow equations. Otherwise, they behave similarly to convex hull prices. Restricted to radial distribution networks, RLMPs reduce to second-order cone relaxation-based distribution locational marginal prices. We illustrate our theoretical results on numerical examples. We also investigate and analyze properties of convex relaxation-based prices to compensate for distributed energy resources (DERs) connected to a radial distribution grid. Our main contribution is the identification of sufficient conditions under which this distribution locational marginal pricing (DLMP) mechanism supports an efficient market equilibrium and is revenue adequate. We illustrate our analysis through examples.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2022-12-01","The student, Anna Winnicki, accepted the attached license on 2020-07-30 at 18:47.","The student, Anna Winnicki, submitted this Thesis for approval on 2020-07-30 at 19:00.","This Thesis was approved for publication on 2020-08-03 at 14:31.","DSpace SAF Submission Ingestion Package generated from Vireo submission #15761 on 2021-03-04 at 16:29:53","Made available in DSpace on 2021-03-05T21:45:04Z (GMT). No. of bitstreams: 2 WINNICKI-THESIS-2020.pdf: 903011 bytes, checksum: adfc17e59e6773b8f01ff10af31bd471 (MD5) LICENSE.txt: 4210 bytes, checksum: 052d36d48f3baf066abe5f60da717a6a (MD5) Previous issue date: 2020-08-03","Embargo set by: Seth Robbins for item 117255 Lift date: 2023-03-05T21:45:47Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Embargo set by: Seth Robbins for item 117255 Lift date: 2023-03-05T21:47:41Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system","Author requested closed access (OA after 2yrs) in Vireo ETD system","Limited"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/109550"],"dc:language":["en"],"dc:rights":["Copyright 2020 Anna Winnicki"],"dc:subject":["Convex relaxation","electricity markets","locational marginal prices","revenue adequacy","efficient market equilibrium"],"dc:title":["Convex relaxation based locational marginal prices for electricity markets"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:50Z"}