{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/78592"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/78592","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Architectures and algorithms for voltage control in power distribution systems","abstract":"In this thesis, we propose a hierarchical control architecture for voltage in power distribution networks where there is a separation between the slow time-scale, in which the settings of conventional voltage regulation devices are adjusted, and the fast time-scale, in which voltage regulation through active/reactive power injection shaping is accomplished. Slow time-scale devices will generally be existing hardware, e.g., voltage regulation transformers, which will be dispatched at appropriate time intervals to reduce the wear on their mechanical parts. In contrast, fast time-scale devices are considered to be devices that connect to the grid through power electronics, e.g., photovoltaic (PV) installations. In the slow time-scale control, we propose a method to optimally set the tap position of voltage regulation transformers. We formulate a rank-constrained semidefinite program (SDP), which is then relaxed to obtain a convex optimization that is solved distributively with the Alternating-Direction Method of Multipliers (ADMM). In the fast time-scale control, we propose the following schemes: (i) a feedback-based approach to regulate system voltages, and (ii) an optimization-based approach that maintains the desired operating state through a quadratic program developed from a linear distribution system model. Finally, we showcase the operation of the two time-scale control architecture in an unbalanced three-phase distribution system. The test system in the case studies is derived from the IEEE 123-bus test system and has a high penetration of residential PV installations and electric vehicles (EVs). We provide several examples that demonstrate the interaction between the two time-scales and the impact of the proposed control on component behaviors.","abstract_html":"In this thesis, we propose a hierarchical control architecture for voltage in power distribution networks where there is a separation between the slow time-scale, in which the settings of conventional voltage regulation devices are adjusted, and the fast time-scale, in which voltage regulation through active/reactive power injection shaping is accomplished. Slow time-scale devices will generally be existing hardware, e.g., voltage regulation transformers, which will be dispatched at appropriate time intervals to reduce the wear on their mechanical parts. In contrast, fast time-scale devices are considered to be devices that connect to the grid through power electronics, e.g., photovoltaic (PV) installations. In the slow time-scale control, we propose a method to optimally set the tap position of voltage regulation transformers. We formulate a rank-constrained semidefinite program (SDP), which is then relaxed to obtain a convex optimization that is solved distributively with the Alternating-Direction Method of Multipliers (ADMM). In the fast time-scale control, we propose the following schemes: (i) a feedback-based approach to regulate system voltages, and (ii) an optimization-based approach that maintains the desired operating state through a quadratic program developed from a linear distribution system model. Finally, we showcase the operation of the two time-scale control architecture in an unbalanced three-phase distribution system. The test system in the case studies is derived from the IEEE 123-bus test system and has a high penetration of residential PV installations and electric vehicles (EVs). We provide several examples that demonstrate the interaction between the two time-scales and the impact of the proposed control on component behaviors.","abstract_has_math":false,"creators":["Robbins, Brett Andrew"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Domínguez-García, Alejandro D.","Sauer, Peter W.","Nedich, Angelia","Zhu, Hao"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-07-22T22:32:59Z","date_published":"2015-07-22T22:32:59Z","updated_at":"2026-07-22T22:26:12Z","subjects":["Power Systems","Power Distribution Systems","Voltage Regulation","Optimization","Distributed Optimization","Optimal Power Flow","Convex Relaxation","Distributed Energy Resources"],"languages":["en"],"rights":["Copyright 2015 Brett Andrew Robbins"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/78592","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Domínguez-García, Alejandro D.","Sauer, Peter W.","Nedich, Angelia","Zhu, Hao"]},{"key":"dc:creator","label":"Author","values":["Robbins, Brett Andrew"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-07-22T22:32:59Z","2017-07-23T09:15:32Z","2015-05","2015-03-26","2015-5"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Power Systems","Power Distribution Systems","Voltage Regulation","Optimization","Distributed Optimization","Optimal Power Flow","Convex Relaxation","Distributed Energy Resources"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2015 Brett Andrew Robbins"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/78592"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, we propose a hierarchical control architecture for voltage in power distribution networks where there is a separation between the slow time-scale, in which the settings of conventional voltage regulation devices are adjusted, and the fast time-scale, in which voltage regulation through active/reactive power injection shaping is accomplished. Slow time-scale devices will generally be existing hardware, e.g., voltage regulation transformers, which will be dispatched at appropriate time intervals to reduce the wear on their mechanical parts. In contrast, fast time-scale devices are considered to be devices that connect to the grid through power electronics, e.g., photovoltaic (PV) installations. In the slow time-scale control, we propose a method to optimally set the tap position of voltage regulation transformers. We formulate a rank-constrained semidefinite program (SDP), which is then relaxed to obtain a convex optimization that is solved distributively with the Alternating-Direction Method of Multipliers (ADMM). In the fast time-scale control, we propose the following schemes: (i) a feedback-based approach to regulate system voltages, and (ii) an optimization-based approach that maintains the desired operating state through a quadratic program developed from a linear distribution system model. Finally, we showcase the operation of the two time-scale control architecture in an unbalanced three-phase distribution system. The test system in the case studies is derived from the IEEE 123-bus test system and has a high penetration of residential PV installations and electric vehicles (EVs). We provide several examples that demonstrate the interaction between the two time-scales and the impact of the proposed control on component behaviors.","Submission published under a 24 month embargo labeled 'U of I only', the embargo will last until 2017-05-01","The student, Brett Robbins, accepted the attached license on 2015-03-25 at 14:16.","The student, Brett Robbins, submitted this Dissertation for approval on 2015-03-25 at 14:26.","This Dissertation was approved for publication on 2015-03-26 at 11:59.","DSpace SAF Submission Ingestion Package generated from Vireo submission #7771 on 2015-07-22 at 14:17:09","Made available in DSpace on 2015-07-22T22:32:59Z (GMT). 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Slow time-scale devices will generally be existing hardware, e.g., voltage regulation transformers, which will be dispatched at appropriate time intervals to reduce the wear on their mechanical parts. In contrast, fast time-scale devices are considered to be devices that connect to the grid through power electronics, e.g., photovoltaic (PV) installations. In the slow time-scale control, we propose a method to optimally set the tap position of voltage regulation transformers. We formulate a rank-constrained semidefinite program (SDP), which is then relaxed to obtain a convex optimization that is solved distributively with the Alternating-Direction Method of Multipliers (ADMM). In the fast time-scale control, we propose the following schemes: (i) a feedback-based approach to regulate system voltages, and (ii) an optimization-based approach that maintains the desired operating state through a quadratic program developed from a linear distribution system model. Finally, we showcase the operation of the two time-scale control architecture in an unbalanced three-phase distribution system. The test system in the case studies is derived from the IEEE 123-bus test system and has a high penetration of residential PV installations and electric vehicles (EVs). We provide several examples that demonstrate the interaction between the two time-scales and the impact of the proposed control on component behaviors.","Submission published under a 24 month embargo labeled 'U of I only', the embargo will last until 2017-05-01","The student, Brett Robbins, accepted the attached license on 2015-03-25 at 14:16.","The student, Brett Robbins, submitted this Dissertation for approval on 2015-03-25 at 14:26.","This Dissertation was approved for publication on 2015-03-26 at 11:59.","DSpace SAF Submission Ingestion Package generated from Vireo submission #7771 on 2015-07-22 at 14:17:09","Made available in DSpace on 2015-07-22T22:32:59Z (GMT). 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