{"id":{"repo_id":"utc","oai_identifier":"oai:scholar.utc.edu:theses-1670"},"canonical_url":"https://search.dev.ndltd.org/etd/utc/oai:scholar.utc.edu:theses-1670","repository":{"repo_id":"utc","name":"University of Tennessee - Chattanooga","base_url":"https://scholar.utc.edu/do/oai/"},"display":{"title":"A novel optimization formulation for the direct computation of the voltage collapse point","abstract":"The knowledge of the critical loading point of a power system is essential to assess its voltage stability condition. This point is traditionally obtained through continuation power flows which are relatively accurate but requires a considerable amount of processing time. In this work, the search for the critical loading point of a certain power system is formulated as a constrained optimization problem which is solved using a robust scheme known as the Dog-leg Trust Region. This technique is mainly characterized by its reliability and fast convergence as it makes advantage of the merits of classical optimization techniques and gets rid of their limitations. The proposed method was examined on several test systems namely the IEEE14, IEEE39, IEEE57, and IEEE118-bus systems. Besides successfully identifying the maximum loading point of these systems the algorithm achieved a considerable saving in processing time when compared to the continuation power flow analysis of PSAT.","abstract_html":"The knowledge of the critical loading point of a power system is essential to assess its voltage stability condition. This point is traditionally obtained through continuation power flows which are relatively accurate but requires a considerable amount of processing time. In this work, the search for the critical loading point of a certain power system is formulated as a constrained optimization problem which is solved using a robust scheme known as the Dog-leg Trust Region. This technique is mainly characterized by its reliability and fast convergence as it makes advantage of the merits of classical optimization techniques and gets rid of their limitations. The proposed method was examined on several test systems namely the IEEE14, IEEE39, IEEE57, and IEEE118-bus systems. Besides successfully identifying the maximum loading point of these systems the algorithm achieved a considerable saving in processing time when compared to the continuation power flow analysis of PSAT.","abstract_has_math":false,"creators":["Elballa, Wafa E."],"institution":"University of Tennessee at Chattanooga","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Eltom, Ahmed H.","Karrar, Abdelrahman A.; Kobet, Gary L.","College of Engineering and Computer Science"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-08-31T07:00:00Z","date_published":"2018-08-31T07:00:00Z","updated_at":"2026-07-24T05:46:51Z","subjects":["Electric power distribution"],"languages":["English","eng"],"rights":[],"rights_urls":["https://rightsstatements.org/page/InC/1.0/?language=en"],"identifier_entries":[]},"links":{"outbound_url":"https://scholar.utc.edu/theses/518","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Eltom, Ahmed H.","Karrar, Abdelrahman A.; Kobet, Gary L.","College of Engineering and Computer Science"]},{"key":"dc:creator","label":"Author","values":["Elballa, Wafa E."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2017-08-01T07:00:00Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-31T07:00:00Z"]},{"key":"dc:publisher","label":"Institution","values":["University of Tennessee at Chattanooga","Chattanooga (Tenn.)"]},{"key":"dc:relation","label":"Dc Relation","values":["Masters Theses and Doctoral Dissertations"]},{"key":"dc:type","label":"Dc Type","values":["Masters theses","Text"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electric power distribution"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["https://rightsstatements.org/page/InC/1.0/?language=en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholar.utc.edu/theses/518"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Dept. of Electrical Engineering","M. S.; A thesis submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Master of Science."]},{"key":"dc:description.abstract","label":"Abstract","values":["The knowledge of the critical loading point of a power system is essential to assess its voltage stability condition. This point is traditionally obtained through continuation power flows which are relatively accurate but requires a considerable amount of processing time. In this work, the search for the critical loading point of a certain power system is formulated as a constrained optimization problem which is solved using a robust scheme known as the Dog-leg Trust Region. This technique is mainly characterized by its reliability and fast convergence as it makes advantage of the merits of classical optimization techniques and gets rid of their limitations. The proposed method was examined on several test systems namely the IEEE14, IEEE39, IEEE57, and IEEE118-bus systems. Besides successfully identifying the maximum loading point of these systems the algorithm achieved a considerable saving in processing time when compared to the continuation power flow analysis of PSAT."]},{"key":"dc:title","label":"Title","values":["A novel optimization formulation for the direct computation of the voltage collapse point"]}]}],"canonical_facts":{"dc:contributor":["Eltom, Ahmed H.","Karrar, Abdelrahman A.; Kobet, Gary L.","College of Engineering and Computer Science"],"dc:creator":["Elballa, Wafa E."],"dc:date":["2017-08-01T07:00:00Z"],"dc:date.available":["2018-08-31T07:00:00Z"],"dc:description":["Dept. of Electrical Engineering","M. S.; A thesis submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Master of Science."],"dc:description.abstract":["The knowledge of the critical loading point of a power system is essential to assess its voltage stability condition. This point is traditionally obtained through continuation power flows which are relatively accurate but requires a considerable amount of processing time. In this work, the search for the critical loading point of a certain power system is formulated as a constrained optimization problem which is solved using a robust scheme known as the Dog-leg Trust Region. This technique is mainly characterized by its reliability and fast convergence as it makes advantage of the merits of classical optimization techniques and gets rid of their limitations. The proposed method was examined on several test systems namely the IEEE14, IEEE39, IEEE57, and IEEE118-bus systems. Besides successfully identifying the maximum loading point of these systems the algorithm achieved a considerable saving in processing time when compared to the continuation power flow analysis of PSAT."],"dc:identifier":["https://scholar.utc.edu/theses/518"],"dc:language":["English","eng"],"dc:publisher":["University of Tennessee at Chattanooga","Chattanooga (Tenn.)"],"dc:relation":["Masters Theses and Doctoral Dissertations"],"dc:rights":["https://rightsstatements.org/page/InC/1.0/?language=en"],"dc:subject":["Electric power distribution"],"dc:title":["A novel optimization formulation for the direct computation of the voltage collapse point"],"dc:type":["Masters theses","Text"]},"updated_at":"2026-07-24T05:46:51Z"}