{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69387"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69387","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Decoupled Stability Analysis of Power Systems With Slow and Fast Dynamics","abstract":"This thesis deals with the stability analysis of large-scale power systems with strong and weak interconnections. The system dynamical model belongs to the class of two-time-scale, nonlinear, singularly perturbed systems. Through a near-identity coordinate transformation, the slow and fast dynamics are partially decoupled, allowing for independent stability studies in the slow and fast subspaces. The decoupled subsystems can be physically interpreted as smaller size power systems. On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the decoupled stability analysis method as compared to that for the system wide stability analysis methods.","abstract_html":"This thesis deals with the stability analysis of large-scale power systems with strong and weak interconnections. The system dynamical model belongs to the class of two-time-scale, nonlinear, singularly perturbed systems. Through a near-identity coordinate transformation, the slow and fast dynamics are partially decoupled, allowing for independent stability studies in the slow and fast subspaces. The decoupled subsystems can be physically interpreted as smaller size power systems. On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the decoupled stability analysis method as compared to that for the system wide stability analysis methods.","abstract_has_math":false,"creators":["Othman, Hisham A."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Pai, M.A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:05:30Z","date_published":"2014-12-15T19:05:30Z","updated_at":"2026-07-22T22:26:00Z","subjects":["Engineering, Electronics and Electrical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8815401"],"render_values":[{"text":"(UMI)AAI8815401","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69387","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Pai, M.A."]},{"key":"dc:creator","label":"Author","values":["Othman, Hisham A."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:05:30Z","10000-01-01","1988"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"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":["Engineering, Electronics and Electrical"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/69387","(UMI)AAI8815401"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis deals with the stability analysis of large-scale power systems with strong and weak interconnections. The system dynamical model belongs to the class of two-time-scale, nonlinear, singularly perturbed systems. Through a near-identity coordinate transformation, the slow and fast dynamics are partially decoupled, allowing for independent stability studies in the slow and fast subspaces. The decoupled subsystems can be physically interpreted as smaller size power systems. On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the decoupled stability analysis method as compared to that for the system wide stability analysis methods.","Made available in DSpace on 2014-12-15T19:05:30Z (GMT). No. of bitstreams: 1 8815401.pdf: 4123166 bytes, checksum: 2063ccb636590a2043dd612370017f42 (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 69553 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","158 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."]},{"key":"dc:title","label":"Title","values":["Decoupled Stability Analysis of Power Systems With Slow and Fast Dynamics"]}]}],"canonical_facts":{"dc:contributor":["Pai, M.A."],"dc:creator":["Othman, Hisham A."],"dc:date":["2014-12-15T19:05:30Z","10000-01-01","1988"],"dc:description":["This thesis deals with the stability analysis of large-scale power systems with strong and weak interconnections. The system dynamical model belongs to the class of two-time-scale, nonlinear, singularly perturbed systems. Through a near-identity coordinate transformation, the slow and fast dynamics are partially decoupled, allowing for independent stability studies in the slow and fast subspaces. The decoupled subsystems can be physically interpreted as smaller size power systems. On a higher hierarchy, a weighted sum of the Lyapunov functions of the decoupled slow and fast subsystems is used as a Lyapunov function for the original two-time-scale system, thus accounting for the effect of the small coupling terms. Two case studies confirm the improved accuracy of the decoupled stability analysis method as compared to that for the system wide stability analysis methods.","Made available in DSpace on 2014-12-15T19:05:30Z (GMT). No. of bitstreams: 1 8815401.pdf: 4123166 bytes, checksum: 2063ccb636590a2043dd612370017f42 (MD5) Previous issue date: 1988","Embargo set by: Seth Robbins for item 69553 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","158 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988."],"dc:identifier":["http://hdl.handle.net/2142/69387","(UMI)AAI8815401"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Decoupled Stability Analysis of Power Systems With Slow and Fast Dynamics"],"dc:type":["text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:00Z"}