{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/20785"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/20785","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Dynamics of power systems at critical load levels","abstract":"In this thesis, eigenvalue algorithms used in the commercial software packages (AESOPS and PEALS) to analyze low frequency oscillations in large scale power systems have been explained in terms of commonly understood iterative schemes. These algorithms have been extended to include the calculation of any desired system mode. Next, the voltage instability problem has been addressed from a dynamic viewpoint in the context of critical modes of the linearized system matrix. The eigenvalue algorithms have been used to establish a correspondence between the critical modes and certain system states. Two case studies have been performed to analyze the dynamic nature of the voltage problem. Finally, Hopf bifurcation theory has been used to analyze the nonlinear power system at critical load levels.","abstract_html":"In this thesis, eigenvalue algorithms used in the commercial software packages (AESOPS and PEALS) to analyze low frequency oscillations in large scale power systems have been explained in terms of commonly understood iterative schemes. These algorithms have been extended to include the calculation of any desired system mode. Next, the voltage instability problem has been addressed from a dynamic viewpoint in the context of critical modes of the linearized system matrix. The eigenvalue algorithms have been used to establish a correspondence between the critical modes and certain system states. Two case studies have been performed to analyze the dynamic nature of the voltage problem. Finally, Hopf bifurcation theory has been used to analyze the nonlinear power system at critical load levels.","abstract_has_math":false,"creators":["Rajagopalan, Chithra"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Sauer, Peter W."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:49:13Z","date_published":"2011-05-07T12:49:13Z","updated_at":"2026-07-22T22:25:16Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1989 Rajagopalan, Chithra"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9010994","(UMI)AAI9010994"],"render_values":[{"text":"AAI9010994","href":null,"code":true},{"text":"(UMI)AAI9010994","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/20785","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sauer, Peter W."]},{"key":"dc:creator","label":"Author","values":["Rajagopalan, Chithra"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:49:13Z","10000-01-01","1989"]},{"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":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Rajagopalan, Chithra"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9010994","(UMI)AAI9010994","http://hdl.handle.net/2142/20785"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, eigenvalue algorithms used in the commercial software packages (AESOPS and PEALS) to analyze low frequency oscillations in large scale power systems have been explained in terms of commonly understood iterative schemes. 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