{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69284"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69284","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Multi-Time-Scale Modeling and Aggregation of Higher Order Synchronous Machine Models (Power Systems, Reduced, Singular Perturbation)","abstract":"This thesis deals with the reduced order modeling of electric machines and interconnected power systems using singular perturbation and multi-time-scale techniques. First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the heuristic derivation of these models are clarified. Second, these ideas are extended from the single-machine case to the multimachine case. The machine-network interface equation is derived in the case of purely resistive/inductive transmission lines and loads. Third, an approach to the development of dynamic multiarea equivalents incorporating the effects of field flux decays inside the machines is presented. The concept of area field flux is introduced and the mechanisms through which area field fluxes interact with area electromechanical variables are explained by aggregate models describing the slow core of the system. The validity of these models is confirmed by eigenvalue analyses and numerical simulations.","abstract_html":"This thesis deals with the reduced order modeling of electric machines and interconnected power systems using singular perturbation and multi-time-scale techniques. First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the heuristic derivation of these models are clarified. Second, these ideas are extended from the single-machine case to the multimachine case. The machine-network interface equation is derived in the case of purely resistive/inductive transmission lines and loads. Third, an approach to the development of dynamic multiarea equivalents incorporating the effects of field flux decays inside the machines is presented. The concept of area field flux is introduced and the mechanisms through which area field fluxes interact with area electromechanical variables are explained by aggregate models describing the slow core of the system. The validity of these models is confirmed by eigenvalue analyses and numerical simulations.","abstract_has_math":false,"creators":["Said, Ahmed-Zaid"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:04:45Z","date_published":"2014-12-15T19:04:45Z","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)AAI8422144"],"render_values":[{"text":"(UMI)AAI8422144","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69284","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Said, Ahmed-Zaid"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:04:45Z","10000-01-01","1984"]},{"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/2142/69284","(UMI)AAI8422144"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis deals with the reduced order modeling of electric machines and interconnected power systems using singular perturbation and multi-time-scale techniques. First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the heuristic derivation of these models are clarified. Second, these ideas are extended from the single-machine case to the multimachine case. The machine-network interface equation is derived in the case of purely resistive/inductive transmission lines and loads. Third, an approach to the development of dynamic multiarea equivalents incorporating the effects of field flux decays inside the machines is presented. The concept of area field flux is introduced and the mechanisms through which area field fluxes interact with area electromechanical variables are explained by aggregate models describing the slow core of the system. The validity of these models is confirmed by eigenvalue analyses and numerical simulations.","Made available in DSpace on 2014-12-15T19:04:45Z (GMT). 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First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the heuristic derivation of these models are clarified. Second, these ideas are extended from the single-machine case to the multimachine case. The machine-network interface equation is derived in the case of purely resistive/inductive transmission lines and loads. Third, an approach to the development of dynamic multiarea equivalents incorporating the effects of field flux decays inside the machines is presented. The concept of area field flux is introduced and the mechanisms through which area field fluxes interact with area electromechanical variables are explained by aggregate models describing the slow core of the system. The validity of these models is confirmed by eigenvalue analyses and numerical simulations.","Made available in DSpace on 2014-12-15T19:04:45Z (GMT). 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