{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-2583"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-2583","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"Reduction of model dimension in nonlinear finite element approximations of electromechanical systems","abstract":"\"A method to reduce the order of finite element based models of electromechanical components is presented. The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction technique that has been documented in existing literature is applied to eliminate linearly dependent states and incorporate winding flux linkage as a state variable. This preliminary reduction eliminates all nodes that are located outside of iron core regions (i.e. only regions in which eddy current exist are preserved). Finally, using the technique proposed, a full FE model (with the preliminary reduction applied) is transformed into a user specified (or error determined) reduced order system using Empirical Eigenvectors (EE)\"--Abstract, page iii.","abstract_html":""A method to reduce the order of finite element based models of electromechanical components is presented. The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction technique that has been documented in existing literature is applied to eliminate linearly dependent states and incorporate winding flux linkage as a state variable. This preliminary reduction eliminates all nodes that are located outside of iron core regions (i.e. only regions in which eddy current exist are preserved). Finally, using the technique proposed, a full FE model (with the preliminary reduction applied) is transformed into a user specified (or error determined) reduced order system using Empirical Eigenvectors (EE)"--Abstract, page iii.","abstract_has_math":false,"creators":["Rutenkroger, Scott Patrick"],"institution":"University of Missouri--Rolla","degree_name":"Ph. D. in Electrical Engineering","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:18:50Z","subjects":["Electrical and Computer Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/1581","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Rutenkroger, Scott Patrick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Citation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Electrical Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electrical and Computer Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/1581"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["\"A method to reduce the order of finite element based models of electromechanical components is presented. The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction technique that has been documented in existing literature is applied to eliminate linearly dependent states and incorporate winding flux linkage as a state variable. This preliminary reduction eliminates all nodes that are located outside of iron core regions (i.e. only regions in which eddy current exist are preserved). Finally, using the technique proposed, a full FE model (with the preliminary reduction applied) is transformed into a user specified (or error determined) reduced order system using Empirical Eigenvectors (EE)\"--Abstract, page iii."]},{"key":"dc:title","label":"Title","values":["Reduction of model dimension in nonlinear finite element approximations of electromechanical systems"]}]}],"canonical_facts":{"dc:creator":["Rutenkroger, Scott Patrick"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["\"A method to reduce the order of finite element based models of electromechanical components is presented. The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction technique that has been documented in existing literature is applied to eliminate linearly dependent states and incorporate winding flux linkage as a state variable. This preliminary reduction eliminates all nodes that are located outside of iron core regions (i.e. only regions in which eddy current exist are preserved). Finally, using the technique proposed, a full FE model (with the preliminary reduction applied) is transformed into a user specified (or error determined) reduced order system using Empirical Eigenvectors (EE)\"--Abstract, page iii."],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/1581"],"dc:subject":["Electrical and Computer Engineering"],"dc:title":["Reduction of model dimension in nonlinear finite element approximations of electromechanical systems"],"dc:type":["Dissertation - Citation"],"thesis:degree_name":["Ph. D. in Electrical Engineering"],"thesis:institution_name":["University of Missouri--Rolla"]},"updated_at":"2026-07-24T03:18:50Z"}