{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/31925"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/31925","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Application of the time-domain finite-element method to analysis of 3D electric machine problems","abstract":"The motivation of this work is to apply the time-domain finite-element method (TDFEM) to the simulation of 3D electric machine problems. The features of the problems might include low-frequency excitation, high inhomogeneity in the material parameters, complex geometries and nonlinearity in the materials. The proposed formulations and algorithm aim at solving these problems. In this work, starting from time-domain Maxwell’s equations, we firstly derive the A formulation of the time-domain finite-element method. This serves as the basic version of TDFEM which could be used to simulate the simplest linear machine problems. Then, by testing the convergence of a racetrack coil problem, the validity of the linear formulation is verified. Afterwards, the incomplete LU preconditioner and Cuthill-McKee reordering (RCM) technique are introduced to ameliorate the condition of the system matrix. The effects of the material parameters and the RCM algorithm on the system matrix condition are analyzed. Also, the tree-cotree splitting (TCS) technique is applied to solve low-frequency problems. Several examples are simulated and corresponding results are shown to demonstrate the performance of the algorithms. Finally, the model of nonlinear machine problems is shown, and the cubic spline interpolation is employed to obtain a continuous B-H curve from the tabulated measured data. Both the Newton-Raphson method and the fixed-point method are introduced and applied to solve nonlinear machine problems. Some examples are simulated and the preliminary results are shown and discussed.","abstract_html":"The motivation of this work is to apply the time-domain finite-element method (TDFEM) to the simulation of 3D electric machine problems. The features of the problems might include low-frequency excitation, high inhomogeneity in the material parameters, complex geometries and nonlinearity in the materials. The proposed formulations and algorithm aim at solving these problems. In this work, starting from time-domain Maxwell’s equations, we firstly derive the A formulation of the time-domain finite-element method. This serves as the basic version of TDFEM which could be used to simulate the simplest linear machine problems. Then, by testing the convergence of a racetrack coil problem, the validity of the linear formulation is verified. Afterwards, the incomplete LU preconditioner and Cuthill-McKee reordering (RCM) technique are introduced to ameliorate the condition of the system matrix. The effects of the material parameters and the RCM algorithm on the system matrix condition are analyzed. Also, the tree-cotree splitting (TCS) technique is applied to solve low-frequency problems. Several examples are simulated and corresponding results are shown to demonstrate the performance of the algorithms. Finally, the model of nonlinear machine problems is shown, and the cubic spline interpolation is employed to obtain a continuous B-H curve from the tabulated measured data. Both the Newton-Raphson method and the fixed-point method are introduced and applied to solve nonlinear machine problems. Some examples are simulated and the preliminary results are shown and discussed.","abstract_has_math":false,"creators":["Chen, Peng"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Jin, Jianming"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-06-27T21:19:41Z","date_published":"2012-06-27T21:19:41Z","updated_at":"2026-07-22T22:25:30Z","subjects":["time-domain","finite-element method","electric machine"],"languages":["en"],"rights":["Copyright 2012 Peng Chen"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/31925","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jin, Jianming"]},{"key":"dc:creator","label":"Author","values":["Chen, Peng"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-06-27T21:19:41Z","2014-06-28T10:00:19Z","2012-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"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":["time-domain","finite-element method","electric machine"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2012 Peng Chen"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/31925"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The motivation of this work is to apply the time-domain finite-element method (TDFEM) to the simulation of 3D electric machine problems. The features of the problems might include low-frequency excitation, high inhomogeneity in the material parameters, complex geometries and nonlinearity in the materials. The proposed formulations and algorithm aim at solving these problems. In this work, starting from time-domain Maxwell’s equations, we firstly derive the A formulation of the time-domain finite-element method. This serves as the basic version of TDFEM which could be used to simulate the simplest linear machine problems. Then, by testing the convergence of a racetrack coil problem, the validity of the linear formulation is verified. Afterwards, the incomplete LU preconditioner and Cuthill-McKee reordering (RCM) technique are introduced to ameliorate the condition of the system matrix. The effects of the material parameters and the RCM algorithm on the system matrix condition are analyzed. Also, the tree-cotree splitting (TCS) technique is applied to solve low-frequency problems. Several examples are simulated and corresponding results are shown to demonstrate the performance of the algorithms. Finally, the model of nonlinear machine problems is shown, and the cubic spline interpolation is employed to obtain a continuous B-H curve from the tabulated measured data. Both the Newton-Raphson method and the fixed-point method are introduced and applied to solve nonlinear machine problems. Some examples are simulated and the preliminary results are shown and discussed.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-24T21:28:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5)","Made available in DSpace on 2012-06-27T21:19:41Z (GMT). No. of bitstreams: 2 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5) license.txt: 4058 bytes, checksum: c7a23cd86fe422c5f348792c6720d30d (MD5)","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-06-27T21:24:32Z Item is restricted until 2014-06-27T21:24:27Z","Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:19Z Item was in collections: Graduate Theses and Dissertations at Illinois (ID: 204) Dissertations and Theses - Electrical and Computer Engineering (ID: 446) No. of bitstreams: 2 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5) license.txt: 4058 bytes, checksum: c7a23cd86fe422c5f348792c6720d30d (MD5)","Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:19Z"]},{"key":"dc:title","label":"Title","values":["Application of the time-domain finite-element method to analysis of 3D electric machine problems"]}]}],"canonical_facts":{"dc:contributor":["Jin, Jianming"],"dc:creator":["Chen, Peng"],"dc:date":["2012-06-27T21:19:41Z","2014-06-28T10:00:19Z","2012-05"],"dc:description":["The motivation of this work is to apply the time-domain finite-element method (TDFEM) to the simulation of 3D electric machine problems. The features of the problems might include low-frequency excitation, high inhomogeneity in the material parameters, complex geometries and nonlinearity in the materials. The proposed formulations and algorithm aim at solving these problems. In this work, starting from time-domain Maxwell’s equations, we firstly derive the A formulation of the time-domain finite-element method. This serves as the basic version of TDFEM which could be used to simulate the simplest linear machine problems. Then, by testing the convergence of a racetrack coil problem, the validity of the linear formulation is verified. Afterwards, the incomplete LU preconditioner and Cuthill-McKee reordering (RCM) technique are introduced to ameliorate the condition of the system matrix. The effects of the material parameters and the RCM algorithm on the system matrix condition are analyzed. Also, the tree-cotree splitting (TCS) technique is applied to solve low-frequency problems. Several examples are simulated and corresponding results are shown to demonstrate the performance of the algorithms. Finally, the model of nonlinear machine problems is shown, and the cubic spline interpolation is employed to obtain a continuous B-H curve from the tabulated measured data. Both the Newton-Raphson method and the fixed-point method are introduced and applied to solve nonlinear machine problems. Some examples are simulated and the preliminary results are shown and discussed.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-24T21:28:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5)","Made available in DSpace on 2012-06-27T21:19:41Z (GMT). No. of bitstreams: 2 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5) license.txt: 4058 bytes, checksum: c7a23cd86fe422c5f348792c6720d30d (MD5)","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-06-27T21:24:32Z Item is restricted until 2014-06-27T21:24:27Z","Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:19Z Item was in collections: Graduate Theses and Dissertations at Illinois (ID: 204) Dissertations and Theses - Electrical and Computer Engineering (ID: 446) No. of bitstreams: 2 Chen_Peng.pdf: 5744275 bytes, checksum: 071c3c42bd6ff5db7be20810839ccc40 (MD5) license.txt: 4058 bytes, checksum: c7a23cd86fe422c5f348792c6720d30d (MD5)","Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:19Z"],"dc:identifier":["http://hdl.handle.net/2142/31925"],"dc:language":["en"],"dc:rights":["Copyright 2012 Peng Chen"],"dc:subject":["time-domain","finite-element method","electric machine"],"dc:title":["Application of the time-domain finite-element method to analysis of 3D electric machine problems"],"dc:type":["text"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:30Z"}