2026-09-19T14:23:12Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/31925 2023-07-10 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Jin, Jianming Chen, Peng 2012-06-27T21:19:41Z 2014-06-28T10:00:19Z 2012-05 2012-06-27T21:19:41Z 2012-05 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 Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-24T21:28:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: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 http://hdl.handle.net/2142/31925 en Copyright 2012 Peng Chen time-domain finite-element method electric machine Application of the time-domain finite-element method to analysis of 3D electric machine problems text Electrical & Computer Eng 1933 Electrical & Computer Engr 1200 University of Illinois at Urbana-Champaign Thesis M.S. MS:Electr & Computer Eng-UIUC 10KS1200MS