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Application of the time-domain finite-element method to analysis of 3D electric machine problems

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Title: Application of the time-domain finite-element method to analysis of 3D electric machine problems
Author(s): Chen, Peng
Advisor(s): Jin, Jianming
Department / Program: Electrical & Computer Eng
Discipline: Electrical & Computer Engr
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: M.S.
Genre: Thesis
Subject(s): time-domain finite-element method electric machine
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.
Issue Date: 2012-06-27
URI: http://hdl.handle.net/2142/31925
Rights Information: Copyright 2012 Peng Chen
Date Available in IDEALS: 2012-06-27
Date Deposited: 2012-05
 

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