Application of the time-domain finite-element method to analysis of 3D electric machine problems
Chen, Peng
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https://hdl.handle.net/2142/31925
Description
Title
Application of the time-domain finite-element method to analysis of 3D electric machine problems
Author(s)
Chen, Peng
Issue Date
2012-06-27T21:19:41Z
Director of Research (if dissertation) or Advisor (if thesis)
Jin, Jianming
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(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.
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