| Summary: | 碩士 === 國立海洋大學 === 電子工程學系 === 82 === The main purpose of this thesis is to report the application of
fuzzy modeling to the representation of magnetization curves
and hysteresis loops of transformers. The transformer, which
plays an important role in the transmission of electric energy,
is made of ferromagnetic materials for which the magnetization
curve and hysteresis loop are the most fundamental characteris-
tics. It is difficult to find the mathematical representation
of the high nonlinearity due to saturation of the material.
Based on the concepts of fuzzy sets and the specific features
of magnetization curves and hysteresis loops, this thesis tries
to apply the method of fuzzy modeling to the mathematical
representation of magnetization curves and hysteresis loops.
First the original data are grouped into some clusters using
hierarchical cluster analysis. Then a membership function is
defined for each cluster to make a fuzzy partition of the input
domain, and the method of least squares approximation is used
for curve fitting of each cluster. Numerical examples are
demonstrated to show the validyt of the presented method.
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