An Innovative Technique for Design Optimization of Core Type 3-Phase Distribution Transformer Using Mathematica
2012
In modern Industrial era the demand for electricity is increasing
exponentially with each passing day. Distribution transformer is
the most vital component for efficient and reliable distribution and
utilization of electrical energy. With the increased demand in
energy it has become essential for utilities to expand the capacity
of their distribution networks significantly resulting in tremendous
increase in demand of distribution transformers of various ratings.
So the economic optimization by minimizing the mass of
distribution transformer is of critical importance. This research
paper focuses on the global minimization of the cost function of 3-
phase core type oil immersed distribution transformer. The
methodology used in this research work is based on nonlinear
constrained optimization of the cost function subjected to various
nonlinear equality and inequality constraints. The non-linear
mathematical model comprising of the cost function and a set of
constraints has been implemented successfully by using
Mathematica software which provides a very robust and reliable
computational tool for constrained nonlinear optimization that
ensures the solution of the problem to be the global minimum.
Finally, based on the above mentioned optimization technique, a
25 kVA 3-phase core type distribution transformer has been
designed according to the latest specifications of PEPCO (Pakistan
Electric and Power Company). It is found that the innovative
optimization technique for transformer design that is developed
during this research resulted in considerable cost reduction.
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