AN INNOVATIVE TECHNIQUE FOR DESIGN OPTIMIZATION OF CORE TYPE 3-PHASE DISTRIBUTION TRANSFORMER USING MATHEMATICA

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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