Optimal Design of Transformer using Tournament Selection based Elitist Genetic Algorithms

Transformers are vital components of power systems and its design requires reliable and rigorous solution methods. Optimal design of transformer involves determination of design variables to optimize a particular objective, satisfying a set of constraints. This paper addresses the problem of optimal transformer design of a three phase core type distribution transformer using Elitist Genetic Algorithms. Two MATLAB programs have been developed to accomplish the task. The first program implements unconstrained minimization of the following four objective functions: total active part cost, total losses, percentage impedance and transformer tank volume using GA; while second program considers both GA and conventional method to minimize the active part cost while simultaneously satisfying BEE (Bureau of Energy Efficiency) standards and constraints. After performing exhaustive analysis and comparing the results with those obtained by conventional method it is concluded that the results obtained by Tournament Selection based Elitist Genetic Algorithm is near optimum. A design example on a 100 kVA, three phase core type distribution transformer using GA and conventional method is presented for illustration.