Distribution systems copper and iron loss minimization by genetic algorithm

This paper proposes a new GA method to minimize distribution system losses including power transformer iron loss. Since the transformer iron loss is approximately proportional to the square of a transformer´s primary voltage, one can minimize the sum of transformer iron loss and line resistive loss by adjusting line voltages and line currents appropriately. Since the problem is formulated as a complex combinatorial optimization problem, it is solved by applying a genetic algorithm (GA) in this paper. Several numerical examples are shown to demonstrate the proposed method.