Optimal Allocation and Sizing of Capacitors to Minimize the Distribution Line Loss and to Improve the Voltage Profile Using Big Bang-Big Crunch Optimization

摘要

In this paper, the Big Bang-Big Crunch (BB-BC) optimization is presented to find the optimal placement and size of capacitors in a distribution system. The BB-BC method is inspired by one of the theories of the evolution of universe. The potentialities of BB-BC are its inherent numerical simplicity, high convergence speed, and easy implementation. The objective function is composed of the line loss and the capacitors investment cost. The bus voltage and the feeder current as constraints are included in the objective function by a constraint penalty factor. To validate the proposed method, the 18-bus IEEE distribution system is used. The proposed method is applied to the problem and its speed and accuracy are studied. The results are compared with pure Binary Particle Swarm Optimization (BPSO), genetic algorithm, and nonlinear programming. It is illustrated in the example that the proposed optimization method is more accurate and particularly more robust than others for the planning of capacitors.