Solving Optimal Capacitor Placement Problem Using Improved Bi-Strategy Differential Evolutionary Algorithm Considering Varying Load Conditions

摘要

In this paper, an Improved Bi-Strategy Differential Evolutionary (IBSDE) algorithm has used to find optimal location and size of capacitor banks in radial distribution network. The IBSDE has been obtained by applying several improvements on original Differential Evolutionary (DE) algorithm. These improvements have been done on mutation operator and adding migration to escape from local optima point. To solve Optimal Capacitor Placement (OCP) problem, objective function has been formulated as a maximum annual cost saving. In addition to cost, three main parameters have been considered as decision criteria; i.e. active power loss, minimum voltage of network and total capacitor instillation. In this study, three load levels have been regarded as; i.e. constant, varying and effective loads. The Proposed BSIDE has been carried out on two standard and a realistic distribution networks test systems. The standard systems are IEEE 10-bus and 34-bus radial distribution systems and actual system is 73-bus Kian-Pars region of Ahvaz city in south of Iran. To demonstrate the effectiveness as well as reliability of the proposed algorithm, obtained results is compared with the other recently represented method results and original DE algorithm. Finally, two statistical indexes i.e. absolute percentage error and symmetric mean absolute percentage error is introduced to illustrate robust performance of the proposed IBSDE algorithm for the solution of the OCP problem that of other recently reported methods.