Optimal Power Flow for Indian 75 Bus System Using Differential Evolution

Abstract

The optimal power flow (OPF) has been commonly used as an efficient tool in the power system planning and operation for many years. OPF is an important tool in modern Energy Management System (EMS). It plays an important role in maintaining the economy of the power system. The problem of OPF subjected to set of equality and inequality constraints was originally formulated in 1962 by Carpentier [1]. The OPF problem is a nonlinear, non-convex, large scale, static optimization problem with both continuous (generator voltage magnitudes and active powers) and discrete (transformer taps and switchable shunt devices) control variables. Even in the absence of discrete control variables, the OPF problem [2] is non convex due to the existence of the nonlinear (AC) power flow equality constraints. The presence of discrete control variables, such as switchable shunt devices, transformer tap positions further complicates the problem solution.