A Study of an Interactive Fuzzy Multi-Objective Optimal Power Flow

Abstract

As the necessity of high quality electric power supply is increasing, it has been required to make up sophisticated power system operations in which several requirements stemming from economy, security and environmental aspects should simultaneously be satisfied. In general, a problem of satisfying several noncommensurable criteria is called a multi-objec-tive optimization problem. Although the most powerful means to obtain desirable system operations is optimal power flow (OPF), a straightforward application of the conventional OPF optimize only one objective and the remaining objectives must be treated as constraints. However, since such objectives are in trade-off relationships each other, it is necessary to develop an efficient multi-objective OPF.
In this paper, we shall propose a solution method of multi-objective OPF by means of fuzzy coordination. In the first step, the degree of satisfaction of Decision Maker on each objective would be maximized with a pre-specified member-ship function. The membership function would be updated in accordance with the DM's preference information and target value of the objective function. The degree of satisfaction will be improved step by step by updating the membership functions. Finally, the saticificing solution for the Decision Maker would be obtained. The proposed method has been applied to the IEEE 57 and 118 test system, producing successful results.