A linear Fuzzy Goal Programming Method for Solving Optimal Power Generation and Dispatch Problem

This paper presents how fuzzy goal programming (FGP) method can be efficiently used modeling and solving power generation and dispatch (PGD) problems in power system operation and planning horizon. In the proposed approach, the objectives of a problem involved with optimal power flow computation are considered fuzzy in nature in an uncertain decision environment. In the model formulation of the problem, nonlinear in characteristics of objective functions are first converted into their equivalent linear forms by using Taylor Series approximation technique. Then, the defined fuzzy goals are characterized by their membership functions for measuring the degree of achievement of goal levels of the objectives specified in the decision situation. In the solution process, minsum FGP methodology is addressed to minimize the deviations from the aspired goal levels and thereby to reach a satisfactory decision on the basis of needs and desires of the decision maker (DM) in the decision making context. The power generation problem of the standard IEEE 6-Generator 30-Bus System is considered to illustrate the potential use of the approach.