Fuzzy bi-objective decision method for dispatch of electrical power load

A fuzzy bi-objective decision approach is presented to solve the power dispatch problem regarding both minimum fuel cost and minimum environmental impact of NO_x emission. Based on the fuzzy utility functions of system operators and a fuzzy satisfaction-maximizing scheme, a set of non-inferior solutions are obtained. For each non-inferior solution, the associated marginal rate of substitution (MRS) is then calculated to help the operators more rationally determine the weight factors of the objectives considered and hence the final best compromise solution. Numerical results of the IEEE 30-bus test systems are presented to demonstrate the proposed fuzzy bi-objective decision approach.