Application of weighted ideal point method to environmental/economic load dispatch

Abstract

This paper proposes a novel environmental/economic load dispatch model by considering the fuel cost and emission functions with uncertain coefficients and the constraints of a ramp rate. The uncertain coefficients are represented by fuzzy numbers, and the model is known as fuzzy dynamic environmental/economic load dispatch (FDEELD) model. A novel weighted ideal point method (WIPM) is developed to solve the FDEELD problem. The FDEELD problem is first converted into a single objective fuzzy nonlinear programming by using the WIPM. A hybrid evolutionary algorithm with quasi-simplex techniques is then used to solve the corresponding single objective optimization problem. A method of disposing constraint and a fuzzy number ranking method are also applied to compare fuzzy weighted objective function values of different points. Experimental results show that FDEELD model is more practical; the algorithm and techniques proposed are efficient to solve FDEELD problems. © Springer-Verlag Berlin Heidelberg 2006.