An Analytical Approach to the Environmental/Economic Dispatch Problem

In this paper an analytical approach is proposed to solving the Environmental/Economic Dispatch problem (EED). The EED is a multiobjective optimization problem (MOP) that has as objectives to minimize the emissions of pollutants and the total fuel cost of meeting the energy requirements of an electrical power network. The Weighted Sum Method is used for the scalarization of the MOP and therefore to find the whole Pareto front. To solve the obtained quadratic programming problem, the Karush-Kuhn-Tucker conditions were used, based on a theoretical condition that allowed us to obtain solutions by solving a system of lineal equations. This strategy was tested on two systems with different number of generators and characteristics. The obtained results were compared with other previously reported elsewhere, showing some evident advantages of our proposal.