Solving Economic Dispatch Problem with Piecewise Quadratic Cost Functions Using Lagrange Multiplier Theory

Abstract

This paper presents the solution of economic dispatch (ED) problem of generating units with multiple fuel options based on the Lagrange multiplier theory (LMT). LMT is a conventional and efficient theory used to solve the optimal generation dispatch problem with only one fuel option for each generating unit. Finally, a simple and efficient method has developed based on formulating conventional Lagrange function to solve ED problem with multiple fuel options in this paper. The proposed approach has been examined and tested with the numerical results of ED problems with ten generating units with two or three fuel options. The test results compared to other methods and show the effectiveness of proposed approach for solving ED problems.