SOLVING THE ECONOMIC DISPATCH PROBLEM OF A TWO-AREA POWER SYSTEM CONSIDERING TRANSMISSION CONSTRAINT USING SEMI-DEFINITE PROGRAMMING

Abstract

This paper presents a method of semi-definite programming approach to solving the economic load dispatch problem in two areas of an electrical power system where tie transmission line capacity is considered as the constraint. The algorithm was developed with some equality and inequality constraints without difficulty for complex cost functions. The simulation was performed in MATLAB environment at four different loads 800, 950, 1030, and 1130 MW. From the results, it is found that the semi-definite programming approach yields a higher-quality solution with better computation efficiency and stable convergence characteristics when compared with the results obtained when the direct search method and enhanced direct search method are used. In addition, it uses some iterations and converges faster. Thus, the semi-definite programming approach gives the best result in terms of total cost minimization (reduced fuel cost and power loss) when compared with other methods referenced in this work