Study of an Economic Dispatch by Fletcher and Broyden Method

In this paper, we will compare two methods of optimization of an objective function that derive from quasi-Newtonian methods. Both methods, the Fletcher and the Broyden method will be applied to a cost-effective dispatching on an IEEE 30 Bus system. We used two cases: the first one is to keep total power losses constant and the second case where a formulation of total power losses as a function of the power generated in linear form has been applied. The global optimal cost is practically the same for both methods, whereas for the second case, the Broyden method gives a better overall optimal cost and a minimization of total active losses of about 30 % for both methods A study of influence of the penalty factor on global optimal cost and total power losses was made.