Invasive Weed Optimization for Combined Economic and Emission Dispatch Problems

Economic Load Dispatch

The main aim of ELD is to minimize the fuel cost while satisfying the equality and inequality constraints. The objective function considering the valve point effect is formulated as the sum of quadratic and sinusoidal function given by Equation (1).

(1) Where, ‘F(P_Gi)’ is the total fuel cost, ‘a_i’, ‘b_i’, ‘c_i’, ‘e_i’ and ‘f_i’ are the fuel cost coefficient of the i^th generating unit, ‘P_Gimin’ is the minimum Power of the i^th generating unit and ‘P_Gi’ is the Power generated by i^th unit and ‘i’ is given by:i = 1, 2, 3… NWhere, N is the Number of Generating units. ‘e_i’ and ‘f_i’ are not used when valve point effect is neglected as shown in Equation (2).

(2)