Thermal Economic Dispatch Using Lagrange with Cubic Cost Function

In power generation, one of main problems is how to meet related power demand continually and effectively. As known in field power operation, economic dispatch (ED) is one of the important problems in supplying load demand with minimum cost by summing the output of each generator. This research is trying to propose Lagrange with a cubic cost function to solve the power economic dispatch problem. To assess the perfor-mance of the proposed algorithm, two different cases are simulated, and the output for each case is compared with Lagrange using a quadratic cost function. As the result of Lagrange with the cubic cost function for the first case using the IEEE 6 Bus test system, total costs and total power loss are 2464.080 $/h 7, 768 MW, respectively. In the second case, using the IEEE 30Bus test system, total costs are 575,210 $/h with a total power loss 3, 824 MW.