Arithmetic optimization algorithm based on elementary function disturbance for solving economic load dispatch problem in power system

The objective of economic load dispatch (ELD) is to minimize the overall cost of generation under the premises of meeting the load demand and satisfying different operational constraints. A new improved Arithmetic Optimization Algorithm (AOA) based on elementary function disturbance was proposed to solve ELD problems. Math optimizer accelerated (MOA) and math optimizer probability (MOP) are two important parameters in the original AOA. Ten six elementary functions were adopted, which are sine function, tangent function, hyperbolic secant function, power function, hyperbolic cosecant function and arc-cosine function. Adding the disturbance generated by six elementary functions respectively on the original MOA and MOP parameters can effectively balance the exploration and exploitation ability of AOA, enhance the global search ability, avoid falling into local optimization, and improve the convergence speed of AOA. Then the original AOA was compared with 6 variants by using 23 benchmark functions in CEC-2005, and selected the best improved method. Next, some intelligent optimization algorithms with better performance in optimizing CEC-2005 benchmark functions are adopted to carry out the simulation experiments with the improved AOA to verify its superiority. Finally, three ELD problem cases including valve point effect, prohibited operation area, transmission loss and other factors are selected with a total demand of 1263 MW, 2500 MW and 10,500 MW respectively. The AOA based on elementary function disturbance was used to solve these three ELD problems. Experimental results show that the proposed AOA has the best performance in solving ELD problems.