Solving the Economic Load Dispatch Based on NSGA-II and RNSGA-II

Penetration of renewable energy sources (RES) has become very crucial for replacing fossil fuel-based energy with clean energy. However, the main challenges in including RES in power systems are the uncertainty ratio in production and the intermittent nature of generation. These issues cause severe problems in system stability and security for satisfying the load requirements at a reasonable energy cost. Therefore, optimizing the unit allocated power and the total cost are the main two objectives to solve the Economic load dispatch (ELD) problem optimally for satisfying the load demand with the minimum amount of allocated power and, hence minimizing the total cost. Several optimization methods have been used in literature to solve ELD problems including multiobjective functions. However, dealing with objective functions separately causes some conflicts between them. Therefore, this paper presents a new approach to solve the ELD problem based on the non-dominated sorting genetic algorithm II (NSGA-II) and the reference point RNSGA-II. The presented method has been implemented alongside the conventional genetic algorithm (GA) for validation and comparison. Also, it is validated with the particle swarm method for comparing the performance parameters of the new method. The presented method is tested with and without losses considerations. The results showed the superiority of the proposed method as compared with other methods.