Optimization of Wind-Thermal Economic-Emission Dispatch Problem using NSGA-III

Economic-emission dispatch (EED) of an electric power system can be considered as one of the most popular constrained multi-objective problems. In this paper the EED is formulated as a many-objective optimization problem with that consider the minimization of cost of thermal fuels, wind generation, greenhouse gas emission, and active power losses in transmission lines, satisfying physical and operational constraints of the system. To solve the EED problem with incorporate renewable power generations, a version of constrained many-objective optimization algorithm called non- dominated sorting genetic algorithm-III (NSGA-III) is proposed. The NSGA-III is based on reference points and explores the dominance relation criterion based on the constraints violation to select the new generation. To validate the efficiency and robustness of the proposed EED model and solution technique, results and analysis of the simulations with the IEEE-30 test system are presented.