In this paper, the problem of economic dispatch (ED), which is a problem with a nonlinear cost function, is solved using the proposed method. The ED problem, in addition to having a nonlinear function, also has a series of equal and unequal constraints that must be respected. Another important consideration when generating energy by power plants is, in addition to the cost, the issue of polluting the environment. In other words, in order to provide the power needed by consumers, in this issue two goals, reducing production costs and reducing the amount of emission, can be raised. This article covers all of the above issues. In this paper, an ultra-innovative algorithm is proposed to solve the problem. The proposed algorithm is based on the Particle Swarm Optimization algorithm. The proposed method is implemented on the systems under study with different conditions and the results obtained by AMPSO method are evaluated by other methods such as SA, NSGA-II and NSGA-III. The results show that the AMPSO produces optimal or nearly optimal solutions for the study systems.
economic dispatch, emission dispatch, multi-objective, Particle Swarm optimization
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