An Interval Fuzzy Optimization-Based Technique to Optimal Generation Scheduling with Load Uncertainty

Abstract This paper proposes a fuzzy interval optimization-based approach to solve a well-known power system problem: the Environmental/Economic Dispatch (EED) problem with uncertain parameters in the constraints and the objective functions. The objective functions considered are fuel cost, and the gaseous emissions of the generating units. In the proposed approach, objective functions are fuzzified and integrated to represent the fuzzy decision value. On the other hand, load uncertainties are modeled using fuzzy intervals. This fuzzy EED problem formulation provides modeling flexibility, relaxation in constraints and allows the method to seek a practical solution. The obtained fuzzy multi-objective optimization problem solved using NSGA-II, known for its global searching capabilities, to get the best compromise among all the objectives. The performance of this solution is examined and applied to the standard Indian power network of 82-bus. Different complexities considered in the study reported in this paper.