An extended NSGA-III for solution multi-objective hydro-thermal-wind scheduling considering wind power cost

Highlights: • Multi-objective hydro-thermal-wind scheduling model (MO-HTWS) is establish. • The extra cost in MO-HTWS problem caused by wind uncertainty is considered. • An extended NSGA-III is proposed to solve MO-HTWS problem. • Constraint handling strategies are presented to modify infeasible solutions. • The feasibility and effectiveness of the proposed method is verified by example. - Abstract: Due to the characteristics of clean and renewable, wind power is significant to economic and environmental operation of electric power system so that it attracts more and more attention from researchers. This paper integrates wind power with hydrothermal scheduling to establish multi-objective economic emission hydro-thermal-wind scheduling problem (MO-HTWS) model with considering wind uncertain cost. To solve MO-HTWS problem with various complicated constraints, this paper extends NSGA-III by introducing the dominance relationship criterion based on constraint violation to select new generation. Moreover, the constraint handling strategy which repairs the infeasible solutions by modifying the decision variables in feasible zone according to the violation amount is proposed. Finally, a daily scheduling example of hydro-thermal-wind system is used to test the ability of NSGA-III for solving MO-HTWS problem. It is concluded from the superior quality and good distribution of the Pareto optimal solutions that, NSGA-III can offer an efficient alternative for optimizing MO-HTWS problem