水电运行调度的最优、非劣和均衡解OA

To address the increasingly pronounced externalities and competitive-cooperative relationships among participating parties,the optimal solution,Pareto solution,and equilibrium solution in hydropower dispatch were analyzed,and their differences and connections in terms of problem attributes,analytical levels,and applicable scenarios were clarified.The optimal solution emphasizes the extremum under a single objective,the Pareto solution characterizes the efficiency frontier among multiple objectives,and the equilibrium solution further reflects the coordination and stability of schemes under multi-stakeholder conditions.On this basis,focusing on the two main dimensions of power generation benefit and water supply security,the paper discusses the boundary-constraining roles of the upper red line for flood control and the lower red line for water supply,and,by introducing safety margins and the Nash product,develops an analytical framework for hydropower equilibrium under dual red-line constraints.This framework offers a new perspective for understanding the relationships among objective coordination,risk constraints,and benefit balancing in hydropower dispatch under complex conditions,and may provide useful references for related theoretical studies and engineering practice.