华中科技大学学报（自然科学版）2026，Vol.54Issue(7)：1-5,5.DOI:10.13245/j.hust.260105
水电运行调度的最优、非劣和均衡解
Optimal,non-inferior and equilibrium solution of hydropower operation scheduling
摘要
Abstract
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.关键词
水电调度/均衡解/高低红线/安全裕度/纳什积Key words
hydropower operation scheduling/equilibrium solution/high-low red lines/safety margin/Nash product分类
建筑与水利引用本文复制引用
张勇传,莫莉,覃晖,蒋志强,李超顺,孙怀卫,汤正阳..水电运行调度的最优、非劣和均衡解[J].华中科技大学学报（自然科学版）,2026,54(7):1-5,5.基金项目
国家自然科学基金资助项目(52379011) （52379011）
中国工程院战略研究与咨询项目(2025-DFZD-01). （2025-DFZD-01）
