本文根据确定性的水库入流,利用离散微分动态规划法,建立了混联式水电站群动能指标和长期调度最优化的数学模型;较为严格地证明了水库系统方程组的可逆性;并在优化调度模型中,引入了惩罚函数;讨论了目标函数和最优策略的收敛性;且以实例论证了所建立的数学模型和求解方法的有效性。 In this paper, based on deterministic inflow of reservoirs, the discrete dynamic programming method is used to establish the mathematical model of kinetic energy indicators and long-term optimal scheduling of hydropower stations. The reversibility of reservoir system equations is proved more strictly. In the model, the penalty function is introduced. The convergence of the objective function and the optimal strategy is discussed. The effectiveness of the established mathematical model and the solution method is demonstrated by an example.