中文摘要：

针对梯级水电站群中期调度水流滞时问题,引入滞时电量概念,建立了梯级水电站群中期调度期末蓄能最大模型;采用基于两阶段次梯度法乘子更新策略的拉格朗日松弛方法进行模型求解,第一阶段通过系数递增策略快速确定乘子初始值,第二阶段采用递减策略加快算法收敛速度。以澜沧江中下游梯级6座水电站群中期优化调度为实例进行仿真,结果表明,所提出的求解方法能提供较好的求解质量;考虑滞时电量能提高水电系统的期末蓄能,中期调度需充分考虑调度结果的后效性。

英文摘要：

In view of the problem of inflow delay in medium-term operation of cascade hydropower stations, a concept of delayed energy is introduced, and a stored energy maximization model was constructed for the end of the operation period. A Lagrange relaxation method based on a two-stage subgradient algorithm used to update multipliers is proposed to solve the model. In the first stage, the initial multipliers are rapidly determined by increasing coefficients gradually. In the second stage, the convergence speed is increased by decreasing coefficients gradually. The proposed model and solution method were applied to medium-term optimal operation of six hydropower stations located in the middle and lower reaches of the Lancang River. The results show that the proposed method can obtain good solutions, considering delayed energy can increase stored energy of the hydropower system for the end of the operation period, and the post-effect of medium-term operation should be considered sufficiently.