张玺, 廖胜利, 方舟, 杨化龙, 赵宏烨, 朱喜. 耦合复杂生态约束的梯级水电短期优化调度标准混合整数线性规划模型[J]. 电网技术, 2025, 49(5): 2004-2013. DOI: 10.13335/j.1000-3673.pst.2023.1767
引用本文: 张玺, 廖胜利, 方舟, 杨化龙, 赵宏烨, 朱喜. 耦合复杂生态约束的梯级水电短期优化调度标准混合整数线性规划模型[J]. 电网技术, 2025, 49(5): 2004-2013. DOI: 10.13335/j.1000-3673.pst.2023.1767
ZHANG Xi, LIAO Shengli, FANG Zhou, YANG Hualong, ZHAO Hongye, ZHU Xi. A Short-term Optimal Dispatch MILP Model of Cascade Hydropower Stations Coupled With Complex Ecological Constraints[J]. Power System Technology, 2025, 49(5): 2004-2013. DOI: 10.13335/j.1000-3673.pst.2023.1767
Citation: ZHANG Xi, LIAO Shengli, FANG Zhou, YANG Hualong, ZHAO Hongye, ZHU Xi. A Short-term Optimal Dispatch MILP Model of Cascade Hydropower Stations Coupled With Complex Ecological Constraints[J]. Power System Technology, 2025, 49(5): 2004-2013. DOI: 10.13335/j.1000-3673.pst.2023.1767

耦合复杂生态约束的梯级水电短期优化调度标准混合整数线性规划模型

A Short-term Optimal Dispatch MILP Model of Cascade Hydropower Stations Coupled With Complex Ecological Constraints

  • 摘要: 梯级水电短期调度时需保障各电站下游河段的生态要求,而生态调度的深入研究要求生态约束越来越多样化,使得流域梯级短期优化调度问题愈加复杂。该文首先将生态约束按流量约束和控制方式分为Ⅰ类、Ⅱ类和Ⅲ类,满足梯级库群复杂的生态调度要求;接着以剩余负荷峰谷差最小为目标,构建了耦合复杂生态约束的梯级水电短期日前调峰模型;最后利用分段线性化技术处理一元水力非线性约束,将四边形网格栅格化技术与第二类特殊顺序集(special ordered sets of type 2,SOS2)约束建模方法结合处理二元电力非线性约束,采用大M法对较为复杂的Ⅲ类生态约束进行线性化,将原模型转化为标准混合整数线性规划(mixed-integer linear programming,MILP)模型后进行求解。以乌江干流(贵州段)6座梯级水库为工程背景,在汛枯期不同来水场景下验证了模型的有效性且计算结果较逐次逼近动态规划(dynamic programming successive approximation,DPSA)算法优越性显著,通过与3个参照模型的结果对比分析得出生态约束的设置与类型会明显影响调峰效果,强调水利工程生态流量合理设计的必要性。

     

    Abstract: The short-term scheduling of gradient hydropower needs to guarantee the ecological requirements of the downstream river section of each power station, and the in-depth study of ecological scheduling requires that ecological constraints become more and more diverse, which makes the short-term optimal scheduling problem of basin gradient more and more complicated. In this paper, the ecological constraints are firstly classified into Class Ⅰ, Class Ⅱ, and Class Ⅲ according to the flow constraints and control modes to meet the complex ecological scheduling requirements of the gradient reservoirs; then, the short-term day-ahead peaking model of gradient hydropower coupled with complex ecological constraints is constructed to minimize the peak-to-valley difference of the residual loads; finally, the segmented linearization technique is used to deal with the one-dimensional hydraulic nonlinear constraints, and the quadrilateral mesh gridded technology is used to deal with the binary power nonlinear constraints by combining the special ordered sets of type 2(SOS2) constraint modeling method, and the Big M method is used to linearize the more complex class Ⅲ ecological constraints, then transform the original model into a standard mixed-integer linear programming (MILP) model for solving. Taking the six cascade reservoirs in the mainstream of Wujiang River (Guizhou section) as the engineering background, the validity of the model is verified under different water inflow scenarios in the flood and dry periods, and the computational results are significantly superior to the dynamic programming successive approximation (DPSA) algorithm, through the comparative analysis of the results with the three reference models, it is concluded that the setup and type of ecological constraints will affect the peaking effect, and the necessity of reasonable design of the ecological flow of water conservancy projects is emphasized.

     

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