耦合调峰与通航需求的梯级水电站群短期多目标优化调度的MILP方法

MILP method for multi-objective short-term optimal scheduling of cascaded hydropower stations coupling peak-shaving and navigation demands

电网调峰任务与河道通航需求间的矛盾是水电航运梯级调度时所面临的突出问题,区间回水的顶托作用增大了该问题的复杂性。建立考虑回水影响的梯级水电站群短期多目标优化调度的混合整数线性规划模型,模型以剩余负荷平均距与下游尾水位平均距最小为目标,在将非线性约束通过函数聚合后,利用六面体栅格化技术与第二类特殊有序集约束方法实现该约束的线性化。利用法线边界交叉方法对模型进行求解。算例结果表明,所提方法可以充分计及回水顶托的影响,兼顾调峰与通航需求,高效求解多目标调度问题并获得较理想的结果。

The contradiction between the peak-shaving task of power grid and the demand of river naviga⁃tion is a critical problem faced by the cascaded hydropower stations with navigation tasks when scheduling,and the jacking effect of interval backwater increases the complexity of the problem.A mixed-integer linear programming model for multi-objective short-term optimal scheduling of cascaded hydropower stations is established considering the backwater influence,which takes the minimum average distances of remaining load and downstream tail water level as the objectives.After the nonlinear constraints are aggregated by the function,the constraints are linearized by the hexahedral grid technology and the second kind special ordered set constraint method.The normal boundary intersection method is used to solve the model.Example results show that the proposed method can fully consider the influence of backwater jacking,consider both the peak shaving and navigation requirements,efficiently solve the multi-objective scheduling problem and obtain ideal results.