动态规划模型在灌溉泵站群布局优化中的应用

Application of dynamic programming model in layout optimization of irrigation pumping stations group

针对具有耦合约束的多维动态规划模型提出了一种改进的递推方法,即改变相应各阶段对应状态变量的离散范围,以达到降维的目的。以灌溉泵站群总能耗最小为目标函数,以农田灌溉和河道引水能力为约束条件,对动态规划模型进行了求解,确定开机灌溉的泵站组合,并据此对灌溉泵站群及配套渠系的布局进行了调整。结果显示,采用此方法布局的泵站群,既能满足农田灌溉供水及河道最小生态流量的要求,又能使整个泵站群的耗能率最小。

For the multidimensional dynamic programming model with the coupling constraint,we proposed an improved recursive method that changes discrete range of state variables in each stage,so as to achieve the purpose of dimension reduction.Taking the minimum energy consumption as objective function,and the irrigation and river diversion ability as constraint condition,we solved the dynamic programming model and defined the irrigation pumping stations group,as well as adjusted the layout of the pumping stations group and the related canals accordingly.The result show that the relocated pumping stations group can satisfy the requirement of irrigation water and the minimum ecological flow of the river,and can minimize the pumping stations group power consumption.