灌溉水库宽浅型优化调度目标函数改进及应用

对于灌溉水量时程分配问题,由于需水过程不均匀且时程关联性较强,采用宽浅型优化调度模型解决更加合理。根据宽浅型目标的含义,解析分析了缺水率平方和最小的目标函数。结果表明,该目标函数并不能得到缺水率均匀的供水过程,缺水率与需水量成正比;借鉴缺水率平方和最小目标函数的基本形式,考虑水量平衡约束,构建拉格朗日函数,导出了能得到缺水率均匀的新目标函数;考虑到农作物不同生育期的缺水敏感性不同,引入水分敏感系数,构建了加权缺水率均匀目标函数。通过多种来水过程的实例分析,验证了改进目标函数的合理性和有效性。

mprovement and application of objective function of irrigation reservoir optimal operation model based on even shortage water supply hedging rules

An optimal operation model based on the even shortage water supply hedging rules can be used to solve the time history allocation problem in irrigation water quantity because the water demand process is uneven and highly correlated with time histories. The objective function of the minimum square sum of the water deficit ratio was analyzed based on the meaning of an even shortage water supply object. The results show that the objective function cannot obtain a water supply process with an even water deficit ratio, and the water deficit ratio is proportional to water demand. Based on the fundamental form of the objective function of the minimum square sum of the water deficit ratio, and considering the constraint of the water balance, the Lagrangian function was built and a new objective function with an even water deficit ratio was derived. Considering the sensitivity extent of crops in different growth stages, the weighting objective function with an even water deficit ratio was constructed by introducing the water sensitivity coefficient. The improved objective function was validated by analyzing a variety of water process examples.