具有状态约束的最大值原理在水库调度中的应用

Application of the Maximum Principle with State Constraints to Reservoir Operation

提出采用最优控制理论来描述水库调度中的连续变化特性,建立了水库调度的最优控制模型．利用具有状态约束的最大值原理对模型进行求解,给出了水库调度最优控制策略需要满足的必要条件,分析了不同条件和环境下水库调度最优控制策略的特性和具体表示形式．某具体水库调度问题的数值算例验证了上述方法的有效性．

Optimal control theory is proposed to describe the characteristic of continuous variation in reservoir operation. After constructing the optimal control model of reservoir operation, this paper solves it using the maximum principle with state constraints. A necessary condition of optimal control strategy is presented and the characteristic and expression of optimal control strategy are analyzed under different conditions. A numerical example of a certain reservoir operation indicates validity of the method.