论文部分内容阅读
本文讨论有发电和灌溉功用的水利系统的最佳调度问题。系统由多年调节水库、可控灌溉水闸和渠网河系组成。水库来水和有关支流来水均假定为马尔柯夫扩散过程,相应地系统状态演变由矢量随机微分方程dx(t)=(A(t)x(t)+B(t)u(t))dt+σdw描述。当以调度期内发电量最多和实际灌溉水量与标准定额灌溉水量偏差最小为目标时,水利系统的最佳调度问题即为线性二次随机最佳控制问题。利用动态规划方法得到了用解析形式表示的系统最佳调度策略。
This article discusses the optimal scheduling of a water system with power generation and irrigation. The system is composed of a multi-year regulation reservoir, a controlled irrigation sluice and a canal network. The runoff from the reservoir and the tributaries are assumed to be Markovian diffusion processes. The corresponding evolution of the system state is represented by the stochastic differential equation dx (t) = (A (t) x (t) + B (t) u (t) ) dt + σdw Description. The optimal scheduling problem of water conservancy system is the linear quadratic stochastic optimal control problem with the aim of minimizing the deviation between the actual irrigation water volume and the standard fixed irrigation water volume during the dispatching period. The dynamic scheduling method is used to get the optimal scheduling strategy of the system.