Mathematical modeling and computation of a dam–reservoir system balancing environmental management and hydropower generation

Energy Reports

Hidekazu Yoshioka¹ 

[1] Correspondence to: Graduate School of Natural Science and Technology, Shimane University, Nishikawatsu-cho 1060, Matsue, 690-8504, Japan.;

关键词: Dam–reservoir system;    Hydropower generation;    Environmental flow;    Degenerate elliptic equation;   

DOI  :  

来源: DOAJ

【 摘 要 】

We propose a simple but non-trivial mathematical model of a dam–reservoir system balancing between the downstream environmental management and hydropower production. We consider a stochastic control problem of the system to find its balanced operation policy. We point out that finding the optimal policy reduces to solving a nonlinear degenerate elliptic equation. This equation is exactly solvable in a reduced case without hydropower production, while it requires numerical computation in more complicated cases. A demonstrative application example with a high-resolution finite difference scheme is finally presented.

【 授权许可】

Unknown