Short-Term Operation Optimization of Cascade Hydropower Reservoirs with Linear Functional Analysis

In the operation optimization of cascade hydropower reservoirs, upstream reservoir outflow is usually taken as downstream reservoir inflow, which influences generation scheme accuracy when flow time-lag cannot be neglected. In this study, based on linear space mapping and bounded linear functional theory, the relationship between upstream reservoir outflow and downstream reservoir inflow is quantized. Their corresponding map functions and functional operators are proposed considering river channel storage capacity. Additionally, a short-term generation optimization model of cascade hydropower reservoirs considering flow time-lag is established, with no impact on the objective function and water balance. Furthermore, to verify the feasibility and effectiveness of the model, it is applied to the short-term generation optimization of Jinping-Guandi cascade hydropower reservoirs in Yalong River. Results tally more with the actual operation process compared with the original scheme. This work can increase generation scheduling accuracy and provide reference for short-term operation of cascade hydropower reservoirs.