The authors would like to acknowledge the financial support provided by the National Natural Science Foundation of China (Grant no. 51678226), the Natural Science Foundation of Hunan Province (Grant nos. 2023JJ30110; Grant nos. 2021JJ50147; Grant nos. 2021 [51678226]; National Natural Science Foundation of China [2023JJ30110, 2021JJ50147, 2021JJ30078]; Natural Science Foundation of Hunan Province [2019YR02, 2020YR02]; Science and Technology Innovation Project of Yiyang City [PKLHD202005]; Open Research Foundation of Hunan Provincial Key Laboratory of Key Technology on Hydropower Development