Physics‐AI Synergized Optimization‐Learning‐Simulation Framework for Robust Cascade Reservoir Scheduling Under Future Hydrological Uncertainty

Abstract Coordinated optimization of cascade reservoirs is critical for maximizing a river basin's economic, social, and ecological benefits. However, conventional hydropower scheduling lacks adaptability to complex future scenarios, constrained by seasonal hydrological variability and uncertain inflows. While AI algorithms offer new avenues for reservoir operation, bridging the gap between historical runoff‐based prediction and efficient future scheduling remains a key challenge. This study proposes an Optimization–Learning–Simulation (OLS) framework—integrating model‐based, data‐driven, and physics‐informed approaches—to enhance dynamic adaptability and long‐term robustness of cascade reservoir operation under hydrological uncertainty. “Physics‐informed” in the context of reservoir operation refers to the fulfillment of water balance and boundary conditions throughout a complete operational cycle. This means that in the optimization process, the operation of the reservoir must not only aim to maximize scheduling benefits but also ensure basic physical consistency, avoiding violations of the reservoir's physical operational conditions and management requirements. The framework combines optimization (INSGA‐III for multi‐objective optimization, VIKOR for balanced decisions), learning (physics‐informed LSTM with reinforcement learning, PIRLSTM), and simulation (SARIMA for runoff forecasting, Bootstrap/Cholesky for uncertain inflows) to synergize adaptability and robustness. Validated on four mega cascade reservoirs in the lower Jinsha River, the OLS framework learns optimized rules across extreme dry, normal, and extreme wet years. It achieves Nash–Sutcliffe Efficiency (NSE) up to 0.96 and Water Balance Index (WBI) near 1.00, highlighting the framework's superior performance in maintaining physical consistency and predictive accuracy; Simulation results under future runoff scenarios further demonstrate that the OLS framework guarantees scheduling schemes that rigorously comply with reservoir operation boundaries and the fundamental constraint of water balance. Moreover, it effectively identifies and dynamically adjusts scheduling strategies in response to complex hydrological events, including alternating extreme wet–dry sequences and sudden shifts between drought and flood. By integrating artificial intelligence algorithms with hydrological and physical principles, this study offers a novel and practically applicable approach for the coordinated optimization of cascade reservoir operations under complex and uncertain future conditions, bridging theoretical innovation with engineering practice.

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Publication Details

Journal
Water Resources Research
Published
2026-05-01
DOI
https://doi.org/10.1029/2025wr042149
Primary Topic
Water resources management and optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Physics‐AI Synergized Optimization‐Learning‐Simulation Framework for Robust Cascade Reservoir Scheduling Under Future Hydrological Uncertainty

Haotian Wu, Q L Liu, Xi Zhang, Chenye Liu et al.
Water Resources Research
Water resources management and optimization
article

Physics‐AI Synergized Optimization‐Learning‐Simulation Framework for Robust Cascade Reservoir Scheduling Under Future Hydrological Uncertainty

Haotian Wu, Q L Liu, Xi Zhang, Chenye Liu, Jiachen Kong, Zhaoyang Zhu, Zuowen Tan, Zhaocai Wang
article en

Abstract

Abstract Coordinated optimization of cascade reservoirs is critical for maximizing a river basin's economic, social, and ecological benefits. However, conventional hydropower scheduling lacks adaptability to complex future scenarios, constrained by seasonal hydrological variability and uncertain inflows. While AI algorithms offer new avenues for reservoir operation, bridging the gap between historical runoff‐based prediction and efficient future scheduling remains a key challenge. This study proposes an Optimization–Learning–Simulation (OLS) framework—integrating model‐based, data‐driven, and physics‐informed approaches—to enhance dynamic adaptability and long‐term robustness of cascade reservoir operation under hydrological uncertainty. “Physics‐informed” in the context of reservoir operation refers to the fulfillment of water balance and boundary conditions throughout a complete operational cycle. This means that in the optimization process, the operation of the reservoir must not only aim to maximize scheduling benefits but also ensure basic physical consistency, avoiding violations of the reservoir's physical operational conditions and management requirements. The framework combines optimization (INSGA‐III for multi‐objective optimization, VIKOR for balanced decisions), learning (physics‐informed LSTM with reinforcement learning, PIRLSTM), and simulation (SARIMA for runoff forecasting, Bootstrap/Cholesky for uncertain inflows) to synergize adaptability and robustness. Validated on four mega cascade reservoirs in the lower Jinsha River, the OLS framework learns optimized rules across extreme dry, normal, and extreme wet years. It achieves Nash–Sutcliffe Efficiency (NSE) up to 0.96 and Water Balance Index (WBI) near 1.00, highlighting the framework's superior performance in maintaining physical consistency and predictive accuracy; Simulation results under future runoff scenarios further demonstrate that the OLS framework guarantees scheduling schemes that rigorously comply with reservoir operation boundaries and the fundamental constraint of water balance. Moreover, it effectively identifies and dynamically adjusts scheduling strategies in response to complex hydrological events, including alternating extreme wet–dry sequences and sudden shifts between drought and flood. By integrating artificial intelligence algorithms with hydrological and physical principles, this study offers a novel and practically applicable approach for the coordinated optimization of cascade reservoir operations under complex and uncertain future conditions, bridging theoretical innovation with engineering practice.

Water Resources ResearchVol. 62(5)
Chinese Academy of Sciences (CN), Institute of Geographic Sciences and Natural Resources Research (CN), Shanghai Ocean University (CN), Yangzhou University (CN), University of California, Davis (US)
Humanities and Social Science Fund of Ministry of Education of China
Openalex Percentile: Top 6%
Water resources management and optimization
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