AI 中文总结
针对变速抽水蓄能水电运行调度受多种约束挑战的问题，提出随机框架，采用多段投标结构，纳入物理约束，通过基于场景建模表示价格不确定性，经随机MILP生成调度，案例研究证明其可行性与适用性，凸显其价值。
AI 中文摘要
变速抽水蓄能水电（VS - PSH）在竞争激烈的电力市场中提供长期储能及辅助服务，但其运行和调度受水头相关非线性、离散模式转换和能量连续性约束的挑战。本研究提出了一个VS - PSH的随机框架，采用多段投标结构以生成符合市场规则的与市场一致的能量和同步备用报价。该框架在随机混合整数线性规划（MILP）公式中明确纳入了物理约束，包括水头相关能力限制、离散抽水和发电模式以及荷电状态（SoC）和水头动态。通过基于场景的建模方法表示价格不确定性，该方法缩放基本情况价格并允许（充）放电激励的变化。随机MILP产生最优能量和模式调度，在各场景中维持可行的SoC轨迹并确保物理上可行的运行策略。不同价格变化水平下的案例研究证明了所提框架的运行可行性和市场适用性，显示了不确定性下能量套利和备用供应之间的有效协调。这些结果突出了VS - PSH作为电网规模储能资源的运行和经济价值。
英文摘要
Variable-speed pumped storage hydropower (VS-PSH) offers long-duration energy storage alongside ancillary services in competitive electricity markets. However, its operation and scheduling are challenged by head-dependent nonlinearities, discrete mode transitions, and energy-continuity constraints. This study proposes a stochastic framework for VS-PSH that employs a multi-segment bidding structure to generate market-consistent energy and synchronized reserve offers in compliance with market rules. The framework explicitly incorporates physical constraints, including head-dependent capability limits, discrete pumping and generating modes, as well as state-of-charge (SoC) and head dynamics, within a stochastic mixed-integer linear programming (MILP) formulation. Price uncertainty is represented through a scenario-based modeling approach that scales base-case prices and allows variations in (dis)charging incentives. The stochastic MILP produces optimal energy and mode schedules that maintain feasible SoC trajectories across scenarios and ensure physically feasible operating strategies. Case studies under different levels of price variability demonstrate the operational feasibility and market applicability of the proposed framework, showing effective coordination between energy arbitrage and reserve provision under uncertainty. These results highlight the operational and economic value of VS-PSH as a grid-scale energy storage resource.
Comments33 pages, 8 figures, 7 tables
