arXiv:2605.31070cs.LGcs.GT2026-05

用强化学习优化电网调频投标,兼顾稳定与波动市场表现

Learning to Bid in FCR Markets: A Best-of-Both-Worlds Approach

论文配图:Learning to Bid in FCR Markets: A Best-of-Both-Worlds Approach
图 1 · 摘自论文原文
  • 将多国调频投标重构为组合半赌盘在线学习问题
  • 在随机环境下实现对数级伪后悔,在对抗环境中达√T后悔界
  • 适合调频产品稳定的电力供应商,实测优于传统基线

在欧洲频率控制储备(FCR)市场中,灵活性提供商面临竞标信息不透明、仅能获取部分反馈(如成交价和中标量)的挑战。针对单一国家参与者的场景,本文将多国FCR出清问题重构成一个面对内生对手出价向量的重复多单位统一定价拍卖。这一重构使问题转化为在线学习任务,并可采用适用于标准市场反馈的‘最佳双面世界’组合半赌盘算法。该方法在随机环境中实现对数级伪后悔,在对抗环境中达到𝒪(√T)后悔界。合成实验验证了预期的缩放性能;基于历史欧洲FCR数据的回测表明,该方法在稳定产品上表现优异,而EXP3类基线在强非平稳条件下更具稳健性。总体而言,结果表明:当学习规则匹配产品级市场稳定性时,基于学习的投标策略具有理论基础且实践有效。

原文摘要 · Abstract (English)

Bidding in the European Frequency Containment Reserve (FCR) market is challenging for flexibility providers because competing offers are hidden and bidders observe only partial feedback form the market, such as, clearing price and awarded quantity. For a participant active in a single country, we show that the multi-country FCR clearing problem can be recast as a repeated multi-unit uniform-price auction against an endogenous vector of opposing bids. This reformulation yields an online learning problem and allows us to adapt a Best-of-Both-Worlds combinatorial semi-bandit algorithm implementable from this standard market feedback. The resulting bidder achieves logarithmic pseudo-regret in stochastic environments and $\mathcal{O}(\sqrt{T})$ regret in adversarial ones. Synthetic experiments confirm the expected scaling, and backtests on historical European FCR data show competitive performance in practice: the method performs especially well on stable products, while EXP3-type baselines can be safer under stronger non-stationarity. Overall, the results show that learning-based bidding in FCR markets is theoretically grounded and practically useful when the learning rule matches product-level market stability.

电网调度在线学习竞价策略能源市场

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