arXiv:2412.18003eess.SYcs.AI2024-12

整合学习与优化,实时应对电力市场拥堵与盈利难题

Integrated Learning and Optimization for Congestion Management and Profit Maximization in Real-Time Electricity Market

  • 联合学习与优化,同步求解负荷与线路潮流分布因子
  • 显著降低市场事后惩罚与线路拥堵,提升经济运行效率
  • 适合电力系统调度与市场设计研究者参考

我们提出新型集成学习与优化(ILO)方法,用于解决经济调度(ED)和直流最优潮流(DCOPF)问题,以实现更优的经济运行。在ED中,负荷为未知参数;在DCOPF中,负荷和功率转移分布因子(PTDF)矩阵为未知参数。PTDF表征区域间功率交换引起的线路有功功率增量变化,是输电线路潮流的线性化近似。本文通过ED与DCOPF模型,构建ILO框架,以捕捉实时电力市场与线路拥堵行为,训练后悔函数,进而推断各母线未知负荷及线路PTDF矩阵,达成事后惩罚最小化与线路拥堵缓解目标。实验对比了顺序学习与优化(SLO)方法,后者侧重负荷与PTDF预测精度而非经济运行。结果表明,ILO在降低市场事后惩罚与线路拥堵方面表现更优,显著提升经济运行水平。

原文摘要 · Abstract (English)

We develop novel integrated learning and optimization (ILO) methodologies to solve economic dispatch (ED) and DC optimal power flow (DCOPF) problems for better economic operation. The optimization problem for ED is formulated with load being an unknown parameter while DCOPF consists of load and power transfer distribution factor (PTDF) matrix as unknown parameters. PTDF represents the incremental variations of real power on transmission lines which occur due to real power transfers between two regions. These values represent a linearized approximation of power flows over the transmission lines. We develop novel ILO formulations to solve post-hoc penalties in electricity market and line congestion problems using ED and DCOPF optimization formulations. Our proposed methodologies capture the real-time electricity market and line congestion behavior to train the regret function which eventually train unknown loads at different buses and line PTDF matrix to achieve the afore-mentioned post-hoc goals. The proposed methodology is compared to sequential learning and optimization (SLO) which train load and PTDF forecasts for accuracy rather than economic operation. Our experimentation prove the superiority of ILO in minimizing the post-hoc penalties in electricity markets and minimizing the line congestion thereby improving the economic operation with noticeable amount.

电力系统优化学习市场机制

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