arXiv:2603.16879eess.SYcs.AI2026-03

用图注意力网络实时预测电网电压与发电量,支持跨系统迁移和持续学习。

PowerModelsGAT-AI: Physics-Informed Graph Attention for Multi-System Power Flow with Continual Learning

  • 融合物理规律的图注意力模型,按节点类型动态处理不同母线。
  • 在14个系统上平均电压误差仅0.89%,角度拟合度R²超0.99。
  • 持续学习策略有效防止新任务遗忘,误差增加低于2%。

实时求解交流潮流方程对电网安全运行至关重要,但传统牛顿-拉夫逊算法在系统受压时速度慢。现有图神经网络通常仅针对单一系统训练,泛化能力差。本文提出PowerModelsGAT-AI,一种融合物理规律的图注意力网络,用于预测母线电压和发电机出力。模型采用母线类型感知的掩码机制处理不同母线类型,并通过学习权重平衡多种损失项(包括功率不匹配惩罚)。我们在14个基准系统(4至6,470个母线)上评估该模型,在13个系统上联合训练,考虑N-2(两支路断开)条件,电压幅值平均归一化绝对误差为0.89%,电压相角拟合度R² > 0.99。我们还验证了持续学习:当将基线模型适配至新的1,354母线系统时,标准微调导致基线系统误差上升超过1000%,而采用经验回放与弹性权重固化策略后,误差增长控制在2%以内,甚至在部分情况下提升基线性能。可解释性分析显示,学习到的注意力权重与物理参数相关(电纳:r=0.38;热限:r=0.22),特征重要性分析也表明模型捕捉到了已知的潮流关系。

原文摘要 · Abstract (English)

Solving the alternating current power flow equations in real time is essential for secure grid operation, yet classical Newton-Raphson solvers can be slow under stressed conditions. Existing graph neural networks for power flow are typically trained on a single system and often degrade on different systems. We present PowerModelsGAT-AI, a physics-informed graph attention network that predicts bus voltages and generator injections. The model uses bus-type-aware masking to handle different bus types and balances multiple loss terms, including a power-mismatch penalty, using learned weights. We evaluate the model on 14 benchmark systems (4 to 6,470 buses) and train a unified model on 13 of these under N-2 (two-branch outage) conditions, achieving an average normalized mean absolute error of 0.89% for voltage magnitudes and R^2 > 0.99 for voltage angles. We also show continual learning: when adapting a base model to a new 1,354-bus system, standard fine-tuning causes severe forgetting with error increases exceeding 1000% on base systems, while our experience replay and elastic weight consolidation strategy keeps error increases below 2% and in some cases improves base-system performance. Interpretability analysis shows that learned attention weights correlate with physical branch parameters (susceptance: r = 0.38; thermal limits: r = 0.22), and feature importance analysis supports that the model captures established power flow relationships.

电力系统图神经网络持续学习物理信息

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