用物理约束神经网络精准预测电力系统故障清除极限时间
Event-Structured Physics-Informed Neural Networks for Differentiable Critical Clearing Boundaries

- 按故障前/中/后三阶段建模,强制状态连续衔接
- 误差分析证明其比传统方法更精确,边界提取误差更低
- 适合电力系统稳定评估与实时决策,效率高
暂态稳定性评估用于判断电力系统在扰动后能否恢复,是防止发电机跳闸和级联停电的关键。核心指标为临界清除时间(CCT),即故障清除前维持同步的最大时间。可靠估计CCT面临挑战,因复杂故障清除动态需对多种故障强度和清除时间进行多次仿真。本文提出事件结构化的物理信息神经网络(ES-PINN),其表示与故障前、故障中、故障清除后摇摆动态一致,并在事件界面强制精确状态传递。通过平滑轨迹诱导的稳定性裕度,构建可微分的CCT边界近似,实现准确边界提取、局部敏感性分析,以及可选的直接CCT预测。进一步证明了局部残差-轨迹-CCT误差估计,精确事件链消除独立状态接口缺陷项。在IEEE 9、14、30节点系统上的实验表明,相比匹配的神经代理基线模型,ES-PINN在机械与电气扰动、多种清除配置下,始终提升保留轨迹与稳定性边界精度。额外的全网微分代数方程(DAE)验证、多故障实验与运行时分析进一步证实该框架的有效性与计算效率。
原文摘要 · Abstract (English)
Transient-stability assessment determines whether a power system can recover after a disturbance and is therefore essential to preventing generator trips and cascading outages. A key metric is the critical clearing time (CCT), which specifies the maximum time available to clear a fault before synchronism is lost. Reliable CCT estimation is challenging because complicated fault-clearing dynamics require repeated simulations over many fault severities and clearing times. We propose an event-structured physics-informed neural network (ES-PINN) that aligns its representation with the pre-fault, fault-on, and post-clearing swing dynamics and enforces exact state chaining across event interfaces. A smooth trajectory-induced stability margin defines a differentiable approximation of the CCT boundary, enabling accurate boundary extraction, local sensitivity analysis, and optional direct CCT prediction through a distilled readout. We further prove a local residual-to-trajectory-to-CCT error estimate, in which exact event chaining eliminates separate state-interface defect terms. Experiments on IEEE 9-, 14-, and 30-bus systems show that ES-PINN consistently improves held-out trajectory and stability-boundary accuracy over matched neural-surrogate baselines across mechanical and electrical contingencies with multiple clearing configurations. Additional full-network DAE validation, multi-fault experiments, and runtime analyses further demonstrate the effectiveness and computational efficiency of the proposed framework.
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