无模型最大李雅普诺夫指数估计用于PMU数据的在线转子角度稳定性评估
Model-Free MLE Estimation for Online Rotor Angle Stability Assessment with PMU Data
AI总结：
本文提出一种基于递推最小二乘法的无模型最大李雅普诺夫指数估计方法，用于实时评估转子角度稳定性，通过合理选择Theiler窗口和MLE初始时间步长，有效区分不同稳定性条件下的特征曲线。
摘要：
近期研究表明，通过识别系统最大李雅普诺夫指数（MLE）的符号可以评估转子角度稳定性。正（负）MLE表示不稳定（稳定）的转子角度动态。然而，由于在严重扰动后，MLE可能在正负值之间波动很长时间，仅观察到正或负的MLE值而不知道其进一步波动趋势时，难以确定系统稳定性。本文提出了一种新的在线转子角度稳定性评估方法，通过基于实时转子角度测量的递推最小二乘（RLS）方法估计MLE，并精心选择两个关键参数，即Theiler窗口和MLE估计初始时间步长，以确保计算的MLE曲线在不同稳定性条件下具有显著特征。通过使用所提出的稳定性评估标准，所开发的方法能够提供及时且可靠的转子角度稳定性评估。对新英格兰39节点系统和东北电力协调委员会140节点系统的广泛测试验证了所提方法的有效性。
英文摘要：
Recent research has demonstrated that the rotor angle stability can be assessed by identifying the sign of the system maximal Lyapunov exponent (MLE). A positive (negative) MLE implies unstable (stable) rotor angle dynamics. However, because the MLE may fluctuate between positive and negative values for a long time after a severe disturbance, it is difficult to determine the system stability when observing a positive or negative MLE without knowing its further fluctuation trend. In this paper, a new approach for online rotor angle stability assessment is proposed to address this problem. The MLE is estimated by a recursive least square (RLS) based method based on real-time rotor angle measurements, and two critical parameters, the Theiler window and the MLE estimation initial time step, are carefully chosen to make sure the calculated MLE curves present distinct features for different stability conditions. By using the proposed stability assessment criteria, the developed approach can provide timely and reliable assessment of the rotor angle stability. Extensive tests on the New-England 39-bus system and the Northeast Power Coordinating Council 140-bus system verify the effectiveness of the proposed approach.
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