论文标题
电源系统的快速证书小信号稳定性
A Fast Certificate for Power System Small-Signal Stability
论文作者
论文摘要
秋千方程是在转子角度稳定性评估中使用的大型功率系统动力学模型的组成部分。尽管进行了深入的研究，但仍未完全了解有损挥杆方程的一些基本特性。在本文中，我们开发了足够的条件来证明这些方程的平衡点（EP）的稳定性，并说明了阻尼，惯性和网络拓扑对此类EPS稳定性的影响。拟议的证书适用于实时监控和快速稳定性评估，因为它纯粹是代数，并且可以平行评估。此外，我们提供了一种新颖的方法，可以使用拟议的证书定量测量电网中稳定性的程度。进行了广泛的计算实验，证明了该提案的实用性和有效性。
Swing equations are an integral part of a large class of power system dynamical models used in rotor angle stability assessment. Despite intensive studies, some fundamental properties of lossy swing equations are still not fully understood. In this paper, we develop a sufficient condition for certifying the stability of equilibrium points (EPs) of these equations, and illustrate the effects of damping, inertia, and network topology on the stability properties of such EPs. The proposed certificate is suitable for real-time monitoring and fast stability assessment, as it is purely algebraic and can be evaluated in a parallel manner. Moreover, we provide a novel approach to quantitatively measure the degree of stability in power grids using the proposed certificate. Extensive computational experiments are conducted, demonstrating the practicality and effectiveness of the proposal.
