Stability Assessment of Power Systems Based on a Robust Sum-of-Squares Optimization Approach
Stability Assessment of Power Systems Based on a Robust Sum-of-Squares Optimization Approach
复制标题
基于鲁棒平方和优化方法的电力系统稳定性评估
DOI：
10.23919/pscc.2018.8442767
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
M. Hovd
中科院分区：
文献类型：
--
作者：
Lester Kalemba;K. Uhlen;M. Hovd
不断发展的电力系统的安全运行，其特点是更多的可再生能源和日益变化的消费，将需要加强监测和更多的自动控制行动。一个例子是需要快速检测和控制动作，以避免由瞬态不稳定性引起的失步或电网孤岛。本文基于李雅普诺夫第二方法，提出了一种适用于电力系统在线暂态稳定评估的方法。该方法使用平方和优化算法构造一个多项式李雅普诺夫函数，并估计一个给定的稳定运行状态的吸引区域。该方法的主要优点是，它避免了寻找合适的李雅普诺夫函数的艰苦过程。我们的方法包括一个强大的处理系统模型的泰勒级数展开的截断误差，从而确保了工作点周围的吸引区域的估计是在实际的吸引区域内。本文以单机无限大系统为例，演示了该方法的应用。
Secure operation of the evolving power systems, characterised by more renewable energy sources and increasingly variable consumption, will require enhanced monitoring and more automatic control actions. One example is the need for fast detection and control actions to avoid loss of synchronism or grid islanding caused by transient instability. In this paper, we present a method suitable for on-line transient stability assessment of power systems, based on Lyapunov's second method for stability analysis of dynamical systems. The method uses Sum-of-Squares optimization to algorithmically construct a Polynomial Lyapunov Function and estimate the Region-of-Attraction for a given stable operating state. The main benefit of the method is that it obviates the painstaking process of finding a suitable Lyapunov function. Our approach includes a robust handling of the truncation error in the Taylor series expansion of the system model, and thereby ensures that the estimate of the region of attraction around an operating point is inside the actual region of attraction. Using a single-machine-infinite-bus system, we demonstrate the application of the method in this paper.
DOI：
10.1109/tcsi.2013.2246233
发表时间：
2013-09-01
影响因子：
5.1
作者：
Anghel, Marian;Milano, Federico;Papachristodoulou, Antonis
通讯作者：
Papachristodoulou, Antonis