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arXiv 2106.13166eess.SYcs.SY
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电力系统的增广同步

Augmented Synchronization of Power Systems

Peng Yang, Feng Liu, Tao Liu, David J. Hill

摘要:

几十年来,电力系统暂态稳定问题一直被转化为扰动后平衡点的李雅普诺夫稳定性问题。尽管有大量的结果,传统的理论受到严格的要求,知道后干扰平衡的先验。相比之下,来自实践的智慧,仅通过观察收敛的频率和电压来证明稳定性,似乎提供了一种平衡独立的方法。在这里,我们制定的经验智慧的概念增强同步,旨在弥合这样的理论与实践的差距。首先,我们推导出收敛到增广同步意味着收敛到平衡集的条件,为经验智慧奠定了第一个理论基础。然后,我们揭示了电力系统从什么样的初始值可以实现增广同步。我们的研究结果打开了一个平衡独立的电力系统稳定性分析,重新定义的名义运动增广同步,而不是一定的平衡的可能性。单机实例和IEEE 9节点系统很好地验证了我们的结果,并说明了有前途的影响。

英文摘要:

Power system transient stability has been translated into a Lyapunov stability problem of the post-disturbance equilibrium for decades. Despite substantial results, conventional theories suffer from the stringent requirement of knowing the post-disturbance equilibrium a priori. In contrast, the wisdom from practice, which certificates stability by only the observation of converging frequencies and voltages, seems to provide an equilibrium-independent approach. Here, we formulate the empirical wisdom by the concept of augmented synchronization and aim to bridge such a theory-practice gap. First, we derive conditions under which the convergence to augmented synchronization implies the convergence to the equilibrium set, laying the first theoretical foundation for the empirical wisdom. Then, we reveal from what initial values the power system can achieve augmented synchronization. Our results open the possibility of an equilibrium-independent power system stability analytic that re-defines the nominal motion as augmented synchronization rather than certain equilibrium. Single-machine examples and the IEEE 9-bus system well verify our results and illustrate promising implications.

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