Synchronization and Transient Stability in Power Grids Based on Łojasiewicz Inequalities
Synchronization and Transient Stability in Power Grids Based on Łojasiewicz Inequalities
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DOI：
10.1137/130950604
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
Zhuchun Li;X. Xue;Daren Yu
中科院分区：
文献类型：
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作者：
Zhuchun Li;X. Xue;Daren Yu
本文研究了一类二阶Kuramoto模型及其同步问题。这项研究的动机是它与电网系统的重要关系。工业电网变得越来越复杂，由于可再生能源的高度随机性，越来越多的电力扰动可能会被引入系统中。这对我们研究其暂态稳定性提出了越来越大的挑战。在最近的文献中，Dorfler，Chertkov和Bullo[Proc.娜塔莉。阿卡德。SCI。美国，110(2013)，pp.2005--2010]发现了智能电网同步的条件。他们指出，另一个重要问题是同步解的吸引域。这项工作的主要目的是解决暂态稳定问题，为一类稳定的同步状态找到一个吸引域。这个陷阱区域在系统的参数中被明确地表示出来。我们的关键洞察力是利用梯度不等式和Ł...
In this paper we are concerned with a second-order Kuramoto-type model and its synchronization problem. This study was motivated by its significant relation to the power grid systems. The power grids in industry have become increasingly complex and, more and more, power disturbances could be drawn into the system due to the highly stochastic renewable power sources. This poses an increasing challenge for us to investigate its transient stability. In the very recent literature Dorfler, Chertkov, and Bullo [Proc. Natl. Acad. Sci. USA, 110 (2013), pp. 2005--2010] found a condition for the synchronization in smart grids. They pointed out that another important problem is the region of attraction of a synchronized solution. The main purpose of this work is to address the transient stability problem and find a region of attraction for a class of stable synchronous states. This trapping region is explicitly expressed in the parameters of the system. Our key insight is to exploit the gradient inequality and the Ł...