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arXiv 1409.1889eess.SYcs.SY
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Lyapunov函数族方法用于暂态稳定评估

Lyapunov Functions Family Approach to Transient Stability Assessment

Massachusetts Institute of Technology(麻省理工学院)

Thanh Long Vu, Konstantin Turitsyn

AI总结:

本文提出一种基于Lyapunov函数族的暂态稳定性评估方法,利用半定规划技术扩展能量函数概念,证明其在有限邻域内单调递减,并能更广泛地验证初始条件的稳定性。

摘要:

强非线性故障后动态的暂态稳定性分析是动态安全评估中最具计算挑战性的部分。本文提出了一种新的评估方法,该方法扩展了能量方法的思想,将能量函数的概念扩展为通过半定规划技术构建的更一般的Lyapunov函数族(LFF)。与传统能量函数及其变种不同,构造的Lyapunov函数被证明仅在平衡点的有限邻域内单调递减。然而,我们显示它们仍能比传统能量函数在最近UEP方法中验证更广泛的初始条件集。此外,稳定性证书可以通过一系列可解的凸优化问题构造,即使对于大规模系统也是可行的。我们还提出了特定算法,用于将Lyapunov函数适应到特定的初始条件,并在多个IEEE测试案例上展示了该方法的有效性。

英文摘要:

Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the system. The approach generalizes the idea of energy methods, and extends the concept of energy function to a more general Lyapunov Functions Family (LFF) constructed via Semi-Definite-Programming techniques. Unlike the traditional energy function and its variations, the constructed Lyapunov functions are proven to be decreasing only in a finite neighborhood of the equilibrium point. However, we show that they can still certify stability of a broader set of initial conditions in comparison to the traditional energy function in the closest-UEP method. Moreover, the certificates of stability can be constructed via a sequence of convex optimization problems that are tractable even for large scale systems. We also propose specific algorithms for adaptation of the Lyapunov functions to specific initial conditions and demonstrate the effectiveness of the approach on a number of IEEE test cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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