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Mathematics > Optimization and Control

arXiv:1801.00066 (math)
[Submitted on 30 Dec 2017]

Title:Normally hyperbolic surfaces based finite-time transient stability monitoring of power system dynamics

Authors:Sambarta Dasgupta, Umesh Vaidya
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Abstract:In this paper, we develop a methodology for finite time rotor angle stability analysis using the theory of normal hyperbolic surfaces. The proposed method would bring new insights to the existing techniques, which are based on asymptotic analysis. For the finite time analysis we have adopted the Theory of normally hyperbolic surfaces. We have connected the repulsion rates of the normally hyperbolic surfaces, to the finite time stability. Also, we have characterized the region of stability over finite time window. The parallels have been drawn with the existing tools for asymptotic analysis. Also, we have proposed a model free method for online stability monitoring.
Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)
Cite as: arXiv:1801.00066 [math.OC]
  (or arXiv:1801.00066v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1801.00066

Submission history

From: Sambarta Dasgupta [view email]
[v1] Sat, 30 Dec 2017 01:07:02 UTC (4,755 KB)
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