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Analysis of the italian power grid based on kuramoto-like model
TLDR
In this paper, an analysis of the italian highvoltage power grid based on a mapping between power grid nodes and Kuramoto-like oscillators is proposed, which is able to reach a global synchronous state, after which a perturbation is applied in order to study the dynamical robustness of the network to faults.Abstract:
In this work, an analysis of the italian high-voltage power grid based on a mapping between power grid nodes and Kuramoto-like oscillators is proposed. The network is able to reach a global synchronous state, after which a perturbation is applied in order to study the dynamical robustness of the network to faults. Several dynamical parameters such as the minimum value of perturbation leading to desynchronization and the time to reach the complete loss of synchronism have been introduced. A non-trivial complex relationship between dynamical and topological parameters of the network emerges.read more
Citations
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Journal ArticleDOI
Self-consistent method and steady states of second-order oscillators
Jian Gao,Konstantinos Efstathiou +1 more
TL;DR: In this article, a self-consistent analysis of second-order oscillators is presented, which is simpler compared to previous approaches while giving more accurate results in the small inertia regime and close to incoherence.
Book ChapterDOI
Power-Grids as Complex Networks: Emerging Investigations into Robustness and Stability
TL;DR: A number of recent results in the topic of robustness and stability in power grids are reviewed, developed within the framework of the Theory of Complex Networks, especially those concerned with the description of node dynamics by means of the second-order Kuramoto model.
Journal ArticleDOI
Power-Law Distributions of Dynamic Cascade Failures in Power-Grid Models.
Géza Ódor,Balint Hartmann +1 more
TL;DR: This work attempts to describe power-law distributed cascade failures using an AC threshold model, with a second-order Kuramoto type equation of motion of the power-flow, and investigates the consequence of replacing the usual Gaussian self-frequencies to exponential distributed ones, describing renewable energy sources.
Journal ArticleDOI
The Kuramoto Model: The Stability Conditions in the Presence of Phase Shift
TL;DR: The synchronization of Kuramoto oscillators has been investigated and the necessary and sufficient conditions for the frequency synchronization and phase cohesiveness have been introduced using the contraction property and a new Lyapunov-based stability analysis technique is introduced.
Proceedings ArticleDOI
Cluster Synchronization of Kuramoto Oscillators Networks
TL;DR: In this paper, the condition of frequency cluster synchronization of Kuramoto oscillators network was theoretically proved using the method of Lagrange multiplier and an algorithm was proposed to modify the adjacency matrix.
References
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The Kuramoto model: A simple paradigm for synchronization phenomena
TL;DR: In this paper, a review of the Kuramoto model of coupled phase oscillators is presented, with a rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years.
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Model for cascading failures in complex networks
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Journal ArticleDOI
Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
Florian Dörfler,Francesco Bullo +1 more
TL;DR: A singular perturbation analysis shows the equivalence between the classic swing equations and a non-uniform Kuramoto model characterized by multiple time constants, non-homogeneous coupling, and non- uniform phase shifts.
Journal ArticleDOI
Analysis of a power grid using a Kuramoto-like model
TL;DR: In this article, the authors show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers, and under some necessary approximations a class of Kuramoto-like models, those with bimodal distribution of the frequencies, is most appropriate for the power-grid.
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