# Analysis of a power grid using a Kuramoto-like model

@article{Filatrella2008AnalysisOA, title={Analysis of a power grid using a Kuramoto-like model}, author={Giovanni Filatrella and Arne Hejde Nielsen and Niels Falsig Pedersen}, journal={The European Physical Journal B}, year={2008}, volume={61}, pages={485-491} }

Abstract.We 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. The purpose of this work is to show both the formal analogy and some practical consequences. The mapping can be made quantitative, 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. In fact in…

## 376 Citations

ANALYSIS OF THE ITALIAN POWER GRID BASED ON KURAMOTO-LIKE MODEL

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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…

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A Kuramoto-like equation is derived from the Cardell-Ilic distributed electrical generation network and the resulting model is used to simulate the phase stability and the synchronization of a small electrical grid and it is shown that the synchronization rising-time follows a power-law.

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Analytical results on the role of coupling strength in the phenomenon of onset of complete frequency locking in power-grids modelled as a network of second-order Kuramoto oscillators show that both the load and the centralized generation might have concurred to the 2014 blackout.

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- PhysicsCybernetics and Physics
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It is shown that the stability of peripheral elements of the grid to disturbances depends significantly on the lengths of their connections to the rest of the Grid, including working synchronous mode in the Nizhny Novgorod power grid.

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It is found that as the internal coupling coefficient is increased, the distributed power grids and the loading system become more and more synchronized in space, and the complete synchronization appears at a particular value of external coupling coefficient.

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It is shown that the typical behavior of self-organizing systems like phase transitions and critical fluctuations can be observed in models for the dynamics of power grids, and a model, where the phase and voltage dynamics are represented by Kuramoto-like equations is investigated.

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