Analysis of a power grid using the Kuramoto-like model

Details Analysis of a power grid using the Kuramoto-like model Analysis of a power grid using the Kuramoto-like model

2007-05-09

arxiv.org/abs/0705.1305v2

Nonlinear Sciences

Chaotic Dynamics

24 pages, including 7 figures. To appear on Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2008-00098-8

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 the power-grid there are two kinds of oscillators: the 'sources' delivering power to the 'consumers'.

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