Analysis of a power grid using a Kuramotolike model
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 Kuramotolike models, those with bimodal distribution of the frequencies, is most appropriate for the powergrid. In fact in the powergrid there are two kinds of oscillators: the “sources" delivering power to the “consumers".
 Publication:

European Physical Journal B
 Pub Date:
 February 2008
 DOI:
 10.1140/epjb/e2008000988
 arXiv:
 arXiv:0705.1305
 Bibcode:
 2008EPJB...61..485F
 Keywords:

 05.45.Xt;
 74.50.+r;
 84.70.+p;
 Synchronization;
 coupled oscillators;
 Tunneling phenomena;
 point contacts weak links Josephson effects;
 Highcurrent and highvoltage technology: power systems;
 power transmission lines and cables;
 Nonlinear Sciences  Chaotic Dynamics;
 Physics  Physics and Society
 EPrint:
 24 pages, including 7 figures. To appear on Eur. Phys. J. B