Analysis of a power grid using the Kuramoto-like model

TL;DR

This paper establishes a formal analogy between the Kuramoto model of oscillators and electrical power grids, demonstrating how bimodal frequency distributions can effectively model power sources and consumers in the grid.

Contribution

It introduces a quantitative mapping between Kuramoto-like models and power grids, highlighting the practical implications of this analogy for understanding grid synchronization.

Findings

Bimodal Kuramoto models are suitable for power grid analysis.

The formal analogy enables new insights into grid stability.

Practical consequences for power distribution systems.

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