2015/05/31 by Tommaso Coletta, Philippe Jacquod · 2 citations
Physics and Astronomy · #cond-mat.dis-nn #nlin.AO
paper · pdf · doi:10.1103/physreve.93.032222
published as Phys. Rev. E 93, 032222, March 2016 · 8 pages, 5 figures
arxiv created 2016/04/05 · arxiv updated 2016/04/06
We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled oscillators networks. Using a simple model we show that, depending on its location, the new coupling can lead to enhanced or reduced stability. We extend these results to electric power grids where a new line can lead to four different scenarios corresponding to enhanced or reduced grid stability as well as increased or decreased power flows. Our analysis shows that the Braess paradox may occur in any complex coupled system, where the synchronous state may be weakened and sometimes even destroyed by additional couplings.