Details

Autor(en) / Beteiligte

• Coletta, Tommaso
• Jacquod, Philippe

Titel

Linear stability and the Braess paradox in coupled-oscillator networks and electric power grids

Ist Teil von

• Physical review. E, 2016-03, Vol.93 (3), p.032222-032222, Article 032222

Ort / Verlag

United States

Erscheinungsjahr

2016

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled-oscillator 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.