School of Engineering, University of Applied Sciences of Western Switzerland, CH-1951 Sion, Switzerland.
Phys Rev E. 2016 Mar;93(3):032222. doi: 10.1103/PhysRevE.93.032222. Epub 2016 Mar 31.
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.
我们研究了在耦合振荡器网络中添加新耦合对同步状态线性稳定性的影响。使用一个简单的模型，我们表明，新耦合的位置会导致稳定性增强或减弱。我们将这些结果扩展到电力网络中，其中新的线路可能导致四种不同的情况，对应于电网稳定性的增强或减弱以及功率流的增加或减少。我们的分析表明，Braess 悖论可能发生在任何复杂的耦合系统中，其中同步状态可能会被额外的耦合削弱，有时甚至被破坏。
