How dead ends undermine power grid stability

By Peter J. Menck, J. Heitzig, Jürgen Kurths, Hans Joachim Schellnhuber. Nature Communications, 2014

399 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Synchronization in complex networks and its application - A survey of recent advances and challenges (2014, methodology): “Actually, the method used for basin stability in Menck et al. (2013), Menck et al. (2014) is the time-domain method in Chiang et al. (1995) or the numerical integration method in Ribbens-Pavella and Evans (1985).”
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization (2016, background): “Figure 65 is a representation of the Northern European power grid with N = 236 nodes and L = 320 connections [410].”
The Kuramoto model in complex networks (2015, methodology): “To quantify how stable a synchronous state of the networked Kuramoto model with inertia (292) is against large perturbations depending on network topologies, the basin stability BSi at each node i is defined as [34, 302] BSi = ∫ χ(θi, νi)ρp(θi, νi)dθidνi, (333)”
Network resilience (2020, background): “[632] explored the stability mechanism of the power grid, revealing that the local structure of dead ends and dead trees could considerably diminish the system stability.”
Data Based Identification and Prediction of Nonlinear and Complex Dynamical Systems (2016, methodology): “[515], a rewiring method was proposed and demonstrated to be able to enhance the system stability through the addition of extra transmission lines.”