Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

In the low-voltage islanded multi-bus microgrid (LVIMB-MG), the virtual synchronous
generators'(VSGs') inertia constant and damping coefficient play an important role in low …

Dynamical simulation of the cascade failures on the Europe and United States (US) high-
voltage power grids has been done via solving the second-order Kuramoto equation. We …

The second-order Kuramoto equation describes the synchronization of coupled oscillators
with inertia, which occur, for example, in power grids. On the contrary to the first-order …

Electric power systems during transient states are extensively investigated using variations
of the Kuramoto model to analyze their dynamic behavior. However, the majority of current …

The size distributions of planned and forced outages and their restoration times in power
systems have been studied for almost two decades and have drawn great interest as they …

Cascading failures abound in complex systems and the Bak–Tang–Weisenfeld (BTW)
sandpile model provides a theoretical underpinning for their analysis. Yet, it does not …

Cascade failures in power grids occur when the failure of one component or subsystem
causes a chain reaction of failures in other components or subsystems, ultimately leading to …

In our statistical analysis, we have discovered that the distance distribution (referring to
Euclidean distance) of many real networks follows certain patterns, especially the distances …

Partial, frustrated synchronization, and chimera-like states are expected to occur in
Kuramoto-like models if the spectral dimension of the underlying graph is low: ds< 4⁠. We …