Synchronous patterns of oscillatory power network with general coupling matrix

Abstract

The electrical power grid is a fundamental infrastructure in the modern society. Theoretically, the Kuramoto-type model with inertia can be modeled with the generators and consumers working for a power network. The purpose of this work is to investigate the emergence of synchronous patterns of power network with the general coupling strategy, which is the most general setting for an oscillatory network. Here, we analyze the dynamics of the simplest non-trivial network that exhibits synchronous state. Furthermore, we find a counterintuitive range of coupling strength values where the synchronization stability suddenly decreases as the coupling strength increases, based on a number of simple topology structures. Furthermore, it is found that nontrivial behaviors of the coupling scheme in the small-size oscillatory power network potentially vary with the synchronous patterns. Therefore, our simulation results suggest that adjusting coupling scheme is vital to prevent the unexpected catastrophic instability in building blocks of power network.