The role of interconnection patterns on synchronizability of duplex oscillatory power network

Abstract

This paper firstly proposes the multiplex oscillatory power network dynamical model, and then investigates the influence of interconnection patterns on synchronous ability of duplex power network being comprised of two subnetworks. In this work, we provide analytical vital conditions for synchronous stability in a multiplex oscillatory power network. Meanwhile, the relationship between interconnection types and synchronizability of duplex oscillatory power network is investigated. Moreover, we also find a counterintuitive phenomenon of connecting high-degree nodes where the synchronization has worst performance, on a specific duplex network composed of two star networks. In addition, our results show that increasing the interlink number favors synchronizability of duplex network consisting of two ring networks with the same properties in separate layers. However, the interlink number has no obvious effect on synchronizability for oscillatory network with strong heterogeneity in separate layers. Nonetheless, synchronization has better performance for duplex network composed of two ring networks than two star networks when the inter-layer connections are one-to-one. Our results provide an innovative guide for constructing a cost-effective multiplex power network.