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.

本文首先提出了多重振荡电力网络的动力学模型，然后研究了互连方式对由两个子网组成的双重电力网络的同步能力的影响。在这项工作中，我们为多重振荡电网中的同步稳定性提供了重要的分析条件。同时，研究了互连类型与双工振荡电网同步性之间的关系。此外，在由两个星形网络组成的特定双工网络上，我们还发现了连接同步性能最差的高级节点的直觉现象。此外，我们的结果表明，增加互连链路数量有利于双工网络的同步性，该双工网络由在单独的层中具有相同属性的两个环形网络组成。但是，对于单独层中具有很强异质性的振荡网络，互连数对同步性没有明显影响。但是，当层间连接为一对一时，由两个环形网络组成的双工网络比两个星形网络具有更好的同步性能。我们的结果为构建具有成本效益的多路复用电力网络提供了创新的指南。当层间连接是一对一时，由两个环形网络组成的双工网络比两个星形网络具有更好的同步性能。我们的结果为构建具有成本效益的多路复用电力网络提供了创新的指南。当层间连接为一对一时，由两个环形网络组成的双工网络比两个星形网络具有更好的同步性能。我们的结果为构建具有成本效益的多路复用电力网络提供了创新的指南。