Discrete Dynamics in Nature and Society (Jan 2021)

Modeling and Dynamical Analysis of Multi-Area Network with a Third-Order Chaotic Power System

  • Lixin Yang,
  • Jie Gao,
  • Jie Ma

DOI
https://doi.org/10.1155/2021/8421754
Journal volume & issue
Vol. 2021

Abstract

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The synchronization of states is important to sustain the energy of consumers at any given time for power networks. This paper focuses on the multi-area power network model and then analyzes the cluster synchronization of this kind of network comprised of a third-order chaotic power system. Specifically, we investigate the rich dynamic properties of the single third-order power system. Furthermore, the multi-area network model with the chaotic power system is proposed and the adaptive controller is designed to achieve cluster synchronization. Combining analytical considerations with numerical simulations on a small-scale network, we address the cluster synchronous performance in the multi-area power network. Therefore, our results can provide a basic physical picture for power system dynamics and enable us to further understand the complex dynamical behavior in the multi-area power network.