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

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  • Lixin Yang
  • Jie Gao
  • Jie Ma
  • Sundarapandian Vaidyanathan

Abstract

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.

Suggested Citation

  • Lixin Yang & Jie Gao & Jie Ma & Sundarapandian Vaidyanathan, 2021. "Modeling and Dynamical Analysis of Multi-Area Network with a Third-Order Chaotic Power System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-10, October.
    • Handle: RePEc:hin:jnddns:8421754
    DOI: 10.1155/2021/8421754
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