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.
Highlights
As we know, modern power networks play a crucial role in our modern society today
The single machine infinite bus system refers to a power network that corresponds to an oscillatory power-grid node and a connected system as an environment
The Kuramot-like model does not take into account the physical characteristics of the power grid. erefore, most of the existing works have missed a detailed analysis of the nonlinear dynamic behaviors for the third-order power system
Summary
Power networks refer to complex interconnected systems for routing power via transmission lines [1,2,3] They consist of a large number of heterogeneous elements that operate interlinked, creating a multiplex network. Its dynamical behavior is extremely important for stable operation of the power network. Based on the above discussion, in the present paper, we focus on a more realistic third-order system model to describe the multi-area power network. E investigation of power systems has been recently addressed from a nonlinear dynamics point of view.
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