Chaotic Threshold for a Class of Power System Model

This paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical disturbance. By applying Melnikov’s method, the t...

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Bibliographic Details
Main Authors: Xiaodong Wang, Zhenyong Lu, Caiqin Song
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/3479239
Description
Summary:This paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical disturbance. By applying Melnikov’s method, the threshold value for the occurrence of chaotic motion is provided. In addition, the chaotic boundary surface is given. The efficiency of the criteria for chaotic motion obtained in this paper is verified by bifurcation diagram, phase portraits, Poincaré section, and frequency spectrum. The results obtained in this paper will provide a better understanding of the nonlinear dynamic behaviors for this class of SMIB power system subjected to two kinds of harmonic excitation components.
ISSN:1070-9622
1875-9203