A criterion for the Hopf bifurcation and the pathway to chaos of doubly fed induction generators

doi:10.1007/s00202-023-01819-1

	A criterion for the Hopf bifurcation and the pathway to chaos of doubly fed induction generators
	Chen, Wei; Li, Qiangqiang; Wei, Zhanhong; Li, Jiangtao; Wang, Kun
	2023-05-06
在线发表时间	2023-05
发表期刊	ELECTRICAL ENGINEERING
ISSN	0948-7921
摘要	Aiming at the cause of limit cycles and the pathway of chaotic oscillation by doubly fed induction generator (DFIG) as its internal parameters change, this paper proposed a method to identify limit cycles and a numerical method to identify chaotic pathways. First, a simplified four-dimensional nonlinear dynamic model of the DFIG is developed. A simple criterion for the Hopf bifurcation parameter of the DFIG is given: the Routh-Hurwitz stability criterion. In addition, the relationship between the system at critical damping and the Hopf bifurcation is obtained. Second, the stability interval of the DFIG linearized system is verified using a time-domain approach when the system has recovered from a slight disturbance. Finally, periodic, quasi-periodic, and chaotic oscillations are predicted to occur based on the largest Lyapunov exponent and power spectrum to further determine the system's parameters. The path and threshold of the tuning parameter inducing the DFIG into chaos are obtained to provide a theoretical basis for revealing the mechanism inducing chaotic oscillations. The numerical simulation results demonstrate the effectiveness and feasibility of the proposed method.
关键词	Doubly fed induction generator Routh-Hurwitz criterion Limit cycle Chaotic oscillation
DOI	10.1007/s00202-023-01819-1
收录类别	SCIE ; EI
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000982385900002
出版者	SPRINGER
EI入藏号	20231914070940
EI主题词	Hopf bifurcation
EI分类号	701.1 Electricity: Basic Concepts and Phenomena ; 703.1 Electric Networks ; 705.2.1 AC Generators ; 731.4 System Stability ; 921 Mathematics ; 921.6 Numerical Methods ; 931 Classical Physics ; Quantum Theory ; Relativity ; 961 Systems Science
来源库	WOS
原始文献类型	Article; Early Access
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/162128
专题	电气工程与信息工程学院
作者单位	Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	电气工程与信息工程学院
第一作者的第一单位	电气工程与信息工程学院
推荐引用方式 GB/T 7714	Chen, Wei,Li, Qiangqiang,Wei, Zhanhong,et al. A criterion for the Hopf bifurcation and the pathway to chaos of doubly fed induction generators[J]. ELECTRICAL ENGINEERING,2023.
APA	Chen, Wei,Li, Qiangqiang,Wei, Zhanhong,Li, Jiangtao,&Wang, Kun.(2023).A criterion for the Hopf bifurcation and the pathway to chaos of doubly fed induction generators.ELECTRICAL ENGINEERING.
MLA	Chen, Wei,et al."A criterion for the Hopf bifurcation and the pathway to chaos of doubly fed induction generators".ELECTRICAL ENGINEERING (2023).