Torus bifurcation and chaos in power systems

被引：0

作者：

Jia, Hongjie ^{[1
]}

Yu, Yi-Xin ^{[1
]}

Li, Peng ^{[1
]}

机构：

[1] Sch. of Elec. Automat., Tianjin Univ., Tianjin 300072, China

来源：

Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering | 2002年 / 22卷 / 08期

关键词：

Bifurcation (mathematics) - Chaos theory - Nonlinear systems - Stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Torus bifurcation (TB) and chaos caused by TB in a simple three-node power system is comprehensively studied. TB is one type of complicated dynamic bifurcation caused by a pair of complex conjugated Floquet multipliers (FM) coming out of the unit circle on the Poincare section. Our studies indicates that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and reconstruction, co-existence of regular and chaotic subspace, etc.

引用

页码：6 / 10

共 50 条

[41] Chaos of 'split torus' type in three-dimensional relaxation systems
Kolesov, AY
Kolesov, YS
Rozov, NK
SBORNIK MATHEMATICS, 1997, 188 (11-12) : 1571 - 1586
[42] CHAOS VIA TORUS BREAKDOWN
MATSUMOTO, T
CHUA, LO
TOKUNAGA, R
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (03): : 240 - 253
[43] AN OVERVIEW OF BIFURCATION, CHAOS AND NONLINEAR DYNAMICS IN CONTROL-SYSTEMS
CHEN, GR
MOIOLA, JL
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1994, 331B (06): : 819 - 858
[44] Bifurcation and chaos of a non-autonomous rotational machine systems
Zhang, Jian-Gang
Yu, Jian-Ning
Chu, Yan-Dong
Li, Xian-Feng
Chang, Ying-Xiang
SIMULATION MODELLING PRACTICE AND THEORY, 2008, 16 (10) : 1588 - 1605
[45] Bifurcation and chaos in mechanical applications: A dynamical systems approach to their control
Lenci, S
Rega, G
IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics, 2005, 122 : 47 - 57
[46] Application of bifurcation analysis to power systems
Chiang, HD
BIFURCATION CONTROL: THEORY AND APPLICATIONS, 2003, 293 : 1 - 28
[47] Bifurcation and chaos analysis of power converter for switched reluctance motor drive
Wang, Libiao
Meng, Zhuo
Sun, Yize
Guo, Lei
INTERNATIONAL JOURNAL OF ELECTRONICS, 2017, 104 (01) : 157 - 173
[48] Bifurcation and Chaos Control in Power-Factor-Correction Boost Converter
Zamani, Najmeh
Niroomand, Mehdi
Ataei, Mohammad
2014 22ND IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE), 2014, : 1307 - 1312
[49] Hopf and torus bifurcations, torus destruction and chaos in population biology
Stollenwerk, Nico
Sommer, Pablo Fuentes
Kooi, Bob
Mateus, Luis
Ghaffari, Peyman
Aguiar, Maira
ECOLOGICAL COMPLEXITY, 2017, 30 : 91 - 99
[50] Chaos synchronization in some power systems
Shahverdiev, E. M.
Hashimova, L. H.
Hashimova, N. T.
CHAOS SOLITONS & FRACTALS, 2008, 37 (03) : 827 - 834

← 1 2 3 4 5 →