Torus bifurcation and chaos in power systems

Hongjie Jia; Yixin Yu; Peng Li; Jifeng Su

doi:10.1109/ICPST.2002.1067826

Torus bifurcation and chaos in power systems

Hongjie Jia
, Yixin Yu
, Peng Li
, Jifeng Su

Tianjin University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

In this paper 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 coming out of the unit circle on the Poincare section. In previous studies on power system stability, chaos with torus characteristics (CTC) and TB have been given very little consideration. Our studies indicate that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and self-organizing, co-existence of divergent and chaotic subspace, etc. All studies in this paper are helpful to the understanding of chaotic and instability phenomena in power systems.

Original language	English
Title of host publication	PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1717-1722
Number of pages	6
ISBN (Electronic)	0780374592, 9780780374591
DOIs	https://doi.org/10.1109/ICPST.2002.1067826
Publication status	Published - 2002
Externally published	Yes
Event	International Conference on Power System Technology, PowerCon 2002 - Kunming, China Duration: 13 Oct 2002 → 17 Oct 2002

Publication series

Name	PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings
Volume	3

Conference

Conference	International Conference on Power System Technology, PowerCon 2002
Country/Territory	China
City	Kunming
Period	13/10/02 → 17/10/02

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Power system stability
bifurcation
chaos
nonlinear system

Access to Document

10.1109/ICPST.2002.1067826

Cite this

Jia, H., Yu, Y., Li, P., & Su, J. (2002). Torus bifurcation and chaos in power systems. In PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings (pp. 1717-1722). Article 1067826 (PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings; Vol. 3). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICPST.2002.1067826

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title = "Torus bifurcation and chaos in power systems",

abstract = "In this paper 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 coming out of the unit circle on the Poincare section. In previous studies on power system stability, chaos with torus characteristics (CTC) and TB have been given very little consideration. Our studies indicate that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and self-organizing, co-existence of divergent and chaotic subspace, etc. All studies in this paper are helpful to the understanding of chaotic and instability phenomena in power systems.",

keywords = "Power system stability, bifurcation, chaos, nonlinear system",

author = "Hongjie Jia and Yixin Yu and Peng Li and Jifeng Su",

note = "Publisher Copyright: {\textcopyright} 2002 IEEE.; International Conference on Power System Technology, PowerCon 2002 ; Conference date: 13-10-2002 Through 17-10-2002",

year = "2002",

doi = "10.1109/ICPST.2002.1067826",

language = "English",

series = "PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1717--1722",

booktitle = "PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings",

address = "United States",

}

Jia, H, Yu, Y, Li, P & Su, J 2002, Torus bifurcation and chaos in power systems. in PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings., 1067826, PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings, vol. 3, Institute of Electrical and Electronics Engineers Inc., pp. 1717-1722, International Conference on Power System Technology, PowerCon 2002, Kunming, China, 13/10/02. https://doi.org/10.1109/ICPST.2002.1067826

Torus bifurcation and chaos in power systems. / Jia, Hongjie; Yu, Yixin; Li, Peng et al.
PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2002. p. 1717-1722 1067826 (PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Torus bifurcation and chaos in power systems

AU - Jia, Hongjie

AU - Yu, Yixin

AU - Li, Peng

AU - Su, Jifeng

PY - 2002

Y1 - 2002

N2 - In this paper 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 coming out of the unit circle on the Poincare section. In previous studies on power system stability, chaos with torus characteristics (CTC) and TB have been given very little consideration. Our studies indicate that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and self-organizing, co-existence of divergent and chaotic subspace, etc. All studies in this paper are helpful to the understanding of chaotic and instability phenomena in power systems.

AB - In this paper 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 coming out of the unit circle on the Poincare section. In previous studies on power system stability, chaos with torus characteristics (CTC) and TB have been given very little consideration. Our studies indicate that phenomena of CTC have some unique interesting characteristics such as all the trajectories oscillating on a closed cyclic surface, deep bifurcation and self-organizing, co-existence of divergent and chaotic subspace, etc. All studies in this paper are helpful to the understanding of chaotic and instability phenomena in power systems.

KW - Power system stability

KW - bifurcation

KW - chaos

KW - nonlinear system

UR - https://www.scopus.com/pages/publications/84969872591

U2 - 10.1109/ICPST.2002.1067826

DO - 10.1109/ICPST.2002.1067826

M3 - Conference contribution

AN - SCOPUS:84969872591

T3 - PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings

SP - 1717

EP - 1722

BT - PowerCon 2002 - 2002 International Conference on Power System Technology, Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on Power System Technology, PowerCon 2002

Y2 - 13 October 2002 through 17 October 2002

ER -

Torus bifurcation and chaos in power systems

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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