Bifurcations and Chaos in Nonlinear Dynamics of Power Systems

被引:0
|
作者
Vahdati, Pouya Mahdavipour [1 ]
Kazemi, Ahad [1 ]
机构
[1] Iran Univ Sci & Technol, Ctr Excellence Power Syst Automat & Operat, Sch Elect Engn, Tehran, Iran
关键词
Nonlinear Dynamics; Bifurcation; Chaos; Voltage Collapse; NODE;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a comprehensive analysis on bifurcations of a model power system has been performed. Power system consists of synchronous generator, dynamic load, infinite bus and the network in between these elements. Input mechanical power of synchronous generator, reactive power demand at load bus, and reference voltage of excitation system are considered as bifurcation parameters. The dynamics are analyzed under three different dimensions, 6 dimensional dynamics, 7 dimensional dynamics and 9 dimensional dynamics, which has not been analyzed in previous studies. Dynamic and static bifurcations are studied, and as a result of cascading period doubling bifurcations in periodic orbits emerged from Hopf bifurcations, chaotic observations in system behavior is confirmed.
引用
收藏
页码:1706 / 1711
页数:6
相关论文
共 50 条
  • [31] Bifurcations and Chaos in an SIR Model with Nonlinear Incidence Rate
    Liu, Maoxing
    Ruan, Jiong
    Jin, Zhen
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 380 - 384
  • [32] Double Hopf bifurcations and chaos of a nonlinear vibration system
    Bi, QS
    Yu, P
    NONLINEAR DYNAMICS, 1999, 19 (04) : 313 - 332
  • [33] Double Hopf Bifurcations and Chaos of a Nonlinear Vibration System
    Qinsheng Bi
    Pei Yu
    Nonlinear Dynamics, 1999, 19 : 313 - 332
  • [34] NONLINEAR DYNAMICS SYSTEMS - BIFURCATIONS, CONTINUATION METHODS, PERIODIC-SOLUTIONS
    KUBICEK, M
    HOLODNIOK, M
    LECTURE NOTES IN MATHEMATICS, 1986, 1192 : 379 - 386
  • [35] Local bifurcations in delayed chaos anticontrol systems
    Lu, HT
    Yu, XZ
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (01) : 188 - 199
  • [36] Global bifurcations and chaos in polynomial dynamical systems
    Gaiko, VA
    2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 670 - 674
  • [37] Bifurcations and chaos in amplifier phase control systems
    Tomashevskiy, AI
    Kapranov, MV
    CONTROL OF OSCILLATIONS AND CHAOS, VOLS 1-3, PROCEEDINGS, 2000, : 530 - 535
  • [38] Bifurcations and chaos in amplifier phase control systems
    Tomashevskiy, A.I.
    Kapranov, M.V.
    International Conference on Control of Oscillations and Chaos, Proceedings, 2000, (03): : 530 - 535
  • [39] Bifurcations in nonlinear discontinuous systems
    Leine, RI
    van Campen, DH
    van de Vrande, BL
    NONLINEAR DYNAMICS, 2000, 23 (02) : 105 - 164
  • [40] Bifurcations in Nonlinear Discontinuous Systems
    R. I. Leine
    D. H. van Campen
    B. L. van de Vrande
    Nonlinear Dynamics, 2000, 23 : 105 - 164