BIFURCATION, CHAOS, AND VOLTAGE COLLAPSE IN POWER-SYSTEMS

被引:60
作者
TAN, CW [1 ]
VARGHESE, M [1 ]
VARAIYA, P [1 ]
WU, FF [1 ]
机构
[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720
关键词
D O I
10.1109/5.481631
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
A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased. In addition to the saddle node bifurcation often associated with voltage collapse, the system exhibits sub- and supercritical Hopf bifurcations, cyclic fold bifurcation, and period doubling bifurcation. Cascades of period doubling bifurcations terminate in chaotic invariant sets. The presence of these new bifurcations motivates a reexamination of the the saddle-node bifurcation as the boundary of the feasible set of power injections.
引用
收藏
页码:1484 / 1496
页数:13
相关论文
共 36 条
  • [21] CHAOTIC MOTIONS IN THE 2-DEGREE-OF-FREEDOM SWING EQUATIONS
    KOPELL, N
    WASHBURN, RB
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1982, 29 (11): : 738 - 746
  • [22] STATIC BIFURCATIONS IN ELECTRIC-POWER NETWORKS - LOSS OF STEADY-STATE STABILITY AND VOLTAGE COLLAPSE
    KWATNY, HG
    PASRIJA, AK
    BAHAR, LY
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (10): : 981 - 991
  • [23] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
  • [24] 2
  • [25] Marsden J.E., 2012, HOPF BIFURCATION ITS, V19
  • [26] SIMPLE MATHEMATICAL-MODELS WITH VERY COMPLICATED DYNAMICS
    MAY, RM
    [J]. NATURE, 1976, 261 (5560) : 459 - 467
  • [27] RAJAGOPALAN C, 1989, 28TH P IEEE C DEC CO, P332
  • [28] NATURE OF TURBULENCE
    RUELLE, D
    TAKENS, F
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 20 (03) : 167 - &
  • [29] SALAM FMA, 1984, IEEE T CIRCUITS SYST, V30, P673
  • [30] JUMP BEHAVIOR OF CIRCUITS AND SYSTEMS
    SASTRY, SS
    DESOER, CA
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1981, 28 (12): : 1109 - 1124