BIFURCATION, CHAOS, AND VOLTAGE COLLAPSE IN POWER-SYSTEMS

被引：62

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

来源：

PROCEEDINGS OF THE IEEE | 1995年 / 83卷 / 11期

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

页码：1484 / 1496

页数：13

共 36 条

[1] DYNAMIC BIFURCATIONS IN A POWER SYSTEM MODEL EXHIBITING VOLTAGE COLLAPSE [J].

Abed, E. H. ;

Wang, H. O. ;

Alexander, J. C. ;

Hamdan, A. M. A. ;

Lee, H. -C. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (05) :1169-1176

[2] NONLINEAR OSCILLATIONS IN POWER-SYSTEMS [J].

ABED, EH ;

VARAIYA, PP .

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 1984, 6 (01) :37-43

[3] BIFURCATION-THEORY AND ITS APPLICATION TO NONLINEAR DYNAMIC PHENOMENA IN AN ELECTRICAL-POWER SYSTEM [J].

AJJARAPU, V ;

LEE, B .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1992, 7 (01) :424-431

[4]

AJJARAPU V, 1993, IEE P C, V104, P490

[5] OSCILLATORY SOLUTIONS OF A MODEL SYSTEM OF NONLINEAR SWING EQUATIONS [J].

ALEXANDER, JC .

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 1986, 8 (03) :130-136

[6]

BACK A, 1992, COMPUTERS MATH, V39, P303

[7] DEGENERATE HOPF BIFURCATIONS IN POWER-SYSTEMS [J].

CHEN, RL ;

VARAIYA, PP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (07) :818-824

[8]

CHIANG HC, COMMUNICATION

[9] STABILITY REGIONS OF NONLINEAR AUTONOMOUS DYNAMICAL-SYSTEMS [J].

CHIANG, HD ;

HIRSCH, MW ;

WU, FF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (01) :16-27

[10] A SECURITY MEASURE FOR RANDOM LOAD DISTURBANCES IN NONLINEAR POWER-SYSTEM MODELS [J].

DEMARCO, CL ;

BERGEN, AR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (12) :1546-1557

← 1 2 3 4 →