Chaotic and subharmonic oscillations of a nonlinear power system

被引：42

作者：

Chen, XW ^{[1
]}

Zhang, WN

Zhang, WD

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Chongqing Power Coll, Chongqing 400053, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2005年 / 52卷 / 12期

关键词：

chaos; heteroclinic bifurcation; nonlinear oscillation; power system; subharmonic bifurcation;

D O I：

10.1109/TCSII.2005.853512

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 order to analyze complex oscillations with a large deviation for a nonlinear nonautonomous power-transmission system, heteroclinic and subharmonic bifurcations are discussed by technically computing Melnikov functions with the residue of a complex function and elliptic integrals, which gives a condition of parameters for chaotic oscillation and one for periodic oscillation. We describe the three-dimensional geometric structures of these parameter regions and the geometric relations among them. According to these regions, numerical simulations are implemented to demonstrate chaotic phenomena and subharmonic oscillations.

引用

页码：811 / 815

页数：5

共 19 条

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

ABED, EH ;

VARAIYA, PP .

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

[2] 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

[3] Application of Melnikov's method for computing heteroclinic orbits in a classical SMIB power system model [J].

Alberto, LFC ;

Bretas, NG .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (07) :1085-1089

[4]

[Anonymous], 1986, POWER SYSTEM ANAL

[5]

Byrd PF., 1954, Handbook of Elliptic Integrals for Engineers and Physicists

[6] On time-delayed feedback control of chaotic systems [J].

Chen, GR ;

Yu, XH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (06) :767-772

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

CHEN, RL ;

VARAIYA, PP .

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

[8] CHAOS IN A SIMPLE POWER-SYSTEM [J].

CHIANG, HD ;

LIU, CW ;

VARAIYA, PP ;

WU, FF ;

LAUBY, MG .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1993, 8 (04) :1407-1417

[9]

Guckenheimer J., 1983, NONLINEAR OSCILLATIO, V42

[10] Global transient stability and voltage regulation for power systems [J].

Guo, Y ;

Hill, DJ ;

Wang, YY .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2001, 16 (04) :678-688

← 1 2 →