Lyapunov functions for multimachine power systems with dynamic loads

被引：53

作者：

Davy, RJ ^{[1
]}

Hiskens, IA ^{[1
]}

机构：

[1] UNIV NEWCASTLE,DEPT ELECT & COMP ENGN,CALLAGHAN,NSW 2308,AUSTRALIA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1997年 / 44卷 / 09期

基金：

澳大利亚研究理事会;

关键词：

load dynamics; Lyapunov functions; power system stability;

D O I：

10.1109/81.622983

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：

This paper develops Lyapunov functions for power systems which have dynamic reactive power loads, These functions are extensions of earlier Lyapunov functions derived for structure preserving power system models having static loads, In order to obtain strict Lyapunov functions, the transient response of the dynamic load must have a logarithmic dependence on voltage. A Lyapunov function is initially generated using a ''first integral'' analysis. A Popov criterion analysis is then undertaken for comparison. The developed Lyapunov functions enable the investigation of the interaction between generator (angle) and load dynamics in multimachine power systems.

引用

页码：796 / 812

页数：17

共 35 条

[1] STABILITY OF CONTROL SYSTEMS WITH MULTIPLE NONLINEARITIES [J].

ANDERSON, BD .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1966, 282 (03) :155-&

[2]

[Anonymous], 1991, Power System Transient Stability Analysis Using the Transient Energy Function Method

[3] LYAPUNOV FUNCTION FOR MULTIMACHINE POWER-SYSTEMS WITH GENERATOR FLUX DECAY AND VOLTAGE DEPENDENT LOADS [J].

BERGEN, AR ;

HILL, DJ ;

DEMARCOT, CL .

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 1986, 8 (01) :2-10

[4] FOUNDATIONS OF THE POTENTIAL-ENERGY BOUNDARY SURFACE METHOD FOR POWER-SYSTEM TRANSIENT STABILITY ANALYSIS [J].

CHIANG, HD ;

WU, FF ;

VARAIYA, PP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (06) :712-728

[5] A BCU METHOD FOR DIRECT ANALYSIS OF POWER-SYSTEM TRANSIENT STABILITY [J].

CHIANG, HD ;

WU, FF ;

VARAIYA, PP .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1994, 9 (03) :1194-1200

[6]

CHONG CN, 1986, THESIS U NEWCASTLE A

[7]

DAVY RJ, 1997, EE9706 U NEWC DEP EL

[8] A VECTOR ENERGY FUNCTION-APPROACH FOR SECURITY ANALYSIS OF AC/DC SYSTEMS [J].

DEMARCO, CL ;

CANIZARES, CA .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1992, 7 (03) :1001-1011

[9]

DEMARCO CL, 1984, M847 U CAL EL RES LA

[10]

DEMARCO CL, 1988, P IEEE INT S CIRC SY, P905

← 1 2 3 4 →