STABILITY THEORY FOR DIFFERENTIAL ALGEBRAIC SYSTEMS WITH APPLICATION TO POWER-SYSTEMS

被引:207
作者
HILL, DJ
MAREELS, IMY
机构
[1] Department of Electrical Engineering and Computer Science, University of Newcastle, Newcastle
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1990年 / 37卷 / 11期
关键词
Differential / algebraic systems; Krasovskii- and Lur'e-type Lyapunov functions; Lyapunov methods; power system stability;
D O I
10.1109/31.62415
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
Motivated by transient stability analysis of power systems, a framework for study of Lyapunov stability of equilibria in differential/ algebraic (DA) systems is presented. Following a basic result on existence and uniqueness of solutions, it is easy to state general stability results. Several useful stability criteria for special DA structures are derived. One result for a Hamiltonian type structure is applied to the study of undamped power systems. © 1990 IEEE
引用
收藏
页码:1416 / 1423
页数:8
相关论文
共 30 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]  
CHONG CN, 1988, EE8548 U NEWC TECH R
[3]  
Chua L. O., 1987, LINEAR NONLINEAR CIR
[4]  
DEMARCO CL, 1984, M847 U CALF EL RES L
[5]  
DEMARCO CL, IEEE89 PAP
[6]  
DIEUDONNE J, 1969, F MODERN ANAL
[7]   A LOCAL IMPLICIT FUNCTION THEOREM AND APPLICATION TO SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].
DOLEZAL, V ;
SHANKAR, S .
MATHEMATICAL SYSTEMS THEORY, 1985, 18 (03) :251-256
[8]  
FLIESS M, 1989, P INT S MATH THEORY
[9]  
FLIESS M, NONLINEAR CONTROL TH
[10]   SOLUTIONS OF SINGULAR CONSTRAINED DIFFERENTIAL-EQUATIONS - A GENERALIZATION OF CIRCUITS CONTAINING CAPACITOR-ONLY LOOPS AND INDUCTOR-ONLY CUTSETS [J].
HAGGMAN, BC ;
BRYANT, PR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1984, 31 (12) :1015-1029