FOUNDATIONS OF THE POTENTIAL-ENERGY BOUNDARY SURFACE METHOD FOR POWER-SYSTEM TRANSIENT STABILITY ANALYSIS

被引：121
作者：
CHIANG, HD
WU, FF
VARAIYA, PP
机构：
[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720
[2] UNIV CALIF BERKELEY,ELECTR RES LAB,BERKELEY,CA 94720
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1988年 / 35卷 / 06期
关键词：
MATHEMATICAL TECHNIQUES - Perturbation Techniques - SYSTEM STABILITY - Transients;
D O I：
10.1109/31.1808
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 theoretical foundation is provided for the potential energy boundary surface (PEBS) method for power system transient stability analysis. First, a theory of stability boundaries for two classes of dynamical systems: generalized gradient systems and systems described by a second-order vector differential equation. A complete characterization of the stability boundaries of these two dynamical system classes is given, and a qualitative analysis is conducted of the stability boundary when the vector field of the system is under a certain kind of perturbation. Using these results, the PEBS method is evaluated. Conditions under which the PEBS method gives good stability assessments are derived. A modified PEBS method is suggested.
引用
收藏
页码：712 / 728
页数：17
相关论文
共 27 条
[1]   PRACTICAL METHOD FOR THE DIRECT ANALYSIS OF TRANSIENT STABILITY [J].
ATHAY, T ;
PODMORE, R ;
VIRMANI, S .
IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1979, 98 (02) :573-584
[2]  
BEHERA AK, 1985, 24TH P C DEC CONTR F, P818
[3]   STABILITY REGIONS OF NONLINEAR AUTONOMOUS DYNAMICAL-SYSTEMS [J].
CHIANG, HD ;
HIRSCH, MW ;
WU, FF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (01) :16-27
[4]   FOUNDATIONS OF DIRECT METHODS FOR POWER SYSTEM TRANSIENT STABILITY ANALYSIS. [J].
Chiang, Hsiao-Dong ;
Wu, Felix F. ;
Varaiya, Pravin P. .
IEEE transactions on circuits and systems, 1987, CAS-34 (02) :160-173
[5]  
CHIANG HD, 1988, IEEE T CIRCUIT SYST, V35, P705
[6]  
Guckenheimer J., 2013, NONLINEAR OSCILLATIO, V42
[7]  
Guillemin V., 1974, DIFFERENTIAL TOPOLOG
[8]  
Hirsch M., 1974, DIFF EQUAT+
[9]  
HIRSCH M, 1970, P S PURE MATH, V14, P133
[10]   PROPERTIES OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS WITH SMALL PARAMETERS [J].
HOPPENSTEADT, F .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1971, 24 (06) :807-+
123