A new eigen-sensitivity theory of augmented matrix and its applications to power system stability analysis

被引:68
作者
Nam, HK [1 ]
Kim, YK
Shim, KS
Lee, KY
机构
[1] Chonnam Natl Univ, Dept Elect Engn, Kwangju 500757, South Korea
[2] Seonam Univ, Dept Elect Engn, Chonbuk 590170, South Korea
[3] Penn State Univ, Dept Elect Engn, University Pk, PA 16802 USA
基金
美国国家科学基金会;
关键词
augmented matrix; dominant eigenvalue; eigen-sensitivity; eigenvalue perturbation; eigenvector; power system stability;
D O I
10.1109/59.852145
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 this paper, a new second-order eigen-sensitivity and perturbation theory of the augmented matrix is developed using of only dominant eigenvalues and their left and right-eigenvectors. Eigen-sensitivities on various system and control parameters are computed far analysis of small signal and voltage stability of the New England system. It is also shown that the sensitivity analysis may be used as an invaluable tool for analysis, planning, and operation of power systems: identification of the cause of the stability problems and weak lines; optimal tuning of control parameters; determining locations of compensating devices for stability enhancement such as capacitor compensation and FACTS devices.
引用
收藏
页码:363 / 369
页数:7
相关论文
共 15 条
[1]  
[Anonymous], ALGEBRAIC EIGENVALUE
[2]  
*EPRI, 1982, EL2348 EPRI, V2
[3]  
*EPRI, 1993, TR101931 EPRI, V1
[4]  
MARTINS N, 1978, THESIS VICTORIA U MA
[5]  
NAM HK, 1995, T KIEE, V44, P1401
[6]  
NAM HK, 1993, T KIEE, V42, P53
[7]  
NAM HK, 1995, T KIEE, V44, P1283
[8]   EIGENVALUE SENSITIVITIES OF POWER-SYSTEMS INCLUDING NETWORK AND SHAFT DYNAMICS [J].
NOLAN, PJ ;
SINHA, NK ;
ALDEN, RTH .
IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1976, 95 (04) :1318-1324
[9]   ON SENSITIVITIES, RESIDUES AND PARTICIPATIONS - APPLICATIONS TO OSCILLATORY STABILITY ANALYSIS AND CONTROL [J].
PAGOLA, FL ;
PEREZARRIAGA, IJ ;
VERGHESE, GC .
IEEE TRANSACTIONS ON POWER SYSTEMS, 1989, 4 (01) :278-285
[10]  
PORTER B, 1972, MODAL CONTROL THEORY, P21