Large-Scale Power System Robust Stability Analysis Based on Value Set Approach

被引:35
作者
Zhou, Jinghao [1 ]
Shi, Peng [1 ]
Gan, Deqiang [1 ]
Xu, Ying [2 ]
Xin, Huanhai [1 ]
Jiang, Changming [2 ]
Xie, Huan [3 ]
Wu, Tao [3 ]
机构
[1] Zhejiang Univ, Sch Elect Engn, Hangzhou 310058, Zhejiang, Peoples R China
[2] State Grid Corp China, North China Branch, Beijing 100031, Peoples R China
[3] North China Elect Power Res Inst Co Ltd, Beijing 100045, Peoples R China
关键词
Edge theorem; Mikhailov plot; parametric uncertainty; robustness analysis; small signal stability; value set;
D O I
10.1109/TPWRS.2017.2657642
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 presents a method for robust stability analysis of large-scale power systems based on the value set approach. The order of the system is first reduced by the dimension reduction and modal truncation to capture the oscillation modes of interest. The characteristic polynomial is then obtained by the diagonal expansion, which allows the structure of coefficient functions to be exploited. The Mikhailov plot is generated with ease using the edge theorem and mapping theorem, and by inspection of the plot, the uncertainty's impact becomes transparent. The performance of the proposed method is tested on a 547-machine 8647-bus model of the actual North China system. The results of several case studies are reported, and related works are reviewed for comparison.
引用
收藏
页码:4012 / 4023
页数:12
相关论文
共 21 条
[1]  
Ackermann, 2002, ROBUST CONTROL PARAM, P334
[2]  
[Anonymous], 2005, IEEE Std 421.5, P1
[3]  
ANTOULAS A. C., 2005, ADV DES CONTROL, DOI 10.1137/1.9780898718713
[4]  
ANTOULAS D., 2001, Contemp. Math., V280, P193, DOI DOI 10.1090/CONM/280/04630
[5]  
Antsaklis P. J., 2006, LINEAR SYSTEMS
[6]  
Castellanos R., 2009, ROBUST STABILITY PER
[7]   A μ-analysis approach to power system stability robustness evaluation [J].
Castellanos, R. B. ;
Messina, A. R. ;
Sarmiento, H. U. .
ELECTRIC POWER SYSTEMS RESEARCH, 2008, 78 (02) :192-201
[8]   Application of the structured singular value theory for robust stability and control analysis in multimachine power systems - Part-I: Framework development [J].
Djukanovic, M ;
Khammash, M ;
Vittal, V .
IEEE TRANSACTIONS ON POWER SYSTEMS, 1998, 13 (04) :1311-1316
[9]  
Golub G., 1965, Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis, V2, P205
[10]   PERTURBATION BOUNDS FOR DETERMINANTS AND CHARACTERISTIC POLYNOMIALS [J].
Ipsen, Ilse C. F. ;
Rehman, Rizwana .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008, 30 (02) :762-776