Interval eigenvalue analysis of closed-loop control for power system oscillation with interval parameters

Author

Jing Ma ; Tong Wang ; Zengping Wang ; Thorp, J.S.

Author_Institution

State Key Lab. for Alternate Electr. Power Syst. with Renewable Energy Sources, North China Electr. Power Univ., Beijing, China

fYear

2012

fDate

22-26 July 2012

Firstpage

1

Lastpage

6

Abstract

A method for computing interval eigenvalues of closed-loop system is proposed using interval theory for low-frequency oscillation in power system. Firstly, the closed-loop system state matrix based on interval parameters is deduced, then, the algorithm for estimating the lower and upper bounds of the interval complex eigenvalues using matrix perturbation theory and interval extension theory is proposed. Finally, the results are derived in terms of eigenvalues and left and right eigenvectors of the power system. The simulation results of IEEE 4-generater 11-bus system demonstrated that the proposed method is effective and superiority.

Keywords

IEEE standards; closed loop systems; eigenvalues and eigenfunctions; matrix algebra; power system control; power system stability; IEEE 4-generater 11-bus system; closed-loop control; closed-loop system state matrix; interval complex eigenvalues; interval extension theory; interval parameters; low-frequency oscillation; matrix perturbation theory; power system oscillation; Damping; Eigenvalues and eigenfunctions; Oscillators; Power system stability; Thyristors; Uncertainty; Upper bound; Interval eigenvalues of closed-loop system; Interval parameters; Low-frequency oscillations; Matrix perturbation theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Power and Energy Society General Meeting, 2012 IEEE

Conference_Location

San Diego, CA

ISSN

1944-9925

Print_ISBN

978-1-4673-2727-5

Electronic_ISBN

1944-9925

Type

conf

DOI

10.1109/PESGM.2012.6345256

Filename

6345256