Title :
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
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;
Conference_Titel :
Power and Energy Society General Meeting, 2012 IEEE
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4673-2727-5
Electronic_ISBN :
1944-9925
DOI :
10.1109/PESGM.2012.6345256
