Title :
Application of 2nd order matrix perturbation to compute power system inter-area oscillation modes considering uncertainties
Author :
Jing Ma ; Tong Wang ; Zengping Wang ; Thorp, J.S.
Abstract :
Inter-area oscillation modes could be changed with the parameters of large scale power system varying. Therefore, complex modal perturbation is proposed to make modal analysis of inter-area oscillations considering uncertainties in this paper. The 1st order perturbation is applicable for the case of small modification of the parameter. However, if the parameter modification is fairly large, the 2nd order perturbation should be used to evaluate the oscillation modes to obtain higher computing accuracy. Firstly, the 2nd order and 1st order perturbation of eigenvalues and eigenvectors are deduced, respectively. Then, modes analysis with the parameter modification is also investigated using the 1st order perturbation and 2nd order perturbation, respectively. Finally, the simulated results of IEEE 16-machine, 68-bus study system demonstrate that 2nd order perturbation has much higher accuracy of modes calculation compared with 1st order perturbation in the case of large modification of parameters.
Keywords :
eigenvalues and eigenfunctions; modal analysis; oscillations; perturbation theory; power systems; 1st order perturbation; 2nd order matrix perturbation application; IEEE 16-machine study system; IEEE 68-bus study system; complex modal perturbation analysis; eigenvalues and eigenvectors; large scale power system parameter variation; parameter modification; power system interarea oscillation modes computation; Accuracy; Educational institutions; Eigenvalues and eigenfunctions; Generators; Oscillators; Power system stability; 1st order perturbation; 2nd order perturbation; Complex modal perturbation; Computing accuracy; Inter-area oscillation;
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.2012.6345271