1995 Volume 115 Issue 9 Pages 1084-1090
For complex and large scale power systems, it is very important to efficiently carry out dynamic stability analyses. The QR method, which is able to obtain all eigenvalues with enough accuracy, cannot unfortunately be a useful tool for large scale power systems due to the large amount of storage and inhibitively long computation time. Moreover, only dominant eigenvalues corresponding to poorly damped oscillation modes are needed in actual dynamic stability analyses. Although several methods of selectively obtaining a desired set of eigenvalues have been proposed so far, they are not fully satisfactory and they need further refinements.
This paper presents an efficient algorithm based on the simultaneous iteration method (SI method) that can selectively compute the dominant eigenvalues with less execution time. The proposed algorithm has made several improvements over the original SI method, thus realizing faster calculations and ease of use. The algorithm has been successfully applied to the IEEE118 node test system with 54 units.