Ltg. Lima et al., NEW METHODS FOR FAST SMALL-SIGNAL STABILITY ASSESSMENT OF LARGE-SCALEPOWER-SYSTEMS, IEEE transactions on power systems, 10(4), 1995, pp. 1979-1985
This paper describes new matrix transformations suited to the efficien
t calculation of critical eigenvalues of large scale power system dyna
mic models. The key advantage of these methods is their ability to con
verge to the critical eigenvalues (unstable or low damped) of the syst
em almost independently of the given initial estimate. Matrix transfor
ms such as inverse iteration and S-matrix can be thought as special ca
ses of the described method. These transforms can also be used to inhi
bit convergence to a known eigenvalue, yielding better overall efficie
ncy when finding several eigenvalues.