THE DOMINANT POLE SPECTRUM EIGENSOLVER

This paper describes the first partial eigensolution algorithm to effi ciently and simultaneously compute the set of dominant closed-loop pol es in any high-order scalar transfer function. The proposed algorithm is called the Dominant Pole Spectrum Eigensolver (DPSE). The DPSE is a subspace iteration method, which operates on both left and right subs paces to produce better estimates for the dominant poles of the transf er function F(s). The results presented are related to the study of lo w-frequency oscillations in a large power system dynamic model, but th e proposed algorithm is completely general. Reduced-order models are e ffectively obtained with the use of DPSE, as shown in the payer.