The Dominant Pole Spectrum Eigensolver

This paper describes the first partial eigensolution algorithm to efficiently and simultaneously compute the set of dominant closed-loop poles 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 subspaces to produce better estimates for the dominant poles of the transfer function F(s). The results presented are related to the study of low-frequency oscillations in a large power system dynamic model, but the proposed algorithm is completely general. Reduced-order models are effectively obtained with the use of DPSE, as shown in the payer.