Eigenvalue methods for calculating dominant poles of a transfer function and their applications in small-signal stability

Licio Hernanes Bezerra and Nelson Martins

Applied Mathematics and Computation, 2019, vol. 347, issue C, 113-121

Abstract: In this paper, we give a new short proof of the local quadratic convergence of the Dominant Pole Spectrum Eigensolver (DPSE). Also, we introduce here the Diagonal Dominant Pole Spectrum Eigensolver (DDPSE), another fixed-point method that computes several eigenvalues of a matrix A at a time, which also has local quadratic convergence. From results of some experiments with a large power system model, it is shown that DDPSE can also be used in small-signal stability studies to compute dominant poles of a transfer function of the type cT(A−sI)−1b, where s∈C,b and c are vectors, by its own or combined with DPSE. Besides DDPSE is also effective in finding low damped modes of a large scale power system model.

Keywords: Eigenvalues; Fixed-point methods; Sparse matrices; Small-signal stability (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:113-121

DOI: 10.1016/j.amc.2018.10.081

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