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

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  • Bezerra, Licio Hernanes
  • Martins, Nelson

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.

Suggested Citation

  • Bezerra, Licio Hernanes & Martins, Nelson, 2019. "Eigenvalue methods for calculating dominant poles of a transfer function and their applications in small-signal stability," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 113-121.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:113-121
    DOI: 10.1016/j.amc.2018.10.081
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    Cited by:

    1. Gharebaghi, Sina & Chaudhuri, Nilanjan Ray & He, Ting & La Porta, Thomas, 2023. "An approach for fast cascading failure simulation in dynamic models of power systems," Applied Energy, Elsevier, vol. 332(C).
    2. Asghar Sabati & Ramazan Bayindir & Sanjeevikumar Padmanaban & Eklas Hossain & Mehmet Rida Tur, 2019. "Small Signal Stability with the Householder Method in Power Systems," Energies, MDPI, vol. 12(18), pages 1-16, September.

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