Abstract
This paper discusses stability analysis using spectral discretization of time-delayed electric power system. The stability assessment is discussed in terms of influence of time delays on inter-area oscillation modes of the power system models: well-known 4-generator and 14-generator Southeast Australian power system. The three dominant inter-area modes available in full-order power system are retained in its equivalent representation, i.e., reduced-order model, obtained with the input-output variables of the generator that participates actively to low-frequency oscillation modes. The pseudospectrum analysis suggests the most dominant modes to be sensitive against time delay. The rightmost characteristic roots and the robust spectral abscissa are computed over a wide range of time delays in the input-output variables. The approach applied in study computes all the characteristic roots in the right half s-plane with the number of discretization points selected in such a way that rational approximation of the exponential functions remains accurate in this region. The effect of time delays on the computation of spectral abscissa is also investigated. Further, reduced-order time-delayed model is also used to design the wide-area controller by optimizing (minimizing) the robust spectral abscissa.
Original language | English |
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Pages (from-to) | 1882-1897 |
Number of pages | 16 |
Journal | International Transactions on Electrical Energy Systems |
Volume | 26 |
Issue number | 9 |
Early online date | 2016 |
DOIs | |
Publication status | Published - 1 Sep 2016 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Power system
- Right-hand characteristic roots
- Spectral abscissa
- Stabilization