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Iterative infinitesimal generator discretization-based eigen-analysis of large power system considering wide-area communication delays

In the processing of wide-area measurements, time delays are inevitably introduced into power system. The characteristic equation of the time delay power system is transcendental. For stability analysis of large scale power systems considering wide-area time delays, an iterative infinitesimal generator discretization (HGD) based eigenvalue method is proposed in this paper to accurately compute a reduced set of rightmost eigenvalues. Firstly, a sparse approximant matrix to the infinitesimal generator of the time delay power system is formulated. Secondly, a set of approximants to rightmost eigenvalues of the system are computed by implicitly restarted Arnoldi (TRA) method from the shifted and inverse approximant matrix. Then, the corresponding accurate eigenvalues are obtained by the Newton's method. Since the sparsity of both the approximant matrix and the augmented system matrices is fully exploited, the involved huge computational burden is alleviated which makes the method able to efficiently handle power systems considering wide-area time delays. The results of the two-area four-machine test system demonstrate the effectiveness of the proposed method.