Explorations and Extensions of
نویسنده
چکیده
In this thesis we further develop the theory of synchrony and Synchronic Modal Equivalencing (SME), as applied to models of power system dynamics. First, we extend the SME partitioning algorithm to include the grouping of load buses. The generalized eigenanalysis setup previously used for load bus grouping in slow coherency is adapted to the synchrony framework. The extended SME partitioning algorithm is then applied to two different power system models. The second part of this thesis deals with synchrony theory. We examine the sensitivity of a swing model and its eigenstructure to order e perturbations on a cutset of lines. Both symbolically and numerically, we establish that the changes in the eigenvalues and eigenvectors are of the same order as the changes in the line parameters. We apply our sensitivity derivations to a simple power system model. Lastly, we examine the emergence of ideal synchrony from an idealized swing model. By varying the mutual couplings in a nine-generator model, we watch the evolution of the eigenvectors and see synchrony in both the slow and fast modes of the system. We also compare our partitioning results to those achieved using slow coherency and demonstrate why synchrony has the potential for better results. Thesis Supervisor: George C. Verghese Title: Professor of Electrical Engineering
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