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Extra info for Power System Coherency and Model Reduction

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The generation and load are not modified by the transfer. The shunt admittance is scaled to account for the off-nominal tap ratio of the ideal transformer. If a nonlinear load representation is used, then the constant MVA, constant current, and constant impedance load components are transferred individually and kept separate. Step 4: The original coherent buses are eliminated by series combination of the original branch and the ideal transformer (see Fig. 11). If several original branches connect to the eliminated bus (as for Bus 1), the ideal transformer is combined with each of them.

L. M. Peterson, Sparsity-Oriented Network Reduction in PICA Conference Proceedings (Minneapolis, 1973), pp. 384–390 10. F. W. Walker, Direct Solutions of Sparse Network Equations by Optimally Ordered Triangular Factorization. in Proceedings of IEEE55 (1967) pp. 1801–1809 Chapter 3 Slow Coherency and Aggregation Joe H. Chow Abstract This chapter presents the theory and analysis of slow coherency and aggregation. The main idea is that slow coherency arises from interarea modes, that is, groups of machines swinging together against each other at oscillatory frequencies slower than the local modes of the machines in the same coherent group swinging against each other.

61) The entries in the first column of Vs are all equal. 0149 Gen 12 At this point, Generator 11 has the largest magnitude in the second row and is selected as the reference of the second area. 63) 54 J. H. 64) The largest positive entries in the rows of Generators 2 and 12 are underlined. Thus we can conclude that Generators 1 and 2 are coherent, and Generators 11 and 12 are coherent, consistent with the observation from the time response shown in Fig. 2.

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