The thesis was conducted during a period of six months at the University of California of Santa Barbara in collaboration with Prof. F. Bullo and the PhD student Florian Dörfler. An article was submitted for the European Control Conference 2013-Zurig. In this thesis we revisit the classic slow coherency and area aggregation approach to model reduction in power networks. The slow coherency approach is based on identifying sparsely and densely connected areas of a network, within which all generators swing coherently. A time-scale separation and singular perturbation analysis then results in a reduced low-order system, where coherent areas are collapsed into aggregate variables. Here, we study the application of slow coherency and area aggregation to firstorder consensus systems and second-order power system swing dynamics. We unify different theoretic approaches and ideas found throughout the literature, we relax some technical assumptions, and we extend existing results. In particular, we provide a complete analysis of the second-order swing dynamics – without restrictive assumptions on the system damping. vivii Content
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