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Novel Results on Slow Coherency in Power Networks


D. Romeres


The thesis was conducted during a period of six months at the University of Cali- fornia 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 ap- proach 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 pertur- bation 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 first- order 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.


Type of Publication:

(12)Diploma/Master Thesis

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% Autogenerated BibTeX entry
@PhdThesis { Xxx:2012:IFA_4932
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