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Novel Results on Slow Coherency in Consensus and Power Networks

Author(s):

D. Romeres, F. Dörfler, F. Bullo
Conference/Journal:

European Control Conference (ECC), Zürich, Switzerland
Abstract:

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 loworder 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. Moreover, we identify the reduced aggregate models as generalized first or second-order Laplacian flows with multiple time constants, aggregate damping and inertia matrices, and possibly adverse interactions.

Year:

2013
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { RomD_r:2013:IFA_4906,
    author={D. Romeres and F. D{\"o}rfler and F. Bullo},
    title={{Novel Results on Slow Coherency in Consensus and Power
	  Networks}},
    booktitle={European Control Conference (ECC)},
    pages={},
    year={2013},
    address={Z{\"u}rich, Switzerland},
    month=jul,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4906}
}
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