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Synchronization and Transient Stability in Power Networks and Non-Uniform Kuramoto Oscillators


F. Dörfler, F. Bullo

American Control Conference, Baltimore, Maryland, USA, pp. 930-937

Motivated by recent interest for multi-agent systems and smart grid architectures, we discuss the synchronization problem for the network-reduced model of a power system with non-trivial transfer conductances. Our key insight is to exploit the relationship between the power network model and a first-order model of coupled oscillators. Assuming overdamped generators (possibly due to local excitation controllers), a singular perturbation analysis shows the equivalence between the classic swing equations and a non-uniform Kuramoto model characterized by multiple time constants, non-homogeneous coupling, and non-uniform phase shifts. By extending methods from synchronization theory and consensus protocols, we establish sufficient conditions for synchronization of non-uniform Kuramoto oscillators. These conditions reduce to and improve upon previously-available tests for the classic Kuramoto model. By combining our singular perturbation and Kuramoto analyses, we derive concise and purely algebraic conditions that relate synchronization and transient stability of a power network to the underlying network parameters and initial conditions.


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% Autogenerated BibTeX entry
@InProceedings { D_rBul:2010:IFA_4921,
    author={F. D{\"o}rfler and F. Bullo},
    title={{Synchronization and Transient Stability in Power Networks
	  and Non-Uniform Kuramoto Oscillators}},
    booktitle={American Control Conference},
    address={Baltimore, Maryland, USA},
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