Sincronização de uma classe de sistemas não-lineares acoplados com aplicações em sistemas elétricos de potência / Synchronization of a class of coupled non-linear systems with applications in electric power systems

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

Synchronization of a class of coupled non-linear systems is studied in this work. From the theoretical point of view, we present synchronization results that provide sufficient conditions on the vector field and estimates of the coupling parameters that guarantee synchronization. Differently from the existing approaches in the nonlinear systems literature, our results can be applied to demonstrate synchronization in systems that do not have global attractors, including even unstable cases, where the solutions are unbounded. When the system does not globally synchronize, a result that provides uniform estimates of attractors is used to present an estimate of a positively invariant set contained in the synchronization region. The theoretical results are applied to demonstrate synchronization between two nonlinear pendulums and two coupled Duffings systems. From the applied point of view, we study the problem of coherency between generators in electrical power systems. Using the theoretical results of this thesis, an index is proposed to detect and identify groups of weakly-coherent generators, the so called clusters. The proposed coherency analysis methodology proposed in this text does not require a great computational effort and is suitable for online applications. Our results have shown that this index analysis provides important information about the strong coupling between the generators, the location of the controlling unstable equilibrium points and the existence of combined unstable modes.

ASSUNTO(S)

coerência non global attractors stability synchronization atratores não globais coherency estabilidade sincronização clusters clusters

ACESSO AO ARTIGO

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