Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation

J. Schiffer E. Fridman Roméo Ortega 1 J. Raisch
1 L2S - Laboratoire des signaux et systèmes
Abstract : Motivated by the problem of stability in droop-controlled microgrids with delays, we consider a class of port-Hamiltonian systems with delayed interconnection matrices. For this class of systems, delay-dependent stability conditions are derived via the Lyapunov–Krasovskii method. The theoretical results are applied to an exemplary microgrid with distributed rotational and electronic generation and illustrated via a simulation example. The stability analysis is complemented by providing an estimate of the region of attraction of a microgrid with delays.
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Automatica, Elsevier, 2016, 74, pp.71-79. 〈10.1016/j.automatica.2016.07.022 〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01633779
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Soumis le : lundi 13 novembre 2017 - 13:28:47
Dernière modification le : jeudi 5 avril 2018 - 12:30:06

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CENTRALESUPELEC | L2S | SUP_LSS | UNIV-PARIS-SACLAY | SUP_SYSTEMES

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J. Schiffer, E. Fridman, Roméo Ortega, J. Raisch. Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation . Automatica, Elsevier, 2016, 74, pp.71-79. 〈10.1016/j.automatica.2016.07.022 〉. 〈hal-01633779〉

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