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

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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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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