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

Johannes Schiffer (1) , Emilia Fridman (2) , Roméo Ortega (3) , Jörg Raisch (4)

1 University of Leeds
2 Department of Electrical Engineering
3 L2S - Laboratoire des signaux et systèmes
4 TU - Technical University of Berlin / Technische Universität Berlin

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.

Keywords: microgrid control; microgrid stability; smart grid applications; droop control; port-Hamiltonian systems; time delay systems; Lyapunov-Krasovskii functionals

Domains: Automatic Control Engineering

Johannes Schiffer, Emilia Fridman, Roméo Ortega, Jörg Raisch. Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation. Automatica, 2016, 74, pp.71-79. ⟨10.1016/j.automatica.2016.07.022⟩. ⟨hal-01633779⟩