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

• Autores: johannes Schiffer, Emilia Fridman, Romeo Ortega, Jörg Raisch
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 74, 2016, págs. 71-79
• Idioma: inglés
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• Resumen

  • 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.