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

Johannes Schiffer; Emilia Fridman; Romeo Ortega; Jörg Raisch

doi:10.1016/j.automatica.2016.07.022

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

Johannes Schiffer, Emilia Fridman, Romeo Ortega, Jörg Raisch

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	71-79
Number of pages	9
Journal	Automatica
Volume	74
DOIs	https://doi.org/10.1016/j.automatica.2016.07.022
State	Published - 1 Dec 2016

Keywords

Droop control
Lyapunov–Krasovskii functionals
Microgrid control
Microgrid stability
Smart grid applications
Time delay systems
port-Hamiltonian systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2016.07.022

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title = "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.",

keywords = "Droop control, Lyapunov–Krasovskii functionals, Microgrid control, Microgrid stability, Smart grid applications, Time delay systems, port-Hamiltonian systems",

author = "Johannes Schiffer and Emilia Fridman and Romeo Ortega and J{\"o}rg Raisch",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

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doi = "10.1016/j.automatica.2016.07.022",

language = "الإنجليزيّة",

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T1 - Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation

AU - Schiffer, Johannes

AU - Fridman, Emilia

AU - Ortega, Romeo

AU - Raisch, Jörg

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - Droop control

KW - Lyapunov–Krasovskii functionals

KW - Microgrid control

KW - Microgrid stability

KW - Smart grid applications

KW - Time delay systems

KW - port-Hamiltonian systems

UR - http://www.scopus.com/inward/record.url?scp=84989173849&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2016.07.022

DO - 10.1016/j.automatica.2016.07.022

M3 - مقالة

SN - 0005-1098

VL - 74

SP - 71

EP - 79

JO - Automatica

JF - Automatica

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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