A quadratic convex framework with bigger freedom for the stability analysis of a cyber-physical microgrid system

Jing He, Yan Liang, Xiaohui Hao, Feisheng Yang, Quan Pan

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Information exchange between a microgrid central controller and local controllers is supported by low-bandwidth communication channels, leading to an inevitable delay with time-varying characteristics that adversely affect the microgrid dynamics and even cause instability. This study addresses the problem of stability analysis for a load frequency control (LFC) microgrid system with the interval time-varying delay. First, a modeling approach is proposed for the cyber-physical microgrid, in which the physical interconnection between the cyber-physical components is established. Given that a quadratic function is often introduced in stability analysis and the negative determination is crucial to reducing the conservatism, a novel quadratic convex framework with adjustable free parameters that relaxes the quadratic function negative-determination conditions is developed. Next, the delay-dependent stability criterion of the cyber-physical LFC microgrid is obtained on the basis of augmented Lyapunov-Krasovskii functional and Bessel-Legendre inequality together with mixed convex combination techniques. This reduces the conservatism without requiring extra decision variables. Finally, two types of case studies demonstrate the merits of the proposed scheme.

Original languageEnglish
Article number122202
JournalScience China Information Sciences
Volume66
Issue number2
DOIs
StatePublished - Feb 2023

Keywords

  • cyber-physical microgrid
  • load frequency control
  • quadratic convex framework
  • stability analysis

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