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

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 p...

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Bibliographic Details
Published in:Science China. Information sciences 2023-02, Vol.66 (2), p.122202, Article 122202
Main Authors: He, Jing, Liang, Yan, Hao, Xiaohui, Yang, Feisheng, Pan, Quan
Format: Article
Language:English
Subjects:
Communication
Computer Science
Delay
Distributed generation
Dynamic stability
Euclidean space
Frequency control
Fuel cells
Inequality
Information Systems and Communication Service
Quadratic equations
Research Paper
Stability analysis
Stability criteria
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Summary: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.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-021-3433-8