Delay-dependent frequency stability analysis of isolated island microgrid with virtual inertial control
WANG Wei
LIANG Jin-ming
ZENG Hong-bing
Abstract：This paper is concerned with the problem of delay-dependent frequency stability of isolated island micro-grid systems.Firstly,a virtual inertial control component is put in place to compensate for the insufficient inertia of the system caused by the increase in renewable energy.Then,a novel mathematical model for delay-dependent load fre-quency control of isolated island microgrids is constructed by using an advanced model reconstruction technique.Based on this,a Lyapunov-Krasovskii functional is built that includes extensive time delay information and fully incorporates model reconstruction technique,and a generalized free-matrix-based integral inequality and a linearization condition of quadratic function inequality are used to handle the functional's derivatives.Thus,a delay-dependent stability criterion in linear matrix inequalities is obtained.Finally,the effectiveness of the proposed method is demonstrated through simula-tion experiments and data analysis,which confirms its lower conservatism and the significant improvement in the dynamic performance of the microgrid systems due to the introduction of the virtual inertial control component.
Keywords：time delayisolated island microgridfrequency controlLyapunov-Krasovskii functionalvirtual inertia controlmodel reconstruction technique
Publication Date：2026-01-30
Online Publishing Date：2026-02-05(First online date of this platform, not the publication date of the document)
Pages：10( 149-158 )