Common Lyapunov Function Based Stability Analysis of VSC With Limits of Phase Locked Loop

The stability of the grid-connected voltge source converter (VSC) with limits of phase locked loop (PLL) is investigated in this letter. The studied system is a nonlinear switched system that consists of three subsystems and a switching rule that connects switching between these subsystems. It is pr...

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Bibliographic Details
Published in:IEEE transactions on power systems 2023-03, Vol.38 (2), p.1-4
Main Authors: Tang, Yingyi, Li, Yujun
Format: Article
Language:English
Subjects:
Asymptotic stability
Grid-connected VSC
large disturbance stability
Liapunov functions
limits of PLL
Lyapunov methods
Phase locked loops
Power system stability
Stability analysis
Stability criteria
Subsystems
switched system
Switched systems
Switches
Switching
Systems stability
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Summary:The stability of the grid-connected voltge source converter (VSC) with limits of phase locked loop (PLL) is investigated in this letter. The studied system is a nonlinear switched system that consists of three subsystems and a switching rule that connects switching between these subsystems. It is proved that the three subsystems share one common Lyapunov function, and the derivation of the constructed Lyapunov function for each subsystem with respect to time is negative. As a result, one conservative stability region for the studied switched system is derived, and the system can be asymptotically stable under arbitrary switching within the derived stability region. Numerical results show that implementing limits of PLL is one simple and effective approach to enhance the system stability of VSCs.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2022.3233762