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  4. Nonlinear Transient Stability Analysis of Phased-Locked Loop Based Grid-Following Voltage Source Converters Using Lyapunov’s Direct Method
 
research article

Nonlinear Transient Stability Analysis of Phased-Locked Loop Based Grid-Following Voltage Source Converters Using Lyapunov’s Direct Method

Mansour, Milad Zarif
•
Me, Si Phu
•
Hadavi, Sajjad
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February 8, 2021
IEEE Journal of Emerging and Selected Topics in Power Electronics

In this paper, using Lyapunov’s stability theorem, the transient stability conditions for a grid-following Voltage Source Converter (VSC) are found. These conditions take into account both the grid specifications and the VSC’s dynamics. The derived conditions are based on a well-known nonlinear model of the VSC’s Phase-Locked Loop. To evaluate the stability of the nonlinear system, Lyapunov’s direct method is employed. To this end, a new Lyapunov function is proposed, and its characteristics are analysed. Using this Lyapunov function, the domain of attraction of the system’s equilibrium point is calculated. Additionally, a novel system strength index based on the domain of attraction of the system is proposed. The privilege of this index over the conventional indices are absoluteness, VSC’s dynamics consideration, and comparability of different VSCs with each other from a stability point of view. In the end, the correctness of the proposed stability analysis is validated via simulation in Matlab/PLECS and experiment.

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Type
research article
DOI
10.1109/JESTPE.2021.3057639
Author(s)
Mansour, Milad Zarif
Me, Si Phu
Hadavi, Sajjad
Badrazadeh, Babak
Karimi, Alireza  
Bahrani, Behrooz  
Date Issued

2021-02-08

Published in
IEEE Journal of Emerging and Selected Topics in Power Electronics
Start page

1

End page

1

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
SCI-STI-AK  
Available on Infoscience
February 10, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/175196
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