Transient stability criterion of a virtual synchronous generator with current limiting using the multiple Lyapunov functions method
DOI:10.19783/j.cnki.pspc.240575
Key Words:virtual synchronous generator  current limiting  angle-switched model  multiple Lyapunov function  saturated current angle
Author NameAffiliation
ZHU Yu1 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
TU Zengze1 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
YU Da1 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
LIU Jingrui2 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
LI Jiapeng2 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
LI Yujun2 1. Dispatching and Control Center, Guangdong Power Grid Company Limited, Guangzhou 130012, China
2. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 
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Abstract:In addressing the transient synchronization issue of grid-connected virtual synchronous generator considering current limiting strategies, traditional methods often rely on algebraic variable switching rules based on current amplitude. These methods make it difficult to analytically analyze the instability mechanisms, and the proposed criteria are also quite conservative. To tackle these issues, this paper introduces a switching model based on state variables using current limiting inequalities as a starting point. A transient stability criterion based on the multiple Lyapunov method is then proposed. This states that the system can remain stable if the Lyapunov functions of each subsystem exhibit a decreasing trend over two consecutive switching intervals. Finally, a method for setting the current limiting parameters is presented to maximize the system’s stability boundary. Simulation results demonstrate that the proposed criteria are less conservative than the equal-area method, and the effectiveness of the conclusions drawn in this paper is verified.
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