| 引用本文: | 朱 誉,屠增泽,余 达,等.考虑限流的基于多李雅普诺夫法的虚拟同步机暂态稳定判据[J].电力系统保护与控制,2025,53(03):120-129.[点击复制] |
| ZHU Yu,TU Zengze,YU Da,et al.Transient stability criterion of a virtual synchronous generator with current limiting using the multiple Lyapunov functions method[J].Power System Protection and Control,2025,53(03):120-129[点击复制] |
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| 摘要: |
| 在考虑电流限幅策略的虚拟同步机并网的暂态同步问题中，传统方法构建的系统模型是基于电流幅值的代数变量切换规则，难以对失稳机理进行解析分析，且所提判据保守性也较大。针对此问题，以限流不等式为切入点，构建了所研究系统基于状态变量的切换模型。并提出了基于多李雅普诺夫方法的暂态稳定判据，即当各子系统的李雅普诺夫函数在两个连续切换区间内呈减小趋势时，所研究系统能够保持稳定。最后，提出了一种限流参数的设置方法使得系统具有最大稳定边界。仿真结果表明，所提判据相比等面积法具有更小的保守性，并验证了所提结论的有效性。 |
| 关键词: 虚拟同步机 电流限幅 相角切换模型 多李雅普诺夫函数 饱和电流角 |
| DOI：10.19783/j.cnki.pspc.240575 |
| 投稿时间：2024-05-10修订日期：2024-09-29 |
| 基金项目:南方电网公司科技项目资助(036000KK52220018 (GDKJXM20220249))；国家自然科学基金项目资助(52277122) |
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| Transient stability criterion of a virtual synchronous generator with current limiting using the multiple Lyapunov functions method |
| ZHU Yu1,TU Zengze2,YU Da1,LIU Jingrui2,LI Jiapeng2,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) |
| 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. |
| Key words: virtual synchronous generator current limiting angle-switched model multiple Lyapunov function saturated current angle |
