Large-disturbance Modeling and Stability Analysis of Grid-following Converters Considering LVRT Control

WANG Yu; ZHENG Huajun; YUAN Xufeng; ZHANG Chao; XIONG Wei; CHEN Kexin; CAI Yongxiang

doi:10.20204/j.sp.2026.03002

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Large-disturbance Modeling and Stability Analysis of Grid-following Converters Considering LVRT Control

更新时间：2026-04-08

- Large-disturbance Modeling and Stability Analysis of Grid-following Converters Considering LVRT Control
- Vol. 54, Issue 3, Pages: 12-20(2026)
- 作者机构：
  
  1. 1.贵州大学电气工程学院,贵州,贵阳,550025
  2. 贵州电网有限责任公司兴义供电局，贵州兴义,562400
  3. 贵州电网有限责任公司电力科学研究院,贵州,贵阳,550004
- 作者简介：
- 基金信息：
- DOI：10.20204/j.sp.2026.03002
  CLC：
- Published：2026
- 稿件说明：
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王宇,郑华俊,袁旭峰,张超,熊炜,陈可欣,蔡永翔.计及LVRT控制的跟网型变换器大扰动建模与稳定性分析[J].智慧电力,2026,54(3):12-20.

doi:10.20204/j.sp.2026.03002
王宇,郑华俊,袁旭峰,张超,熊炜,陈可欣,蔡永翔.计及LVRT控制的跟网型变换器大扰动建模与稳定性分析[J].智慧电力,2026,54(3):12-20. DOI： 10.20204/j.sp.2026.03002.

doi:10.20204/j.sp.2026.03002 DOI：

摘要

针对弱电网下跟网型变换器（GFL）切换至低电压穿越（LVRT）控制后，因频繁进出LVRT控制而导致暂态失稳的问题，提出一种计及LVRT控制的跟网型变换器大扰动建模与稳定性分析方法。首先，采用可导函数对限幅环节进行光滑化处理，以克服其不可导特性，从而建立计及LVRT限幅控制的全阶非线性微分方程模型；其次，基于Takagi-Sugeno（TS）模糊模型并结合线性矩阵不等式（LMI）方法，构造系统的Lyapunov函数并估算其吸引域，进而系统分析关键参数对LVRT过程中暂态稳定性的影响机制；最后，通过Matlab/Simulink仿真与硬件在环（HIL）实验，验证所构建吸引域的有效性以及系统参数对暂态稳定性的调控规律。仿真与实验结果表明，在LVRT过程中，若系统状态的初始点位于平衡点的吸引域内时，系统能够维持暂态稳定；合理优化控制器参数不仅能够有效扩大吸引域的范围，还能显著增强系统在故障穿越期间的动态鲁棒性与整体暂态稳定性，所提方法可为提升新能源发电系统在电网扰动下的安全运行能力提供理论支撑和工程指导。

Abstract

To address the transient instability issue caused by frequent entry and exit of low voltage ride-through（LVRT）control in grid-following converters（GFL）connected to weak grids after switching to LVRT mode

this paper proposes a large-disturbance modeling and stability analysis method for GFL considering LVRT control. First

a differentiable function is employed to smooth the limiting links

overcoming their non-differentiable characteristics

thereby establishing a full-order nonlinear differential equation model that accounts for LVRT limiting control. Second

based on the Takagi-Sugeno（TS）fuzzy model and combined with the linear matrix inequality（LMI）method

the Lyapunov function of the system is constructed and its region of attraction is estimated

systematically analyzing the influence mechanism of key parameters on transient stability during LVRT. Finally

the effectiveness of the constructed region of attraction and the regulatory effects of system parameters on transient stability are verified through Matlab/Simulink simulations and hardware-in-the-loop（HIL）experiments. Simulation and experimental results indicate that during LVRT

if the initial state of the system lies within the region of attraction of the equilibrium point

the system can maintain transient stability. Reasonably optimizing controller parameters not only effectively expands the region of attraction but also significantly enhances the dynamic robustness and overall transient stability of the system during fault ride-through. The proposed method can provide theoretical support and engineering guidance for improving the safe operation capability of renewable energy generation systems under grid disturbances.

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