Transient Voltage Stability Assessment Approach of Hybrid Grid-integrated System Containing Grid-following and Grid-forming Converters Based on SSMLE

WANG Changjiang; YIN Haofan; JIANG Tao; LIU Xianchao; LI Guoqing; LIU Hui

doi:10.13334/j.0258-8013.pcsee.250095

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Transient Voltage Stability Assessment Approach of Hybrid Grid-integrated System Containing Grid-following and Grid-forming Converters Based on SSMLE

更新时间：2026-10-05

- Transient Voltage Stability Assessment Approach of Hybrid Grid-integrated System Containing Grid-following and Grid-forming Converters Based on SSMLE
- Vol. 46, Issue 3, Pages: 875-886(2026)
- 作者机构：
  
  1. 现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林市,吉林省,132012
  2. 国网冀北电力有限公司电力科学研究院(华北电力科学研究院有限责任公司)，北京市西城区,100045
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.250095
  CLC：
- Published：2026
- 稿件说明：
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WANG Changjiang, YIN Haofan, JIANG Tao, et al. Transient Voltage Stability Assessment Approach of Hybrid Grid-integrated System Containing Grid-following and Grid-forming Converters Based on SSMLE[J]. 2026, 46(3): 875-886.
DOI：

WANG Changjiang, YIN Haofan, JIANG Tao, et al. Transient Voltage Stability Assessment Approach of Hybrid Grid-integrated System Containing Grid-following and Grid-forming Converters Based on SSMLE[J]. 2026, 46(3): 875-886. DOI： 10.13334/j.0258-8013.pcsee.250095.

摘要

跟-构网型(grid following and grid-forming，GFL-GFM)变流器混合并网系统中多类型控制策略及控制切换行为使电压响应特性复杂多变，难以快速、准确评估其暂态电压稳定状态。为此，该文提出一种基于切换系统最大李雅普诺夫指数(switching system maximum Lyapunov exponent，SSMLE)的跟-构网型变流器混合并网系统暂态电压稳定评估方法。首先，计及系统多运行状态和运行参数对暂态电压响应特性影响，建立混合并网系统不同运行工况下电压轨线变分方程；然后，在各运行状态下通过变分方程分段求解SSMLE，并采用切换补偿矩阵修正控制切换时刻积分终值矩阵偏差，提升电压稳定状态判别速度和准确度；其次，利用SSMLE分析系统关键参数对暂态电压稳定性的影响并确定暂态电压稳定参数域，可为调度人员获取系统运行状态、更新电压稳控策略提供参考；最后，通过GFL-GFM变流器混合并网系统和多机硬件在环仿真系统的仿真分析，验证所提方法的准确性和有效性。

Abstract

In hybrid grid-integrated system with grid-following and grid-forming (GFL-GFM) converters

the coexistence of multiple control strategies and frequent control mode switching leads to the complex voltage response characteristics

making it challenging to rapidly and accurately assess transient voltage stability. To address these issues

this paper proposes a transient voltage stability assessment method for GFL-GFM hybrid grid-integrated system based on the maximum Lyapunov exponent of switching system (SSMLE). First

the voltage trajectory variational equations under different operating conditions of the hybrid grid-connected system are established

taking into account the influence of multiple operating states and system parameters on transient voltage response characteristics. Then

the SSMLE is computed by segmentally solving the variational equations within each operating state. To enhance the speed and accuracy of voltage stability assessment

a switching compensation matrix is introduced to correct deviations in the integral terminal matrix at control switching instants. Subsequently

the SSMLE is used to analyze the influence of key system parameters on transient voltage stability and to determine the corresponding parameter region for stability. This provides a reference for system operators to assess operating conditions and update voltage stability control strategies. Finally

the proposed method is validated through simulations on a hybrid grid-integrated system with GFL-GFM converters and a multi-machine hardware-in-the-loop simulation platform.

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