| 引用本文: | 王炜,梁津铭,曾红兵.含虚拟惯性控制环节的孤岛微电网时滞相关频率稳定性分析[J].控制理论与应用,2026,43(1):149~158.[点击复制] |
| WANG Wei,LIANG Jin-ming,ZENG Hong-bing.Delay-dependent frequency stability analysis of isolated island microgrid with virtual inertial control[J].Control Theory & Applications,2026,43(1):149~158.[点击复制] |
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| 含虚拟惯性控制环节的孤岛微电网时滞相关频率稳定性分析 |
| Delay-dependent frequency stability analysis of isolated island microgrid with virtual inertial control |
| 摘要点击 181 全文点击 18 投稿时间：2023-12-19 修订日期：2025-10-09 |
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| DOI编号 10.7641/CTA.2024.30817 |
| 2026,43(1):149-158 |
| 中文关键词 时滞 孤岛微电网 频率控制 Lyapunov-Krasovskii泛函 虚拟惯性控制 模型重构技术 |
| 英文关键词 time delay isolated island microgrid frequency control Lyapunov-Krasovskii functional virtual inertia control model reconstruction technique |
| 基金项目 国家自然科学基金项目(62173136),湖南省杰青年基金项目(2020JJ2013),湖南省教育厅重点项目(23A0425)资助. |
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| 中文摘要 |
| 本文研究孤岛微电网系统的时滞相关频率稳定性问题.首先引入虚拟惯性控制环节对可再生能源高渗透
导致的系统惯性不足进行补偿,然后利用模型重构技术构建了孤岛微电网时滞相关负荷频率控制系统的数学模型,
在此基础上,构造包含更多时滞信息且充分融合模型重构技术的Lyapunov-Krasovskii泛函并利用广义自由权矩阵
积分不等式和二次函数不等式的线性化条件来处理泛函导数,从而得到基于线性矩阵不等式的时滞相关稳定性判
据. 最后,通过仿真实验和数据分析表明本文所提方法有着更低的保守性,并且验证了引入虚拟惯性控制环节能有
效地提升孤岛微电网的动态性能. |
| 英文摘要 |
| This paper is concerned with the problem of delay-dependent frequency stability of isolated island micro
grid systems. Firstly, a virtual inertial control component is put in place to compensate for the insufficient inertia of the
system caused by the increase in renewable energy. Then, a novel mathematical model for delay-dependent load fre
quency control of isolated island microgrids is constructed by using an advanced model reconstruction technique. Based
on this, a Lyapunov-Krasovskii functional is built that includes extensive time delay information and fully incorporates
model reconstruction technique, and a generalized free-matrix-based integral inequality and a linearization condition of
quadratic function inequality are used to handle the functional’s derivatives. Thus, a delay-dependent stability criterion in
linear matrix inequalities is obtained. Finally, the effectiveness of the proposed method is demonstrated through simula
tion experiments and data analysis, which confirms its lower conservatism and the significant improvement in the dynamic
performance of the microgrid systems due to the introduction of the virtual inertial control component. |