| 引用本文: | 翟正亮,严怀成,陈世明,常雨芳.时变时滞电力系统负荷频率控制的稳定性分析[J].控制理论与应用,2026,43(3):501~508.[点击复制] |
| ZHAI Zheng-liang,YAN Huai-cheng,CHEN Shi-ming,CHANG Yu-fang.Stability analysis of time-varying delayed load frequency control in power systems[J].Control Theory & Applications,2026,43(3):501~508.[点击复制] |
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| 时变时滞电力系统负荷频率控制的稳定性分析 |
| Stability analysis of time-varying delayed load frequency control in power systems |
| 摘要点击 630 全文点击 97 投稿时间：2023-12-12 修订日期：2025-02-11 |
| 查看全文 查看/发表评论 下载PDF阅读器 HTML |
| DOI编号 10.7641/CTA.2025.30802 |
| 2026,43(3):501-508 |
| 中文关键词 电力系统负荷频率控制 时变时滞 模型重构 三次多项式负定条件 |
| 英文关键词 load frequency control in power systems time-varying delay model reconstruction cubic polynomial negative definite conditions |
| 基金项目 国家自然科学基金项目(62333005,62073143),上海教委科研创新重大项目(2021–01–07–00–02–E00105),上海国际合作项目(24510714000)资助. |
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| 中文摘要 |
| 本文研究时变时滞电力系统负荷频率控制的稳定性问题.首先,对电力系统负荷频率控制的高维度模型进
行状态解构,并得到时滞状态和无时滞状态;然后,对解构后的系统状态进行重组并得到维度较低的系统模型.基
于低维度的系统模型,构建新的李雅普诺夫–克劳索夫斯基泛函;接着,利用二阶的基于自由矩阵的积分不等
式(FMBII)处理泛函微分中的二次乘积项积分.针对具有非线性项的泛函微分,使用三次多项式负定条件确立低保
守性的稳定判据,并建立线性矩阵不等式;最后,通过仿真实验验证了本文方法的有效性和优越性. |
| 英文摘要 |
| This paper researches the stability problem for time-varying delayed load frequency control in power systems.
First of all, the high dimension load frequency control model in power systems is deconstructed to obtain the delayed states
and delay free states. Then, these system states are reorganized and a lower dimensional system model is constructed.
Based on the lower dimensional system model, a novel Lyapunov-Krasovskii functional is constructed. Next, the integral
quadratic terms in the derivative of the functional are estimated by employing the second order free-matrix-based integral
inequality (FMBII). For the functional derivative with nonlinear terms, the cubic polynomial negative definite conditions
are used to establish the stability criteria and the linear matrix inequalities. Eventually, the effectiveness and superiority of
the methods proposed in this paper are proved by some simulation experiments. |
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