| 引用本文: | 汪 豪,钱 伟,郭建峰,费树岷.变时滞影响下广域电力系统的H∞控制[J].电力系统保护与控制,2021,49(18):70-80.[点击复制] |
| WANG Hao,QIAN Wei,GUO Jianfeng,FEI Shumin.H∞ control for a wide-area power system with time-varying delay[J].Power System Protection and Control,2021,49(18):70-80[点击复制] |
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| 摘要: |
| 针对大规模互联电力系统中时滞和干扰现象对系统运行造成的影响，研究了变时滞影响下广域电力系统H∞控制问题。首先，构造新的增广向量和包含更多时滞信息的Lyapunov-Krasovskii泛函。然后，利用Wirtinger积分不等式、基于辅助函数的二重积分不等式和凸组合等方法对求导后的泛函进行估计，得到了具有较小保守性的稳定性结论。在此基础上，设计了无记忆的H∞状态反馈控制器。并提出一种分步线性化的方法，将H∞控制器存在性条件转化为严格线性矩阵不等式的形式。最后通过仿真验证了该方法可以扩大系统的稳定运行区域，控制器具有良好的控制效果。 |
| 关键词: 广域电力系统 H∞控制 变时滞 干扰 积分不等式 |
| DOI：DOI: 10.19783/j.cnki.pspc.201571 |
| 投稿时间：2020-12-19修订日期：2021-01-10 |
| 基金项目:国家自然科学基金项目资助(61973105)；河南省创新型科技团队(CXTD2016054)；中原高水平人才专项支持计划(ZYQR201912031)；河南省高校科技创新团队(20IRTSTHN019)；河南省高校基本科研业务费专项资金资助(NSFRF170501) |
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| H∞ control for a wide-area power system with time-varying delay |
| WANG Hao1,QIAN Wei1,GUO Jianfeng1,FEI Shumin2 |
| (1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China;
2. School of Automation, Southeast University, Nanjing 210096, China) |
| Abstract: |
| We consider the effects of time delay and disturbances on the stable operation of large-scale interconnected power systems, and the H∞ control problem of wide-area power systems is investigated. First, a new augmented vector and Lyapunov-Krasovskii function with more delay information are constructed. Then, the Wirtinger integral inequality, double integral inequality via auxiliary function and a convex combination approach are used to estimate the derivative of the function and a less conservative stability criterion is obtained. A memoryless H∞ state feedback controller is designed, and by introducing a novel staged linearization method, the existing condition of the H∞ controller is obtained in terms of linear matrix inequality. Finally, numerical simulations are given to illustrate that the proposed methods improve the stable operation region of the power systems, and the designed controller has good control performance.
This work is supported by the National Natural Science Foundation of China (No. 61973105). |
| Key words: wide-area power systems H∞ control time-varying delay disturbances integral inequality |
