不确定区间变时滞电力系统的镇定器设计  

Stabilizer design of uncertain power systems under the influence of interval time-varying delays

作　　者：钱伟[1] 吴嘉欣 费树岷[2] QIAN Wei;WU Jia-xin;FEI Shu-min(School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,China;School of Automation,Southeast University,Nanjing 210096,China)

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454000 [2]东南大学自动化学院,南京210096

出　　处：《电机与控制学报》2020年第11期82-92,共11页Electric Machines and Control

基　　金：国家自然科学基金(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(NSFRF170501)。

摘　　要：针对电力系统的稳定运行受大规模互联电网中时滞现象的严重影响,研究了不确定区间变时滞电力系统在受时滞影响时的稳定性分析及镇定器设计问题。首先,构造了包含一种新的增广向量和一种多重积分的Lyapunov-Krasovskii泛函。然后,在单重Wirtinger积分不等式的基础上引入放缩程度更小的双重Wirtinger积分不等式对泛函导数进行估计,并采用凸组合方法,得到具有更小保守性的系统鲁棒性稳定判据。此外,设计了带记忆和无记忆反馈控制器,再对非线性项进行分步线性化处理,得到严格满足线性矩阵不等式的反馈控制器的设计条件。最后,通过仿真结果说明本文方法在提高控制器性能及扩大电力系统稳定运行区域方面具有更好地效果。Given the serious effect of time-delay phenomena in large-scale interconnected power systems on the stable operation of power systems,the stability analysis and stabilizer design problems of uncertain power systems under the influence of interval time-varying delays are investigated this paper.Firstly,an augmented vector and Lyapunov-Krasovskii functional with multiple integrals were constructed.Then,based on the single Wirtinger integral inequality,double Wirtinger inequality with a smaller scale and convex combination were used to obtain the less conservative stability criterion.On this basis,the memory and memoryless feedback controllers of the considered systems were designed,and by introducing the bifurcation linearization method,the existing condition of stablilizer was obtained in terms of linear matrix inequality.Finally,simulations were given to prove that the proposed method expands the stable area of the power system effectively and improves the control performance of the feedback controller.

关 键 词：电力系统 时滞 LYAPUNOV-KRASOVSKII泛函 积分不等式 反馈控制器 

分 类 号：TM712[电气工程—电力系统及自动化]