具有随机增益的电力系统弹性负荷频率H_(∞)控制

Elastic Load Frequency H_(∞) Control for Power Systems with Random Gains

为让具有外部负载扰动、随机执行器故障和随机增益波动的电力系统能够稳定运行,文章研究了一种弹性可靠的电力系统H_(∞)负荷频率控制设计问题,不同于以往所报道的工作,该文首先引入了独立的随机变量并利用其伯努利分布的特性来表征了电力系统的执行器故障和增益波动;然后通过采用弹性控制策略、经典的逆凸定理以及一种新颖的Lyapunov-Krasovskii泛函,并基于一种弹性可靠比例积分型的负荷频率控制,提出了使电力系统的均方渐近稳定且具有指定H_(∞)控制性能指标的充分条件;另外,H_(∞)滤波器参数通过求解一组线性矩阵不等式而得到;最后给出了仿真例子去证明文章所提出的方法的优越性和可行性;仿真结果表明,与相似文献中已有结果相比,文章所提出的方法得到的H_(∞)控制性能较好。

In order to make the power system with external load disturbance,random actuator failure and random gain fluctuation run stably,a flexible and reliable power system H_(∞) load frequency control design is studied in this paper.This paper is different from previous studies,independent random variables are firstly introduced,and their Bernoulli distribution properties are used to characterize actuator faults and gain fluctuations in power system.Then,by adopting the flexible control strategy,the classical inverse convex theorem and a novel Lyapunov-Krasovskii functional,and based on a load frequency control with flexible reliable proportional-integral model,it is proposed to make the mean square asymptotically stable in the power system with the sufficient condition for H_(∞) control performance metrics.Additionally,the H_(∞) filter parameters are obtained by solving a set of linear matrix inequalities.Finally,a simulation example is given to prove the superiority and feasibility of the proposed method in this paper.The simulation results show that compared with the existing results in similar literatures,and the H_(∞) control performance obtained by the proposed method is better.