广域时滞电力系统控制器的优化算法及其应用

Optimization algorithm of wide-area controller for time-delay power system and its application

随着电力系统规模的不断扩大,控制信号在广域环境下产生的时滞现象会对电力系统的稳定运行产生难以忽略的负面影响。基于Lyapunov稳定性理论,研究在时滞影响下,基于状态反馈的广域电力系统控制器的设计问题。首先,通过构造Lyapunov-Krasovskii泛函,运用矩阵解析方法,得到了基于非线性的矩阵不等式结构;然后,将不等式中的非线性项做线性化处理,使其转化为隶属于线性矩阵不等式的锥补问题,在迭代求解时,对迭代次数进行了优化,平衡了迭代时间与时滞上界的关系。最后,通过仿真算例验证了所得控制器不仅具有较低的保守性,而且具有较快的响应速度,在工程上有较高的实用性。

With the expansion of the power system,the time-delay of control signal generated in the wide-area environment will produce a negative effects that can not be neglected for the stable operation of power system.Based on Lyapunov stability theory,the design problems of wide-area power system state feedback controller with time-delay was studied in this paper.Firstly,by constructing a Lyapunov-Krasovskii functional,using matrix resolution method,we derive a matrix inequality structure based on the non-linear.Then,transforming the non-linear matrix inequality into linear matrix inequality,it is converted to a cone complementarity problem subjecting to linear matrix inequality and solved by iteration,the time-delay upper bounds and the iteration times is balanced by optimization iIterative algorithm.Finally,simulation results indicated that the controller derived in the paper has less conservatism and faster speed,and better project practicality.