不健全广域信息下时滞非线性鲁棒综合控制器设计

同步相量测量单元(PMU)在电力系统中的广泛应用为基于广域测量系统(WAMS)的广域控制提供了实现条件。由于远方反馈信息的不健全和时滞影响，基于广域信息的闭环电力系统将是一个时滞非线性系统。针对这种时滞非线性系统，结合逆系统理论和鲁棒H￥控制理论，提出不健全广域信息下考虑时滞影响的非线性鲁棒综合控制器的设计方法。首先，应用逆系统方法将强非线性电力系统进行线性化，然后，根据广域信息的不确定性，推导具有干扰输入的时滞线性系统模型，最后，应用线性矩阵不等式(LMI)理论设计该线性系统的鲁棒反馈控制律，进而得到原非线性电力系统的最终控制规律。时域仿真结果表明，当考虑广域信息的不健全和时滞影响时，非线性鲁棒综合控制器仍具有较小的系统过渡时间、振荡次数及振荡幅度，能大幅度增加系统的故障临界切除时间。

Design of a Nonlinear Robust Integrated Controller Based on Incomplete Time-delay Wide-area Measurement Information

Centralized control using wide-area information has been suggested to enhance the dynamic performance of large interconnected power systems. Because of the distance involved in wide-area interconnections, communication delay has to be considered, and the closed-loop power systems need be modeled as time-delay nonlinear systems. Moreover, the wide-area information is incomplete when not all generators in power system are equipped with phasor measurement units (PMUs). In order to eliminate the effects of power system model's nonlinearity and wide-area information's uncertainty included time delays and incompleteness, a novel approach based on inverse system algorithm and linear matrix inequality (LMI) technique is proposed to design a nonlinear robust integrated controller. Digital simulation demonstrates that the four-machine system under the nonlinear robust integrated control has less settling time, swing times, oscillatory peak value and more critical clear time for various time delays of remote measured information than that under PID control, nonlinear decentralized integrated control or nonlinear global integrated control.