摘要
为了研究电力系统小干扰稳定分析和控制的有效方法,建立了多机系统小干扰稳定的鲁棒分析和控制模型,应用H∞理论分析多机系统小干扰稳定问题,提出用系统的H∞范数作为系统小干扰稳定裕度的指标,并提出了多机系统全状态H∞控制器的设计方法。对一个4机2区域测试系统进行了仿真,设计了该系统的全状态H∞控制器,并从系统的特征值和振荡模式的阻尼比、系统广义阻尼和系统H∞范数等方面评估和比较手动励磁控制、线性最优控制和H∞控制的综合性能。结果表明,系统H∞范数能够准确衡量系统小干扰稳定裕度,而全状态H∞控制器比现有的控制技术能够为系统提供更强的阻尼,提高系统的小干扰稳定性。
This work presents an effective analysis and control method for small-signal stability of power systems. An H∞ analysis and control model is given for small-signal stability of multi-machine systems. The H∞ norm of the system is proposed as an index of the small-signal system stability. A design procedure is given for a full-information state feedback H∞ controller. Numerical experiments in the time domain on a 4-machine 2-area system compare the full-information state feedback H∞ controller with manual excitation control and a full-information state feedback linear-quadratic optimal controller. The eigenvalues, damping ratio, general damping, and H∞ norm of the systems with these three controllers are given with the system responses after a disturbance. The results show that the H∞ norm of the system clearly indicates the small-signal stability of the system and that the H∞ control method achieves better performance than the linear optimal control method for small-signal stability problems.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第7期929-933,共5页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(50595411)
关键词
小干扰稳定
低频振荡
H∞范数
H∞控制
small-signal stability
low frequency oscillation
H∞ norm
H∞ control
