摘要
考虑系统参数与随机扰动强度以及两者之间的约束关系,分析了随机扰动下单机无穷大电力系统的稳定性.根据系统系数矩阵特征值的3种不同情况,讨论了随机系统均值稳定和均方稳定性,证明了如果无随机扰动电力系统渐近稳定,则在随机小扰动下系统均值稳定和均方稳定,并给出了系统均值均方差的界与随机扰动强度及系统参数之间的关系式.最后,对随机扰动作用下的单机无穷大电力系统进行仿真分析,验证了结论的正确性.
The stochastic small signal stability of single machine infinite bus power systems was investigated with consideration of the relationship between the system parameters and the stochastic disturbance in this paper. Firstly,according to the three different characteristics of the eigenvalues of the system coefficient matrix,the mean stability and mean square stability were discussed. It was shown that if the power system was asymptotically stable under no stochastic disturbance,Its mean stable and mean were square stable under small stochastic disturbance. The function of the bound of mean and mean square value with respect to the variance and random perturbation relation between stochastic intensity and system parameters was given. Finally,the power system was simulated under different stochastic intensity and the correctness of the proposed results was verified.
作者
张振
刘艳红
ZHANG Zhen, LIU Yanhong(School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, Chin)
出处
《郑州大学学报（工学版）》
CAS
北大核心
2018年第4期58-63,共6页
Journal of Zhengzhou University（Engineering Science）
基金
国家自然科学基金资助项目(61473265
61603345)
河南省自然科学基金资助项目(162300410260)
河南省高校科技创新团队支持计划资助项目(17IRTSTHN013)
关键词
随机扰动
单机无穷大电力系统
矩阵特征值
均值稳定
均方稳定
stochastic disturbance
single machine infinite bus power system
eigenvalues
mean stability
mean square stability
