摘要
提出了一种并列运行同型多台发电机的等值方法,以简化多机电力系统低频振荡问题的分析.该方法对系统状态矩阵进行相似变换,得到分块上三角或下三角矩阵,使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得.基于此理论,同型多机系统可以等值为厂间模式子系统和厂内局部模式子系统.厂间模式子系统为一台等值发电机与电网连接,而厂内局部模式子系统仅和机组本身相关.这种等值简化方法可以有效降低系统矩阵的维数,并保留了原系统的全部特征值信息.算例结果证明了该方法的正确性.
An equivalent simplification method was proposed for analyzing low frequency oscillation in identical multi-machine power systems. By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal. Based on this method, the identical multi-machine system is equivalent to an inter-area mode subsystem and a local mode subsystem. The inter-area mode subsystem includes an equivalent machine connected to the power system, and the local subsystem is only related to the original machines. This equivalent method can reduce the dimension of multi-machine system efficiently, while all of the system＇s eigenvalues are preserved. The calculated results of the studied case show the validity of the equivalent simplification method.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2007年第3期483-487,共5页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金重大项目(50595410)
关键词
多机电力系统
低频振荡
等值简化
相似变换
multi-machine power system
low frequency oscillation（LFO）
equivalent simplification
similarity transformation
