摘要
针对电力系统出现一对共轭虚根的静态稳定极限运行状态 ,在分歧理论的基础上 ,提出了稳定性分析的数值微分算法 ,解决了这类稳定性分析中必须涉及的相关高阶偏导数的计算问题 ,以及计算中如何选取增量的问题 ,成功地完成了这种极限运行状态的稳定性分析。实际电力系统算例表明 ,文中所给出的理论、方法是正确和有效的 ,特别适合于复杂的多机电力系统 ,为分析多机电力系统极限运行状态下的稳定性提供了一个有效的途径和工具。
In this paper, on the basis of bifurcation theory, an algorithm of numerical differentiation is presented for analyzing the system stability with a pair of conjugated imaginary radix in the system model which is in one of the steady stability limit states. The critical problems are to solve the relatively higher order partial differential equations and the selection of the increments in the algorithm. They are successfully solved by means of numerical differentiation theory. Calculation result for a real system shows that the theory and algorithm are correct and effective, especially suitable for complex multi-machine systems. Hence the algorithm is a powerful tool for analyzing the stability of multi-machine systems operating at limit states.
出处
《电力系统自动化》
EI
CSCD
北大核心
2002年第24期18-21,共4页
Automation of Electric Power Systems
关键词
电力系统
稳定性分析
静态稳定极限
高阶偏导数
数值微分
multi-machine power systems
steady state stability limit
higher order partial differentiation
numerical differentiation
bifurcation
