摘要
电力系统暂态变量通常是具有衰减幅值的正弦函数 的线性组合,Prony频谱是一种恰当的描述。进而,解微 分方程中的暂态变量即转化为用代数方程解Prony频谱中 的各个系数。MAPLE软件包是吴方法用于解非线性代数方 程的工具,用它可以解得电力系统突然短路电磁暂态过程 中各阶段的初值和衰减时间常数。通过上述途径,将吴方 法和Prony分析相结合应用于电力系统电磁暂态辨识,吴 方法就成为求解电力系统电磁暂态解析解的有效方法。
The paper introduces the application of Wu Method (combined with Prony analysis) in power system electric-magnetic transient identification. The transient variables of power system usually are a linear combination of magnitude-decaying sinusoidal functions and may be well described by Prony spectrum. Solving the transient variables in differential equations is transformed into solving the coefficients in Prony spectrum by algebraic equations. The MAPLE software package is efficient in analytically solving the non-linear algebraic equations, by using which the initiate value and decaying time constant during each phase of power system electric-magnetic transient process are solved. Thus, Prony analysis and Wu Method combined together becomes a novel analytical approach to solve the electric-magnetic transient problems which can only be solved by numerical simulation or approximate multi-phase solution before.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第11期16-19,共4页
Proceedings of the CSEE
基金
国家自然科学基金项目(69774003)。~
关键词
吴方法
电力系统
短路
电磁暂态过程
多项式方程组
nonlinear simultaneous equations: power system electric-magnetic transients: wu elimination method
