摘要
电力系统是典型的非线性动力系统,存在着多种非线性动力学行为,其中分岔是常见现象之一.文章研究周期性负荷扰动的单机无穷大电力系统的主共振分岔和倍周期分岔,由于采用二阶平均法,使得对原系统周期轨道分岔的研究变成对平均系统平衡点分岔的研究.根据平均系统与原系统的对应关系,得到原系统产生主共振分岔和倍周期分岔的条件及其稳定性.研究结果表明,系统周期轨道的个数、类型及其稳定性随着扰动负荷的变化而变化,它们将影响电力系统安全稳定运行.所提出的方法不仅可以分析上述两种分岔,还可分析其它种类的次谐、超谐和超次谐共振分岔.
Power system is a typical nonlinear dynamical system with various nonlinear dynamic characteristics, of which bifurcation is a common one. By using second-order averaging method, this paper analyzes the primary resonance bifurcation and period-doubling bifurcation in a single-machine infinite-bus power system disturbed by a periodic load, which changes the problems of periodic orbit bifurcations into those of equilibrium bifurcations. The conditions and the stability of the two types of bifurcations are obtained according to the relationships between the original system and the averaging one. The results indicate that the number, types and stability of the periodic orbits vary with the disturbed load, which affect the security and stability of power system＇ s operation. The presented method can be applied not only to the two types of bifurcations, but also to those of subharmonic, superharmonic and ultra-subharmonic bifurcations.
出处
《南京工程学院学报（自然科学版）》
2007年第2期20-26,共7页
Journal of Nanjing Institute of Technology(Natural Science Edition)
基金
江苏省高校自然科学研究计划项目"电力系统非线性自适应鲁棒控制的研究"(04KJD470085)
南京工程学院科研基金项目"基于高阶平均理论的电力系统分岔研究"(KXJ06025)
关键词
电力系统振荡
主共振分岔
倍周期分岔
稳定性
二阶平均法
power system oscillation
primary resonance bifurcation
period-doubling bifurcation
stability
second-order averaging method
