电力系统动态稳定性的零hopf分岔分析

S. Pérez-Londoño, G. Olivar, J. Mora-Flórez
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引用次数: 5

摘要

在参数变分下,动力系统(如电力系统)的相位曲线在分岔点处发生质变。若干全局共维二分岔点,如Zero-Hopf、generalized Hopf、Bogdanov-Takens等,可以使系统移动到其不稳定极限附近,从而导致混沌。由于这一事实,人们一直在努力理解这些不稳定现象,以便为电力系统设计控制和预防措施。本文分析了包含单机的直联系统——无限母线电力系统的动力学问题。为了研究系统在近二维分岔点附近的行为,强迫系统在若干条件下运行。本文着重分析了对系统动力学有重要影响的零hopf分岔和Bogdanov Takens分岔。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Zero-Hopf bifurcation analysis on power system dynamic stability
Under parametric variations, the phase portraits of a dynamical system such as a power system undergoes qualitative changes at bifurcation points. Several global codimension-two bifurcation points such as Zero-Hopf, generalized Hopf, Bogdanov-Takens, among others, can move the system much close to its instability limit, and lead to chaos. Due to this fact, there has been major effort in understanding these instability phenomena, in order to design control and preventive actions for power systems. In this paper, the dynamics of a straightforward system which includes a single machine-infinite bus power system (SMIB) is analyzed. The system is forced to operate under several conditions in order to study its behavior close to codimension-two bifurcation points. This paper is specifically oriented to analyze the Zero-Hopf and the Bogdanov Takens bifurcations, which contributes significantly to the system dynamics.
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