A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory

Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue; Haruhito Taniguchi

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A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory

机译：基于Hopf分岔理论的电力系统非线性振荡的稳定性判据。

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摘要

A stability criterion for nonlinear oscillations in power systems is proposed. It consists of calculation of a limit cycle by application of Hopf bifurcation theory and nonlinear transformation of the coordinates using invariant manifolds. The proposed method is verified in a single-machine infinite bus system.

机译：提出了电力系统非线性振荡的稳定性判据。它由应用Hopf分叉理论计算极限环和使用不变流形对坐标进行非线性转换组成。该方法在单机无限总线系统中得到了验证。

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来源
《Electrical engineering in Japan》 |2002年第4期|共8页
作者
Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue; Haruhito Taniguchi;
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正文语种 eng
中图分类电机;
关键词
Hopf bifurcation theory; Divergence of oscillation; Continuous oscillation; Subcritical; Supercritical; Limit cycle; Central manifold; Nonlinear coordinate transformation; Single-machine infinite bus system;

机译：Hopf分岔理论;振荡发散;连续振荡;亚临界;超临界;极限周期;中心流形;非线性坐标变换;单机无限母线系统;

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专利

1. A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory [J] . Hiroyuki Amano, Teruhisa Kumano, Toshio Inoue, Electrical engineering in Japan . 2002,第4期

机译：基于Hopf分岔理论的电力系统非线性振荡的稳定性判据。
2. A consideration between conditions for oscillation in linear systems and Hopf bifurcation sets in nonlinear systems [J] . Tetsushi UETA, Hiroshi KAWAKAMI 電子情報通信学会技術研究報告. 非線形問題. Nonlinear Problems . 2003,第375期

机译：非线性系统线性系统和Hopf分岔装置振荡条件的考虑
3. 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory [J] . Feddaoui Amina, Llibre Jaume, Makhlouf Amar International journal of dynamical systems and differential equations . 2020,第4期

机译：通过平均理论实现具有立方均匀非线性的多项式差分系统的4维零跳分岔
4. Hopf Bifurcation Control of Power System Nonlinear Dynamics via a Dynamic State Feedback Controller–Part I: Theory and Modeling [C] . Pouya Mahdavipour Vahdati, Ahad Kazemi, M. Hadi Amini, IEEE Power and Energy Society General Meeting . 2018

机译：动态状态反馈控制器对电力系统非线性动力学的霍普夫分叉控制–第一部分：理论与模型
5. Hopf bifurcation related oscillations in electric power systems with a clustered texture. [D] . Genc, Veysel Murat Istemihan. 2001

机译：具有聚类纹理的电力系统中与Hopf分叉有关的振荡。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. A Stability Criterion for Nonlinear Oscillations in Power Systems by Hopf Bifurcation Theory [O] . Hiroyuki Amano, Teruhisa Kumano, Toshio Inoue, 2001

机译：Hopf分岔理论电力系统非线性振荡的稳定性标准
8. Study of Nonlinear Oscillations Due to Exciter Control Using Hopf Bifurcation [R] . Abed, E., Tsolas, N., Varaiya, P. 1983

机译：用Hopf分岔研究激励器控制的非线性振动

A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory

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