Bifurcation analysis of three-phase ferroresonant oscillations inungrounded power systems

Van Craenenbroeck T.; Michiels W.; Van Dommelen D.; Lust K.

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Bifurcation analysis of three-phase ferroresonant oscillations inungrounded power systems

机译：非接地电力系统三相铁磁谐振的分叉分析

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The study of power networks prone to ferroresonant oscillations bynmeans of simulation turns out to be a tedious task. Therefore, a directncalculation of the stability domains of the various oscillation modes isnpreferable. In this paper, the software package AUTO is used tondetermine the periodic solutions of the differential equationsndescribing a typical three-phase network in which ferroresonance hasnoccurred. A small modification of the system equations is introduced tonapproximate the quasi-periodic oscillations by periodic ones, withoutnmajor impact on the position of the stability domains. Finally, annexample of the automated dimensioning of a damping circuit using ancontinuation scheme is presented

机译：通过仿真的方法研究容易出现铁磁谐振的电力网络是一项繁琐的任务。因此，直接计算各种振荡模式的稳定性域是不优选的。在本文中，使用软件包AUTO来确定微分方程的周期解，该周期解描述了没有发生铁磁谐振的典型三相网络。引入了系统方程的一个小修改，以准周期振荡近似准周期振荡，而对稳定性域的位置没有重大影响。最后，给出了使用连续方案自动确定阻尼电路尺寸的一个例子

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《IEEE Transactions on Power Delivery》 |1999年第2期|p.531-536|共6页
作者
Van Craenenbroeck T.; Michiels W.; Van Dommelen D.; Lust K.;
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正文语种 eng
中图分类输配电技术;
关键词
bifurcation; damping; differential equations; ferroresonance; oscillations; power system analysis computing; power system stability; AUTO software package; automated dimensioning; bifurcation analysis; damping circuit; periodic oscillations; periodic solutions; power;

机译：分叉;阻尼;微分方程;铁磁谐振;振动;电力系统分析计算;电力系统稳定性;AUTO软件包;自动标注尺寸;分叉分析;阻尼电路;周期振荡;周期解;功率;

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1. Bifurcation analysis of three-phase ferroresonant oscillations in ungrounded power systems [J] . Van Craenenbroeck T., Michiels W. IEEE Transactions on Power Delivery . 1999,第2期

机译：不接地电力系统中三相铁磁谐振的分叉分析
2. Investigation of subharmonic ferroresonant oscillations in power systems [J] . K.S. Preetham, R. Saravanaselvan, R. Ramanujam Electric power systems research . 2006,第9a10期

机译：电力系统中次谐波铁磁谐振的研究
3. Parallel (quasi-periodic) ferroresonant oscillations in electricalpower systems [J] . Chakravarthy S.K., Nayar C.V. IEEE Transactions on Circuits and Systems. I, Regular Papers . 1995,第9期

机译：电力系统中的平行（准周期）铁磁谐振
4. Analysis and mitigation of ferroresonant oscillations in power system [C] . Kovac Matus, Eleschova Zaneta, Heretik Pavol, International Scientific Conference on Electric Power Engineering . 2014

机译：电力系统铁磁谐振的分析与缓解
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. Population dynamics of the modified theta model: macroscopic phase reduction and bifurcation analysis link microscopic neuronal interactions to macroscopic gamma oscillation [O] . Kiyoshi Kotani, Ikuhiro Yamaguchi, Lui Yoshida, 2014

机译：修正theta模型的种群动力学：宏观相减和分叉分析将微观神经元相互作用与宏观伽马振荡联系起来
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

Bifurcation analysis of three-phase ferroresonant oscillations inungrounded power systems

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