| 引用本文: | 薛安成,付潇宇,王嘉伟,李业成,乔登科.双馈风机系统的切换型混沌振荡及其非光滑分岔特性[J].电力自动化设备,2020,40(9): |
| XUE Ancheng,FU Xiaoyu,WANG Jiawei,LI Yecheng,QIAO Dengke.Switched chaotic oscillation and non-smooth bifurcation characteristics of DFIG system[J].Electric Power Automation Equipment,2020,40(9): |
|
| 摘要: |
| 新能源电力系统含限幅或控制切换等非线性环节，本质上为非光滑系统，其稳定性和失稳形式复杂。对此，研究了大扰动下双馈风机并网系统中由限幅饱和导致的混沌振荡失稳机理，在数学上对应着非光滑系统轨迹发生从收敛至平衡点到混沌的非光滑分岔。首先，介绍了切换动力系统(非光滑系统)的非光滑分岔和切换型混沌；其次，分析了交流故障后双馈风机系统发生的复杂振荡现象，利用功率谱和Lyapunov指数确认其为混沌振荡，并分析了其拟周期的频率漂移特性；然后，分析了混沌振荡与限幅饱和间的关系，揭示了该混沌是由多个限幅饱和(非光滑系统切换)引起的，本质上为切换型混沌振荡；最后，从短路比、故障条件和风速等角度分析了大扰动后的切换型混沌振荡的非光滑分岔特性，结果表明在较低短路比、较大故障冲击下系统更易发生切换型混沌振荡。 |
| 关键词: 双馈风机 非光滑分岔 限幅 混沌振荡 交流故障 |
| DOI：10.16081/j.epae.202009005 |
| 分类号:TM614;TM712 |
| 基金项目:国家重点研究发展计划项目(2017YFB0902000,2017YFB0902004) |
|
| Switched chaotic oscillation and non-smooth bifurcation characteristics of DFIG system |
|
XUE Ancheng, FU Xiaoyu, WANG Jiawei, LI Yecheng, QIAO Dengke
|
|
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China
|
| Abstract: |
| The new energy power system contains nonlinearities such as limiting or control switching, which is essentially a non-smooth system, and its stability and instability forms are complicated. The instability mechanism of chaotic oscillation caused by limiting saturation in DFIG(Doubly-Fed Induction Generator) system under large disturbance is studied, and it mathematically corresponds to the non-smooth bifurcation of non-smooth system trajectory from convergence to stable equilibrium point to chaos. Firstly, the non-smooth bifurcation and switched chaos of switched dynamic system(non-smooth system) are introduced. Secondly, the non-regular oscillation phenomenon in DFIG system after AC fault is analyzed, and it is confirmed as a chaotic oscillation with the power spectra and Lyapunov exponent, furthermore, its pseudo-period frequency drift characteristics are analyzed. And then, the relationship between the chaotic oscillation and the limiting saturation is analyzed, revealing that the chaotic oscillation is induced by multiple limiting saturation(switching of non-smooth system),and it is essentially a switched chaotic oscillation. Finally, the non-smooth bifurcation characteristics of the switched chaotic oscillation under large disturbance are analyzed with the viewpoint of SCR(Short Circuit Ratio),fault condition and wind speed, indicating that the chaotic oscillation is more likely to occur under the condition of lower SCR and larger disturbance. |
| Key words: DFIG non-smooth bifurcation limiting chaotic oscillation AC fault |
