Random-phase-induced chaos in power systems

doi:10.1088/1674-1056/19/5/050511

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50511-050511.doi: 10.1088/1674-1056/19/5/050511

Random-phase-induced chaos in power systems

覃英华, 罗晓曙, 韦笃取

College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China

收稿日期:2009-10-05 修回日期:2009-10-19 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10862001, 10947011 and 70571017).

Random-phase-induced chaos in power systems

Qin Ying-Hua(覃英华), Luo Xiao-Shu(罗晓曙)^†, and Wei Du-Qu(韦笃取)

College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China

Received:2009-10-05 Revised:2009-10-19 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10862001, 10947011 and 70571017).

摘要/Abstract

摘要： This paper studies how random phase (namely, noise-perturbed phase) effects the dynamical behaviours of a simple model of power system which operates in a stable regime far away from chaotic behaviour in the absence of noise. It finds that when the phase perturbation is weak, chaos is absent in power systems. With the increase of disturbed intensity $\sigma$, power systems become unstable and fall into chaos as $\sigma$ further increases. These phenomena imply that random phase can induce and enhance chaos in power systems. Furthermore, the possible mechanism behind the action of random phase is addressed.

Abstract: This paper studies how random phase (namely, noise-perturbed phase) effects the dynamical behaviours of a simple model of power system which operates in a stable regime far away from chaotic behaviour in the absence of noise. It finds that when the phase perturbation is weak, chaos is absent in power systems. With the increase of disturbed intensity $\sigma$, power systems become unstable and fall into chaos as $\sigma$ further increases. These phenomena imply that random phase can induce and enhance chaos in power systems. Furthermore, the possible mechanism behind the action of random phase is addressed.

Key words: random chaos, random phase, stochastic processes, SMIB power systems

中图分类号: (High-current and high-voltage technology: power systems; power transmission lines and cables)

84.70.+p

05.45.Gg (Control of chaos, applications of chaos)

覃英华, 罗晓曙, 韦笃取. Random-phase-induced chaos in power systems[J]. 中国物理B, 2010, 19(5): 50511-050511.

Qin Ying-Hua(覃英华), Luo Xiao-Shu(罗晓曙), and Wei Du-Qu(韦笃取). Random-phase-induced chaos in power systems[J]. Chin. Phys. B, 2010, 19(5): 50511-050511.

参考文献 19

[1]	Meucci R, Gadomski W, Ciofini M and Arecchi F T 1994 Phys. Rev. E 49 R2528
[2]	Qu Z, Hu G, Yang G and Qin G 1995 Phys. Rev. Lett. 74 1736
[3]	Kandangath A, Krishnamoorthy S, Lai Y C and Gaudet J A 2007 IEEE Trans. Circ. Sys. -I 54 1109
[4]	Zambrano S, Seoane J M, Marino I P, Sanjuan M A F, Euzzor S, Meucci R and Arecchi F T 2008 New J. Phys. 10 073030
[5]	Lei Y, Xu W, Xu Y and Fang T 2004 Chaos, Solitons and Fractals 21 1175
[6]	Yan S L 2006 Acta Phys. Sin. 55 5109 (in Chinese)
[7]	Li S, Xu W and Li R H 2006 Acta Phys. Sin. 55 1049 (in Chinese)
[8]	Yu Y N 1983 Electric Power System Dynamics (New York: Academic Press)
[9]	Carreras B A, Lynch V E and Dobson I 2002 Chaos 12 985
[10]	Chiang H D, Dobson I, Thomas R J, Thorp J S and Fekih-Ahmed L 1990 IEEE Trans. on Power Systems 5 601
[11]	Yu Y, Jia H, Li P and Su J 2003 Electric Power Systems Research 65 187
[12]	Ohta H and Ueda Y 2002 Chaos, Solitons and Fractals 14 1227
[13]	Ji W and Venkatasubramanian V 1999 IEEE Trans. Circ. Sys. -I 46 405
[14]	Yamayee Z A and Bala J L 1990 Electromechanical Energy Devices Power Systems (New York: John Wiley and Sons)
[15]	Gan C 2006 Nonlinear Dynamics 45 305
[16]	Wolf A, Swift J R, Swinney H L and Vastano J A 1985 Physica D 16 285
[17]	Zaslavsky G M 1998 Physics of Chaos in Hamiltonian Systems (Oxford: Academic Press)
[18]	Makarov D V and Uleysky M Y 2008 Communications in Nonlinear Science and Numerical Simulation 13 400
[19]	Chirikov B V 1979 Phys. Rep. 52 265

Random-phase-induced chaos in power systems

Random-phase-induced chaos in power systems

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 19

相关文章 14

Metrics

本文评价

推荐阅读 0

[1]	张珺, 郭宇锋, 徐跃, 林宏, 杨慧, 洪洋, 姚佳飞. One-dimensional breakdown voltage model of SOI RESURF lateral power device based on lateral linearly graded approximation[J]. 中国物理B, 2015, 24(2): 28502-028502.
[2]	伍伟, 张波, 罗小蓉, 方健, 李肇基. Low on-resistance high-voltage lateral double-diffused metal oxide semiconductor with a buried improved super-junction layer[J]. 中国物理B, 2014, 23(3): 38503-038503.
[3]	范杰, 张波, 罗小蓉, 李肇基. High-voltage SOI lateral MOSFET with a dual vertical field plate[J]. 中国物理B, 2013, 22(11): 118502-118502.
[4]	花婷婷, 郭宇锋, 于映, Gene Sheu, 蹇彤, 姚佳飞. Analytical models of lateral power devices with arbitrary vertical doping profiles in drift region[J]. 中国物理B, 2013, 22(5): 58501-058501.
[5]	范杰, 汪志刚, 张波, 罗小蓉. Dual-gate lateral double-diffused metal–oxide semiconductor with ultra-low specific on-resistance[J]. 中国物理B, 2013, 22(4): 48501-048501.
[6]	赵远远, 乔明, 王伟宾, 王猛, 张波. The breakdown mechanism of a high-side pLDMOS based on a thin-layer silicon-on-insulator structure[J]. 中国物理B, 2012, 21(1): 18501-018501.
[7]	惠萌, 刘崇新. Effect of power frequency excitation character on ferroresonance in neutral-grounded system[J]. 中国物理B, 2010, 19(12): 120509-120509.
[8]	宋庆文, 张玉明, 张义门, 张倩, 吕红亮. Study of a double epi-layers SiC junction barrier Schottky rectifiers embedded P layer in the drift region[J]. 中国物理B, 2010, 19(8): 87202-087202.
[9]	宋庆文, 张玉明, 张义门, 张倩, 郭辉, 李志云, 王中旭. Influence of geometrical parameters on the behaviour of SiC merged PiN Schottky rectifiers with junction termination extension[J]. 中国物理B, 2010, 19(4): 47201-047201.
[10]	惠萌, 张彦斌, 刘崇新. Analysis of ferroresonance in neutral grounding system with nonlinear core loss[J]. 中国物理B, 2009, 18(5): 1787-1791.
[11]	刘芳. Fast-scale border collision bifurcation in SEPIC power factor pre-regulators[J]. 中国物理B, 2008, 17(7): 2394-2404.
[12]	赵益波, 张道秧, 张持健. Study on bifurcation and stability of the closed-loop current-programmed boost converters[J]. 中国物理B, 2007, 16(4): 933-936.
[13]	杨显俊. Initial transient process in a simple helical flux compression generator[J]. 中国物理B, 2006, 15(7): 1539-1543.
[14]	任海鹏, 刘丁. Bifurcation behaviours of peak current controlled PFC boost converter[J]. 中国物理B, 2005, 14(7): 1352-1358.