Control and analysis of a third-order nonautonomous ferroresonance chaotic circuit with a transformer

Liu Chong-Xin; Zhai Du-Qing; Dong Zi-Han; Liu Yao

doi:10.7498/aps.59.3733

Abstract

In this paper, the chaos dynamics behavior of a third-order nonautonomous ferroresonance chaotic circuit with single phase transformer has been analyzed and simulated. We drew the conclusion that there is only a nonlinear flux-controlled inductance in this circuit, which has been investigated and simulated by using a fourth-order autonomy improved system. We confirm that the chaotic behavior exists in this circuit by computer simulation and circuit experiment. A simple method of controlling chaos is proposed by varying the linear capacitance parameters.

Keywords:

Authors and contacts

1.
西安交通大学电气工程学院,电力设备电气绝缘国家重点实验室，西安 710049

References

[1]	［1］Chua L O, Hasler M, Neirynck J, Verburgh P 1982 IEEE Trans. Circuits Syst. 29 535
[2]	［2］Bryant P, Jeffries C 1984 Phys. Rev. Lett. 53 250
[3]	［3］Wang J Z, Chen Z Q, Yuan Z Z 2006 Chin. Phys. 15 1216
[4]	［4］Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese)［刘崇新 2002 物理学报 51 1198］
[5]	［5］Kong L J, Luo X S, Qu W L 1998 Acta Phys. Sin. 47 1078 (in Chinese) ［孔令江、罗晓曙、屈万里 1998 物理学报 47 1078］
[6]	［6］Yu S M, Lin Q H, Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)［禹思敏、林清华、丘水生 2004 物理学报 53 2084］
[7]	［7］Hui M， Zhang Y B, Liu C X 2008 Chin.Phys. B 17 3258
[8]	［8］Wang X Y, Wang M J 2007 Chaos　 17 033106
[9]	［9］Liu C X, Liu T, Liu L, Liu K 2004 Chaos Solitons Fract. 22 1031
[10]	］Li C L, Luo X S 2008 Acta Phys. Sin. 58 3759 (in Chinese) ［李春来、罗晓曙 2008 物理学报 58 3759］
[11]	］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese) ［王兴元、武相军 2006 物理学报 55 5083］
[12]	］Wang X Y, Meng J 2007 Acta Phys. Sin.56 6280 (in Chinese) ［王兴元、孟娟 2007 物理学报 56 6280］
[13]	］Wang J Z, Cheng Z Q， Yuan Z Z 2006 Acta Phys. Sin.55 3956 (in Chinese)［王杰智、陈增强、袁著祉 2006 物理学报 55 3956］

Cited By

[1]	［1］Chua L O, Hasler M, Neirynck J, Verburgh P 1982 IEEE Trans. Circuits Syst. 29 535
[2]	［2］Bryant P, Jeffries C 1984 Phys. Rev. Lett. 53 250
[3]	［3］Wang J Z, Chen Z Q, Yuan Z Z 2006 Chin. Phys. 15 1216
[4]	［4］Liu C X 2002 Acta Phys. Sin. 51 1198 (in Chinese)［刘崇新 2002 物理学报 51 1198］
[5]	［5］Kong L J, Luo X S, Qu W L 1998 Acta Phys. Sin. 47 1078 (in Chinese) ［孔令江、罗晓曙、屈万里 1998 物理学报 47 1078］
[6]	［6］Yu S M, Lin Q H, Qiu S S 2004 Acta Phys. Sin. 53 2084 (in Chinese)［禹思敏、林清华、丘水生 2004 物理学报 53 2084］
[7]	［7］Hui M， Zhang Y B, Liu C X 2008 Chin.Phys. B 17 3258
[8]	［8］Wang X Y, Wang M J 2007 Chaos　 17 033106
[9]	［9］Liu C X, Liu T, Liu L, Liu K 2004 Chaos Solitons Fract. 22 1031
[10]	］Li C L, Luo X S 2008 Acta Phys. Sin. 58 3759 (in Chinese) ［李春来、罗晓曙 2008 物理学报 58 3759］
[11]	］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese) ［王兴元、武相军 2006 物理学报 55 5083］
[12]	］Wang X Y, Meng J 2007 Acta Phys. Sin.56 6280 (in Chinese) ［王兴元、孟娟 2007 物理学报 56 6280］
[13]	］Wang J Z, Cheng Z Q， Yuan Z Z 2006 Acta Phys. Sin.55 3956 (in Chinese)［王杰智、陈增强、袁著祉 2006 物理学报 55 3956］

[1]	Wang Yue-Gang, Wen Chao-Bin, Yang Jia-Sheng, Zuo Zhao-Yang, Cui Xiang-Xiang. Adaptive control of chaotic systems based on model free method. Acta Physica Sinica, 2013, 62(10): 100504. doi: 10.7498/aps.62.100504
[2]	Yang Jun, Sun Qiu-Ye, Yang Dong-Sheng. Sum-of-square-based impulsive control for chaotic system based on polynomial model. Acta Physica Sinica, 2012, 61(20): 200511. doi: 10.7498/aps.61.200511
[3]	Ren Li-Na, Liu Fu-Cai, Jiao Xiao-Hong, Li Jun-Yi. Hamiltonian model-based H control of chaos in permanent magnet synchronous generators for wind power systems. Acta Physica Sinica, 2012, 61(6): 060506. doi: 10.7498/aps.61.060506
[4]	Miao Zhi-Qiang, Wang Yao-Nan. Robust adaptive radial wavelet neural network control for chaotic systems using backstepping design. Acta Physica Sinica, 2012, 61(3): 030503. doi: 10.7498/aps.61.030503
[5]	Yan Xiao-Mei, Liu Ding. Control of fractional order chaotic system based on least square support vector machines. Acta Physica Sinica, 2010, 59(5): 3043-3048. doi: 10.7498/aps.59.3043
[6]	Zhu Shao-Ping, Qian Fu-Cai, Liu Ding. Optimal control for uncertainty dynamic chaotic systems. Acta Physica Sinica, 2010, 59(4): 2250-2255. doi: 10.7498/aps.59.2250
[7]	Yang Tan, Jin Yue-Hui, Cheng Shi-Duan. Border collision bifurcation and chaotic control of discrete feedback transmission control protocol-random early detection system. Acta Physica Sinica, 2009, 58(8): 5224-5237. doi: 10.7498/aps.58.5224
[8]	Wang Xiao-Feng, Xue Hong-Jun, Si Shou-Kui, Yao Yue-Ting. Mixture control of chaotic system using particle swarm optimization algorithms and OGY method. Acta Physica Sinica, 2009, 58(6): 3729-3733. doi: 10.7498/aps.58.3729
[9]	Lei You-Ming, Xu Wei. Chaos control in the Josephson junction with a resonant harmonic excitation. Acta Physica Sinica, 2008, 57(6): 3342-3352. doi: 10.7498/aps.57.3342
[10]	Chen Long, Wang De-Shi. Nonfeedback control of Chen’s chaotic system. Acta Physica Sinica, 2007, 56(1): 91-94. doi: 10.7498/aps.56.91
[11]	Cai Guo-Liang, Tan Zhen-Mei, Zhou Wei-Huai, Tu Wen-Tao. Dynamical analysis of a new chaotic system and its chaotic control. Acta Physica Sinica, 2007, 56(11): 6230-6237. doi: 10.7498/aps.56.6230
[12]	Zhang Ying, Xu Wei, Sun Xiao-Juan, Fang Tong. Stochastic chaos and its control in the stochastic Bonhoeffer-Van der Pol system. Acta Physica Sinica, 2007, 56(10): 5665-5673. doi: 10.7498/aps.56.5665
[13]	Gao Xin, Liu Xing-Wen. Delayed fuzzy control of a unified chaotic system. Acta Physica Sinica, 2007, 56(1): 84-90. doi: 10.7498/aps.56.84
[14]	Wang Xing-Yuan, Wu Xiang-Jun. Chaos control of a modified coupled dynamos system. Acta Physica Sinica, 2006, 55(10): 5083-5093. doi: 10.7498/aps.55.5083
[15]	Li Shuang, Xu Wei, Li Rui-Hong. Chaos control of Duffing systems by random phase. Acta Physica Sinica, 2006, 55(3): 1049-1054. doi: 10.7498/aps.55.1049
[16]	Sima Wen-Xia, Liu Fan, Sun Cai-Xin, Liao Rui-Jin, Yang Qing. Chaos control of ferroresonance system based on improved RBF neural network. Acta Physica Sinica, 2006, 55(11): 5714-5720. doi: 10.7498/aps.55.5714
[17]	Dong En-Zeng, Chen Zeng-Qiang, Yuan Zhu-Zhi. Adaptive multi-variable generalized predictive control and synchronization of chaotic systems. Acta Physica Sinica, 2005, 54(10): 4578-4583. doi: 10.7498/aps.54.4578
[18]	Liu Jie, Chen Shi-Hua, Lu Jun-An. Projective synchronization in a unified chaotic system and its control. Acta Physica Sinica, 2003, 52(7): 1595-1599. doi: 10.7498/aps.52.1595
[19]	Tan Wen, Wang Yao-Nan, Liu Zhu-Run, Zhou Shao-Wu. . Acta Physica Sinica, 2002, 51(11): 2463-2466. doi: 10.7498/aps.51.2463
[20]	LI WEI, CHEN SHI-GANG. CONTROLLING CHAOTIC OF THE NONLINEAR SYSTEM VIA PERIODS PULSES. Acta Physica Sinica, 2001, 50(10): 1862-1870. doi: 10.7498/aps.50.1862

Catalog

Vol. 59, Issue 6 - 2010-03-20

Metrics

Abstract views: 9160
PDF Downloads: 938
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板