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 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 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 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 58 3759］
[11]	］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese) ［王兴元、武相军 2006 55 5083］
[12]	］Wang X Y, Meng J 2007 Acta Phys. Sin.56 6280 (in Chinese) ［王兴元、孟娟 2007 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 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 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 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 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 58 3759］
[11]	］Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese) ［王兴元、武相军 2006 55 5083］
[12]	］Wang X Y, Meng J 2007 Acta Phys. Sin.56 6280 (in Chinese) ［王兴元、孟娟 2007 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 55 3956］

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