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含有单相铁芯变压器的铁磁混沌电路的分析及控制

刘崇新 翟笃庆 董子晗 刘尧

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含有单相铁芯变压器的铁磁混沌电路的分析及控制

刘崇新, 翟笃庆, 董子晗, 刘尧

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
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  • 对一个含有单相铁芯变压器的三阶非自治铁磁混沌电路进行了理论研究和计算机仿真分析.研究表明,仅含由磁通链控制的非线性电感器件的三阶非自治电路可以作为一个四阶自治改进系统来分析.数值仿真和电路实验证实了此系统确实存在混沌动力学行为.同时,还提出了一种通过改变线性电容参数控制混沌的方法.
    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.
    [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]

    [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]

计量
  • 文章访问数:  7947
  • PDF下载量:  931
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-06-23
  • 修回日期:  2009-10-21
  • 刊出日期:  2010-03-05

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