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By simplifying a substation, a third-order non-autonomous ferromagnetic circuit with single-phase potential transformer has been obtained. Since the voltage is a sine function, by adding a time dimension to the circuit, it becomes a fourth-order autonomous circuit, and some simulation analysis is carried out on it. Studies show the existence of chaotic dynamical behavior in the circuit system, so that we can draw the conclusion that the excitation characteristic of the core has an important influence on the chaotic dynamical behavior of the circuit.
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Keywords:
- ferromagnetic chaos /
- excitation characteristic /
- nonlinear
[1] Feng Y L, Shen K 2008 Chin. Phys. B 17 0111
[2] Liu C X, Jin L, Shao H W 2003 Journal of Circuits and Systems 8 100 (in Chinese) [刘崇新, 金黎, 邵红卫 2003 电路与系统学报 8 100]
[3] 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]
[4] Wang F Q, Liu C X 2006 Acta Phys. Sin. 55 5061 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 5061]
[5] Hui M, Zhang Y B, Liu C H 2008 Chin. Phys. B 17 3258
[6] Liu C X, Zhai D Q, Dong Z H, Liu Y 2010 Acta Phys. Sin 59 3733 (in Chinese) [刘崇新, 翟笃庆, 董子晗, 刘尧 2010 物理学报 59 3733]
[7] Liu F, Sun C X, Si-ma W X, Dai Y, Yang Q 2006 Transactions of China Electrotechnical Society 21 103 (in Chinese) [刘凡, 孙才新, 司马文霞, 代姚, 杨庆 2006 电工技术学报 21 103]
[8] Hui M, Liu C X 2010 Chin. Phys. B 19 120509
[9] Gholizadeh H, Hassannia A, Azarfar A 2013 Chin. Phys. B 22 010503
[10] Marti J R, Soudack A C 1991 IEE Proc-C 138 321
[11] Zahawi B A T Al, Emin Z, Tong Y K 1998 IEE Proc-Sci. Meas Techol 145 39
[12] Kieny C 1991 IEEE Trans. Power Delivery 6 866
[13] Liu F, Sun C X, Si-Ma W X 2006 Phys. Lett. A 357 218
[14] Xie W S, Lu T C, Sun J Z 2002 Guangxi Electric Power 25 24 (in Chinese) [谢伟山, 鲁铁成, 孙结中 2002 广西电力 25 24]
[15] Cui X 2001 Shandong Electric Power 21 52 (in Chinese) [崔潇 2001 山东电力技术 21 52]
[16] Wang Y F, Kong D J, Wang Z B 2005 Qinghai Electric Power 24 39 (in Chinese) [王艳芬, 孔德杰, 王占彬 2005 青海电力 24 39]
[17] Emin Z, Zahawi B A T Al, Tong Y K, Ugur M 2001 IEEE Trans. Circuits and Systems 48 757
[18] Aroujo A E A, Soudack A C, Marti J R 1993 IEE Proc-C 140 237
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[1] Feng Y L, Shen K 2008 Chin. Phys. B 17 0111
[2] Liu C X, Jin L, Shao H W 2003 Journal of Circuits and Systems 8 100 (in Chinese) [刘崇新, 金黎, 邵红卫 2003 电路与系统学报 8 100]
[3] 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]
[4] Wang F Q, Liu C X 2006 Acta Phys. Sin. 55 5061 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 5061]
[5] Hui M, Zhang Y B, Liu C H 2008 Chin. Phys. B 17 3258
[6] Liu C X, Zhai D Q, Dong Z H, Liu Y 2010 Acta Phys. Sin 59 3733 (in Chinese) [刘崇新, 翟笃庆, 董子晗, 刘尧 2010 物理学报 59 3733]
[7] Liu F, Sun C X, Si-ma W X, Dai Y, Yang Q 2006 Transactions of China Electrotechnical Society 21 103 (in Chinese) [刘凡, 孙才新, 司马文霞, 代姚, 杨庆 2006 电工技术学报 21 103]
[8] Hui M, Liu C X 2010 Chin. Phys. B 19 120509
[9] Gholizadeh H, Hassannia A, Azarfar A 2013 Chin. Phys. B 22 010503
[10] Marti J R, Soudack A C 1991 IEE Proc-C 138 321
[11] Zahawi B A T Al, Emin Z, Tong Y K 1998 IEE Proc-Sci. Meas Techol 145 39
[12] Kieny C 1991 IEEE Trans. Power Delivery 6 866
[13] Liu F, Sun C X, Si-Ma W X 2006 Phys. Lett. A 357 218
[14] Xie W S, Lu T C, Sun J Z 2002 Guangxi Electric Power 25 24 (in Chinese) [谢伟山, 鲁铁成, 孙结中 2002 广西电力 25 24]
[15] Cui X 2001 Shandong Electric Power 21 52 (in Chinese) [崔潇 2001 山东电力技术 21 52]
[16] Wang Y F, Kong D J, Wang Z B 2005 Qinghai Electric Power 24 39 (in Chinese) [王艳芬, 孔德杰, 王占彬 2005 青海电力 24 39]
[17] Emin Z, Zahawi B A T Al, Tong Y K, Ugur M 2001 IEEE Trans. Circuits and Systems 48 757
[18] Aroujo A E A, Soudack A C, Marti J R 1993 IEE Proc-C 140 237
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