电磁式电压互感器励磁特性对铁磁混沌电路的影响分析
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摘要
电力系统中,含电磁式电压互感器(TV)的电路在某些情况下可能产生混沌振荡想象,其主要原因是TV铁芯的磁饱和效应导致铁芯电感非线性变化,在实际研究中常用励磁特性曲线描述TV铁芯电感的非线性变化。引用一个含TV的四阶自治铁磁电路模型,研究了TV励磁特性对铁磁电路的影响。理论分析与仿真结果表明:铁磁电路系统中存在混沌振荡现象,电磁式电压互感器非线性励磁特性是影响该电路混沌动力学行为的重要因素。
In power system, the ferromagnetic chaotic circuit of electromagnetic voltage transformer(TV) may generate chaotic oscillations in some cases. The main reason is the magnetic saturation effect of TV core that leads to the non-linear change of inductance of core. In actual research, the excitation characteristic curve is often used to describe the nonlinear change of the TV core inductance. A fourth-order autonomous ferromagnetic circuit model with TV is introduced, and the influence of excitation characteristics of TV on ferromagnetic circuit is studied. Theoretical analysis and MATLAB simulation shows that chaotic oscillation exists in the circuit, and the nonlinear excitation characteristics of TV are the important factors that affect the chaotic dynamic behavior of the circuit.
In power system, the ferromagnetic chaotic circuit of electromagnetic voltage transformer(TV) may generate chaotic oscillations in some cases. The main reason is the magnetic saturation effect of TV core that leads to the non-linear change of inductance of core. In actual research, the excitation characteristic curve is often used to describe the nonlinear change of the TV core inductance. A fourth-order autonomous ferromagnetic circuit model with TV is introduced, and the influence of excitation characteristics of TV on ferromagnetic circuit is studied. Theoretical analysis and MATLAB simulation shows that chaotic oscillation exists in the circuit, and the nonlinear excitation characteristics of TV are the important factors that affect the chaotic dynamic behavior of the circuit.
引文
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[9]刘崇新,翟笃庆,董子晗,等.含有单相铁芯变压器的铁磁混沌电路的分析及控制[J].物理学报,2010, 59(6):3733-3739.LIU Chongxin, ZHAI Duqing, DONG Zihan, et al. Control and analysis of a third-order nonautonomoous ferroresonance chaotic circuit with a transformer[J]. Acta Physica Sinica, 2010, 59(6):3733-3739.
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[13] MOZAFFARI S, HENSCHEL S,SOUDACK A C. Chaotic ferroresonance in power transformers[J]. IET ProceedingsGeneration Transmission and Distribution, 1995, 142(3):247-250.
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[15]庞霞,刘崇新.含电磁式电压互感器的铁磁混沌电路的分析研究[J].物理学报,2013,62(15):150504.PANG Xia, LIU Chongxin. Analysis of ferromagnetic chaotic circuit with nonlinear potential transformer[J]. Acta Physica Sinica, 2013,62(15):150504.
[16] Hui Meng, Liu Chong Xin. Effect of power frequency excitation character on ferroresonance in neutral-grounded system[J]. Chinese Physics B, 2010, 19(12):120509.
[17] AL ZAHAWI B A T, EMIN Z, TONG Y K. Chaos in ferroresonant wound voltage transformers:effect of core losses and universal circuit behaviour[J]. IEE Proceedings-Science,Measurement and Technology, 1998, 145(1):39-43.
[18] MARTI J R, SOUDACK A C. Ferroresonance in power systems:fundamental solutions[J]. IEE Proceedings IEE Proceedings CGeneration, Transmission and Distribution, 1991, 138(4):321-329.
[19] PRUSTY S, RAO M V S. New method for predetermination of true saturation characteristics of transformers and nonlinear reactors[J].IEE Proceedings. Part C:Generation, Transmission and Distribution,1980, 127(2):106-110.
[20] EMIN Z, AL ZAHAWI B A T, TONG Y K, et al. Quantification of the chaotic behavior of ferroresonant voltage transformer circuits[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2001,48(6):757-760.
[21] FAN L,SUN C X, SIMA W X, et al. Chaos control of ferroresonance system based on RBF-maximum entropy clustering algorithm[J].Physics Letters A, 2006, 357(3):218-223.
[22] MOZAFFARI S,SAMETI M,SOUDACK A C. Effect of initial conditions on chaotic ferroresonance in power transformers[J]. IEE Proceedings-Generation,Transmission and Distribution, 2002, 144(5):456-460.
[2]武文杰,王忠为.厂用6 kV系统铁磁谐振分析及措施研究[J].自动化与仪器仪表,2011(3):13-14.WU Wenjie, WANG Zhongwei. Study on ferromagnetic resonance analysis and measures for 6 kV system used in factory[J].Automation&Instrumentation, 2011(3):13-14.
[3]王胜,赵意合,蔡建辉,等.电压互感器铁磁谐振防范措施[J].农村电气化,2014(1):61-61.WANG Sheng, ZHAO Yihe, CAI Jianhui. Prevention measures of ferromagnetic resonance in voltage transformer[J]. Rural Electrification,2014(1):61-61.
[4]庞霞,刘凌,刘崇新,等.利用异结构同步对铁磁混沌电路的非线性反馈控制[J].西安交通大学学报,2015, 49(4):18-23.PANG Xia, LIU Ling, LIU Chongxin, et al. Nonlinear feedback control in ferromagnetic chaotic circuit with different structure synchronization[J]. Journal of Xi'an Jiaotong University, 2015, 49(4):18-23.
[5]惠萌,刘盼芝,白璘,等.非自治铁磁谐振电路过电压脉冲时滞同步抑制方法研究[J].西安交通大学学报,2014, 48(6):55-59.HUI Meng, LIU Panzhi, BAI Lin, et al. Overvoltage suppression by impulsive time-lagging synchronization of non-autonomous ferroresonance chaotic circuit[J]. Journal of Xi'an Jiaotong University, 2014, 48(6):55-59.
[6]司马文霞,刘凡,孙才新,等.基于改进的径向基函数神经网络的铁磁谐振系统混沌控制[J].物理学报,2006, 55(11):5714-5720.SIMA Wenxia, LIU Fan, SUN Caixin, et al. Chaos control offerroresonance system based on the improvement of the RBF neural network[J]. Acta Physica Sinica, 2006, 55(11):5714-5720.
[7]刘崇新,金黎,邵红卫.三阶非自治铁磁混沌电路的分析及控制[J].电路与系统学报,2003, 8(2):100-103.LIU Chongxin, JIN Li, SHAO Hongwei. Control and analysis of three-order non autonomous ferroresonance chaotic circuit[J]. Journal of Circuits and Systems,2003, 8(2):100-103.
[8]刘凡,孙才新,司马文霞,等.铁磁谐振过电压混沌振荡的理论研究[J].电工技术学报,2006, 21(2):103-107.LIU Fan, SUN Caixin, SIMA Wenxia, et al. Theoretical analysis of chaotic oscillation of ferroresonance overvoltage in power systems[J]. Transactions of China Electrotechnical Society, 2006,21(2):103-107.
[9]刘崇新,翟笃庆,董子晗,等.含有单相铁芯变压器的铁磁混沌电路的分析及控制[J].物理学报,2010, 59(6):3733-3739.LIU Chongxin, ZHAI Duqing, DONG Zihan, et al. Control and analysis of a third-order nonautonomoous ferroresonance chaotic circuit with a transformer[J]. Acta Physica Sinica, 2010, 59(6):3733-3739.
[10]史丽萍,董海波.应用综合法计算非线性励磁特性曲线[J].华北电力大学学报,2001, 28(1):15-19.SHI Liping, DONG Haibo. Calculation of nonlinear excitation characteristic curve by application synthesis method[J]. Journal of North China Electric Power University, 2001, 28(1):15-19.
[11]兰华,王彬,杨亮,等.PT励磁特性对铁磁谐振的影响及检测研究[J].电测与仪表,2010,47(10):10-14.LAN Hua, WANG Bin, YANG Liang, et al. Influence of excitation characteristics of PT on ferroresonace and detection research[J].Electrical Measurement&Instrumentation, 2010, 47(10):10-14.
[12]张博,鲁铁成,杜晓磊.中性点接地系统基频谐振及其实验分析[J].高压电器,2006, 42(1):47-50.ZHANG Bo, LU Tiecheng, DU Xiaolei. Analysis of the fundamental ferroresonance of neutral grounded power system and the experimental validation[J]. High Voltage Apparatus, 2006, 42(1):47-50.
[13] MOZAFFARI S, HENSCHEL S,SOUDACK A C. Chaotic ferroresonance in power transformers[J]. IET ProceedingsGeneration Transmission and Distribution, 1995, 142(3):247-250.
[14] HUI Meng, ZHANG Yanbin, LIU Chongxin. Chaotic ferroresonance in a non-autonomous circuit[J]. Chinese Physics B, 2008, 17(9):3258-3263.
[15]庞霞,刘崇新.含电磁式电压互感器的铁磁混沌电路的分析研究[J].物理学报,2013,62(15):150504.PANG Xia, LIU Chongxin. Analysis of ferromagnetic chaotic circuit with nonlinear potential transformer[J]. Acta Physica Sinica, 2013,62(15):150504.
[16] Hui Meng, Liu Chong Xin. Effect of power frequency excitation character on ferroresonance in neutral-grounded system[J]. Chinese Physics B, 2010, 19(12):120509.
[17] AL ZAHAWI B A T, EMIN Z, TONG Y K. Chaos in ferroresonant wound voltage transformers:effect of core losses and universal circuit behaviour[J]. IEE Proceedings-Science,Measurement and Technology, 1998, 145(1):39-43.
[18] MARTI J R, SOUDACK A C. Ferroresonance in power systems:fundamental solutions[J]. IEE Proceedings IEE Proceedings CGeneration, Transmission and Distribution, 1991, 138(4):321-329.
[19] PRUSTY S, RAO M V S. New method for predetermination of true saturation characteristics of transformers and nonlinear reactors[J].IEE Proceedings. Part C:Generation, Transmission and Distribution,1980, 127(2):106-110.
[20] EMIN Z, AL ZAHAWI B A T, TONG Y K, et al. Quantification of the chaotic behavior of ferroresonant voltage transformer circuits[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2001,48(6):757-760.
[21] FAN L,SUN C X, SIMA W X, et al. Chaos control of ferroresonance system based on RBF-maximum entropy clustering algorithm[J].Physics Letters A, 2006, 357(3):218-223.
[22] MOZAFFARI S,SAMETI M,SOUDACK A C. Effect of initial conditions on chaotic ferroresonance in power transformers[J]. IEE Proceedings-Generation,Transmission and Distribution, 2002, 144(5):456-460.
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