超高频Z源DC/DC变换器的呼吸现象分析
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摘要
Z源变换器因在超高频条件下具有体积小、效率高等特点而备受关注,但该变换器在光伏并网等实际工作过程中更易产生一种规则的噪声,即耦合电路引起的传导和电磁辐射的干扰使得变换器产生呼吸现象,严重影响电网系统稳定。故建立了具有耦合干扰信号的超高频Z源变换器模型,通过电路仿真及实验观察到了间歇现象,从理论上将时间分岔映射为参数分岔,利用雅克比矩阵特征值运动变化判定系统的稳定性,从而验证了超高频Z源变换器呼吸现象的存在。最后根据对该变换器的分岔控制行为进行分析,确定该系统处于干扰信号下的电路参数稳定域。结论能够为超高频Z源变换器的稳定运行提供参考,对实际电路的设计提供理论依据。
Under the high frequency condition, owing to the characteristics of small volume, high efficiency, etc, Z source converter has been paid to much attention. However, in the practical operation processes, such as PV access to grid, it is more likely to generate some regular noise, i.e., the conduction and radiation interference caused by a coupling circuit make the converter show an intermittent phenomenon, which will seriously affect the stability of power system.Accordingly, a high-frequency Z source converter model with coupling interference signals is established in this paper.Through the circuit simulation and experiments, the intermittent phenomenon can be observed. Theoretically, the time bifurcation is mapped to the parameter bifurcation, and the system stability is determined by using the loci of eigenvalues of Jacobian matrix, thus verifying the existence of the intermittent phenomenon of the high-frequency Z source converter. Finally, the behavior of bifurcation control of this converter is analyzed, and the stable range of circuit parameters of the system with interference signals is determined. The conclusion of this paper can provide reference for the stable operation of the high-frequency Z source converter and a theoretical basis for the design of the actual circuit.
Under the high frequency condition, owing to the characteristics of small volume, high efficiency, etc, Z source converter has been paid to much attention. However, in the practical operation processes, such as PV access to grid, it is more likely to generate some regular noise, i.e., the conduction and radiation interference caused by a coupling circuit make the converter show an intermittent phenomenon, which will seriously affect the stability of power system.Accordingly, a high-frequency Z source converter model with coupling interference signals is established in this paper.Through the circuit simulation and experiments, the intermittent phenomenon can be observed. Theoretically, the time bifurcation is mapped to the parameter bifurcation, and the system stability is determined by using the loci of eigenvalues of Jacobian matrix, thus verifying the existence of the intermittent phenomenon of the high-frequency Z source converter. Finally, the behavior of bifurcation control of this converter is analyzed, and the stable range of circuit parameters of the system with interference signals is determined. The conclusion of this paper can provide reference for the stable operation of the high-frequency Z source converter and a theoretical basis for the design of the actual circuit.
引文
[1]张凤阁,朱仕禄,殷孝睢,等.交错反激式光伏并网微逆变器的控制器实现[J].电工技术学报, 2013, 28(5):142-153.Zhang Fengge, Zhu Shilu, Yin Xiaoju, et al. Controller design of grid-connected micro-inverter based on interleaved flyback structure[J]. Transactions of China Electrotechnical Society, 2013, 28(5):142-153(in Chinese).
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[10]刘伟增,张浩,马西奎.基于频闪映射的Boost PFC变换器中的间歇性分岔和混沌现象分析[J].中国电机工程学报, 2005, 25(1):43-48.Liu Weizeng, Zhang Hao, Ma Xikui. Analysis of intermittent bifurcations and chaos phenomena in Boost PFC converters by stroboscopic map[J]. Proceedings of the CSEE, 2005, 25(1):43-48(in Chinese).
[11] He Junpeng, Xu Jianping, Yan Tiesheng. Peak currentcontrolled CRM flyback PFC converter with square of line voltage-compensated primary current envelope[J]. Electronics Letters, 2015, 51(9):684-686.
[12] Shrivastava A, Roberts N E, Khan O U, et al. A 10 mVinput boost converter with inductor peak current control and zero detection for thermoelectric and solar energy harvesting with 220 mV cold-start and-14.5 dBm, 915MHz RF kick-start[J]. IEEE Journal of Solid-State Circuits,2015, 50(8):1820-1832.
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[15]刘啸天,周国华,李振华,等.基于双缘调制的数字电压型控制Buck变换器离散迭代映射建模与动力学分析[J].物理学报, 2015, 64(22):1-12.Liu Xiaotian, Zhou Guohua, Li Zhenhua, et al. Discrete iterative-map modeling and dynamical analysis of digital voltage-mode controlled buck converter with dual-edge modulation[J]. Acta Physica Sinica, 2015, 64(22):1-12(in Chinese).
[16]吕宁,李晶,孟祥雪,等.电磁轴承-转子系统的非线性动力学行为分析[J].重庆理工大学学报:自然科学版, 2012,26(12):99-102.Lyu Ning, Li Jing, Meng Xiangxue, et al. Research on the nonlinear dynamic behavior of electromagnetic bearing-rotor system[J]. Journal of Chongqing University of Technology:Natural Science, 2012, 26(12):99-102(in Chinese).
[17]张柏华,李虹,王博宇,等.混沌SPWM功率变换器IGBT的Icepak温升仿真与实验[J].电源学报, 2014, 12(3):42-46.Zhang Baihua, Li Hong, Wang Boyu, et al. Thermal simulation and experiments of IGBTs in chaotic SPWM converter based on icepak software[J]. Journal of Power Supply,2014, 12(3):42-46(in Chinese).
[18]赵治华,张向明,李建轩,等.互感耦合电磁干扰的对消方法[J].电工技术学报, 2010, 25(1):19-23.Zhao Zhihua, Zhang Xiangming, Li Jianxuan, et al. Cancellation method to control mutual-inductance coupling EMI[J]. Transactions of China Electrotechnical Society, 2010,25(1):19-23(in Chinese).
[19]童金禄,陈德怀,齐珍,等.强激光能源系统故障保护对策与电磁干扰抑制方法[J].中国电机工程学报, 2012, 32(28):97-104.Tong Jinlu, Chen Dehuai, Qi Zhen, et al. Fault protective measures and EMI depressing approach for power conditioning systems in high power lasers[J]. Proceedings of the CSEE, 2012, 32(28):97-104(in Chinese).
[20]李贵山,杨建平,黄晓峰.电磁干扰(EMI)和射频干扰(RFI)及其抑制措施研究[J].电力系统及其自动化学报,2002, 14(4):36-44.Li Guishan, Yang Jianping, Huang Xiaofeng. The study of EME/RFI and its rejection[J]. Proceedings of the CSU-EPSA, 2002, 14(4):36-44(in Chinese).
[2]王玉斌.单相并网逆变器前级交错并联DC/DC变换器的研究[J].电力系统保护与控制, 2012, 40(12):66-71.Wang Yubin. Study of interleaved DC/DC converter used in the first-stage of single-phase gird-connected inverter[J]. Power System Protection and Control, 2012, 40(12):66-71(in Chinese).
[3]刘洪臣,杨爽,王国立,等.基于开关电感结构的混合升压变换器非线性现象研究[J].物理学报, 2013, 62(15):1-8.Liu Hongchen, Yang Shuang, Wang Guoli, et al. Nonlinear phenomena in the hybrid step-up converter with switchedinductor structure[J]. Acta Physica Sinica, 2013, 62(15):1-8(in Chinese).
[4] Amit K S, Santanu K, Soumitro B J, et al. Nonlinear analysis of discretization effects in a digital current mode controlled boost converter[J]. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2015, 5(3):336-344.
[5] Tse C K, Bemardo M D. Complex behavior in switching power converters[J]. Proceeding of IEEE, 2002, 90(5):768-781.
[6] Jeremy R, Amable B, Adrien D, et al. Interference signal effects on a high-frequency monolithic voltage-controlled oscillator:Experiments and simulations[J]. IEEE Transactions on Electromagnetic Compatibility, 2014, 56(1):51-59.
[7] Tse C K, Zhou Yufei, Lau F C M, et al.“Intermittent” chaos and subharmonics in switching power supplies[J]. Inernational Symposium on Circuits and systems, 2004, 3(3):332-335.
[8] Tse C K, Zhou Yufei, Lau F C M, et al. Intermittent chaos in switching power supplies due to unintended coupling of spurious signals[C]. IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC’03. Acapulco, Mexico,Mexico, 2003, 2:642-647.
[9]周宇飞,陈军宁, Chi K Tse,等.开关功率变换器中的间歇现象—理论分析[J].电子学报, 2004, 32(2):269-273.Zhou Yufei, Chen Junning, Tse C K, et al. Intermittency in switching power converters:Theoretical analysis[J]. Acta Electronica Sinica, 2004, 32(2):269-273(in Chinese).
[10]刘伟增,张浩,马西奎.基于频闪映射的Boost PFC变换器中的间歇性分岔和混沌现象分析[J].中国电机工程学报, 2005, 25(1):43-48.Liu Weizeng, Zhang Hao, Ma Xikui. Analysis of intermittent bifurcations and chaos phenomena in Boost PFC converters by stroboscopic map[J]. Proceedings of the CSEE, 2005, 25(1):43-48(in Chinese).
[11] He Junpeng, Xu Jianping, Yan Tiesheng. Peak currentcontrolled CRM flyback PFC converter with square of line voltage-compensated primary current envelope[J]. Electronics Letters, 2015, 51(9):684-686.
[12] Shrivastava A, Roberts N E, Khan O U, et al. A 10 mVinput boost converter with inductor peak current control and zero detection for thermoelectric and solar energy harvesting with 220 mV cold-start and-14.5 dBm, 915MHz RF kick-start[J]. IEEE Journal of Solid-State Circuits,2015, 50(8):1820-1832.
[13] Huang Meng, Wong S C, Tse C K, et al. Catastrophic bifurcation in three-phase voltage-source converters[J]. IEEE Transactions on Circuits and Systems I:Regular Papers,2013, 60(4):1062-1071.
[14]李耀伟,彭战松,俞建宁.三维自治系统的稳定性分析及其分岔研究[J].重庆理工大学学报:自然科学版, 2013, 27(10):121-124.Li Yaowei, Peng Zhansong, Yu Jianning. Three-dimensional autonomous system stability and bifurcation analysis[J].Journal of Chongqing University of Technology:Natural Science, 2013, 27(10):121-124(in Chinese).
[15]刘啸天,周国华,李振华,等.基于双缘调制的数字电压型控制Buck变换器离散迭代映射建模与动力学分析[J].物理学报, 2015, 64(22):1-12.Liu Xiaotian, Zhou Guohua, Li Zhenhua, et al. Discrete iterative-map modeling and dynamical analysis of digital voltage-mode controlled buck converter with dual-edge modulation[J]. Acta Physica Sinica, 2015, 64(22):1-12(in Chinese).
[16]吕宁,李晶,孟祥雪,等.电磁轴承-转子系统的非线性动力学行为分析[J].重庆理工大学学报:自然科学版, 2012,26(12):99-102.Lyu Ning, Li Jing, Meng Xiangxue, et al. Research on the nonlinear dynamic behavior of electromagnetic bearing-rotor system[J]. Journal of Chongqing University of Technology:Natural Science, 2012, 26(12):99-102(in Chinese).
[17]张柏华,李虹,王博宇,等.混沌SPWM功率变换器IGBT的Icepak温升仿真与实验[J].电源学报, 2014, 12(3):42-46.Zhang Baihua, Li Hong, Wang Boyu, et al. Thermal simulation and experiments of IGBTs in chaotic SPWM converter based on icepak software[J]. Journal of Power Supply,2014, 12(3):42-46(in Chinese).
[18]赵治华,张向明,李建轩,等.互感耦合电磁干扰的对消方法[J].电工技术学报, 2010, 25(1):19-23.Zhao Zhihua, Zhang Xiangming, Li Jianxuan, et al. Cancellation method to control mutual-inductance coupling EMI[J]. Transactions of China Electrotechnical Society, 2010,25(1):19-23(in Chinese).
[19]童金禄,陈德怀,齐珍,等.强激光能源系统故障保护对策与电磁干扰抑制方法[J].中国电机工程学报, 2012, 32(28):97-104.Tong Jinlu, Chen Dehuai, Qi Zhen, et al. Fault protective measures and EMI depressing approach for power conditioning systems in high power lasers[J]. Proceedings of the CSEE, 2012, 32(28):97-104(in Chinese).
[20]李贵山,杨建平,黄晓峰.电磁干扰(EMI)和射频干扰(RFI)及其抑制措施研究[J].电力系统及其自动化学报,2002, 14(4):36-44.Li Guishan, Yang Jianping, Huang Xiaofeng. The study of EME/RFI and its rejection[J]. Proceedings of the CSU-EPSA, 2002, 14(4):36-44(in Chinese).