不同开关频率下电压控制升压变换器中的Hopf分岔分析

王发强; 马西奎; 闫晔

doi:10.7498/aps.60.060510

摘要

由于电压控制升压变换器的传统平均模型中没有包含开关频率,从而无法分析开关频率的大小对电压控制升压变换器中Hopf分岔的影响. 通过建立电压控制升压变换器的含有开关频率的改进平均模型,分析了开关频率对电压控制升压变换器中Hopf分岔的影响,并设计硬件电路,给出电路试验结果. 研究表明:采用电压控制升压变换器的改进平均模型,可以有效地分析不同开关频率对电压控制升压变换器中Hopf分岔的影响; 随着开关频率的减小,电压控制升压变换器更易于发生Hopf分岔.

关键词:

Abstract

Due to the absence of the switching frequency in the conventional average model of the voltage-controlled boost converter, this model cannot be used to analyze the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter. In this paper, the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter is analyzed by establishing the improved averaged model, which contains the switching frequency. The circuit is designed, and some typical experimental results are given. It is found that it is effective to use the improved average model to analyze the influence of the switching frequency on the Hopf bifurcation in the voltage-controlled boost converter and the Hopf bifurcation is easy to occur when the switching frequency of the voltage-controlled boost converter decreases.

Keywords:

作者及机构信息

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

基金项目: 国家自然科学基金(批准号:51007068)、高等学校博士学科点专项科研基金(批准号:20100201120028)、中央高校基本科研业务费专项资金和电力设备电气绝缘国家重点实验室基金(批准号:EIPE10303)资助的课题.

Authors and contacts

1.
State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xian Jiaotong University, Xian 710049, China

参考文献

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施引文献

[1]	Yang X, Pei Y Q, Wang Z A 2004 The Technique of the Switching Power Supplies (Beijing: China Machine Press) p72 (in Chinese) [杨旭、裴云庆、王兆安 2004 开关电源技术(北京: 机械工业出版社)第72页]
[2]	Wang X M, Zhang B, Qiu D Y 2008 Acta Phys. Sin. 57 2728 (in Chinese) [王学梅、张波、丘东元 2008 物理学报 57 2728]
[3]	Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[4]	Zhang B, Qu Y 2002 Trans. Chin. Electrotech. Soc. 17 43 (in Chinese) [张波、曲颖 2002 电工技术学报 17 43]
[5]	Cheng W B, Guo Y N, Kang S M, Wang Y L, Huo A Q, Tang N 2009 Acta Phys. Sin. 58 4439 (in Chinese) [程为彬、郭颖娜、康思民、汪跃龙、霍爱清、汤楠 2009 物理学报 58 4439]
[6]	Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成、许建平、刘中 2009 物理学报 58 2949]
[7]	EI-Aroudi A, Benadero L, Toribio E, Olivar G 1999 IEEE Trans. Circ. Syst. Ⅰ 46 1374
[8]	EI-Aroudi A, Leyva R 2001 IEEE Trans. Circ Syst. Ⅰ 48 967
[9]	Iu H H C, Tse C K, Pjevalica V, Lai Y M 2001 Int. J. Circ. Theor. Appl. 29 281
[10]	Cai L J, Hu D C, Liu Y G 2006 J. South Chin. Univ. Technol. (Nat. Sci. Edi.) 34 77 (in Chinese) [蔡丽娟、胡德成、刘勇刚 2006 华南理工大学学报(自然科学版)34 77]
[11]	Iu H H C, Tse C K 2003 IEEE Trans. Circ. Syst. Ⅰ 50 679
[12]	Zhou Y F, Chen J N 2005 Proce. CSEE 25 23 (in Chinese) [周宇飞、陈军宁 2005 中国电机工程学报 25 23]
[13]	Zhou Y F, Jiang X D, Chen J N 2009 Sci. China Ser. F: Inf. Sci. 39 635 (in Chinese) [周宇飞、姜学东、陈军宁 2009 中国科学F辑:信息科学 39 635]
[14]	Wang X M, Zhang B, Qiu D Y, Chen L G 2008 Acta Phys. Sin. 57 6112 (in Chinese) [王学梅、张波、丘东元、陈良刚 2008 物理学报 57 6112]
[15]	Zhou Y F, Chen J N, Tse C K, Ke D M, Shi L X, Sun W F 2004 Acta Phys. Sin. 53 3676 (in Chinese) [周宇飞、陈军宁、谢智刚、柯导明、时龙兴、孙伟峰 2004 物理学报 53 3676]
[16]	Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) [卢伟国、周雒维、罗全明、杜雄 2007 物理学报 56 6275]
[17]	Ren H P, Liu D 2004 J. Syst. Simul. 16 2529 (in Chinese) [任海鹏、刘丁 2004 系统仿真学报 16 2529]
[18]	Yan S G, Zhang C H 2007 The Problem and Answer of the Power Electronic Technology (Beijing: China Machine Press) p261 (in Chinese) [颜世钢、张承慧 2007 电力电子技术问答(北京:机械工业出版社)第261页]
[19]	Huang J F, Dong F B 2009 Electr. Power Autom. Equip. 29 73 (in Chinese) [皇金锋、董锋斌 2009 电力自动化设备 29 73]
[20]	Onoda S, Emadi A 2004 IEEE Trans. Vehic. Technol. 53 390
[21]	Ji Z C, Zhou H, Li S D 2004 J. Syst. Simul. 16 898 (in Chinese) [纪志成、周寰、李三东 2004 系统仿真学报 16 898]
[22]	Veerachary M 2006 IEEE Trans. Aerospace Electron. Syst. 42 735.
[23]	Zhang W P 2006 Modeling and Control of Switching Converter (Beijing: Chinese Electric Power Press) (in Chinese) p6 [张卫平 2006 开关变换器的建模与控制(北京:中国电力出版社)第6页]
[24]	Lehman B, Bass R M 1996 IEEE Trans. Power Electron. 11 542
[25]	Lehman B, Bass R M 1996 IEEE Trans. Power Electron. 11 89

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