电压控制正极性输出罗变换器的改进平均模型建模及稳定性分析

王发强; 李晶; 马西奎

doi:10.7498/aps.64.210506

摘要

基于平均建模法并考虑到正极性输出罗(positive output super-lift Luo, POSL Luo)变换器中能量传输电容电压存在突变的事实, 建立了POSL Luo变换器的改进平均模型, 推导并分析了POSL Luo变换器输出电压对占空比的传递函数. 建立了电压控制POSL Luo变换器的输出电压对基准电压的传递函数, 分析了系统的稳定性. 采用PSIM软件进行电路仿真以及设计硬件电路进行电路实验, 以PSIM仿真结果和电路实验结果验证了模型的有效性和理论分析的正确性. 研究结果表明: 相比于POSL Luo变换器已有的平均模型, 采用本文的改进平均模型可有效的分析POSL Luo变换器的特性及电压控制POSL Luo变换器的稳定性.

关键词:

Abstract

Positive output super-lift (POSL) Luo converter, which has some particular good features: such as its power switch being grounded, high voltage gain and positive polarity output, is a good topology for overcoming the drawbacks of the conventional Buck and Boost converters to obtain high output voltage and power for satisfying the requirements in practical engineering. In this paper, based on the averaging method and taking into account the abrupt changing of the voltage across the energy-transferring capacitor, the improved reduced order averaged model and the corresponding small signal model of the POSL Luo converter are established, and its transfer function from the duty cycle to the output voltage is derived and analyzed. By combining the derived transfer function from the duty cycle to the output voltage of the POSL Luo converter, with that for the voltage compensator and that for the pulse width modalation (PWM) generator, the transfer function from the reference voltage to the output voltage of the voltage-mode controlled POSL Luo converter is also derived. And then, the stability of the voltage-mode controlled POSL Luo converter is identified by calculating the poles of its transfer function from the reference voltage to the output voltage, so the corresponding stability boundaries are obtained. The power electronic simulator (PSIM) software is applied to simulate the POSL Luo converter in time domain and frequency domain to preliminarily confirm the effectiveness of the established transfer function from the duty cycle to the output voltage of the POSL Luo converter, and to simulate the voltage-mode controlled POSL Luo converter to preliminarily verify the theoretical analysis about its stability. Finally, the hardware circuits for the POSL Luo converter and the voltage-mode controlled POSL Luo converter are designed, and the circuit experimental results in time domain from the digital oscilloscope and in frequency domain from the impedance/gain-phase analyzer are presented for further validation. Theoretical analysis, PSIM simulations and circuit experiments are in basic agreement with one other, and all of them demonstrate that it is effective to use the improved average model to analyze the performance of the POSL Luo converter and the stability of the voltage-mode controlled POSL Luo converter.

Keywords:

positive output super-lift Luo converter /
improved averaged model /
voltage-mode control

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;

2.
西安空间无线电技术研究所, 西安 710100

通信作者: 王发强, faqwang@mail.xjtu.edu.cn

基金项目: 国家自然科学基金(批准号: 51377124, 51221005)、高等学校全国优秀博士学位论文作者专项资金(批准号: 201337)、教育部新世纪优秀人才支持计划(批准号: NCET-13-0457)、中央高校基本科研业务费专项资金(批准号: 2012jdgz09)和电力设备电气绝缘国家重点实验室(批准号: EIPE15313)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;

2.
Xi'an Institute of Space Radio Technology, Xi'an 710100, China

Corresponding author: Wang Fa-Qiang, faqwang@mail.xjtu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51377124, 51221005), the Foundation for the Author of National Excellent Doctoral Dissertation of PR China (Grant No. 201337), the Program for New Century Excellent Talents in University of China (Grant No. NCET-13-0457), the Fundamental Research Funds for the Central Universities,China (Grant No. 2012jdgz09), and the State Key Laboratory of Electrical Insulation and Power Equipment of China (Grant No. EIPE15313).

参考文献

[1]	Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[2]	Sha J, Xu J P, Xu L J, Zhong S 2014 Acta Phys. Sin. 63 248401 (in Chinese) [沙金, 许建平, 许丽君, 钟曙 2014 物理学报 63 248401]
[3]	Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[4]	Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
[5]	Li G L, Li C Y, Chen X Y, Zhang X W 2013 Acta Phys. Sin. 62 210505 (in Chinese) [李冠林, 李春阳, 陈希有, 张晓伟 2013 物理学报 62 210505]
[6]	Axelrod B, Berkovich Y, Ioinovici A 2008 IEEE Trans. Circ. Syst. I 55 687
[7]	Ismail E H, Al-Saffar M A, Sabzali A J, Fardoun A A 2008 IEEE Trans. Circ. Syst. I 55 1159
[8]	Liu H C, Yang S, Wang G L, Li F 2013 Acta Phys. Sin. 62 150505 (in Chinese) [刘洪臣, 杨爽, 王国立, 李飞 2013 物理学报 62 150505]
[9]	Luo F L, Ye H 2003 IEEE Trans. Power Electron. 18 105
[10]	Zhu M, Luo F L 2009 J. Power Electron. 9 854
[11]	Ramash Kumar K, Jeevananthan S 2011 J. Power Electron. 11 639
[12]	Ramash Kumar K, Jeevananthan S 2010 World Acad. Sci. Eng. Technol. 4 623
[13]	Baghramian A, Eshyani H G 2013 4m th Power Electronics, Drive Systems & Technologies ConferenceTehran, Iran, February 13-14, 2013 p170
[14]	Kumar Ray S, Paul D, Nur T E, Paul K C 2012 Int. J. Innovat. Manage. Technol. 3 146
[15]	Shan Z L, Liu S, Luo F L 2012 China International Conference on Electricity Distribution Shanghai, China, September 5-6, 2012 p1
[16]	Middlebrook R D, Cuk S 1997 Int. J. Electron. 42 521
[17]	Zhang W P 2005 Modeling and Control of Switching Converter (Beijing: Chinese Electric Power Press) p15-125 (in Chinese) [张卫平 2005 开关变换器的建模与控制(北京: 中国电力出版社)第15–125页]
[18]	Onoda S, Emadi A 2004 IEEE Trans. Vehic. Technol. 53 390
[19]	Powersim Inc. (2010). PSIM User's Guide: Version 9.0, Release 3
[20]	Femia N, Fortunato M, Petrone G, Spagnuolo G, Vitelli M 2009 Int. J. Circ. Theor. Appl. 37 661

施引文献

[1]	Zhou G H, Xu J P, Bao B C, Zhang F, Liu X S 2010 Chin. Phys. Lett. 27 090504
[2]	Sha J, Xu J P, Xu L J, Zhong S 2014 Acta Phys. Sin. 63 248401 (in Chinese) [沙金, 许建平, 许丽君, 钟曙 2014 物理学报 63 248401]
[3]	Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[4]	Wang X M, Zhang B, Qiu D Y 2011 IEEE Trans. Power Electron. 26 2101
[5]	Li G L, Li C Y, Chen X Y, Zhang X W 2013 Acta Phys. Sin. 62 210505 (in Chinese) [李冠林, 李春阳, 陈希有, 张晓伟 2013 物理学报 62 210505]
[6]	Axelrod B, Berkovich Y, Ioinovici A 2008 IEEE Trans. Circ. Syst. I 55 687
[7]	Ismail E H, Al-Saffar M A, Sabzali A J, Fardoun A A 2008 IEEE Trans. Circ. Syst. I 55 1159
[8]	Liu H C, Yang S, Wang G L, Li F 2013 Acta Phys. Sin. 62 150505 (in Chinese) [刘洪臣, 杨爽, 王国立, 李飞 2013 物理学报 62 150505]
[9]	Luo F L, Ye H 2003 IEEE Trans. Power Electron. 18 105
[10]	Zhu M, Luo F L 2009 J. Power Electron. 9 854
[11]	Ramash Kumar K, Jeevananthan S 2011 J. Power Electron. 11 639
[12]	Ramash Kumar K, Jeevananthan S 2010 World Acad. Sci. Eng. Technol. 4 623
[13]	Baghramian A, Eshyani H G 2013 4m th Power Electronics, Drive Systems & Technologies ConferenceTehran, Iran, February 13-14, 2013 p170
[14]	Kumar Ray S, Paul D, Nur T E, Paul K C 2012 Int. J. Innovat. Manage. Technol. 3 146
[15]	Shan Z L, Liu S, Luo F L 2012 China International Conference on Electricity Distribution Shanghai, China, September 5-6, 2012 p1
[16]	Middlebrook R D, Cuk S 1997 Int. J. Electron. 42 521
[17]	Zhang W P 2005 Modeling and Control of Switching Converter (Beijing: Chinese Electric Power Press) p15-125 (in Chinese) [张卫平 2005 开关变换器的建模与控制(北京: 中国电力出版社)第15–125页]
[18]	Onoda S, Emadi A 2004 IEEE Trans. Vehic. Technol. 53 390
[19]	Powersim Inc. (2010). PSIM User's Guide: Version 9.0, Release 3
[20]	Femia N, Fortunato M, Petrone G, Spagnuolo G, Vitelli M 2009 Int. J. Circ. Theor. Appl. 37 661

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