Buck变换器的多频率矩阵模型及其在分布式供电系统中的应用

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (603 KB)
输出: BibTeX | EndNote (RIS)

摘要电力电子变换器是频域内典型的单输入多输出系统,当输入某一频率的扰动信号时,变换器各状态变量既包含扰动频率分量,也包含与扰动相关的边带频率成分。在包含多个电力电子变换器的分布式供电系统中,一个变换器的开关纹波为另一个变换器的扰动,这种相互作用在某些情况下可能会导致母线电压差频振荡从而影响系统电能质量。然而,传统小信号模型以单个变换器的分析和设计为背景提出,主要用于描述变换器的低频特性。由于这些模型忽略了开关变换器的很多固有特性,因此不能准确地分析上述变换器之间在开关频率附近的相互作用。为此,提出了一种新的矩阵小信号模型并以Buck变换器为例进行了详细的说明。该模型可以准确地描述变换器的单输入多输出特性,并解释分布式供电系统中电力电子变换器相互作用导致的母线电压差频振荡现象。对比结果表明,传统的平均小信号模型和多频率小信号模型都是所提出的矩阵模型在不同情况下的近似。仿真和实验结果证明了所提模型的准确性和有效性。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	岳小龙
	卓放
	杨书豪
	裴云庆
	孙力
	孙亮

关键词 ：分布式供电系统, Buck变换器, 多频率矩阵模型, 差频振荡

Abstract：Power electronic converters are typical single input multiple output (SIMO) systems in frequency domain. When a perturbation frequency is input, the state variables contain not only the perturbation frequency but also its sidebands. In distributed power system (DPS), the switching frequency ripples of one converter are the perturbations of the other converter. Such interaction may introduce thebeat frequency oscillation. However, traditional small-signal models mainly focus on the design and analysis of single converter, which ignore some inherent features of the switching converters. These models are questionable to analyze the interactions of power converter around their switching frequencies. Therefore, a matrix-basedmulti-frequency model is proposed. The voltage mode controlled buck converters are taken as examples. The proposedmodel could describe the SIMO characteristics of power electronic converters and explain the beat frequencyoscillations in DPS, while the traditional models fail to do. Detailed comparison shows that traditionalsmall-signal modelsare thesimplifications of the proposed model in different situations. The simulation and experimental results validate the proposed model.

Key words： Distributed power system Buck converter multifrequency matrix model beat frequency oscillation

收稿日期: 2015-06-03 出版日期: 2017-03-01

PACS:

TM46

基金资助:国家高科技研究发展计划（863计划）（2015AA050606）和国家自然科学基金（51177130）资助项目

通讯作者: 岳小龙男,1989年生,博士研究生,研究方向为微型电网基于阻抗的稳定性分析及阻抗测量。E-mail: xiaolong_yue@163.com

作者简介: 卓放男,1962年生,博士,教授,研究方向为电能质量控制、微型电网的运行与控制、微型电网参数测量及稳定性分析等。E-mail: zffz@mail.xjtu.edu.cn

引用本文:

岳小龙, 卓放, 杨书豪, 裴云庆, 孙力, 孙亮. Buck变换器的多频率矩阵模型及其在分布式供电系统中的应用[J]. 电工技术学报, 2017, 32(4): 250-259. Yue Xiaolong, Zhuo Fang, Yang Shuhao, Pei Yunqing, Sun Li, Sun Liang. A Multifrequency Matrix Model for Buck Converters and Its Application in Distributed Power System. Transactions of China Electrotechnical Society, 2017, 32(4): 250-259.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2017/V32/I4/250

[1] Guerrero J M, Chandorkar M, Lee T, et al. Advanced control architectures for intelligent microgrids-part I: decentralized and hierarchical control[J]. IEEE Transactions on Industrial Electronics, 2013, 60(4): 1254-1262.
[2] Zahedi B, Norum L E. Modeling and simulation of all-electric ships with low-voltage DC hybrid power systems[J]. IEEE Transactions on Power Electronics, 2013, 28(10): 4525-4537.
[3] Chen Y K, Wu Y C, Song C C, et al. Design and implementation of energy management system with fuzzy control for DC microgrid systems[J]. IEEE Transactions on Power Electronics, 2013, 28(4): 1563-1570.
[4] 王成山, 武震, 李鹏. 微电网关键技术研究[J]. 电工技术学报, 2014, 29(2): 1-12.
Wang Chengshan, Wu Zhen, Li Peng. Research on key technologies of microgrid[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 1-12.
[5] Feng Xiaogang, Liu Jinjun, Lee F C. Impedance specifications for stable DC distributed power systems[J]. IEEE Transactions on Power Electronics, 2002, 17(2): 157-162.
[6] 姚雨迎, 张东来, 徐殿国. 级联式DC/DC变换器输出阻抗的优化设计与稳定性[J]. 电工技术学报, 2009, 24(3): 147-152.
Yao Yuying, Zhang Donglai, Xu Dianguo. Output impedance optimization and stability for cascade DC/DC converter[J]. Transactions of China Electro- technical Society, 2009, 24(3): 147-152.
[7] 岳小龙, 卓放, 张政华, 等. 电力电子系统阻抗测量的分段二叉树法[J]. 电工技术学报, 2015, 30(24): 76-83.
Yue Xiaolong, Zhuo Fang, Zhang Zhenghua, et al. Segmented binary tree method for power electronic system impedance measurement[J]. Transactions of China Electrotechnical Society, 2015, 30(24): 76-83.
[8] Yue Xiaolong, Zhuo Fang, Wang Feng, et al. A novel adaptive frequency injection method for power electronic system impedance measurement[J]. IEEE Transactions on Power Electronics, 2014, 29(12): 6700-6711.
[9] 肖湘宁. 新一代电网中多源多变换复杂交直流系统的基础问题[J]. 电工技术学报, 2015, 30(15):1-14
Xiao Xiangning. Basic problems of the new complex AC-DC power grid with multiple energy resources and multiple conversions[J]. Transactions of China Electrotechnical Society, 2015, 30(15): 1-14.
[10] 沈鑫, 曹敏. 分布式电源并网对于配电网的影响研究[J]. 电工技术学报, 2015, 30(增1): 346-351.
Shen Xin, Cao Min. Research on the influence of distributed power grid for distribution network[J]. Transactions of China Electrotechnical Society, 2015, 30(S1): 346-351.
[11] 李霞林, 郭力, 王成山. 微网主从控制模式下的稳定性分析[J]. 电工技术学报, 2014, 29(2): 24-34.
Li Xialin, Guo Li, Wang Chengshan. Stability analysis in a master-slave control based microgrid[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 24-34.
[12] Dong D, Bo W, Boroyevich D, et al. Analysis of phase-locked loop low-frequency stability in three- phase grid-connected power converters considering impedance interactions[J]. IEEE Transactions on Industrial Electronics, 2015, 62(1): 310-321.
[13] Wang Xiongfei, Blaabjerg F, Wu Weimin. Modeling and analysis of harmonic stability in an AC power- electronics-based power system[J]. IEEE Transactions on Power Electronics, 2014, 29(12): 6421-6432.
[14] Yang Q, Ming X, Yao K, et al. Multifrequency small-signal model for Buck and multiphase Buck converters[J]. IEEE Transactions on Power Elec- tronics, 2006, 21(5): 1185-1192.
[15] Yang Q, Ming X, Juanjuan S, et al. A generic high-frequency model for the nonlinearities in Buck converters[J]. IEEE Transactions on Power Elec- tronics, 2007, 22(5): 1970-1977.
[16] Sun Jian, Bing Zhonghui, Karimi K J. Input impedance modeling of multipulse rectifiers by harmonic linearization[J]. IEEE Transactions on Power Electronics, 2009, 24(12): 2812-2820.
[17] Bing Zhonghui, Karimi K J, Sun Jian. Input impedance modeling and analysis of line-commutated rectifiers[J]. IEEE Transactions on Power Electronics, 2009, 24(10): 2338-2346.
[18] Sun Jian, Karimi K J. Small-signal input impedance modeling of line-frequency rectifiers[J]. IEEE Transactions on Aerospace and Electronic Systems, 2008, 44(4): 1489-1497.
[19] Wester G W, Middlebrook R D. Low-frequency characterization of switched DC-DC converters[J]. IEEE Transactions on Aerospace and Electronic Systems, 1973, 9(3): 376-385.
[20] Cuk S, Middlebrook R D. Advances in switched- mode power conversion: part I[J]. IEEE Transactions on Industrial Electronics, 1983, 30(1): 10-19.
[21] Tymerski R, Vorperian V, Lee F C, et al. Nonlinear modeling of the PWM switch[J]. IEEE Transactions on Power Electronics, 1989, 4(2): 225-233.
[22] Vorperian V. Simplified analysis of PWM converters using model of PWM switch: continuous conduction mode[J]. IEEE Transactions on Aerospace and Elec- tronic Systems, 1990, 26(3): 490-496.
[23] Yan Yingyi, Lee F C, Mattavelli P. Analysis and design of average current mode control using a describing-function-based equivalent circuit model[J]. IEEE Transactions on Power Electronics, 2013, 28(10): 4732-4741.
[24] Yan Yingyi, Lee F C, Mattavelli P. Unified three- terminal switch model for current mode controls[J]. IEEE Transactions on Power Electronics, 2012, 27(9): 4060-4070.
[25] Oppenheim, Alan V, Alan S, et al. Signals and systems[M]. Englewood Cliffs, NJ: Prentice-Hall, 1983.
[26] 岳小龙, 卓放, 杨书豪, 等. PWM比较器的采样模型及其矩阵描述[J]. 电气工程学报, 2015(4): 45-52.
Yue Xiaolong, Zhuo Fang, Yang Shuhao, et al. Sampling model and its matrix description for PWM com- parators[J]. Journal of Electrical Engineering, 2015(4): 45-52.
[27] 魏战线. 高等数学基础—线性代数与解析几何[M]. 北京: 高等教育出版社, 2004.