随着新能源技术的发展与应用，传统升压电路的电压传输比已不足以满足应用要求，基本二次型Buck-Boost变换器具有输入输出同极性，增益高等优点，具备在新能源发电场合应用的条件，但其输入电感电流应力过大影响了变换器的效率和增加了器件选型要求。为此，本文对开关电感二次型Buck-Boost变换器进行深入研究，对二次型Buck-Boost变换器的推广应用具有重要指导意义。

本文在分析基本二次型Buck-Boost拓扑优缺点的基础上，提出了一种基于开关电感的二次型Buck-Boost拓扑，通过对其能量传输过程进行分析，得出该拓扑存在四种工作模式；通过对各模式下器件应力分析，得出了使得输入电感电流小且开关管电压应力低的最佳工作模式，推导得出了工作于该模式时的电压增益、临界电感、电感峰值电流等的解析表达式。通过与基本二次型Buck-Boost变换器进行对比分析，表明所提出拓扑增益提高了一倍，输入电感电流应力减小约一倍。详细分析了电感电流在全动态范围内变化情况，指出当输出电感工作在CCM时，流经电感的电流与输入电压V_in和负载电阻R成反比，输出电感工作在DCM时，流经电感的电流与输入电压V_in无关。输入电感的电流大小不仅受输入电压V_in、负载电阻R和电感自身的取值影响，同时还随输出电感工作模式的改变而变化。通过对变换器输出纹波电压分析，分别得出了输出电压纹波与输出电感大小、输入电压V_in、负载电阻R之间的关系。将磁集成技术应用于所提出的新颖二次型Buck-Boost拓扑，并分析得出了电气性能指标与元器件参数之间的解析式。给出了电路中功率器件的选型依据和储能元件的设计方法，并设计了开关电感的磁耦合方案，进一步指导了本文所提变换器的分析与设计。

根据设计指标要求，制作了一台试验样机，并进行了仿真分析和实验验证。实验结果表明，本文所提拓扑具有更好的工作性能，从而验证了理论分析与参数设计的正确性。

With the development and application of new energy technology, the voltage transfer ratio of the traditional boost circuit is no longer sufficient to meet the application requirements. The basic quadratic Buck-Boost converter has the advantages of input and output with the same polarity and high gain. Therefore, it has the conditions for application in new energy power generation. However, the excessive stress of the input inductor current affects the efficiency of the converter and increases the requirements for device selection. For this reason, this article conducts in-depth research on the switched-inductor quadratic Buck-Boost converter, which has important guiding significance for the promotion and application of the quadratic Buck-Boost converter.

Based on the analysis of the advantages and disadvantages of the basic quadratic buck-boost topology, a quadratic buck-boost topology based on switching inductance is proposed. Through the analysis of its energy transmission process, it is found that there are four operating modes in this topology. By analyzing the stress of the device in each mode, the best working mode which makes the input inductance current small and the switch voltage stress low is obtained, and the analytical expressions of the voltage gain, the critical inductance and the peak current of the inductance when working in this mode are derived. Compared with the basic quadratic buck-boost converter, it is shown that the proposed topological gain is doubled and the current stress of the input inductor is reduced by about twice. It is pointed out that when the output inductor is working at CCM, the current flowing through the inductor is inversely proportional to the input voltage V_in and the load resistance R. When the output inductor is working at DCM, the current flowing through the inductor is independent of the input voltage V_in. The current of the input inductor is not only affected by the input voltage V_in, the load resistance R and the value of the inductor itself, but also changes with the working mode of the output inductor. By analyzing the output voltage ripple of the converter, the relationship between the output voltage ripple and the output inductance, the input voltage V_in and the load resistance R is obtained. The magnetic integration technique was applied to the proposed novel quadratic Buck-Boost topology, and the analytical expression between the electrical performance index and the component parameters was obtained. The selection basis of the power device in the circuit and the design method of the energy storage element are given, and the magnetic coupling scheme of the switching inductor is designed, which further guides the analysis and design of the converter presented in this paper.

According to the requirements of the design index, an experimental prototype is designed, and the simulation analysis and experimental verification are carried out, and the experimental results show that the topology proposed in this paper has better working performance, thus verifying the correctness of theoretical analysis and parameter design.

[1] 邹才能,熊波,薛华庆等.新能源在碳中和中的地位与作用[J].石油勘探与开发,2021,48(02):411-420.

[2] 丛晶,宋坤,鲁海威,高晓峰,肖白.新能源电力系统中的储能技术研究综述[J].电工电能新技术,2014,33(03):53-59.

[3] 田蓬勃.新能源发电技术在电力系统中的应用效果研究[J].中国设备工程,2018(22):214-215.

[4] 曾波.低碳经济环境下的新能源技术发展研究[J].节能,2019,38(09):175-176.

[5] 李定海.太阳能光伏发电技术现状分析[J].科技风,2017(21):93.

[6] 吴迎新,田李剑.太阳能光伏发电现状研究及问题分析[J].技术与市场,2019,26(01):115-116.

[7] 杨博文.能源转型中未来主力能源发展方向探析[J].能源与节能,2020(06):49-50+91.

[8] Revathi B S, Prabhakar M. Non isolated high gain DC-DC converter topologies for PV applications–A comprehensive review[J]. Renewable and Sustainable Energy Reviews, 2016, 66: 920-933.

[9] Poorali B, Torkan A, Adib E. High step-up Z-source DC–DC converter with coupled inductors and switched capacitor cell[J]. IET Power Electronics, 2015, 8(8): 1394-1402.

[10] Tseng K C, Huang C C, Cheng C A. A single-switch converter with high step-up gain and low diode voltage stress suitable for green power-source conversion[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2015, 4(2): 363-372.

[11] 林国庆,张宙.一种双输入高增益DC-DC变换器[J].电机与控制学报,2021,25(01):103-114.

[12] SanjayaManiktala. 精通开关电源设计(第2版)[M].人民邮电出版社,2015:524.

[13] 刘树林,刘健.开关变换器分析与设计[M].北京:机械工业出版社,2011.

[14] 王涛,巫旺,牛明哲,张骞.二次型Buck变换器的分析与设计[J].电源学报,2017,15(01):146-152.

[15] 王蕊. 改进型二次型DC/DC变换器的研究[D].重庆大学,2016.

[16] 董文琦,马步云,才鸿飞,侯世英,陈复.改进二次型Boost变换器的研究与分析[J].重庆大学学报,2016,39(02):51-57.

[17] 舒立三,许建平,杨平,董政.三态伪连续导电模式二次型Boost变换器研究[J].电工电能新技术,2015,34(01):7-11.

[18] 杨平,许建平,张士宇,王金平.峰值电流控制二次型Boost变换器[J].电工技术学报,2011,26(05):101-107.

[19] 杨平,许建平,张士宇,张斐.二次型CCM Boost变换器能量传输模式[J].电机与控制学报,2012,16(06):44-49.

[20] 杨平,许建平,董政,周国华.二次型Boost变换器工作模式及输出电压纹波分析[J].电工技术学报,2014,29(08):110-118.

[21] 冯金芝,李增辉.二次型CCM Buck变换器的电流应力及效率分析[J].电子科技,2016,29(08):51-54.

[22] 廖志凌,刘康.一种新型基于二次型Buck变换器的交错并联LED驱动电源[J].电子器件,2018,41(01):207-211.

[23] Maksimovic D, Cuk S. Switching converters with wide DC conversion range[J]. IEEE Transactions on Power Electronics, 1991, 6(1):151-157.

[24] Alonso J M, Viña J, Gacio D, et al. Analysis and design of the quadratic buck-boost converter as a high-power-factor driver for power-LED lamps[C]//IECON 2010-36th Annual Conference on IEEE Industrial Electronics Society. IEEE, 2010: 2541-2546.

[25] 修瑞仙,张士宇.二次型Buck-Boost变换器在光伏系统的应用分析[J].山西建筑,2015,41(35):223-226.

[26] Marcos Orellana，Stephane Petibon，Bruno Estibals，et al． Four Switch Buck-Boost Converter for Photovoltaic DC-DC Power Applications．IECON 2010-36th Annual Conference on IEEE Industrial Electronics Society，2010: 469-474．

[27] Yao Chuan，Ruan Xinbo，Wang Xuehua.Isolated Buck-BoostDC/DC converter for PV grid-connected system.Industrial Electronics[C]，2010 IEEE International Symposium on Digital Object Identifier,2010: 889-894．

[28] Nousiainen L , Suntio T . Dual-mode current-fed semi-quadratic buck-boost converter for transformerless modular photovoltaic applications[C]// European Conference on Power Electronics & Applications. IEEE, 2011.

[29] Mostaan A, Gorji S A, Soltani M, et al. A novel quadratic buck-boost DC-DC converter without floating gate-driver[C]//2016 IEEE 2nd Annual Southern Power Electronics Conference (SPEC). IEEE, 2016: 1-5.

[30] Pires V F, Foito D, Cordeiro A. Bidirectional boost/buck quadratic converter for distributed generation systems with electrochemical storage systems[C]//2016 IEEE International Conference on Renewable Energy Research and Applications (ICRERA). IEEE, 2016: 879-884.

[31] M iao S , Wang F , Ma X . A New Transformerless Buck–Boost Converter With Positive Output Voltage[J]. IEEE Transactions on Industrial Electronics, 2016, 63(5):2965-2975.

[32] 陈为,何建农.电力电子高频磁技术及其发展趋势[J].电工电能新技术,2000(02):32-36.

[33] 陈乾宏. 开关电源中磁集成技术的应用研究[D].南京航空航天大学,2002

[34] 乔蕾,刘永强.磁集成技术及其在电力电子中的应用[J].电力系统及其自动化学报,2005(03):35-41.

[35] 卢增艺,陈为,章进法.磁集成开关变换器的小信号建模方法[J].电工技术学报,2015,30(24):103-109

[36] 乔文转,张少如,张蒙蒙,赵志霄.一种非对称交错并联高增益DC-DC变换器[J].电力系统保护与控制,2019,47(16):151-158.

[37] 周悦,孙孝峰.一种新型高增益双输入DC-DC变换器[J].电源学报,2020,18(05):79-87.

[38] 吴漾,陈章勇.一种高增益交错并联Boost-flyback变换器[J].电力电子技术,2016,50(04):22-24.

[39] 荣德生,孙瑄瑨,刘飞杨,宁博.一种新型磁集成二次型开关电感单元[J].电机与控制学报,2020,24(04):131-140.

[40] 李洪珠,兰天巍,张欣欣,李洪璠.磁集成开关电感/开关电容高增益Cuk变换器[J].电力电子技术,2020,54(01):103-106.

[41] 冷波.基于开关电感模块的Boost变换器[J].电力系统及其自动化学报,2019,31(09):110-115.

[42] Melo de Andrade Jessika,Coelho Roberto Francisco,Lazzarin Telles Brunelli. High step-up dc–dc converter based on modified active switched-inductor and switched-capacitor cells[J]. IET Power Electronics,2020,13(14).

[43] 杨佳琦,孔玲玲,高飞.直流微电网DC-DC变换器关键技术的研究综述[J].云南民族大学学报(自然科学版),2017,26(06):510-515.

[44] 李洪珠,兰天巍,张欣欣,李洪璠.磁集成开关电感/开关电容高增益Cuk变换器[J].电力电子技术,2020,54(01):103-106.

[45] 兰天巍. 磁集成高电压增益二次型Cuk变换器研究[D].辽宁工程技术大学,2020.

[46] 荣德生,孙瑄瑨,刘飞杨,宁博.一种新型磁集成二次型开关电感单元[J].电机与控制学报,2020,24(04):131-140.

[47] Zhang N, Zhang G, See K W, et al. A Single-Switch Quadratic Buck-Boost Converter With Continuous Input Port Current and Continuous Output Port Current[J]. IEEE Transactions on Power Electronics, 2018, 33: 4157-4166.

[48] Gholizadeh H, Sarikhani A, Hamzeh M. A transformerless quadratic buck-boost converter suitable for renewable applications[C]//2019 10th International Power Electronics, Drive Systems and Technologies Conference (PEDSTC). IEEE, 2019: 470-474.

[49] Umadevi D, Shivakumar E G. Fractional order PID controlled Quadratic-Boost-Converter-Multilevel inverter fed Induction Motor System[C]//2019 IEEE International Conference on Electrical, Computer and Communication Technologies (ICECCT). IEEE, 2019: 1-6.

[50] Rosas-Caro J C, Valdez-Resendiz J E, Mayo-Maldonado J C, et al. Quadratic buck–boost converter with positive output voltage and minimum ripple point design[J]. IET Power Electronics, 2018, 11(7): 1306-1313.