Minimum Backflow Current Control of Under-Resonant-Dual-Bridge-Series-Resonant Converter
Gao Yihan1, Zhou Zihang1, Zhang Xin1,2, Ma Hao1,3
1. College of Electrical Engineering Zhejiang University Hangzhou 310027 China; 2. Hangzhou Global Scientific and Technological Innovation Center Hangzhou 310027 China; 3. Zhejiang University/University of Illinois at Urbana-Champaign Institute Haining 311200 China
Abstract:With bi-directional power transmission capability and high conversion efficiency, a dual- bridge-series-resonant converter (DBSRC) has attracted wide attention in battery charging and DC distribution systems. Since the soft-switching implementation of DBSRC is challenging when the voltage gain and load vary over a wide range, improvements in hardware and modulation schemes have been proposed to extend the soft-switching regions of the DBSRC. Nevertheless, it is still worth investigating to make the circuit simultaneously achieve full-load zero-voltage-switching (ZVS) operation and low circulating losses within a narrow switching frequency range without resorting to additional hardware components. This paper proposes an improved under-resonant control strategy, combining variable-frequency control and phase-shift control to minimize backflow current and optimize the root-mean-square (RMS) current. Firstly, inductor current expressions and ZVS conditions for different switches are explored through time-domain analysis. Compared with the optional range of Dφ under ZVS conditions, the soft-switching conditions of the circuit are simplified. When the voltage gain is less (more) than 1, implementing soft-switching on the V1 (V2) side enables full ZVS operation. Secondly, this paper adopts the KKT condition to derive the closed-form solutions of control variables to optimize backflow current while achieving full-load-range ZVS operation. According to the optimization results, the inner-phase-shift ratio is fixed at 1, and the outer-phase-shift ratio (Dφ) is expressed as a function of the frequency ratio and voltage gain. According to the r obtained from the output of the PI controller and the voltage gain of the circuit, a look-up table is established to quickly determine the value of Dφ, enhancing computational efficiency and dynamic performance. A 2 kW DBSRC prototype with an output voltage variation of 250 V~360 V was designed to estimate the effect of different control strategies. When the over-resonant variable-frequency phase-shift (VFM+PSM) control is adopted, a switching frequency range of 350 kHz to 660 kHz is required to ensure the circuit operates at full-range ZVS under different load conditions. The extended-pulse-width modulation (EPWM) control can hardly prevent the circuit from experiencing hard-switching at light-to-medium load conditions. In contrast, when the proposed minimum backflow current control is applied, a switching frequency range of 350 kHz to 450 kHz demonstrates the ability to achieve full-range ZVS operation even when the voltage gain is equal to or deviates from 1. It improves the ZVS performance and reduces the switching frequency range. Additionally, the proposed control strategy effectively reduces the backflow current and inductor RMS current, and a 2 A inductor RMS current reduction can be achieved under most load conditions. According to the experimental results, the effects of the proposed control strategy are summarized as follows. (1) The proposed minimum backflow current control provides full-range ZVS operation for the circuit without additional hardware components. (2) Compared with conventional strategies, the proposed control strategy can effectively extend the ZVS range while reducing the required switching frequency range. (3) In under-resonant operating mode, minimum backflow current control provides lower backflow current and inductor RMS current to reduce the circulating, conduction, and copper losses, improving transmission efficiency.
[1] 刘晓飞, 张千帆, 崔淑梅. 电动汽车V2G技术综述[J]. 电工技术学报, 2012, 27(2): 121-127. Liu Xiaofei, Zhang Qianfan, Cui Shumei.Review of electric vehicle V2G technology[J]. Transactions of China Electrotechnical Society, 2012, 27(2): 121-127. [2] 张晓峰, 吕征宇. 混合动力车用全数字电流控制型双向DC/DC变换器[J]. 电工技术学报, 2009, 24(8): 84-89, 105. Zhang Xiaofeng, Lü Zhengyu.Digital-current-controlled bi-directional DC/DC converter in the hybrid electric vehicle[J]. Transactions of China Electrotechnical Society, 2009, 24(8): 84-89, 105. [3] 李婧, 袁立强, 谷庆, 等. 一种基于损耗模型的双有源桥DC-DC变换器效率优化方法[J]. 电工技术学报, 2017, 32(14): 66-76. Li Jing, Yuan Liqiang, Gu Qing, et al.An efficiency optimization method in dual active bridge DC-DC converter based on loss model[J]. Transactions of China Electrotechnical Society, 2017, 32(14): 66-76. [4] 涂春鸣, 管亮, 肖凡, 等. 基于扩展移相控制下双有源桥移相角优化选取与分析[J]. 电工技术学报, 2020, 35(4): 850-861. Tu Chunming, Guan Liang, Xiao Fan, et al.Parameter optimization selection and analysis of dual active bridge based on extended phase shift control[J]. Transactions of China Electrotechnical Society, 2020, 35(4): 850-861. [5] 胡钰杰, 李子欣, 赵聪, 等. 基于MOSFET的串联谐振双有源桥死区振荡机理分析及抑制[J]. 电工技术学报, 2022, 37(10): 2549-2558. Hu Yujie, Li Zixin, Zhao Cong, et al.Mechanism analysis and suppression of oscillation in dead time of series resonant dual active bridge based on MOSFET[J]. Transactions of China Electrotechnical Society, 2022, 37(10): 2549-2558. [6] 王仁龙, 杨庆新, 操孙鹏, 等. 一种优化电流应力的双有源桥式DC-DC变换器双重移相调制策略[J]. 电工技术学报, 2021, 36(增刊1): 274-282. Wang Renlong, Yang Qingxin, Cao Sunpeng, et al.An optimized dual phase shift modulation strategy for dual active bridge DC-DC converter[J]. Transactions of China Electrotechnical Society, 2021, 36(S1): 274-282. [7] 王攀攀, 徐泽涵, 王莉, 等. 基于三重移相的双有源桥DC-DC变换器效率与动态性能混合优化控制策略[J]. 电工技术学报, 2022, 37(18): 4720-4731. Wang Panpan, Xu Zehan, Wang Li, et al.A hybrid optimization control strategy of efficiency and dynamic performance of dual-active-bridge DC-DC converter based on triple-phase-shift[J]. Transactions of China Electrotechnical Society, 2022, 37(18): 4720-4731. [8] 高宇, 李若愚, 李林柘, 等. 三重移相调制模式下双有源变换器的直接功率控制[J]. 电工技术学报, 2022, 37(18): 4707-4719. Gao Yu, Li Ruoyu, Li Linzhe, et al.Triple phase shift modulation-based direct power control strategy for a dual active bridge converter[J]. Transactions of China Electrotechnical Society, 2022, 37(18): 4707-4719. [9] 任伊昵, 高祎韩, 韩旭, 等. 基于双有源桥DC/DC变换器回流功率优化的变频移相混合控制策略[J]. 电源学报, 2018, 16(6): 27-33. Ren Yini, Gao Yihan, Han Xu, et al.Variable-frequency phase-shift hybrid control strategy for DAB DC/DC converter to optimize reactive power[J]. Journal of Power Supply, 2018, 16(6): 27-33. [10] 章治国, 余海生. 一种双有源桥谐振变换器的研究与设计[J]. 微电子学, 2012, 42(3): 356-362. Zhang Zhiguo, Yu Haisheng.Study and design of a dual active bridge resonant converter[J]. Micro-electronics, 2012, 42(3): 356-362. [11] 李福, 邓红雷, 张国驹, 等. 一种中间电容谐振型级联双向DC-DC变换器[J]. 电工技术学报, 2022, 37(20): 5253-5266. Li Fu, Deng Honglei, Zhang Guoju, et al.A cascaded bidirectional DC-DC converter with intermediate capacitor resonance[J]. Transactions of China Elec-trotechnical Society, 2022, 37(20): 5253-5266. [12] Wu Hongfei, Sun Kai, Li Yuewei, et al.Fixed-frequency PWM-controlled bidirectional current-fed soft-switching series-resonant converter for energy storage applications[J]. IEEE Transactions on Indu-strial Electronics, 2017, 64(8): 6190-6201. [13] 李玉慈. 一种谐振型双有源桥DC-DC变换器研究[D]. 秦皇岛: 燕山大学, 2017. [14] Corradini L, Seltzer D, Bloomquist D, et al.Minimum current operation of bidirectional dual-bridge series resonant DC/DC converters[J]. IEEE Transactions on Power Electronics, 2012, 27(7): 3266-3276. [15] Hong Jinsu, Choi S, Ha J I.A modulation method of series-resonant dual-active half-bridge converter for ZVS and minimum RMS current[C]//2022 Inter-national Power Electronics Conference (IPEC-Himeji 2022-ECCE Asia), Himeji, Japan, 2022: 1028-1035. [16] Bez F, Han Weijian, Corradini L.A low-complexity trajectory controller for reduced conduction losses in series-resonant dual half-bridge converters[J]. IEEE Transactions on Power Electronics, 2018, 33(11): 9963-9974. [17] Han Weijian, Corradini L.Control technique for wide-range ZVS of bidirectional dual-bridge series resonant DC-DC converters[C]//2018 IEEE 19th Work-shop on Control and Modeling for Power Electronics (COMPEL), Padua, Italy, 2018: 1-8. [18] 高祎韩. 高效率双有源桥串联谐振变换器研究[D]. 杭州: 浙江大学, 2020. [19] Yaqoob M, Loo K H, Lai Y M.A four-degrees-of-freedom modulation strategy for dual-active-bridge series-resonant converter designed for total loss mini-mization[J]. IEEE Transactions on Power Electronics, 2019, 34(2): 1065-1081. [20] Hu Song, Li Xiaodong, Zheng Qingfei.A dual-bridge DC-DC resonant converter using extended PWM and phase-shift control[J]. IEEE Transactions on Industry Applications, 2021, 57(4): 4009-4020. [21] Boyd S, Vandenberghe L.Convex Optimization[M]. Cambridge, UK: Cambridge University Press, 2004. [22] Han Weijian, Corradini L.General closed-form ZVS analysis of dual-bridge series resonant DC-DC con-verters[J]. IEEE Transactions on Power Electronics, 2019, 34(9): 9289-9302.