Stability Analysis and Active Damping Method of the Bipolar DC System with Constant Power Loads
You Xiaoyao1, Liu Heping1, Miao Yiru2, Liao Jianquan1, Huang Yuansheng1
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400044 China; 2. College of Electrical and Information Engineering Hunan University Changsha 410012 China
Abstract:Because of the negative incremental impedance characteristic, the constant power loads (CPLs) will adversely affect the stability of the DC system and cause system voltage oscillation. Current stability studies are mainly focusing on unipolar DC systems, and lack of research on bipolar DC systems. In this paper, a bipolar DC system based on a half-bridge voltage balancer is introduced. At first, a stability criterion for the bipolar system is illustrated. After that, the system model is derived by state space average method, and system transfer function is obtained. On this basis, a parallel virtual resistance damping method is proposed and analyzed for improving the stability of the bipolar DC system connected with CPLs. Furthermore, the Lyapunov indirect method is adopted to investigate the impact of unbalanced load on the system stability. It turns out that stability of the bipolar DC system is determined by the total output power of the system. Finally, simulation and experimental results verify the proposed method.
游逍遥, 刘和平, 苗轶如, 廖建权, 黄远胜. 带恒功率负载的双极性直流系统稳定性分析及其有源阻尼方法[J]. 电工技术学报, 2022, 37(4): 918-930.
You Xiaoyao, Liu Heping, Miao Yiru, Liao Jianquan, Huang Yuansheng. Stability Analysis and Active Damping Method of the Bipolar DC System with Constant Power Loads. Transactions of China Electrotechnical Society, 2022, 37(4): 918-930.
[1] Tomislav Dragicevic, Lu Xiaonan, Juan C V, et al.DC microgrids-part I: a review of control strategies and stabilization techniques[J]. IEEE Transactions on Power Electronics, 2016, 31(7): 4876-4891. [2] 郭力, 冯怿彬, 李霞林, 等. 直流微电网稳定性分析及阻尼控制方法研究[J]. 中国电机工程学报, 2016, 36(4): 927-936. Guo Li, Feng Yibin, Li Xialin, et al.Study on stability analysis and damping control method of DC micro grid[J]. Proceedings of the CSEE, 2016, 36(4): 927-936. [3] 季宇, 王东旭, 吴红斌, 等. 提高直流微电网稳定性的有源阻尼方法[J]. 电工技术学报, 2018, 33(2): 370-379. Ji Yu, Wang Dongxu, Wu Hongbin, et al.Active damping method for improving the stability of DC microgrid[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 370-379. [4] 孟建辉, 邹培根, 王毅, 等. 基于灵活虚拟惯性控制的直流微网小信号建模及参数分析[J]. 电工技术学报, 2019, 34(12): 2615-2626. Meng Jianhui, Zou Peigen, Wang Yi, et al.Small- signal modeling and parameter analysis of the DC microgrid based on flexible virtual inertia control[J]. Transactions of China Electrotechnical Society, 2019, 34(12): 2615-2626. [5] 李霞林, 张雪松, 郭力, 等. 双极性直流微电网中多电压平衡器协调控制[J]. 电工技术学报, 2018, 33(4): 721-729. Li Xialin, Zhang Xuesong, Guo Li, et al.Coordinated control of multiple voltage balancers in a bipolar DC microgrid[J]. Transactions of China Electrotechnical Society, 2018, 33(4): 721-729. [6] 汪飞, 雷志方, 徐新蔚. 面向直流微电网的电压平衡器拓扑结构研究[J]. 中国电机工程学报, 2016, 36(6): 1604-1612. Wang Fei, Lei Zhifang, Xu Xinwei.Research on topologies of voltage balancers applied in DC micro- grid[J]. Proceedings of the CSEE, 2016, 36(6): 1604-1612. [7] 杨美辉, 周念成, 王强钢, 等. 基于分布式协同的双极直流微电网不平衡电压控制策略[J]. 电工技术学报, 2020, 36(3): 634-645. Yang Meihui, Zhou Niancheng, Wang Qianggang, et al.Unbalanced voltage control strategy of bipolar DC microgrid based on distributed cooperation[J]. Transa- ctions of China Electrotechnical Society, 2020, 36(3): 634-645. [8] 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. [9] 郭伟, 赵洪山. 基于事件触发机制的直流微电网多混合储能系统分层协调控制方法[J]. 电工技术学报, 2020, 35(5): 1140-1151. Guo Wei, Zhao Hongshan.Coordinated control method of multiple hybrid energy storage system in DC microgrid based on event-triggered mechanism[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1140-1151. [10] Cai Wen, Yi Fan, Eva Cosoroaba, et al.Stability optimization method based on virtual resistor and nonunity voltage feedback loop for cascaded DC-DC converters[J]. IEEE Transactions on Industry Appli- cations, 2015, 51(61): 4575-4583. [11] 刘欣博, 高卓. 考虑恒功率负载与储能单元动态特性的直流微电网系统大信号稳定性分析[J]. 电工技术学报, 2019, 34(增刊1): 292-299. Liu Xinbo, Gao Zhuo.Large signal stability analysis of DC microgrid system considering dynamic characteri- stics of constant power load and energy storage system[J]. Transactions of China Electrotechnical Society, 2019, 34(S1): 292-299. [12] 朱晓荣, 孟欣欣. 直流微电网的稳定性分析及有源阻尼控制研究[J]. 高电压技术, 2020, 46(5): 1670-1681. Zhu Xiaorong, Meng Xinxin.Stability analysis and research of active damping control method for DC microgrids[J]. High Voltage Engineering, 2020, 46(5): 1670-1681. [13] Zhang Xin, Ruan Xinbo, Zhong Qingchang.Improving the stability of cascaded DC/DC converter systems via shaping the input impedance of the load converter with a parallel or series virtual impedance[J]. IEEE Transactions on Industrial Electronics, 2015, 62(12): 7499-7512. [14] Rahimi A M, Emadi A.Active damping in DC/DC power electronic converters: a novel method to overcome the problems of constant power loads[J]. IEEE Transactions on Industrial Electronics, 2009, 56(5): 1428-1439. [15] Zhang Xin, Zhong Qingchang, Ming Wenlong.Stabi- lization of cascaded DC/DC converters via adaptive series-virtual-impedance control of the load con- verter[J]. IEEE Transactions on Power Electronics, 2016, 31(9): 6057-6063. [16] 庞圣钊, 皇甫宜耿, 郭亮, 等. 基于Lyapunov间接法分析的恒功率负载电源变换器宽稳定控制策略[J]. 电工技术学报, 2017, 32(14): 146-154. Pang Shengzhao, Huangfu Yigeng, Guo Liang, et al.A novel wide stability control strategy of constant power load power converter based on the analysis of Lyapunvo indirect method[J]. Transactions of China Electrotechnical Society, 2017, 32(14): 146-154. [17] Wu Mingfei, Dylan Dahchuan Lu.A novel stabili- zation method of LC input filter with constant power loads without load performance compromise in DC microgrids[J]. IEEE Transactions on Industrial Elec- tronics, 2015, 62(7): 4552-4562. [18] Gu Yunjie, Li Wuhua, He Xiangning.Analysis and control of bipolar LVDC grid with DC symmetrical component method[J]. IEEE Transactions on Power Systems, 2016, 31(1): 685-694. [19] Kakigano Hiroaki, Miura Yushi, Ise Toshifumi.Low- voltage bipolar-type DC microgrid for super high quality distribution[J]. IEEE Transactions on Power Electronics, 2010, 25(12): 3066-3075. [20] Kakigano Hiroaki, Miura Yushi, Ise Toshifumi, et al.DC voltage control of the DC micro-grid for super high quality distribution[C]//Power Conversion Con- ference, Nagoya, Japan, 2007: 518-525. [21] Tan Longcheng, Wu Bin, Venkata Yaramasu, et al.Effective voltage balance control for bipolar-DC- bus-fed EV charging station with three-level DC-DC fast charger[J]. IEEE Transactions on Industrial Electronics, 2016, 63(7): 4031-4041. [22] Giel Van den Broeck, Jef Beerten, Mauricio Dalla Vecchia, et al. Operation of the full-bridge three-level DC-DC converter in unbalanced bipolar DC micro- grids[J]. IET Power Electronics, 2019, 12(9): 2256-2265. [23] Han Byungmoon.A half-bridge voltage balancer with new controller for bipolar DC distribution systems[J]. Energies, 2016, 9(3): 1-17. [24] Middlebrook R D.Input filter considerations in design and application of switching regulators[C]// IEEE IAS Annual Meeting, Chicago, IL, USA, 1976: 366-382. [25] 滕昌鹏, 王玉斌, 周博恺, 等. 含恒功率负载的直流微网大信号稳定性分析[J]. 电工技术学报, 2019, 34(5): 973-982. Teng Changpeng, Wang Yubin, Zhou Bokai, et al.Large-signal stability analysis of DC microgrid with constant power loads[J]. Transactions of China Electrotechnical Society, 2019, 34(5): 973-982.