Abstract：Hybrid power supply systems (HPSS) can fully leverage the characteristics of different power sources to enhance the power supply performance of electrified transportation systems. However, extreme operating conditions of large-scale load switching can easily induce system instability. Traditional small-signal stability analysis methods struggle to address these large-disturbance scenarios comprehensively. This paper investigates the large-signal stability analysis of HPSS considering control dynamics based on the largest region of attraction (ROA). The impacts of control parameters and load power variations on HPSS large-signal stability are examined, and a stability enhancement scheme is proposed utilizing an active capacitor converter (ACC) to absorb pulsed power. The research reveals that resistance droop coefficients, proportional gains of PI regulators in the voltage and current loops, and load power constitute dominant instability characteristics in HPSS. Optimization of control parameters can expand the system's ROA, thereby achieving greater stability margins. Firstly, the main circuit model of the HPSS is constructed using the state average method. A control strategy combining virtual droop control and dual-loop PI control is employed to achieve dynamic power sharing, leading to the derivation of the mathematical model considering control dynamics. An ACC is integrated into the HPSS to decouple the high peak-to-average pulse power load. Notably, the voltage control loop of ACC is not employed for bus voltage regulation, but rather for the restoration of the energy storage capacitor voltage. Therefore, during pulse load operation, ACC can be equivalent to a current source that supplies instantaneous pulse current. It ensures zero energy interaction between ACC and HPSS while operating as a conventional load under non-pulse durations. Consequently, ACC can be considered a traditional load when conducting large-signal stability analysis. Therefore, a comprehensive HPSS state-space model for large-signal stability analysis incorporating control dynamics can be formulated without ACC. After that, the T-S fuzzy modeling method is employed to transfer the HPSS state-space model into a T-S fuzzy model, and then the largest ROA can be obtained through Lyapunov stability theory and linear matrix inequality (LMI) optimization. The most significant ROA estimation results reveal three dominant stability parameters: (1) The resistance droop coefficient (Rvfc) of the FC converter. (2) Proportional gains in both voltage and current loops of PI regulators of DC-DC converters. (3) Load power level variations. An experimental platform of HPSS incorporating FC, BAT, SC, and ACC was established in the lab. The experimental measurements demonstrate excellent agreement with the theoretical predictions derived from the largest ROA estimation-based stability analysis. Moreover, the HPSS exhibited instability within tens of milliseconds when the pulse power load is activated without ACC, while the HPSS remained stable with merely minor bus voltage fluctuations after integrating ACC. The following conclusions can be made. (1) The resistive droop coefficient and the proportional gain of the PI regulator are the primary parameters affecting system stability. (2) ACC-enabled power decoupling for pulse power loads significantly enhances system stability.
陈志跃, 陈家伟, 敖文杰, 杨磊. 含脉冲负载燃料电池-锂电池-超级电容混合供电系统大信号稳定性分析及提升方法[J]. 电工技术学报, 2026, 41(6): 2119-2131.
Chen Zhiyue, Chen Jiawei, Ao Wenjie, Yang Lei. Large-Signal Stability Analysis and Enhancement Strategies for Fuel Cell- Battery-Supercapacitor Hybrid Power Supply Systems with Pulsed Loads. Transactions of China Electrotechnical Society, 2026, 41(6): 2119-2131.
[1] 刘偲艳, 葛庆. 氢燃料汽车混合动力系统能量管理优化策略[J]. 电气技术, 2024, 25(9): 22-26. Liu Siyan, Ge Qing.Energy management optimization strategy for hydrogen fuel vehicle hybrid power system[J]. Electrical Engineering, 2024, 25(9): 22-26. [2] 敖文杰, 陈家伟, 陈杰, 等. 燃料电池-锂电池混合供电系统的无源控制策略及参数设计方法[J]. 电工技术学报, 2024, 39(2): 580-594. Ao Wenjie, Chen Jiawei, Chen Jie, et al.Passivitybased control strategy and parameter design method for fuel cell-lithium battery hybrid power supply system[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 580-594. [3] 高锋阳, 高翾宇, 张浩然, 等. 全局与瞬时特性兼优的燃料电池有轨电车能量管理策略[J]. 电工技术学报, 2023, 38(21): 5923-5938. Gao Fengyang, Gao Xuanyu, Zhang Haoran, et al.Management strategy for fuel cell trams with both global and transient characteristics[J]. Transactions of China Electrotechnical Society, 2023, 38(21): 5923-5938. [4] 高锋阳, 苏红宇, 查鹏堂, 等. 基于工况预测和动力源寿命衰减协同的燃料电池有轨电车能量管理策略[J]. 电工技术学报, 2025, 40(13): 4316-4329. Gao Fengyang, Su Hongyu, Zha Pengtang, et al.Energy management strategy for fuel cell hybrid tram system based on driving cycle prediction and power source lifespan decay synergy[J]. Transactions of China Electrotechnical Society, 2025, 40(13): 4316-4329. [5] 严锐浩, 许亮. 基于模糊控制优化小波分解的FCHEV能量管理策略[J/OL]. 电源学报, 1-12[202509-01]. https://link.cnki.net/urlid/12.1420.tm.20240425.1853.034. Yan Ruihao, Xu Liang. Fuzzy control based optimized wavelet decomposition for FCHEV energy management strategy[J/OL]. Journal of Power Supply, 1-12[2025-09-01]. https://link.cnki.net/urlid/12.1420. tm.20240425.1853.034. [6] 宋清超, 陈家伟, 蔡坤城, 等. 多电飞机用燃料电池-蓄电池-超级电容混合供电系统的高可靠动态功率分配技术[J]. 电工技术学报, 2022, 37(2): 445-458. Song Qingchao, Chen Jiawei, Cai Kuncheng, et al.A highly reliable power allocation technology for the fuel cell-battery-supercapacitor hybrid power supply system of a more electric aircraft[J]. Transactions of China Electrotechnical Society, 2022, 37(2): 445-458. [7] 郝艺, 周瑀涵, 刘晨曦, 等. 含跟网型储能的新能源多馈入系统小扰动电压支撑强度分析[J]. 电工技术学报, 2024, 39(11): 3569-3580. Hao Yi, Zhou Yuhan, Liu Chenxi, et al.Smalldisturbance voltage support strength analysis for renewable multi-infeed system with grid-following energy storage[J]. Transactions of China Electrotechnical Society, 2024, 39(11): 3569-3580. [8] Xu Qianwen, Wang Peng, Chen Jiawei, et al.A module-based approach for stability analysis of complex more-electric aircraft power system[J]. IEEE Transactions on Transportation Electrification, 2017, 3(4): 901-919. [9] Yang Dongsheng, Sun Yin.SISO impedance-based stability analysis for system-level small-signal stability assessment of large-scale power electronicsdominated power systems[J]. IEEE Transactions on Sustainable Energy, 2022, 13(1): 537-550. [10] 孙秋野, 李大双, 王睿, 等. “双高”电力系统: 一种新的稳定判据和稳定性分类探讨[J]. 中国电机工程学报, 2024, 44(8): 3016-3036. Sun Qiuye, Li Dashuang, Wang Rui, et al.Power system with high shares of renewables and power electronics: a new stability criterion and classification[J]. Proceedings of the CSEE, 2024, 44(8): 3016-3036. [11] Zhang Chen, Molinas M, Rygg A, et al.Impedancebased analysis of interconnected power electronics systems: impedance network modeling and comparative studies of stability criteria[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2020, 8(3): 2520-2533. [12] He Bangbang, Chen Wu, Zhang Chun, et al.Impedancebased stability of grid-connected DC distribution power systems: ACand DC-side stability criteria, equivalence, and difference[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2023, 11(6): 5842-5852. [13] Brayton R K, Moser J K.A theory of nonlinear networks. I[J]. Quarterly of Applied Mathematics, 1964, 22(1): 1-33. [14] Jarvis-Wloszek Z W. Lyapunov based analysis and controller synthesis for polynomial systems using sum-of-squares optimization[D]. Berkeley, CA, USA: University of California, Berkeley, 2003. [15] Takagi T, Sugeno M.Fuzzy identification of systems and its applications to modeling and control[J]. Readings in Fuzzy Sets for Intelligent Systems, 1993: 387-403. [16] Jiang Jianbo, Liu Fei, Pan Shangzhi, et al.A conservatism-free large signal stability analysis method for DC microgrid based on mixed potential theory[J]. IEEE Transactions on Power Electronics, 2019, 34(11): 11342-11351. [17] Chang Fangyuan, Cui Xiaofan, Wang Mengqi, et al.Large-signal stability criteria in DC power grids with distributed-controlled converters and constant power loads[J]. IEEE Transactions on Smart Grid, 2020, 11(6): 5273-5287. [18] Song Qingchao, Chen Jiawei, Loo K H, et al.Large-signal stability analysis of two-stage cascaded DC/DC converter systems using sum-of-squares programming[J]. IEEE Transactions on Power Electronics, 2024, 39(2): 2076-2085. [19] Liu Zhangjie, Ge Xin, Su Mei, et al.Complete large-signal stability analysis of DC distribution network via brayton-moser’s mixed potential theory[J]. IEEE Transactions on Smart Grid, 2023, 14(2): 866-877. [20] Papachristodoulou A, Prajna S.A tutorial on sum of squares techniques for systems analysis[C]// Proceedings of the 2005, American Control Conference, 2005, Portland, OR, USA, 2005: 2686-2700. [21] Severino B, Strunz K.Enhancing transient stability of DC microgrid by enlarging the region of attraction through nonlinear polynomial droop control[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2019, 66(11): 4388-4401. [22] Guthrie J.Large-signal stability analysis of pulsed constant power loads via sum-of-squares optimization[C]//2019 IEEE Electric Ship Technologies Symposium (ESTS), Washington, DC, USA, 2019: 127-133. [23] Topcu U, Packard A, Seiler P.Local stability analysis using simulations and sum-of-squares programming[J]. Automatica, 2008, 44(10): 2669-2675. [24] Reznick B. Some concrete aspects of Hilbert's 17th problem[J]. Contemporary mathematics, 2000, 253: 251-272. [25] Zheng Huajun, Yuan Xufeng, Cai Jie, et al.Largesignal stability analysis of DC side of VSC-HVDC system based on estimation of domain of attraction[J]. IEEE Transactions on Power Systems, 2022, 37(5): 3630-3641. [26] 明佳, 王玉斌, 王璠, 等. 直流微网的大信号稳定性分析及有源阻尼补偿方法[J]. 电工技术学报, 2021, 36(增刊2): 517-529. Ming Jia, Wang Yubing, Wang Fan, et al.Largesignal stability analysis and active damping compensation methods for DC microgrid[J]. Transactions of China Electrotechnical Society, 2021, 36(S2): 517-529. [27] Duan Ziyue, Meng Yongqing, Duan Yunkang, et al.Large-signal stability analysis and enhancement of modular multilevel matrix converter under power fluctuation based on T-S fuzzy model theory[J]. IEEE Transactions on Power Electronics, 2023, 38(11): 14601-14613. [28] Liu Sucheng, Li Xiang, Xia Mengyu, et al.Takagisugeno multimodeling-based large signal stability analysis of DC microgrid clusters[J]. IEEE Transactions on Power Electronics, 2021, 36(11): 12670-12684. [29] Chen Jiawei, Chen Jie.Stability analysis and parameters optimization of islanded microgrid with both ideal and dynamic constant power loads[J]. IEEE Transactions on Industrial Electronics, 2018, 65(4): 3263-3274. [30] Huang Xinze, Ruan Xinbo, Du Fangjun, et al.A pulsed power supply adopting active capacitor converter for low-voltage and low-frequency pulsed loads[J]. IEEE Transactions on Power Electronics, 2018, 33(11): 9219-9230.
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