-
摘要: 由于插电式混合动力汽车电池可以通过电网获取比较廉价的电量,传统的控制策略只考虑充分利用电池电量,但忽略了过度使用电池,会加快动力电池容量的衰退。因此,如何权衡充分利用电池电量与抑制电池容量衰退是新的研究重点。基于电池的半经验衰退模型,引入电池利用程度因子,建立权衡电池容量衰退的能量管理策略。通过Pareto非劣目标域选取合适的权重因子,将多目标优化问题转化为单目标问题,采用动态规划算法获得权重系数全局最优解,通过权衡不同权重下的油耗和电池容量衰退程度选择最优权重系数。在燃油消耗相当的情况下,当权重系数为0.9时,可有效抑制电池寿命的衰减速度。最后,通过在线等效油耗最小策略仿真与在同一权重下的动态规划解进行比较来验证其有效性。Abstract: As environmental problems become increasingly severe, achieving qualitative breakthroughs in the energy consumption and emissions of traditional internal combustion engine vehicles is difficult. In contrast, new energy vehicles are environmentally friendly and have low fuel consumption, which is important for the future development of vehicles. A plug-in hybrid electric vehicle (PHEV) is widely regarded as the most promising alternative solution for improving energy efficiency and reducing emissions. The optimization of the energy management strategy (EMS) mainly focuses on reducing fuel consumption and improving the economy. However, the durability of the power battery also needs attention, as the lack of life remains a major obstacle to the large-scale commercialization of PHEVs. Because PHEV batteries can obtain relatively cheap power through the grid, the traditional control strategy only considers the full use of the battery power but ignores its excessive use, which will accelerate the decline of the power battery capacity. Therefore, determining how to make full use of the battery power and control the decline of the battery capacity is a new research focus. Based on the semiempirical decay model of the battery, the energy management strategy of balancing the degradation of the battery capacity was established by introducing the battery utilization degree factor. The multiobjective optimization problem was transformed into a single-objective problem by selecting the appropriate weight factor through the Pareto noninferior target domain. A dynamic programming algorithm was used to obtain the global optimal solution of the weight coefficient. The optimal weight coefficient was selected by weighing the fuel consumption and battery capacity decline degree under different weights. In the case of equivalent fuel consumption, the decay rate of battery life can be effectively inhibited when the weight coefficient is 0.9. Finally, the validity of the proposed solution is verified by comparing the online equivalent consumption minimization strategy (ECMS) simulation with the dynamic programming solution under the same weight.
-
Key words:
- battery aging /
- energy management strategy /
- fuel consumption /
- weight coefficient /
- dynamic programming
-
表 1 7个US06工况下的仿真结果
Table 1. Simulation results of 7 US06 operating conditions
$ \alpha $ Fuel consumption/L Effective ampere-hour flux/(A·h) 1 3.941 257.6 0.9 3.983 137.9 0.8 4.046 76.3 0.7 4.102 46.9 0.6 4.158 30.1 0.5 4.200 21 0.4 4.256 13.3 0.3 4.326 7.7 0.2 4.410 2.8 0.1 4.452 1.4 表 2 不同方法下的仿真结果对比
Table 2. Comparison of simulation results under different methods
Control strategy Fuel consumption/L Effective ampere-hour flux/(A·h) The final SOC DP 3.983 137.9 0.3032 ECMS 4.016 143.2 0.3010 -
参考文献
[1] Biswas A, Emadi A. Energy management systems for electrified powertrains: State-of-the-art review and future trends. IEEE Trans Veh Technol, 2019, 68(7): 6453 doi: 10.1109/TVT.2019.2914457 [2] Ding Z T, Deng T, Li Z F, et al. SOC estimation of lithium-ion battery based on ampere hour integral and unscented Kalman filter. China Mech Eng, 2020, 31(15): 1823 doi: 10.3969/j.issn.1004-132X.2020.15.009丁镇涛, 邓涛, 李志飞, 等. 基于安时积分和无迹卡尔曼滤波的锂离子电池SOC估算方法研究. 中国机械工程, 2020, 31(15):1823 doi: 10.3969/j.issn.1004-132X.2020.15.009 [3] Sheng J X, Zhang B J, Zhu B, et al. Parameter optimization and experimental comparison of two-speed pure electric vehicle transmission systems. China Mech Eng, 2019, 30(7): 763 doi: 10.3969/j.issn.1004-132X.2019.07.002盛继新, 张邦基, 朱波, 等. 两挡纯电动汽车传动系统参数优化和试验对比. 中国机械工程, 2019, 30(7):763 doi: 10.3969/j.issn.1004-132X.2019.07.002 [4] Chen S Y, Hung Y H, Wu C H, et al. Optimal energy management of a hybrid electric powertrain system using improved particle swarm optimization. Appl Energy, 2015, 160: 132 doi: 10.1016/j.apenergy.2015.09.047 [5] Liu Y G, Lu L L, Xie Q B, et al. Energy management strategy for plug-in hybrid electric vehicle based on road slope information. Chin J Eng, 2016, 38(7): 1025刘永刚, 卢立来, 解庆波, 等. 基于道路坡度信息的插电式混合动力汽车能量管理策略. 工程科学学报, 2016, 38(7):1025 [6] Ming L, Ying Y, Liang L J, et al. Energy management strategy of a plug-in parallel hybrid electric vehicle using fuzzy control. Energy Procedia, 2017, 105: 2660 doi: 10.1016/j.egypro.2017.03.771 [7] Lin X Y, Li X F, Shen Y, et al. Charge depleting range dynamic strategy with power feedback considering fuel-cell degradation. Appl Math Model, 2020, 80: 345 doi: 10.1016/j.apm.2019.11.019 [8] Tian H, Lu Z W, Wang X, et al. A length ratio based neural network energy management strategy for online control of plug-in hybrid electric city bus. Appl Energy, 2016, 177: 71 doi: 10.1016/j.apenergy.2016.05.086 [9] Xie S B, Hu X S, Xin Z K, et al. Pontryagin's Minimum Principle based model predictive control of energy management for a plug-in hybrid electric bus. Appl Energy, 2019, 236: 893 doi: 10.1016/j.apenergy.2018.12.032 [10] Lin X Y, Li H L. Adaptive control strategy extracted from dynamic programming and combined with driving pattern recognition for SPHEB. Int J Automot Technol, 2019, 20(5): 1009 doi: 10.1007/s12239-019-0095-7 [11] Hua Y, Zhou S D, He R, et al. Review on lithium-ion battery equilibrium technology applied for EVs. J Mech Eng, 2019, 55(20): 73华旸, 周思达, 何瑢, 等. 车用锂离子动力电池组均衡管理系统研究进展. 机械工程学报, 2019, 55(20):73 [12] Liu H L, Chen G P, Wang J W. Design and energy management of electro-hydraulic parallel hybrid power system for battery bus. Automot Eng, 2020, 42(12): 1621刘桓龙, 陈冠鹏, 王家为. 蓄电池公交车电液并联混合动力系统设计与能量管理. 汽车工程, 2020, 42(12):1621 [13] Shi Y S, Shi M Z, Ding E S, et al. Life prediction method of lithium ion battery based on CEEMDAN-LSTM combination. Chin J Eng, 2021, 43(7): 985史永胜, 施梦琢, 丁恩松, 等. 基于CEEMDAN–LSTM组合的锂离子电池寿命预测方法. 工程科学学报, 2021, 43(7):985 [14] Bai Y F, He H W, Li J W, et al. Battery anti-aging control for a plug-in hybrid electric vehicle with a hierarchical optimization energy management strategy. J Clean Prod, 2019, 237: 117841 doi: 10.1016/j.jclepro.2019.117841 [15] Feng Y B, Dong Z M. Optimal energy management with balanced fuel economy and battery life for large hybrid electric mining truck. J Power Sources, 2020, 454: 227948 doi: 10.1016/j.jpowsour.2020.227948 [16] Zhang X, Gao Y Z, Guo B J, et al. A novel quantitative electrochemical aging model considering side reactions for lithium-ion batteries. Electrochimica Acta, 2020, 343: 136070 doi: 10.1016/j.electacta.2020.136070 [17] Moura S J, Stein J L, Fathy H K. Battery-health conscious power management in plug-in hybrid electric vehicles via electrochemical modeling and stochastic control. IEEE Trans Control Syst Technol, 2013, 21(3): 679 doi: 10.1109/TCST.2012.2189773 [18] Zhang F T, Yang F Y, Xue D L, et al. Optimization of compound power split configurations in PHEV bus for fuel consumption and battery degradation decreasing. Energy, 2019, 169: 937 doi: 10.1016/j.energy.2018.12.059 [19] Zhang S, Hu X S, Xie S B, et al. Adaptively coordinated optimization of battery aging and energy management in plug-in hybrid electric buses. Appl Energy, 2019, 256: 113891 doi: 10.1016/j.apenergy.2019.113891 [20] Lin X Y, Li X F, Lin H B. Optimazation feedback control strategy based ECMS for plug-in FCHEV considering fuel cell decay. China J Highw Transp, 2019, 32(5): 153林歆悠, 李雪凡, 林海波. 考虑燃料电池衰退的FCHEV反馈优化控制策略. 中国公路学报, 2019, 32(5):153 [21] Xie S B, Hu X S, Zhang Q K, et al. Aging-aware co-optimization of battery size, depth of discharge, and energy management for plug-in hybrid electric vehicles. J Power Sources, 2020, 450: 227638 doi: 10.1016/j.jpowsour.2019.227638 [22] Engbroks L, Görke D, Schmiedler S, et al. Combined energy and thermal management for plug-in hybrid electric vehicles -analyses based on optimal control theory. IFAC PapersOnLine, 2019, 52(5): 610 doi: 10.1016/j.ifacol.2019.09.097 [23] Wang J, Liu P, Hicks-Garner J, et al. Cycle-life model for graphite-LiFePO4 cells. J Power Sources, 2011, 196(8): 3942 doi: 10.1016/j.jpowsour.2010.11.134 [24] Tang L, Rizzoni G, Onori S. Energy management strategy for HEVs including battery life optimization. IEEE Trans Transp Electrif, 2015, 1(3): 211 doi: 10.1109/TTE.2015.2471180 [25] Suri G, Onori S. A control-oriented cycle-life model for hybrid electric vehicle lithium-ion batteries. Energy, 2016, 96: 644 doi: 10.1016/j.energy.2015.11.075 [26] Onori S, Spagnol P, Marano V, et al. A new life estimation method for lithium-ion batteries in plug-in hybrid electric vehicles applications. Int J Power Electron, 2012, 4(3): 302 doi: 10.1504/IJPELEC.2012.046609 -