Acta Aeronautica et Astronautica Sinica ›› 2025, Vol. 46 ›› Issue (15): 131513.doi: 10.7527/S1000-6893.2025.31513
• Fluid Mechanics and Flight Mechanics • Previous Articles
Sanya SUN1,2, Zhuang SHAO1,2(
), Zhou ZHOU1,2, Kelei WANG1,2, Jia ZONG1,2
Received:2024-11-11
Revised:2024-12-18
Accepted:2025-02-03
Online:2025-02-10
Published:2025-02-10
Contact:
Zhuang SHAO
E-mail:shaozhuang233@nwpu.edu.cn
Supported by:CLC Number:
Sanya SUN, Zhuang SHAO, Zhou ZHOU, Kelei WANG, Jia ZONG. High-precision modeling and simulation of distributed propulsion energy systems for eVTOL/eSTOL[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(15): 131513.
Table 1
Battery parameter identification results
| SOC | ||||||
|---|---|---|---|---|---|---|
| 1.0 | 7.54 | 22.92 | 62.12 | 454.25 | 18.3 | 25.2 |
| 0.9 | 7.74 | 21.54 | 59.04 | 516.13 | 18.4 | 24.77 |
| 0.8 | 7.41 | 19.77 | 81.39 | 572.66 | 18.2 | 24.2 |
| 0.7 | 6.54 | 16.04 | 165.77 | 942.20 | 17.8 | 23.64 |
| 0.6 | 6.18 | 16.49 | 128.11 | 667.26 | 18.1 | 23.31 |
| 0.5 | 6.36 | 18.33 | 133.80 | 614.55 | 15.8 | 23.13 |
| 0.4 | 5.76 | 16.67 | 131.78 | 659.16 | 13.9 | 22.94 |
| 0.3 | 5.40 | 14.41 | 46.30 | 798.22 | 15.1 | 22.76 |
| 0.2 | 5.49 | 15.61 | 34.31 | 627.63 | 16.2 | 22.74 |
| 0.1 | 5.64 | 16.31 | 24.22 | 193.45 | 16.7 | 22.36 |
Table 2
Comparison of errors between two models
| 放电工况 | 模型类型 | MAE | 归一化误差/% | RMSE | |
|---|---|---|---|---|---|
| 恒流放电 | 1倍率 | 二阶RC电路 | 0.059 6 | 0.85 | 0.078 1 |
| Shepherd | 0.713 8 | 10.20 | 0.772 4 | ||
| 3倍率 | 二阶RC电路 | 0.139 8 | 1.99 | 0.159 0 | |
| Shepherd | 0.843 5 | 12.05 | 0.936 7 | ||
| 6倍率 | 二阶RC电路 | 0.165 4 | 2.36 | 0.207 1 | |
| Shepherd | 1.477 9 | 21.11 | 1.550 7 | ||
| 恒功率放电 | 400 W | 二阶RC电路 | 0.065 9 | 0.94 | 0.083 1 |
| Shepherd | 0.823 5 | 11.70 | 0.903 8 | ||
| [1] | ZAID A ABU, BELMEKKI B E Y, ALOUINI M S. eVTOL communications and networking in UAM: requirements, key enablers, and challenges[J]. IEEE Communications Magazine, 2023, 61(8): 154-160. |
| [2] | ZHAO W, WANG Y Q, LI L Q, et al. Design and flight simulation verification of the dragonfly eVTOL aircraft[J]. Drones, 2024, 8(7): 311. |
| [3] | 邓景辉. 电动垂直起降飞行器的技术现状与发展[J]. 航空学报, 2024, 45(5): 55-77. |
| DENG J H. Technical status and development of electric vertical take-off and landing aircraft[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(5): 55-77 (in Chinese). | |
| [4] | SHAHJAHAN S, GONG A, MOORE A, et al. Optimisation of proprotors for tilt-wing eVTOL aircraft[J]. Aerospace Science and Technology, 2024, 144: 108835. |
| [5] | DIXIT M, BISHT A, WITHERSPOON B, et al. Battery electrolyte design for electric vertical takeoff and landing (eVTOL) platforms[J]. Advanced Energy Materials, 2024, 14(29): 2400772. |
| [6] | 王科雷, 周洲, 郭佳豪, 等. 分布式动力翼前飞状态动力/气动耦合特性[J]. 航空学报, 2024, 45(2):137-155. |
| WANG K L, ZHOU Z, GUOJIA H, et al. Propulsive/aerodynamic coupled characteristics of distributed-propulsion-wing during forward flight[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(2): 137-155 (in Chinese). | |
| [7] | PARK J, LEE D, LIM D, et al. A refined sizing method of fuel cell-battery hybrid system for eVTOL aircraft[J]. Applied Energy, 2022, 328: 120160. |
| [8] | 于昊亮, 雷涛, 张星雨, 等. 一种分布式电推进飞机的多学科参数快速估计方法[J]. 航空科学技术, 2024, 35(1): 65-74. |
| YU H L, LEI T, ZHANG X Y, et al. A fast multidisciplinary parameter estimation method for distributed electric propulsion aircraft[J]. Aeronautical Science & Technology, 2024, 35(1): 65-74 (in Chinese). | |
| [9] | WANG M, DIEPOLDER J, ZHANG S, et al. Trajectory optimization-based maneuverability assessment of eVTOL aircraft[J]. Aerospace Science and Technology, 2021, 117: 106903. |
| [10] | TEKIN M, KARAMANGIL M İ. Comparative analysis of equivalent circuit battery models for electric vehicle battery management systems[J]. Journal of Energy Storage, 2024, 86: 111327. |
| [11] | 彭纪昌, 刘凯龙, 孟锦豪, 等. 基于变参数结构的锂离子电池建模方法[J]. 机械工程学报, 2024, 60(14): 298-305. |
| PENG J C, LIU K L, MENG J H, et al. Dynamically parameterized structure for lithium-ion battery method[J]. Journal of Mechanical Engineering, 2024, 60(14): 298-305 (in Chinese). | |
| [12] | 龙潘, 耿光超, 江全元, 等. 储能系统锂电池电热耦合建模及参数辨识方法研究[J]. 太阳能学报, 2024, 45(4): 318-327. |
| LONG P, GENG G C, JIANG Q Y, et al. Study on electrothermal coupling modeling and parameter identification of lithium battery energy storage system[J]. Acta Energiae Solaris Sinica, 2024, 45(4): 318-327 (in Chinese). | |
| [13] | GARCÍA-RODRÍGUEZ V H, SILVA-ORTIGOZA R, HERNÁNDEZ-MÁRQUEZ E, et al. DC/DC boost converter-inverter as driver for a DC motor: Modeling and experimental verification[J]. Energies, 2018, 11(8): 2044. |
| [14] | 吴雨林, 李众. 无刷直流电机的分数阶建模方法[J]. 计算机与数字工程, 2022, 50(2): 453-457. |
| WU Y L, LI Z. Method of fractional order modeling for BLDCM[J]. Computer & Digital Engineering, 2022, 50(2): 453-457 (in Chinese). | |
| [15] | SHI D J, DAI X H, ZHANG X W, et al. A practical performance evaluation method for electric multicopters[J]. IEEE/ASME Transactions on Mechatronics, 2017, 22(3): 1337-1348. |
| [16] | 雷涛, 孔德林, 王润龙, 等. 分布式电推进飞机动力系统评估优化方法[J]. 航空学报, 2021, 42(6): 44-63. |
| LEI T, KONG D L, WANG R L, et al. Evaluation and optimization method for power systems of distributed electric propulsion aircraft[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(6): 44-63 (in Chinese). | |
| [17] | WANG M K, ZHANG S G, JOHANNES D, et al. Battery package design optimization for small electric aircraft[J]. Chinese Journal of Aeronautics, 2020, 33(11): 2864-2876. |
| [18] | 张茂权, 陈海昕. 小型电动无人机航程航时估算模型[J]. 航空学报, 2021, 42(3): 104-112. |
| ZHANG M Q, CHEN H X. Estimated model of range and endurance of small electric UAVs[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(3): 104-112 (in Chinese). | |
| [19] | 邓涛, 谭溪, 熊志豪, 等. 垂直起降固定翼无人机混合电推进系统设计与仿真研究[J]. 重庆交通大学学报(自然科学版), 2023, 42(10): 156-162. |
| DENG T, TAN X, XIONG Z H, et al. Design and simulation of hybrid electric propulsion system for convertiplane[J]. Journal of Chongqing Jiaotong University (Natural Science), 2023, 42(10): 156-162 (in Chinese). | |
| [20] | GRANADO L, BEN-MARZOUK M, SOLANO SAENZ E, et al. Machine learning predictions of lithium-ion battery state-of-health for eVTOL applications[J]. Journal of Power Sources, 2022, 548: 232051. |
| [21] | 岳永胜, 孙冬, 许爽, 等. 锂离子电池等效电路模型的研究进展[J]. 电池, 2023, 53(6): 682-686. |
| YUE Y S, SUN D, XU S, et al. Research progress in equivalent circuit model for Li-ion battery[J]. Battery Bimonthly, 2023, 53(6): 682-686 (in Chinese). | |
| [22] | TOMASOV M, KAJANOVA M, BRACINIK P, et al. Overview of battery models for sustainable power and transport applications[J]. Transportation Research Procedia, 2019, 40: 548-555. |
| [23] | LI M T, CAO Y, WANG C S, et al. Evaluation and analysis of circuit model for lithium batteries[C]∥2022 41st Chinese Control Conference (CCC). Piscataway: IEEE Press, 2022: 1343-1348. |
| [24] | FULLER M E. A battery model for constant-power discharge including rate effects[J]. Energy Conversion and Management, 2014, 88: 199-205. |
| [25] | MOUSSA S, GHORBAL M J BEN. Shepherd battery model parametrization for battery emulation in EV charging application[C]∥2022 IEEE International Conference on Electrical Sciences and Technologies in Maghreb (CISTEM). Piscataway: IEEE Press, 2022: 1-6. |
| [26] | FOTOUHI A, AUGER D J, PROPP K, et al. Lithium-sulfur battery state-of-charge observability analysis and estimation[J]. IEEE Transactions on Power Electronics, 2018, 33(7): 5847-5859. |
| [27] | NIKOLIAN A, DE HOOG J, FLEURBAEY K, et al. Classification of electric modeling and characterization methods of lithium-ion batteries for vehicle applications[C]∥Proceedings of the European Electric Vehicle Congress 2014 . Brussels: European Electric Vehicle Congress, 2014: 13-16. |
| [28] | 代云腾, 彭乔, 刘天琪, 等. 适应高电流倍率工况的锂离子电池等效电路模型[J]. 储能科学与技术, 2023, 12(11): 3528-3537. |
| DAI Y T, PENG Q, LIU T Q, et al. Application of equivalent circuit model of lithium-ion batteries to high current rate condition[J]. Energy Storage Science and Technology, 2023, 12(11): 3528-3537 (in Chinese). | |
| [29] | 毛琦, 祝乔, 徐志杰, 等. 基于粒子群优化算法的锂电池模型参数辨识[J]. 电工技术, 2021(12): 156-157. |
| MAO Q, ZHU Q, XU Z J, et al. Parameter identification of batter model based on the particle swarm optimization[J]. Electric Engineering, 2021(12): 156-157 (in Chinese). | |
| [30] | 刘沛清. 空气螺旋桨理论及其应用[M]. 北京: 北京航空航天大学出版社, 2006: 75-82. |
| LIU P Q. Air propeller theory and its application[M]. Beijing: Beijing University of Aeronautics & Astronautics Press, 2006: 75-82 (in Chinese). | |
| [31] | BANGURA M, LIM H, KIM H J, et al. Aerodynamic power control for multirotor aerial vehicles[C]∥2014 IEEE International Conference on Robotics and Automation (ICRA). Piscataway: IEEE Press, 2014: 529-536. |
| [32] | LINDAHL P, MOOG E, SHAW S R. Simulation, design, and validation of an UAV SOFC propulsion system[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(3): 2582-2593. |
| [33] | DAI X H, QUAN Q, REN J R, et al. An analytical design-optimization method for electric propulsion systems of multicopter UAVs with desired hovering endurance[J]. IEEE/ASME Transactions on Mechatronics, 2019, 24(1): 228-239. |
| [34] | QIN J C, ZHOU Z, YANG G W, et al. Aero-propulsive coupling modeling and dynamic stability analysis of distributed electric propulsion tandem-wing UAV with rapid ascent capability[J]. Aerospace Science and Technology, 2024, 153: 109406. |
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