基于稀疏混沌多项式法的电动汽车无线电能传输效率不确定性量化

doi:10.13229/j.cnki.jdxbgxb.20230137

Abstract

Abstract:

The subspace pursuit-polynomial chaos expansion method （SP-PCE） was proposed for the uncertainty quantification of EV-WPT system's transfer efficiency. Firstly，by establishing the three-dimensional electromagnetic simulation model of EV-WPT system and reasonably setting the distribution type of relevant variables， the statistical characteristic parameters such as mean， variance and probability density curve that can characterize the uncertainty of EV-WPT system's transfer efficiency were calculated by SP-PCE method. Then， combining the SP-PCE method and Sobol method to carry out the global sensitivity analysis to obtain the influence degree's quantitative index of random input variables on system's transfer efficiency. Finally， the accuracy and efficiency of the proposed method were verified by numerical simulation experiments， which provides a theoretical basis for ensuring the high transfer efficiency of EV-WPT system as well as system's structure optimization.

Key words: vehicle engineering, wireless power transfer, magnetic coupling, uncertainty quantification, sparse polynomial chaos expansion method, global sensitivity analysis

CLC Number:

U469.72

Tian-hao WANG,Bo LI,Quan-yi YU,Lin-lin XU,Guo-qiang JIA,Shan-shan GUAN. Uncertainty quantification of electric vehicle's wireless power transfer efficiency based on sparse polynomial chaos expansion method[J].Journal of Jilin University(Engineering and Technology Edition), 2024, 54(12): 3433-3442.

Figures/Tables 10

Fig.1

Fig.2

Table 1

Orthogonal polynomials of common distribution types"

分布类型	变量范围	概率密度函数	正交多项式	权函数
均匀分布	$[- 1, + 1]$	1/2	Legendre $P n (x)$	1
正态分布	$[- ∞, + ∞]$	$1 / 2 π e - x 2 / 2$	Hermite $H n (x)$	$e - x 2 / 2$
指数分布	$[- 0, + ∞]$	$e - x$	Laguerre $L n (x)$	$e - x$
Gamma分布	$[- 0, + ∞]$	$x α e - x / Γ (α + 1)$	广义 Laguerre $L n (α, β) (x)$	$x α e - x$

Table 1

Table 2

Fig.3

Fig.4

Fig.5

Table 3

Sample points required for The SP-PCE method and the OLS-PCE method which is under different truncation orders and MC method and the calculated relevant parameters results obtained"

不同方法和截断阶数	传输效率均值/%	传输效率方差	计算时间/s	样本点	$ε L O O$
3阶OLS-PCE	84.01	2.69e-3	25 203.88	440	0.012 7
3阶SP-PCE	84.07	2.75e-3	15 133.32	293	0.011 9
4阶OLS-PCE	84.06	2.72e-3	90 662.89	1 430	0.007 9
4阶SP-PCE	84.06	2.70e-3	45 262.83	715	0.007 7
5阶OLS-PCE	84.08	2.75e-3	253 857.11	4 004	0.007 2
5阶SP-PCE	83.98	2.66e-3	100 972.74	1 601	0.007 4
MC	83.94	2.70e-3	651 235.04	10 000	—

Table 3

Fig.6

Fig.7

References 20

1	Campi T, Cruciani S, Maradei F, et al. Near-field reduction in a wireless power transfer system using LCC compensation[J]. IEEE Transactions on Electromagnetic Compatibility, 2017, 59(2): 686-694.
2	徐桂芝, 李晨曦, 赵军,等. 电动汽车无线充电电磁环境安全性研究[J]. 电工技术学报, 2017, 32(22): 152-157.
	Xu Gui-zhi, Li Chen-xi, Zhao Jun, et al. Electromagnetic enrironment safety study of wireless electric vehicle charging[J]. Transactions of China Electrotechnical Society, 2017, 32(22): 152-157.
3	Wake K, Laakso I, Hirata A, et al. Derivation of coupling factors for different wireless power transfer systems: inter-and intralaboratory comparison[J]. IEEE Transactions on Electromagnetic Compatibility, 2017, 59(2): 677-685.
4	沈栋, 杜贵平, 丘东元,等. 无线电能传输系统电磁兼容研究现况及发展趋势[J]. 电工技术学报, 2020, 35(13): 2855-2869.
	Shen Dong, Du Gui-ping, Qiu Dong-yuan, et al. Research Status and development trend of electromagnetic compatibility of wireless power transmission system[J]. Transactions of China Electrotechnical Society, 2020, 35(13): 2855-2869.
5	Budhia M, Boys J T, Covic G A, et al. Development of a single-sided flux magnetic coupler for electric vehicle IPT charging systems[J]. IEEE Transactions on Industrial Electronics, 2013, 60(1): 318-328.
6	Sample A P, Meyer D A, Smith J R. Analysis, experimental results, and range adaptation of magnetically coupled resonators for wireless power transfer[J]. IEEE Tansactions on Industrial Electronics, 2011, 58(2): 544-554.
7	Ha-Van N, Seo C. Modeling and experimental validation of a butterfly-shaped wireless power transfer in biomedical implants[J]. IEEE Access, 2019, 7: 107225-107233.
8	高大威,王硕,杨福源.电动汽车无线充电技术的研究进展[J]. 汽车安全与节能学报, 2015, 6(4): 314-327.
	Gao Da-wei, Wang Shuo, Yang Fu-yuan. State-of-art of the wireless charging technologies for electric vehicles[J]. Journal of Automotive Safety and Energy, 2015, 6(4): 314-327.
9	Bang K W, Park W S, Baek P S H,et al. Evaluation of electromagnetic exposure during 85 kHz wireless power transfer for electric vehicles[J]. IEEE Transactions on Magnetics, 2017, 54(1): No.5100208.
10	Shah I A, Cho Y, Yoo H. Safety evaluation of medical implants in the human body for a wireless power transfer system in an electric vehicle[J]. IEEE Transactions on Electromagnetic Compatibility, 2021, 63(3): 681-691.
11	Assawaworrarit S, Yu X, Fan S. Robust wireless power transfer using a nonlinear parity-time-symmetric circuit[J]. Nature Electronics, 2017, 546(7658): 387-390.
12	Larbi M, Trinchero R, Canavero F G, et al. Analysis of parameter variability in integrated devices by partial least squares regression[C]∥2020 IEEE 24th Workshop on Signal and Power Integrity, Cologne, Germany, 2020:1-4.
13	Deckmyn T, Rossi M, Ginste D V, et al. Stochastic modeling framework for wireless power transfer in the radiative near-field[C]∥2017 Wireless Power Transfer Conference,Taipei, China, 2017: No.7953833.
14	Luo Y, Yang Y, Zhang S, et al. Performance analysis and optimization of the MCR-WPT system with uncertain parameters[C]∥2020 IEEE Wireless Power Transfer Conference, Seoul, Korea (South), 2020: 154-158.
15	Lagouanelle P, Krauth V L, Pichon L. Uncertainty quantification in the assessment of human exposure near wireless power transfer systems in automotive applications[C]∥2019 International Conference of Electrical and Electronic Technologies for Automotive, Turin, Italy, 2019:No. 8804593.
16	于全毅,刘长英,吴定超,等. 基于广义混沌多项式法的多导体传输线辐射敏感度分析方法[J]. 电工技术学报, 2020, 35(17): 3591-3600.
	Yu Quan-yi, Liu Chang-ying, Wu Ding-chao, et al. Radiation sensitivity analysis of multiconductor transmission lines based on generalized polynomial chaos method[J]. Transactions of China Electrotechnical Society, 2020, 35(17): 3591-3600.
17	Lu C H, Wu Z Y. Uncertainty quantification of the 1-D SFR thermal stratification model via the latin hypercube sampling Monte Carlo method[J].Nuclear Technology,2022, 208(1): 37-48.
18	Diaz P, Doostan A, Hampton J. Sparse polynomial chaos expansions via compressed sensing and D-optimal design[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 336(1): 640-666.
19	Lüthen N, Marelli S, Sudret B. Sparse polynomial chaos expansions: literature survey and benchmark[J]. SIAM/ASA Journal on Uncertainty Quantification, 2020, 9(2): 593-649.
20	Dai W, Milenkovic O. Subspace pursuit for compressive sensing signal reconstruction[J]. IEEE Transactions on Information Theory, 2009, 55(5): 2230-2249.

Related Articles 15

[1]	Shou-tao LI,Lu YANG,Ru-yi QU,Peng-peng SUN,Ding-li YU. Slip rate control method based on model predictive control [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2687-2696.
[2]	Liang WU,Yi-fan GU,Biao XING,Fang-wu MA,Li-wei NI,Wei-wei JIA. Steering four-wheel distributed integrated control method based on LQR [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2414-2422.
[3]	Yu-hai WANG,Xiao-zhi LI,Xing-kun LI. Predictive energy saving algorithm for hybrid electric truck under high-speed condition [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(8): 2121-2129.
[4]	Sheng CHANG,Hong-fei LIU,Nai-wei ZOU. H_∞ loop shaping robust control of vehicle tracking on variable curvature curve [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(8): 2141-2148.
[5]	Jian-ze LIU,Jiang LIU,Min LI,Xin-jie ZHANG. Vehicle speed decoupling road identification method based on least squares [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(7): 1821-1830.
[6]	Xian-yi XIE,Ming-jun ZHANG,Li-sheng JIN,Bin ZHOU,Tao HU,Yu-fei BAI. Artificial bee colony trajectory planning algorithm for intelligent vehicles considering comfortable [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1570-1581.
[7]	Ling HUANG,Zuan CUI,Feng YOU,Pei-xin HONG,Hao-chuan ZHONG,Yi-xuan ZENG. Vehicle trajectory prediction model for multi-vehicle interaction scenario [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(5): 1188-1195.
[8]	Hong-yan GUO,Lian-bing WANG,Xu ZHAO,Qi-kun DAI. Joint estimation of vehicle mass and road slope considering lateral motion [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(5): 1175-1187.
[9]	Yu-kai LU,Shuai-ke YUAN,Shu-sheng XIONG,Shao-peng ZHU,Ning ZHANG. High precision detection system for automotive paint defects [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(5): 1205-1213.
[10]	Shao-hua WANG,Qi-rui ZHANG,De-hua SHI,Chun-fang YIN,Chun LI. Analysis of nonlinear vibration response characteristics of hybrid transmission system with dual-planetary gear sets [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 890-901.
[11]	Xue-jing DU,Ning WANG,Jie ZHANG,Yu-long PEI. Control strategy of lateral stability of semi-trailer train in dangerous section of cold area [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 996-1006.
[12]	Zhen-hai GAO,Rong-gui CAI,Tian-jun SUN,Tong YU,Hao-yuan ZHAO,Hao BAN. Data⁃filtering method for driving behavior based on vehicle shared autonomy [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 589-599.
[13]	Xian-yi XIE,Yu-han WANG,Li-sheng JIN,Xin ZHAO,Bai-cang GUO,Ya-ping LIAO,Bin ZHOU,Ke-qiang LI. Intelligent vehicle trajectory tracking control based on adjusting step size of control horizon [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 620-630.
[14]	Xiao-lin DENG,Fu-mo YANG,Shan-gan QIN. Comparative analysis on crashworthiness of a novel bamboo⁃like hexagonal gradient hierarchical multicellular tube [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(2): 333-345.
[15]	Yi-gang WANG,Yu-peng WANG,Hao ZHANG,Si-an ZHAO. Identification and analysis of aerodynamic noise sources in the bogie area of high⁃speed trains [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(2): 346-355.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	LI Shoutao, LI Yuanchun. Autonomous Mobile Robot Control Algorithm Based on Hierarchical Fuzzy Behaviors in Unknown Environments[J]. 吉林大学学报(工学版), 2005, 35(04): 391 -397 .
[2]	Liu Qing-min，Wang Long-shan，Chen Xiang-wei，Li Guo-fa. Ball nut detection by machine vision[J]. 吉林大学学报(工学版), 2006, 36(04): 534 -538 .
[3]	Li Hong-ying; Shi Wei-guang;Gan Shu-cai. Electromagnetic properties and microwave absorbing property of Z type hexaferrite Ba_3-xLa_xCo₂Fe₂₄O₄₁[J]. 吉林大学学报(工学版), 2006, 36(06): 856 -0860 .
[4]	Zhang Quan-fa，Li Ming-zhe，Sun Gang，Ge Xin . Comparison between flexible and rigid blank-holding in multi-point forming[J]. 吉林大学学报(工学版), 2007, 37(01): 25 -30 .
[5]	Yang Shu-kai, Song Chuan-xue, An Xiao-juan, Cai Zhang-lin . Analyzing effects of suspension bushing elasticity on vehicle yaw response character with virtual prototype method[J]. 吉林大学学报(工学版), 2007, 37(05): 994 -0999 .
[6]	. [J]. 吉林大学学报(工学版), 2007, 37(06): 1284 -1287 .
[7]	Che Xiang-jiu，Liu Da-you，Wang Zheng-xuan . Construction of joining surface with G¹ continuity for two NURBS surfaces[J]. 吉林大学学报(工学版), 2007, 37(04): 838 -841 .
[8]	Liu Han-bing, Jiao Yu-ling, Liang Chun-yu,Qin Wei-jun . Effect of shape function on computing precision in meshless methods[J]. 吉林大学学报(工学版), 2007, 37(03): 715 -0720 .
[9]	. [J]. 吉林大学学报(工学版), 2007, 37(04): 0 .
[10]	Li Yue-ying，Liu Yong-bing，Chen Hua . Surface hardening and tribological properties of a cam materials[J]. 吉林大学学报(工学版), 2007, 37(05): 1064 -1068 .

变量	分布类型	分布参数
d₀/m	均匀分布	（-0.05， 0.05）
z₀/m	均匀分布	（-0.15， 0.15）
x₀/m	均匀分布	（-0.15， 0.15）
s₀/m²	正态分布	（3e-6， 1e-7）
s₁/m²	正态分布	（3e-6， 1e-7）
C₁/nF	正态分布	（120， 4）
C₂/nF	正态分布	（130， 4.3）
R₁₁/Ω	正态分布	（0.2， 3.3e-3）
R₂₂/Ω	正态分布	（10， 0.17）

Uncertainty quantification of electric vehicle's wireless power transfer efficiency based on sparse polynomial chaos expansion method

RICH HTML

PDF (PC)