A fast parameter matching method for hybrid energy storage system applied to electric vehicle is proposed, optimizing HESS parameters and corresponding energy management strategy simultaneously. In order to avoid computation burden/suboptimal problems when solving this optimization problem with dynamic programming(DP) method or evolutionary algorithms, convex optimization theory is applied to solve this problem. Firstly, nonlinear relationship of HESS model is approximated into linear relationship, then the objective function and constraints are converted to convex functions by introducing new variables; the original optimization problem is thus transformed into convex optimization problem, finally the problem is solved using Matlab/cvx toolbox. The same problem is solved using DP method and optimization results of both methods are compared:there are only 4% difference between optimization results, which means convex optimization ensures results to be global optimal; additionally, convex optimization shows favourable engineering application potential for its computation time never exceeds 100 s, which is far less than DP method. The optimization result shows that:battery pack life mileage is doubled by introducing an ultracpacitor pack with no more than 60 Wh, and convex optimization weights can be tuned to obtain desired HESS parameters rapidly.
SONG Chuanxue
,
ZHOU Fang
,
XIAO Feng
,
CHANG Cheng
,
SHAO Yulong
. Parameter Matching of On-board Hybrid Energy Storage System Based on Convex Optimization Method[J]. Journal of Mechanical Engineering, 2017
, 53(16)
: 44
-51
.
DOI: 10.3901/JME.2017.16.044
[1] KIM M J, PENG H. Power management and design optimization for fuel cell/battery hybrid vehicles[J]. Journal of Power Sources, 2007, 165(2):819-832.
[2] EBBESEN S,DONITZ C,GUZZELLA L. Particle swarm optimization for hybrid electric drive-train sizing[J]. International Journal of Vehicle Design, 2012, 58(2-4):181-199.
[3] 王庆年,王光平,王鹏宇,等. 基于成本优化的插电式混合动力参数匹配[J]. 吉林大学学报, 2016, 46(2):340-347. WANG Qingnian, WANG Guangping, WANG Pengyu, et al. Parameter matching for plug-in hybrid electric vehicle based on cost optimization[J]. Journal of Jilin University, 2016, 46(2):340-347.
[4] 李俊,赵子亮,刘明辉,等. 插电式双电机强混合动力轿车的参数匹配[J]. 吉林大学学报, 2011, 41(2):298-302. LI Jun, ZHAO Ziliang, LIU Minghui, et al. Parameter matching of plug-in twin motor hybrid car[J]. Journal of Jilin University, 2011, 41(2):298-302.
[5] 季新杰,李声晋,方宗德. 单轴并联式混合动力汽车动力系统参数匹配的研究[J]. 汽车工程, 2011, 33(3):188-193. JI Xinjie, LI Shengjin, FANG Zongde. A research on the parameters matching for the powertrain of single-axle parallel HEV[J]. Automotive Engineering, 2011, 33(3):188-193.
[6] SONG Z, LI J, HAN X, et al. Multi-objective optimization of a semi-active battery/supercapacitor energy storage system for electric vehicles[J]. Applied Energy, 2014, 135:212-224.
[7] 尹安东,赵韩,杨亚娟,等. 多目标遗传算法的混合动力传动系参数优化[J]. 中国机械工程,2013, 24(4):552-556. YIN Andong, ZHAO Han, YANG Yajuan, et al. Parametric optimization of hybrid powertrain based on multi-objective genetic algorithm[J]. China Mechanical Engineering, 2013, 24(4):552-556.
[8] 曹立波,欧阳志高,徐哲,等.可逆约束系统参数匹配优化研究[J]. 机械工程学报, 2016, 52(10):133-141. CAO Libo, OUYANG Zhigao, XU Zhe, et al. Research on the optimization of reversible restraint systems[J]. Journal of Mechanical Engineering, 2016, 52(10):133-141.
[9] SONG Z, HOFMANN H, LI J, et al. Optimization for a hybrid energy storage system in electric vehicles using dynamic programming approach[J]. Applied Energy, 2015, 139:151-162.
[10] 王喜明. 插电式混合动力城市客车动力系统匹配与控制优化研究[D]. 北京:北京理工大学, 2015. WANG Ximing. Optimization study on powertrain matching and system control for plug-in hybrid electric urban bus[D]. Beijing:Beijing Institute of Technology, 2015.
[11] ZHANG S, XIONG R, ZHUO X. Comparison of the topologies for a hybrid energy-storage system of electric vehicles via a novel optimization method[J]. Science China Technological Sciences, 2015, 58(7):1-13.
[12] HUNG Y H, WU C H. An integrated optimization approach for a hybrid energy storage system in electric vehicles[J]. Applied Energy, 2012, 98(1):479-490.
[13] SHEN J, DUSMEZ S, KHALIGH A. Optimization of sizing and battery cycle life in battery/ultracapacitor hybrid energy storage systems for electric vehicle applications[J]. IEEE Transactions on Industrial Informatics, 2014, 10(4):2112-2121.
[14] 张潇华. 插电式混合动力复合电源系统集成优化方法研究[D]. 北京:北京理工大学, 2015. ZHANG Xiaohua. Research on integrated optimization method of hybrid power system for plug-in hybrid electric vehicle[D]. Beijing:Beijing Institute of Technology, 2015.
[15] BOYD S, VANDENBERGHE L. Convex optimization[M]. Cambridge, U.K.:Cambridge Univ. Press, 2004.
[16] HU X, MURGOVSKI N, JOHANNESSON L M, et al. Optimal dimensioning and power management of a fuel cell/battery hybrid bus via convex programming[J]. IEEE/ASME Transactions on Mechatronics, 2015, 20(1):457-468.
[17] HU X, JOHANNESSON L M, MURGOVSKI N, et al. Longevity-conscious dimensioning and power management of the hybrid energy storage system in a fuel cell hybrid electric bus[J]. Applied Energy, 2015, 137:913-924.
[18] CVX Research Inc. CVX Users Guide[EB/OL].[2016-10-02]. http://web.cvxr.com/cvx/doc.
[19] TUTUNCU R H, TOH K C, TODD M J. Solving semidefinite-quadratic-linear programs using SDPT3[J]. Mathematical Programming, 2003, 95(2):189-217.
