Multi-objective optimization design for a battery pack of electric vehicle with surrogate models

In this investigation, a systematic surrogate-based optimization design framework for a battery pack is presented. An air-cooling battery pack equipped on electric vehicles is first designed. Finite element analysis (FEA) results of the baseline design show that global maximum stresses under x-axis and y-axis transient acceleration shock condition are both above the tensile limit of material. Selecting the panel and beam thickness of battery pack as design variables, with global maximum stress constraints in shock cases, a multi-objective optimization problem is implemented using metamodel technique and multi-objective particle-swarm-optimization (MOPSO) algorithm to simultaneously minimize the total mass and maximize the restrained basic frequency. It is found that 2nd order polynomial response surface (PRS), 3rd order PRS and radial basis function (RBF) are the most accurate and appropriate metamodels for restrained basic frequency, global maximum stresses under x-axis and y-axis shock conditions respectively. Results demonstrate that all the optimal solutions in Pareto Frontier have heavier weight and lower frequency compared with baseline design due to the restriction of global maximum stress response. Finally, two optimal schemes, “Knee Point” and “lightest weight”, satisfied both of the stress constraint conditions, show great consistency with FEA results and can be selected as alternative improved schemes.

[1]  R. L. Hardy.  Multiquadric equations of topography and other irregular surfaces , 1971 .

[2]  Yunkai Gao,et al.  Multi–disciplinary optimisation for front auto body based on multiple optimisation methods , 2011 .

[3]  Qing Li,et al.  Crashworthiness design for functionally graded foam-filled bumper beam , 2015, Adv. Eng. Softw..

[4]  Paolo Feraboli,et al.  Development of carbon/epoxy structural components for a high performance vehicle , 2004 .

[5]  Xiaohua Zeng,et al.  Multi-objective optimization of drive gears for power split device using surrogate models , 2014 .

[6]  Ping Zhu,et al.  Acoustic analysis of damping structure with response surface method , 2007 .

[7]  Thomas J. Santner,et al.  The Design and Analysis of Computer Experiments , 2003, Springer Series in Statistics.

[8]  Abdus Samad,et al.  Effectiveness of meta-models for multi-objective optimization of centrifugal impeller , 2014 .

[9]  Fabian Duddeck,et al.  Multidisciplinary optimization of car bodies , 2008 .

[10]  Yunkai Gao,et al.  Multiobjective reliability-based optimization for design of a vehicledoor , 2013 .

[11]  Kwon-Hee Lee,et al.  Metamodel-based optimization of a control arm considering strength and durability performance , 2010, Comput. Math. Appl..

[12]  Seulgi Yi,et al.  Numerical investigation for erratic behavior of Kriging surrogate model , 2014 .

[13]  T. Simpson,et al.  Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .

[14]  Fred J. Hickernell,et al.  A generalized discrepancy and quadrature error bound , 1998, Math. Comput..

[15]  Jeong‐Soo Park.  Optimal Latin-hypercube designs for computer experiments , 1994 .

[16]  Nong Zhang,et al.  Boundary condition handling approaches for the model reduction of a vehicle frame , 2016 .

[17]  P. Beardmore.  Composite structures for automobiles , 1986 .

[18]  Yuwen Zhang,et al.  Thermal management optimization of an air-cooled Li-ion battery module using pin-fin heat sinks for hybrid electric vehicles , 2015 .

[19]  Yunkai Gao,et al.  Fatigue optimization with combined ensembles of surrogate modeling for a truck cab , 2014 .

[20]  Weiguo Zhang,et al.  Main Factor Sensitivity Analysis Based on Response Surface Model Updating of Port Crane Structure , 2015 .

[21]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[22]  Jianguang Fang,et al.  Crashworthiness design of foam-filled bitubal structures with uncertainty , 2014 .

[23]  Lin Yi.  Topology optimization of power battery cabin in electric vehicle , 2009 .

[24]  Sonja Kuhnt,et al.  Design and analysis of computer experiments , 2010 .

[25]  M. E. Johnson,et al.  Minimax and maximin distance designs , 1990 .

[26]  Guangyao Li,et al.  Crashworthiness design of vehicle by using multiobjective robust optimization , 2011 .

[27]  Carlos A. Coello Coello,et al.  Handling multiple objectives with particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[28]  Ping Xu,et al.  Crash performance and multi-objective optimization of a gradual energy-absorbing structure for subway vehicles , 2016 .

[29]  Qiang Liu,et al.  Lightweight design of carbon twill weave fabric composite body structure for electric vehicle , 2013 .