Data-driven safety prediction of battery pack under side pole collision
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摘要: 电动汽车电池包在侧面柱碰撞下极易失效并可能发生着火。为准确、快速地评估电池包在侧面柱碰撞下安全性,本文采用了区域细化的电池包模型,在不同的碰撞速度、碰撞角度、碰撞位置,车辆装载状态下开展仿真分析,采用了优化拉丁超立方采样策略设计了仿真矩阵,并通过图像识别的方法批量提取电池包碰撞响应生成数据集。对研究参数进行组合生成了新特征,并对参数进行相关性分析确定了模型训练的输入特征。采用了支持向量机(Support vector machine, SVM)、随机森林方法(random forest, RF)和误差反向传播神经网络机器学习(back propagation neural networks, BPNN)方法建立了数据驱动的预测模型。结果表明,支持向量机模型性能最优,模型预测参数的平均决定系数R2为0.96。为训练数据集引入标准差不同的高斯噪声,以对模型鲁棒性进行检验,BPNN的鲁棒性较优。建立的数据驱动模型能预测电池包侧面柱碰撞下的变形情况,评估电池包碰撞安全性。Abstract: The battery pack of electric vehicles is highly susceptible to failure under side pole collision. To accurately and quickly evaluate the safety of battery packs under such conditions, this paper introduces a local region refined battery pack model that can effectively characterize the deformation and mechanical response of the jellyroll of battery. Simulation analyses were conducted under varying impact velocity, angles, positions, and vehicle loading configuration, with the latter achieved by uniformly applying mass compensation to the side wall of the battery pack. A simulation matrix was designed using an optimized Latin hypercube sampling (LHS) strategy, and a dataset was generated through image recognition methods. This dataset includes parameters such as the maximum intrusion depth, intrusion location, intrusion width of the battery pack side wall, and the deformation of the jellyroll of battery. New features, including collision energy and velocity components in the x and y directions, were derived and selected as input features for model training through correlation analysis. Support vector machine (SVM), random forest (RF), and back propagation neural networks (BPNN) were employed to build a data-driven predictive model. The SVM model demonstrated superior performance, achieving an average R2 of 0.96 across prediction parameters. The prediction of the maximum intrusion depth of the battery pack side wall was particularly accurate, with an R2 exceeding 0.95 for all three models. Additionally, the robustness of the models was tested by introducing Gaussian noise, where the BP neural network exhibited better robustness. Even with the addition of Gaussian noise with a standard deviation of 0.5, the BP model maintained an average R2 of 0.91 for the prediction parameters. The established data-driven model can effectively predict mechanical response of battery packs under side pole collisions and provide a reliable tool for evaluating battery pack safety.
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Key words:
- battery pack /
- crash safety /
- side pole collision /
- machine learning /
- finite element simulation
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表 1 机器学习模型超参数组合
Table 1. Machine learning model hyperparameter selection
算法 超参数 取值 随机森林 随机森林中树的数量 100 树的最大深度 None 分割内部节点所需的最小样本数 2 叶子结点上所需的最小样本数 1 支持向量机 回归模型的惩罚程度 100 误差惩罚边界 0.5 核函数 ‘rbf’ BP神经网络 各隐藏层中的神经元数目 (50,50) 激活函数 ‘identity’ 表 2 机器学习模型预测效果
Table 2. Accuracy analysis of ML models
机器学习模型 预测参数 R2 MSE/mm2 RMSE/mm MAE/mm MAPE/% 随机森林 Xmax 0.9312 92.47 9.616 7.352 1.009 I1 0.9569 33.02 5.747 4.594 5.043 W 0.9440 589.6 24.28 17.63 4.312 I2 0.9540 3.954 1.989 1.338 130.5 支持向量机 Xmax 0.9640 48.38 6.955 5.195 0.7235 I1 0.9839 12.33 3.512 2.556 2.946 W 0.9373 659.8 25.69 18.73 4.656 I2 0.9636 3.127 1.768 1.416 306.4 BP神经网络 Xmax 0.9678 43.27 6.578 5.233 0.7151 I1 0.9694 23.46 4.843 3.826 4.110 W 0.9483 544.4 23.33 18.55 4.424 I2 0.8849 9.898 3.146 2.573 591.2 表 3 为所有训练集数据添加噪声(
$\sigma=0.5 $ )后各类机器学习模型预测效果Table 3. Accuracy analysis of ML models after adding Gaussian noise (
$\sigma=0.5 $ ) to all training data机器学习模型 预测参数 R2 MSE/mm2 RMSE/mm MAE/mm MAPE/% 随机森林 Xmax 0.9171 111.3973 10.5545 8.7621 1.2081 I1 0.8941 81.1519 9.0084 7.5526 8.5254 W 0.8498 1580.4298 39.7546 32.2293 7.5761 I2 0.9358 5.5154 2.3485 1.6952 179.2652 支持向量机 Xmax 0.9097 121.4039 11.0183 8.3659 1.1563 I1 0.9286 54.7504 7.3993 5.7387 6.2406 W 0.8989 1063.2993 32.6083 24.4519 5.935 I2 0.8638 11.7067 3.4215 2.8056 732.7073 BP神经网络 Xmax 0.9308 92.951 9.6411 7.9584 1.0837 I1 0.9415 44.8129 6.6942 5.524 6.1102 W 0.9084 964.28 31.0529 24.8844 5.8305 I2 0.8673 11.4063 3.3773 2.8312 575.6947 -
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