基于贝叶斯优化支持向量回归的煤自燃温度预测模型

Temperature prediction model for coal spontaneous combustion based on Bayesian optimization support vector regression

  • 摘要: 针对传统煤自燃温度预测模型未考虑指标气体与温度数据之间存在多重共线性、模型预测精度不足问题,提出了一种基于贝叶斯优化(BO)算法改进支持向量回归(SVR)超参数(BO−SVR)的煤自燃温度预测模型。利用煤自燃程序升温实验,对生成的指标气体数据进行收集与处理。利用Spearman相关性分析选择与煤温相关性较强的指标气体并分析指标气体生成量间的共线性;对选择的指标气体进行主成分分析,解决多重共线性问题的同时降低维数;采用5折交叉验证方法划分训练集和测试集,通过平均绝对误差(MAE)、均方根误差(RMSE)和判定系数(R2)指标,对BO−SVR模型的性能与SVR、粒子群优化SVR(PSO−SVR)和遗传算法优化SVR(GA−SVR)模型进行定量评价。结果表明,BO−SVR模型的MAE较其他3种模型分别降低了74.2%,36.7%和10.2%,RMSE分别降低了71.9%,33.3%和11.4%,R2达0.988 5,高于其他模型。选取山西煤炭进出口集团河曲旧县露天煤业有限公司的烟煤煤样开展平行试验,BO−SVR模型在新数据集上的MAE为4.927 9 ℃,RMSE为6.489 9 ℃,R2达0.985 3,与原数据集预测结果保持高度一致性。表明BO−SVR模型具有较好的泛化性、预测精度和鲁棒性,有助于提高预测煤自燃温度的准确性。

     

    Abstract: To address the issue that traditional coal spontaneous combustion temperature prediction models do not consider multicollinearity between indicator gases and temperature data and have insufficient prediction accuracy, a coal spontaneous combustion temperature prediction model using Support Vector Regression (SVR) with hyperparameters optimized by Bayesian Optimization (BO), abbreviated as BO-SVR, was proposed. A programmed heating experiment of coal spontaneous combustion was conducted to collect and process the generated indicator gas data. Spearman correlation analysis was used to select indicator gases with strong correlation to coal temperature and analyze the multicollinearity among the amounts of the generated indicator gases. Principal component analysis was performed on the selected indicator gases to resolve multicollinearity and reduce dimensionality simultaneously. Five-fold cross-validation was used to divide the training set and test set. The performance of the BO-SVR model was quantitatively evaluated in comparison with SVR, Particle Swarm Optimization SVR (PSO-SVR), and Genetic Algorithm-Optimized SVR (GA-SVR) models using Mean Absolute Error (MAE), Root Mean Square Error (RMSE), and Coefficient of Determination (R2). Results showed that the MAE of the BO-SVR model decreased by 74.2%, 36.7%, and 10.2% compared with the other three models, respectively; the RMSE decreased by 71.9%, 33.3%, and 11.4%, respectively; and the R2 reached 0.9885, which was higher than other models. Parallel experiments were conducted using bituminous coal samples from Shanxi Coal Import and Export Group Hequ Jiuxian Open-pit Coal Industry Co., Ltd. The results showed that the BO-SVR model had an MAE of 4.9279 ℃, an RMSE of 6.4899 ℃, and an R2 of 0.9853 on the new dataset, which was highly consistent with the prediction results of the original dataset. This indicates that the BO-SVR model has good generalization ability, prediction accuracy, and robustness, contributing to improving the accuracy of coal spontaneous combustion temperature prediction.

     

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