综采工作面瓦斯数据时间序列预测方法研究

Research on time series prediction method of gas data on fully mechanized mining face

  • 摘要: 针对现有基于时间序列的瓦斯浓度预测方法存在算法复杂、预测步长较短等问题,根据瓦斯浓度历史监测数据的随机性与时序性,提出了一种基于ARIMA+GARCH组合模型的综采工作面瓦斯数据时间序列预测方法。首先建立ARIMA预测模型,对瓦斯浓度数据进行平稳化处理,并确定模型的参数估计;然后在预测模型的可靠性通过检验后,针对ARIMA模型在预测过程中存在的均值回归问题,采用GARCH模型模拟ARIMA产生的拟合残差,并将模拟出的结果作为ARIMA模型中预测的噪声项,以此优化预测结果。测试结果表明,基于ARIMA+GARCH组合模型的瓦斯浓度预测方法能够反映瓦斯浓度真实值的变化趋势,平均绝对误差、相对百分误差绝对值、标准差、均方误差4项判断指标都很小,具有较高的预测精度。

     

    Abstract: In view of problems of complex algorithm and short prediction step length of existing gas concentration prediction methods based on time series, a time series prediction method of gas data on fully mechanized mining face based on ARIMA+GARCH combination model was proposed according to randomness and timing of historical monitoring data of gas concentration. Firstly, an ARIMA prediction model is established, and then the gas concentration data is smoothed and the parameter estimation of the model is determined. After the reliability of the prediction model is passed the test, the GARCH model is used to simulate fitting residual error of ARIMA for the mean regression problem existed in the prediction process of ARIMA model. The simulated results are used as the noise term of prediction in ARIMA to optimize the prediction result. The test results show that the gas concentration prediction methods based on ARIMA+GARCH combined model can reflect the change trend of the true value of gas concentration, and the mean absolute deviation, mean absolute percent error, standard deviation error and mean squared error are all small, and has high prediction accuracy.

     

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