采煤机电缆光纤单元形状还原算法研究

Shape reconstruction algorithm of fiber optic unit in shearer cable

  • 摘要: 在传统采煤机电缆中嵌入光纤单元,利用光纤传感技术实时获取其曲率和形状信息,是采煤机电缆状态监测的优选方案。现有基于数学建模的光纤单元形状还原方法计算效率低,难以满足实时监测需求,而基于数据驱动的方法外推能力弱,难以适应井下复杂多变的动态工况。针对该问题,提出一种基于物理信息神经网络(PINN)预测的采煤机电缆光纤单元形状还原算法。在PINN模型中引入融合残差网络(ResNet)和SEAttention机制,构建ResNet−SEAttention−PINN模型,以预测光纤单元曲率分量;基于应变−曲率映射关系,采用平行运输框架求解光纤单元中心线曲线方程,以还原光纤单元形状。仿真结果表明,基于ResNet−SEAttention−PINN模型的光纤单元形状还原算法的平均绝对位置误差(Mean APE)和最大绝对位置误差(Max APE)分别为0.269 5,0.776 7 mm,均显著优于基于卷积神经网络、循环神经网络、PINN、ResNet−PINN、SEAttention−PINN等对比模型。采用半径可调的标定架及RP3000型动态分布式光纤应变测试系统进行物理实验,结果表明在实际工况下,该算法仍保持较高的还原精度,Mean APE为0.312 5 mm。

     

    Abstract: Embedding fiber optic units into traditional shearer cables and using fiber optic sensing technology to obtain curvature and shape information in real time is an optimal solution for the condition monitoring of shearer cables. Existing shape reconstruction methods of fiber optic units based on mathematical modeling have low computational efficiency and cannot meet the requirements of real-time monitoring, while data-driven methods have weak extrapolation capability and are difficult to adapt to complex and dynamic underground working conditions. To address this issue, a shape reconstruction algorithm of fiber optic unit in shearer cable based on Physics-Informed Neural Network (PINN) prediction was proposed. In the PINN model, a Residual Network (ResNet) integrated with an SEAttention mechanism was introduced to construct a ResNet-SEAttention-PINN model to predict the curvature components of the fiber optic unit. Based on the strain-curvature mapping relationship, the parallel transport frame was used to solve the centerline curve equation of the fiber optic unit to reconstruct its shape. Simulation results showed that the Mean Absolute Position Error (Mean APE) and the Maximum Absolute Position Error (Max APE) of the proposed algorithm based on the ResNet-SEAttention-PINN model were 0.269 5 and 0.776 7 mm, respectively, which were significantly better than those of comparison algorithms based on convolutional neural network, recurrent neural network, PINN, ResNet-PINN, and SEAttention-PINN models. A physical experiment was carried out using an adjustable-radius calibration frame and an RP3000 dynamic distributed fiber optic strain testing system, and the results showed that under practical working conditions, the algorithm still maintained high reconstruction accuracy, with a Mean APE of 0.312 5 mm.

     

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