基于物理约束神经网络预测的光纤单元形状还原算法研究

Research on the Optical Fiber Unit Shape Restoration Algorithm Based on Physics-Constrained Neural Network Prediction

  • 摘要: 采煤机电缆在随采煤机往复移动过程中若发生故障,可能导致设备停机或造成安全隐患,利用光纤传感技术,在传统电缆中嵌入光纤单元以及时获取其曲率和形状信息,是采煤机电缆状态监测优选方案。本文提出一种基于物理约束神经网络(Physics-Informed Neural Network,PINN)的光纤单元形状还原算法。通过构建ResNet-SEAttention-PINN模型,预测光纤单元曲率分量κ1及κ2,并基于平行运输框架计算中心线曲线方程,以还原光纤单元形状,是保障采煤机电缆监测精度的关键环节。实验结果表明,光纤单元形状还原算法在曲率分量预测中精度较高,其均方误差MSE(Mean Squared Error)和平均绝对误差MAE(Mean Absolute Error)分别为1.061×10-8和8.715×10-5,决定系数R2为0.981。通过平行运输框架还原光纤单元形状,其平均绝对位置误差Mean APE(Mean Absolute Position Error)和最大绝对位置误差Max APE(Maximum Absolute Position Error)分别为0.2697 mm和0.7768 mm。研究成果可为实时监测电缆运行状态及煤矿智能化安全生产提供可靠技术支持。

     

    Abstract: If a fault occurs in the cable of the coal mining machine during its reciprocating movement, it may lead to equipment shutdown or safety hazards. Using optical fiber sensing technology, embedding fiber optic units in traditional cables can timely acquire their curvature and shape information, making it the preferred solution for monitoring the state of coal mining machine cables. This paper proposes a shape restoration algorithm for optical fiber units based on Physics-Informed Neural Networks (PINN). By constructing the ResNet-SEAttention-PINN model, we predict the curvature components κ1 and κ2 of the optical fiber units and calculate the centerline equation based on a parallel transport framework to restore the shape of the optical fiber units. This is a key process to ensure the accuracy of monitoring the state of coal mining machine cables. Experimental results show that the shape restoration algorithm for optical fiber units achieves high accuracy in predicting curvature components, with a Mean Squared Error (MSE) of 1.061×10-8 and a Mean Absolute Error (MAE) of 8.715×10-5, and a coefficient of determination (R2) of 0.981. The average absolute position error (Mean APE) and maximum absolute position error (Max APE) for restoring the shape of the optical fiber unit using the parallel transport framework are 0.2697 mm and 0.7768 mm, respectively. The research findings can provide reliable technical support for real-time monitoring of cable oper-ating status and intelligent safe production in coal mines.

     

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