基于粗糙集与WLS的矿井通风网络解算方法优化研究

Research on mine ventilation network solving method based on rough set and WLS

  • 摘要: 矿井通风网络解算是煤矿“一通三防”工作的关键环节。针对矿井通风网络中存在的风量解算精度差和计算效率低等问题,提出了一种融合粗糙集属性约简与加权最小二乘法(WLS)的通风网络解算方法。该方法通过粗糙集属性约简识别通风网络中的关键参数,利用Prim优先队列算法构建最小生成树的余支集,并引入WLS-余支测定法对各分支权重进行迭代优化。研究结果表明:本文基于粗糙集与WSL的矿井通风网络解算中属性约简后得到关键属性为风量、阻力和断面,去除了通风网络中非关键属性风阻和风速,根据关键属性的权值和Prim优先队列算法得16条关键余支进行风量解算,在未引用WLS的情况下,风量计算偏差为0.2%~5.2%,引入WLS构建加权最小二乘残差矩阵进行优化后,其风量计算偏差控制在0.1%~2.0%。且随着通风网络规模的增大和数据量的增加,计算效率由原本时间数量级(10?∞,103)降低至(10?∞,102),具有良好的收敛性和鲁棒性,该方法在复杂通风网络条件下,仍能保持较高的稳定性。验证了属性约简与WLS的耦合优势,在实际应用中,提升了复杂通风网络的计算精度和解算效率,具有较强的适应性,为矿井通风的风量调节与安全管理提供了技术支持。

     

    Abstract: Mine ventilation network solving is a key link in the work of “one pass, three precautions” in coal mines. Aiming at the problems of large airflow deviation, poor solution accuracy and low computational efficiency in mine ven-tilation network, a ventilation network solution method integrating rough set attribute simplification and weighted least squares (WLS) is proposed. The method identifies the key parameters in the ventilation network by rough set attribute approximation algorithm, constructs the residual branch set of the minimum spanning tree by using Prim preferential queuing algorithm, and introduces the WLS-residual branch determination method for iterative optimization of the branch weights, which reduces the data error in the ventilation network solution. The results show that the method improves the calculation accuracy and solving efficiency of the airflow of complex ventilation network, and the deviation of airflow calculation is 0.1%~1.1%, which provides theoretical basis and technical support for the airflow regulation of mine ventilation system.

     

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