基于粗糙集与WLS的矿井通风网络解算方法优化研究

Optimization of mine ventilation network solution method based on rough set and WLS

  • 摘要: 现有矿井通风网络解算方法在解算过程中未考虑通风网络中的误差权重分布问题,导致网络各分支风量发生偏移,制约了解算结果的精确度。针对该问题,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。基于粗糙集理论,采用向前贪心约简算法构建等价类并计算依赖度,实现属性约简,得到与风量分布高度相关的关键属性为风量、阻力和断面面积;依据关键属性权值,采用Prim优先队列算法构建通风网络的最小生成树,进而得到余支边集合;引入WLS−余支测定法对各分支权重进行迭代优化,降低计算误差,提升预测精度。工程应用实例分析结果表明:引入粗糙集属性约简后,有效减少了网络解算耗时,提升了通风网络解算效率和精度;WLS−余支测定法将16条关键余支的风量计算偏差控制在0.1%~2.0%,具备更高的计算精度与稳定性。

     

    Abstract: Existing mine ventilation network solution methods do not consider the distribution of error weights in the ventilation network during the solution process, which leads to deviations in the airflow of each branch and limits the accuracy of the results. To address this issue, a ventilation network solution method integrating rough set attribute reduction and Weighted Least Squares (WLS) method was proposed. Based on rough set theory, a forward greedy algorithm was used to construct equivalence classes and calculate dependency degree, thereby achieving attribute reduction, and the key attributes highly correlated with the airflow distribution were identified as airflow, resistance, and cross-sectional area. According to the weights of the key attributes, Prim’s algorithm with a priority queue was employed to construct the minimum spanning tree of the ventilation network, and the co-tree branch set was further obtained. The WLS co-tree branch determination method was introduced to iteratively optimize the weights of each branch, reduce computational errors, and improve prediction accuracy. The results of engineering application analysis showed that, after introducing rough set attribute reduction, the solution time of the network was effectively reduced, and the efficiency and accuracy of ventilation network solution were improved. The WLS co-tree branch determination method controlled the airflow calculation deviations of 16 key co-tree branches within 0.1%–2.0%, demonstrating higher computational accuracy and stability.

     

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