矿井通风系统风量变化的可叠加性

Superposition Features of Air Flow's Changes in a Mine Ventilation System

对控制方程为线性的物理现象存在着线性叠加原理。保持其他因素不变,通风系统风量变化与风阻变化之间是一种复杂的非线性关系,因而不能直接应用线性叠加原理。然而,以泰勒公式的应用为基础,通过将非线性方程线性化,则通风系统风量变化与风阻变化之间存在一定程度的可叠加性,即当风阻变化较小时通风系统内某些分支风阻单独变化所产生的通风系统风量变化的叠加总近似等于这些分支风阻同时变化所产生的通风系统风量变化。这种可叠加性的误差随着风阻波动幅度的增加而增加。通风系统的可叠加性对于通风系统风量波动的估计和通风系统风量波动的原因识别都具有重要意义。然而,对于大型复杂通风网络,叠加误差随风阻改变分支数以及随风阻改变量的变化而变化的定量描述关系仍需进一步深入研究。

The linear superposition principle applies where the governing equations of a physical problem are linear. Keeping other factors unchanged, in a ventilation system, the change of the air flow has a non-linear relation with that of the air resistance, and thus the linear superposition principle does not apply directly. Based on the Taylor＇s expansion, however, the superposition feature can apply to some extent for the changes of the air flow and the air resistance in a ventilation system by the linearization of the non linear equations, which means that in a ventilation system the variations of the air resistance of different parts can approximately be added up to calculate the air flow variation when the changes of air resistances are relatively small. The error of such kind of superposition increases with the expanded range of air resistance^s variations. The superposition feature of a ventilation system is important for the evaluation and identification of the air flow＇s fluctuations. For a large and complex ventilation network, however, the application of the superposition method requires further studies.