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稳定的矿井通风系统是实现矿井安全高效生产的前提,但是随着采掘工作面的推进,通风网络结构的变化,巷道的冒顶变形等,通风系统的稳定性也随之变化。基于矿井通风系统稳定性的重要性、非线性和时变性,运用Lyapounov(李雅普诺夫)稳定性理论和灵敏度,提出了定量分析判定矿井通风系统稳定性的方法。方法以Lyapounov稳定性分析数学模型和Lyapounov函数为基础,运用通风网络数值计算得出灵敏度值求解Lyapounov函数,根据Lyapounov函数正负性定量判定矿井通风系统的稳定情况,最后结合实际的算例来验证稳定性定量判定方法。算例验证和研究结果表明,这种方法解算出的Lyapounov函数的正负值衡量了通风系统的稳定情况。
Stable mine ventilation system is the prerequisite for safe and efficient mine production. However, the stability of the ventilation system will change with the advancement of mining face, the change of the ventilation network structure and the roof collapse of the roadway. Based on the importance, nonlinearity and time-varying of the stability of mine ventilation system, a method of quantitatively analyzing the stability of mine ventilation system is proposed by using Lyapounov stability theory and sensitivity. Based on the Lyapunov stability analysis mathematical model and Lyapounov function, the Lyapounov function was solved by using the numerical value of the ventilation network. The stability of the mine ventilation system was quantitatively determined according to the positive and negative Lyapunov functions. Finally, the practical example was used to verify Method for quantitatively determining the stability. The example validation and the research results show that the positive and negative values of the Lyapounov function solved by this method measure the stability of the ventilation system.