Lyapounov理论在矿井通风系统稳定性分析中的应用

当矿井通风系统的特征参数发生变化时,矿井通风系统的风流状态也会发生变化,这些变化是否会影响矿井通风系统的稳定工作,对这个问题进行研究有利于确保安全生产.本文根据Lyapounov稳定性理论对矿井通风系统的稳定性进行分析,得到矿井通风系统在其正常的工作区段,系统特征参数发生一定的变化时,其状态是稳定的;当变化超过一定的界限后,系统变得不稳定,不利于系统正常功能的实现.

Application of lyapounov theories in mine ventilation system stability analysis

When some characteristics parameters of the mine ventilated system change, the flow state of mine ventilation system will change. whether these varieties will affect the function of the mine ventilated system or not, and whether it can still satisfy the need of work section as usual or not, the research on those problem have extremely important to insure the safety work. This paper analyzes the stability of the mine ventilated system based the Lyapounov stability theory. The result of analysis show that for a mine ventilation system working at natural work point, when the changes of the system characteristic parameter is limited, the state of mine ventilation system is stable; when the changes exceeds a certain boundary, the system become unsteady. It is disadvantage to realize the normal function of mine ventilation system.