Numerical Analysis and Application of Ventilation Network Stability Judgment Based on Lyapounov Theory
Stabilization of ventilation system is the precondition to ensure the safe and efficient production in coal mine. However the parameter which affects the stabilization of ventilation system is changed with production. After the air resistance of ventilation networks branch changes, the stabilization of ventilation system is likely to be destroyed and it is difficult to know how to return the stable system. In this paper, the mathematic model of stability analysis is established based on Lyapounov theory. Lyapounov function can be solved by sensitivity value which is gained by numerical computational; by the full differential coefficient under the status equation of ventilation system judgment can be made. For instable ventilation system, the rank of matrix is applied based on the existing air resistance change counteract-model. The counteract-model is simplified in most degree by analyzing the rank of sensitivity matrix of branch. It is worth to referring to control air flow for instable ventilation system.
mine ventilation system Lyapounov stability theory numerical analysis counteract-model
ZHU Hongqing GUO Aidong SONG Zeyang XU Yuanfeng MENG Jie
Resource and Safety Engineering Institute, Beijing State Key Laboratory of Coal Resources and Safety Mining,China University of Mining and Technology, Beijing 100083, China
国际会议
The 2010 International Symposium on Safety Science and Technology(2010 安全科学与技术国际会议)
杭州
英文
1704-1708
2010-10-26(万方平台首次上网日期,不代表论文的发表时间)