矿井通风系统可靠性的马氏链分析

发布时间：2018-01-27 10:00

本文关键词： 可靠度矿井通风系统马尔可夫过程邻接矩阵法指数分布　出处：《煤炭技术》2015年10期 　论文类型：期刊论文

【摘要】：为保证井下正常通风,从可靠度的角度对矿井通风系统的稳定性进行分析。首先以通风系统的维修率作为实测对象,在概率统计理论和以往经验性规律的基础上,得出矿井通风系统的可靠度服从指数分布这一规律的结论。然后运用马尔可夫过程对通风系统的有效度进行分析,建立了通风系统的失效模型,运用此模型可预测通风系统的有效度、平均寿命和平均维修时间。并且针对目前普遍采用的遍历点法求解矿井通风系统可靠度问题中,存在耗时耗力、只适用于小型通风网路的弊端,提出了邻接矩阵法求解最小路集的不交最小路法,适用于手算简单通风系统的可靠性。最后以一个工程实例作为模型的算例,结果表明:矿井通风系统为可修复系统,可以用马尔可夫过程对其进行分析,求出通风网络的有效度、平均寿命和平均修复时间等可靠度指标。
[Abstract]:In order to ensure normal underground ventilation, the stability of mine ventilation system is analyzed from the angle of reliability. Firstly, the maintenance rate of ventilation system is taken as the measured object. Based on the theory of probability and statistics and the rule of experience in the past, the conclusion that the reliability of mine ventilation system is distributed exponentially is concluded, and then the validity of ventilation system is analyzed by Markov process. The failure model of ventilation system is established and the effectiveness of ventilation system can be predicted by using this model. In order to solve the reliability problem of mine ventilation system using traversal point method which is widely used at present, it is time-consuming and labor-consuming, so it is only suitable for small ventilation network. A disjoint minimum path method for solving the minimum path set by adjacent matrix method is proposed, which is suitable for the reliability of the manual simple ventilation system. Finally, an engineering example is taken as an example of the model. The results show that the mine ventilation system is a repairable system, which can be analyzed by Markov process, and the reliability indexes such as efficiency, average life and average repair time of ventilation network can be obtained.
【作者单位】：山东科技大学矿业与安全工程学院;
【基金】：国家自然科学基金项目资助(51274135;51428401;51034003)
【分类号】：TD724
【正文快照】： 0引言矿井通风系统是煤矿中重要的生产系统,其稳定性和可靠性直接关系到矿井的安全生产。因此,研究通风系统的可靠性和稳定性对矿井生产具有实际意义。在可靠度分析与矿井通风方面,以往的研究多采用遍历点法求解出最小路集和最小割集后,进行不交化。孟茁超等人研究了大型矿井

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