矿井隧道环境中人体静电荷的积聚与释放主要依赖于人体的电容及电阻.根据电场系统解的唯一性原理,利用电介质材料的多重镜像方法,把隧道环境等价为人体的镜像人体丛林,模拟计算了该多导体系统的人体电容.研究了隧道环境人体电容与介质环境、人体身材、隧道形状、人体与隧道的相对位置等关系.计算结果表明,隧道环境中的人体电容值与人体的外形及隧道的形状密切相关,而与人体在隧道中的相对位置关系不大,表明隧道环境中人体电容值是有意义的.人体电容还随着煤层介电常数ε的不同而变化,在相对介电常数εr=7附近(干燥煤炭的相对介电常数εr=6.3)人体电容出现一峰值,该电容值是自由环境中的1.15倍,说明煤矿环境是静电安全的敏感环境.
The human-body capacitor is an important parameter in electrostatic discharging model(ESD).In the tunnel environment,multiple electric-mirror images of dielectric medium were employed,and the human-body capacitors of the system were calculated,based on the uniqueness of electric field solutions.The capacitors’ dependence on human-body,tunnel shape,the human-body position in relation to the tunnel,and dielectric constant,was also investigated.The calculations show that the human-body capacitor is very sensitive to the figure of the human-body and the shape of the tunnel,but not closely related to the human-body position in the tunnel.Furthermore,the human-body capacitor depends on the dielectric constant of the environment and the capacitor maximum peak which is 1.15 times than that in free space appears at εr=7(the dielectric constant of dry coal is εr=6.3),which reveals the importance of electrostatic safety in the tunnels of mines.