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矿井通风系统是矿井安全生产的重要组成部分,为了解决因通风网络控制和设计不当而引起的瓦斯爆炸等问题,根据通风网络分支间流量和压力相互影响的动力学特性,利用电路Kirchhoff电流电压定律、图论原理和每一分支的流体动力学方程(微分方程),建立了矿井通风网络的多变量非线性全阶和降阶模型,其中分支的模型利用不可压缩的Navier-Stokes方程为集中参数逼近来建立,然后基于反馈线性化进行非线性控制器设计.建立的非线性模型反映了矿井通风流体运动的非线性本质,克服了流体运动的非稳定性.仿真结果表明,设计的控制器能使通风流量和压力可以快速地收敛于其参考值,风量控制准确率除了分支1为98.11%,其它均超过99%,实现矿井通风的精确控制.
Mine ventilation system is an important part of mine safety production. In order to solve the problems such as gas explosion caused by improper control of the ventilation network and design, according to the dynamic characteristics of interaction between flow and pressure in the branch of ventilation network, Kirchhoff current-voltage law , Principle of graph theory and hydrodynamic equation (differential equation) of each branch, a multivariable nonlinear full order and reduced order model of mine ventilation network is established, in which the branch model uses the incompressible Navier-Stokes equation as the concentration parameter The nonlinear controller is established based on the feedback linearization.The nonlinear model established reflects the nonlinear nature of the mine ventilation fluid and overcomes the instability of the fluid movement.The simulation results show that the design of the controller So that the ventilation flow and pressure can quickly converge to its reference value. The accuracy of air volume control is 98.11% for branch 1 and over 99% for others, which achieves precise control of mine ventilation.