Method for determining of the ventilation object transfer function according to normal operation (by the example of mining and processing complex)

The article deals with the analytic description of all types of transient gas dynamic processes used at mining sites which allowed us to obtain a generalized expression for the transfer functions of ventilation facilities subject to delay and describe the dynamic properties of the mine sites during different ventilation modes. It was established experimentally that the linear zed dynamic characteristics of mining sites in the ventilation mode, when transition of the gas-dynamic process has the form of a methane concentration “burst”, can be described by ordinary differential equations with constant coefficients of the 3-4
^th
order in the ventilation mode, while in case of the “increase” in the methane concentration at the site is absent - equations of 1-2
^nd
orders. Because of the impropriety of the airing objects dynamic characteristics determining by solving the Wiener-Hopf integral equation, the authors developed a well-posed method for determining of the aerogasdynamics dynamic characteristics by additive processes that use the correlation function of the input I output processes. The method allows obtaining mathematical description of the mining unit as a control object according to normal operation. The experimental data on the considered methods showed that the ventilation object is a link with an inverted effect, and its dynamic properties in the normal mode can be described by the second order differential equations taking into account the delay, and the first order equations if such delay is neglected.