“…By solving the equations of the system for the third stage using Newton's method [15], we find the relevant values of Lc3, T3 and n3. The solution of system ( 9), (12), and (13), which is obtained by the same method, gives us the air supply Ga, the required volume of mining working and the diameter of the air supply pipeline, according to the available capacity of secondary energy sources. Thus, a system of equations has been formed for determining the parameters of the secondary heat resource during three-stage air compression, as well as a system of equations for finding the air supply Ga, the required volume Va of the mining working and the diameter d of the pipeline in accordance with the available capacity of secondary energy sources.…”