Due to the low cost of coal and the fact that it is readily available in most parts of the world, coal is a convenient fuel source. Despite the inefficiency of the systems when it comes to converting heat energy into electricity, new technologies are necessary in order to improve their efficiency. In contrast to traditional methods of starting-up boilers and stabilizing combustion, plasma ignition and combustion stabilization (PICS) of pulverized coal flames offers an effective and sustainable alternative to the use of fuel oil or gas. This technology involves heating the air-coal mixture with electric arc plasma until the coal devolatilizes and the coke residue partially gasifies. Consequently, low-rank coal is converted into a highly reactive two-component fuel (HRTF) consisting of combustible gas and coke residue. For these processes in a plasma-coal burner (PCB) using Ekibastuz coal in the form of dust, a kinetic analysis was conducted using the PlasmaKinTherm program. Modeling the kinetics of PICS of pulverized fuel allowed changes in temperature, velocity, and concentration to be determined along the length of a PCB. The composition, degree of carbon gasification, and temperature of a stable coal-dust flame were determined using plasma ignition of solid fuel. Based on the comparison between experimental and calculated data, it was found that the results were satisfactory.