A Modified Method for Mathematical Modeling of the Dynamics of Heat Treatment of a Material

A way for deriving the differential equations by the method of lumped parameters, which presents the plant in the form of series-connected elements, is discussed ; for each of these elements, the material and heat balances, which describe the dynamics of the thermal power plants, are written. It is proposed to transform the equations of dynamics with constant coefficients that describe the static and dynamic properties of the plant into modified equations with variables, which are determined by the magnitude and the direction of the deviation in the technological parameters.