Mathematical model of system dynamics for heat utilization from ventilation emissions with intermediate heat carrier as an object of automation

Abstract

Annotation Purpose. Formulation of a mathematical description of the non-stationary thermal regime of the heat utilization system of ventilation emissions on the basis of a heat exchanger with an intermediate heat carrier for industrial premises. Methods. The specificity of the object under study determines the analytical method of research, which is based on the analysis of the thermal balance of the elements of the studied system and the heat and energy connections between them. Results. A mathematical description of the dynamics of the thermal process in a recuperative heat recovery unit with an intermediate heat carrier is formulated taking into account the variable parameters of ventilation air, both exhaust and supply air and the presence of condensation on the surface of the heat exchanger. Given the possibility of automatic control of the operation of the disposal system by changing the flow of intermediate coolant (which makes the system of equations nonlinear), a linearized mathematical model of the dynamics of the studied system is proposed. Conclusions 1. The obtained mathematical models allow to determine the dynamic characteristics of the system of waste heat utilization in transient modes, as well as to evaluate the efficiency of the system itself and to optimize the parameters of heat exchangers. 2. The linearized model of the thermal utilizer allows to synthesize the system of automatic control of the operating mode and to investigate its parameters. Keywords: waste heat utilization, heat exchanger recuperator, intermediate heat carrier, dynamic mode, mathematical model, production room.