Dynamic Models of Heat Exchangers Under Restrictions of Computational Resources

摘要

Mathematical models of technological processes allow to solve a wide range of problems related to the development of automatic control systems. This paper investigates the problem of constructing a dynamic model of heat transfer processes between heating medium flows. The main goal of the study is the creation of a parameterizable model that provides sufficient accuracy with low requirements for computing resources. The proposed model is based on the analytical solution of a one-dimensional hyperbolic equation, which provides a high speed of calculations. An increase in the accuracy of the model is ensured by taking into account the influence of the nonlinear formulation of the problem on the type of solution. The proposed approach makes it possible to implement models of heat exchangers that take into account the spatial distribution of the heat transfer process in the packages for modeling dynamic systems with lumped parameters. The paper presents the results of identification of a model of a heating boiler-utilizer. It is shown that the model error in transient is not more than 4°C, in steady-state mode - not more than 2 °C.