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UDC 681.513.6 DOI: 10.14529/ctcr150208 Dynamic Model of Heating Devices and Heat Supply Systems V.I. Panferov, South Ural State University, Chelyabinsk, Russian Federation, tgsiv@mail.ruS.V. Panferov, South Ural State University, Chelyabinsk, Russian Federation, tgsiv@mail.ruAbstractIn order to develop previously performed work we consider the problem of constructing a dynamic mathematical model of heating devices and systems. The heating system at the same time seems to be equivalent heater. The output value of the model in this case is the power (heat capacity). Decision is executed by the "gray box", that is the structure of the model is determined by analyzing the physics of the processes occurring in heating devices and systems, and the numerical values of its parameters are found from the experimental data by parametric identification. The resulting differential equation is linear with respect to the unknown quantity-power heater(heating), input the same size-water inlet temperature of the heating system and the temperature of the indoor air are included in this equation in a linear fashion, and the flow is in non-linear manner. It is shown that a constant flow of coolant model can be represented by the transfer functions in the iso-mapping Laplace transfer function of the channel "coolant temperature at the inlet to the heater(heating system) – thermal capacity of the heater(heating)" is a inertia component of the first order, and the channel "indoor air temperature-heat capacity of the heater(heating)" - inertia-forcing component with a negative coefficient of transmission. The qualitative features of the model parameters, in particular, their dependence on the coolant flow are analyzed. Algorithmic block diagram of the control object, which includes the heating system and the thermal regime of the building itself is provided. The results of the parametric model identification from experimental data is described. The model can be used in the development of intelligent control systems heating buildings. Keywordsdynamic mathematical model, the thermal regime of buildings, heating devices and systems, structural synthesis, parametric identification, algorithmic block diagram of the control system References1. Skanavi A.N., Mahov L.M., Svarich V.Je. [Transient Thermal Processes in Heaters]. Proceedings of Higher Education Construction and Architecture, 1986, no. 4, pp. 86–88. (in Russ.) 2. Netushil A.V. Teoriya avtomaticheskogo regulirovaniya [The Theory of Automatic Control], Moscow, Higher School, 1976, 400 p. 3. Voronov A.A. Teoriya avtomaticheskogo upravleniya [Automatic Control Theory], Moscow, Higher School, 1977, 304 p. 4. Panferov V.I., Panferov S.V. [To the Theory of Control Modes for District Heating]. Bulletin of South Ural State University. Ser. Construction Engineering and Architecture, 2011, vol. 12, no. 16 (233), pp. 41–45. (in Russ.) 5. Panferov V.I., Panferov S.V. [Adaptive Identification of Parameters for Heating Systems in Buildings]. Bulletin of South Ural State University. Ser. Construction Engineering and Architecture, 2014, vol. 14, no. 2, pp. 33–37. (in Russ.) 6. Panferov V.I., Nagornaya A.N., Pashnina E.Ju. [Identification and Thermal Management of Buildings]. Bulletin of Ural State Technical University. Ser. Construction and Education, 2005, vol. 14, no. 14 (66), pp. 351–357. (in Russ.) 7. Panferov V.I., Anisimova E.Ju., Nagornaya A.N. [About the Optimal Thermal Control of Buildings]. Bulletin of South Ural State University. Ser. Power Engineering], 2007, vol. 8, no. 20 (92), pp. 3–9. (in Russ.) 8. Panferov V.I., Nagornaya A.N., Kungurtseva Ju.V. [Solution to the Problem of Dynamic Mathematical Model of Heating Appliances and Systems Development]. Bulletin of South Ural State University. Ser. Construction Engineering and Architecture, 2012, vol. 15, no. 38 (297), pp. 46–49. (in Russ.) SourceBulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2015, vol. 15, no. 2, pp. 75-82. (in Russ.) (Modeling and Computer Technologies) |