One of the options for managing the heat supply system of buildings and structures using mathematical analysis methods

Purpose of research. In the proposed publication, two main factors are selected as the purpose of the study, which include a comprehensive analysis of the functioning of a dependent heat supply system for buildings and structures and the synthesis of a control scheme for the distribution of resources of the specified system by applying mathematical methods and creating appropriate algorithms for regulating heat flows.

Methods. Methods of mathematical analysis and differential equations of thermal balance were used to form the optimal strategy. This approach made it possible to carry out a detailed description of the non-stationary mode of operation of the dependent heating system of buildings and structures, taking into account the temperature dynamics of the thermal load and the environment. Along the way, a study of the theoretical results obtained was conducted. Transients were taken into account when putting the projected control scheme into operation. The theory of similarity was widely used to form the output working formula for the organization of heat supply. The obtained ratio made it possible to form algorithms for managing the provision of heat to buildings and structures. This approach made it possible to synthesize heat flow control schemes based on the principles of resource allocation according to the smart home operation option for practical use.

Results. In the course of the study, a working formula was obtained for the control of the heat supply process of buildings and structures. On its basis, appropriate functional schemes were synthesized, taking into account the dynamics of changes in temperature conditions in the thermal load and the external environment.

Conclusion. The results obtained make it possible to apply the principles of smart home management in practice. At the end of the study, the results of the work will be summarized, as well as the main conclusions and recommendations for managing the heat supply system using mathematical analysis methods will be formulated. Also, in conclusion, an assessment of the effectiveness of the proposed solutions and their impact on the economy and the environment can be given.

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