Shopping mall mathematical modelling as an object with distributed parameters

Abstract

Shopping mall is an energy-intensive object with distributed parameters. The number of people in building, high energy prices, buildings operation standards, premises types set the requirements for the microclimate creation and maintenance. Studies show that from 30 to 40 percent of the energy resources total amount is spent for administrative buildings heat losses compensation. And an additional 20 percent energy is used to ensure comfortable temperature and humidity conditions of the shopping mall. At the same time, it is possible to overspend energy resources and, as a result, not to provide desired comfortable conditions. Literature review showed that energy resources economy of objects with distributed parameters is impossible without energy-efficient solutions implementation. The article is devoted to the construction and research of the shopping mall mathematical model. For its creation, the parameters one of the Kharkiv city building have been established. Due to the complexity of the control object, to divide it into a given number of objects with lumped parameters is suggested. Premises, the purpose of which are supermarkets with products, were selected as objects with lumped parameters. A model of a separate premise, that considers the influence of heaters, the number of people, heat flows through the walls and ceiling was created. To obtain the transfer function of the control object, the heat balance equation was used. It made possible to consider heat output and all heat input sources. The object of research is non-stationary temperature fields of a distributed object. Transient characteristics of the developed model were obtained. The resulting model does not allow setting and maintaining the parameters of different temperature zones inside the premises. Therefore, in further studies, it is necessary to expand the obtained model by considering thermal conductivity level and boundary conditions.

Keywords

• shopping mall
• mathematical model
• object with distributed parameters
• object with lumped parameters