Mathematical Modeling of Solar Heating Systems

  • О.А. Ефремова Altai State University (Barnaul, Russia)
  • Л.А. Хворова Altai State University (Barnaul, Russia)
Keywords: renewable energy sources, solar heating systems, solar intensity, solar radiation flux, model, mathematical modeling


The first part of the paper is concerned with the nature of the radiation emitted by the sun and permeated through the earth’s atmosphere. This includes the effects of the atmosphere on the solar radiation and geometric considerations, that is, its angle of incidence on various surfaces and the quantity of radiation received over various time spans. In the second part of the paper, the basic ideas and calculation procedures are considered. They are required to understand how solar processes work and how their performance can be predicted. Also, there are equations presented for a collector. They provide the useful output in terms of the available solar radiation and the losses, and energy balance of the water tank storage. Energy balance of the collector is the positive difference between absorbed solar energy and thermal losses. The model of the solar heating system is created with the AnyLogic Simulation Software. The output parameters of the model are: the rate at which useful energy is collected and water temperature in the tank at the end of the calculation period.

DOI 10.14258/izvasu(2017)4-17


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Author Biographies

О.А. Ефремова, Altai State University (Barnaul, Russia)
магистрант факультета математики и информационных технологий
Л.А. Хворова, Altai State University (Barnaul, Russia)
кандидат технических наук, доцент, заведующая кафедрой теоретической кибернетики и прикладной математики


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How to Cite
Ефремова, О., & Хворова, Л. (1). Mathematical Modeling of Solar Heating Systems. Izvestiya of Altai State University, (4(96).