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New Deterministic Mathematical Model for Estimating the Useful Energy Output of a Medium-Sized Solar Domestic Hot Water System

Author

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  • Miroslaw Zukowski

    (Department of HVAC Engineering, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, Wiejska 45E Street, 15-351 Bialystok, Poland)

  • Walery Jezierski

    (Department of Energy Efficient Construction and Geodesy, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, Wiejska 45E Street, 15-351 Bialystok, Poland)

Abstract

According to the authors of this paper, the mathematical point of view allows us to see what sometimes cannot be seen from the designer’s point of view. The aim of this study was to estimate the influence of the most important parameters (volume of heat storage tanks, daily consumption of domestic hot water, optical efficiency, heat loss coefficient, and total area of a solar collector) on the thermal power output of solar domestic hot water (SDHW) system in European climatic conditions. Three deterministic mathematical models of these relationships for Madrid, Budapest, and Helsinki were created. The database for the development of these models was carried out using computer simulations made in the TRNSYS software environment. The SDHW system located at the Bialystok University of Technology (Poland) was the source of the measurement results used to validate the simulation model. The mathematical optimization procedure showed that the maximum annual useful energy output that can be obtained from 1 m 2 of gross collector area is 1303 kWh in the case of Madrid, 918.5 kWh for Budapest, and 768 kWh for Helsinki weather conditions.

Suggested Citation

  • Miroslaw Zukowski & Walery Jezierski, 2021. "New Deterministic Mathematical Model for Estimating the Useful Energy Output of a Medium-Sized Solar Domestic Hot Water System," Energies, MDPI, vol. 14(10), pages 1-18, May.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:10:p:2753-:d:552377
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    References listed on IDEAS

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    1. Fuentes, E. & Arce, L. & Salom, J., 2018. "A review of domestic hot water consumption profiles for application in systems and buildings energy performance analysis," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 1530-1547.
    2. Lima, Juliana Benoni Arruda & Prado, Racine T.A. & Montoro Taborianski, Vanessa, 2006. "Optimization of tank and flat-plate collector of solar water heating system for single-family households to assure economic efficiency through the TRNSYS program," Renewable Energy, Elsevier, vol. 31(10), pages 1581-1595.
    3. Miroslaw Zukowski & Paulina Radzajewska, 2019. "A New Method to Determine the Annual Energy Output of Liquid-Based Solar Collectors," Energies, MDPI, vol. 12(23), pages 1-12, December.
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    Cited by:

    1. Krzysztof Rajski & Jan Danielewicz, 2023. "Heat Transfer and Heat Recovery Systems," Energies, MDPI, vol. 16(7), pages 1-6, April.
    2. Łukasz Amanowicz, 2021. "Peak Power of Heat Source for Domestic Hot Water Preparation (DHW) for Residential Estate in Poland as a Representative Case Study for the Climate of Central Europe," Energies, MDPI, vol. 14(23), pages 1-15, December.

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