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Extended ordinary differential equation models for solar heating systems with pipes

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  • Kicsiny, R.
  • Nagy, J.
  • Szalóki, Cs.

Abstract

There is no doubt on the importance to investigate and develop solar heating systems. Mathematical modeling is the theoretically established tool for this purpose. In this study, improved, validated ordinary differential equation (ODE) models (an extended linear and a nonlinear ones) are proposed for a wide sort of solar heating systems with a solar collector, a heat exchanger, a storage and pipes. The pipes are considered as separated components in the model, so their thermal and delaying effects are taken into account. The advantages of the proposed ODE models, compared to other ODE, partial differential equation and delay differential equation (DDE) approaches are discussed. Based on the comparison of measured and simulated data of a real solar heating system, the validation and the efficiency of the proposed ODE models are demonstrated.

Suggested Citation

  • Kicsiny, R. & Nagy, J. & Szalóki, Cs., 2014. "Extended ordinary differential equation models for solar heating systems with pipes," Applied Energy, Elsevier, vol. 129(C), pages 166-176.
    • Handle: RePEc:eee:appene:v:129:y:2014:i:c:p:166-176
    DOI: 10.1016/j.apenergy.2014.04.108
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    References listed on IDEAS

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    Cited by:

    1. Araújo, António & Pereira, Vítor, 2017. "Solar thermal modeling for rapid estimation of auxiliary energy requirements in domestic hot water production: Proportional flow rate control," Energy, Elsevier, vol. 138(C), pages 668-681.
    2. Araújo, António & Silva, Rui, 2020. "Energy modeling of solar water heating systems with on-off control and thermally stratified storage using a fast computation algorithm," Renewable Energy, Elsevier, vol. 150(C), pages 891-906.
    3. Araújo, António & Pereira, Vítor, 2017. "Solar thermal modeling for rapid estimation of auxiliary energy requirements in domestic hot water production: On-off flow rate control," Energy, Elsevier, vol. 119(C), pages 637-651.
    4. Kicsiny, Richárd, 2015. "Transfer functions of solar heating systems for dynamic analysis and control design," Renewable Energy, Elsevier, vol. 77(C), pages 64-78.
    5. Ntsaluba, Sula & Zhu, Bing & Xia, Xiaohua, 2016. "Optimal flow control of a forced circulation solar water heating system with energy storage units and connecting pipes," Renewable Energy, Elsevier, vol. 89(C), pages 108-124.
    6. Duquette, Jean & Rowe, Andrew & Wild, Peter, 2016. "Thermal performance of a steady state physical pipe model for simulating district heating grids with variable flow," Applied Energy, Elsevier, vol. 178(C), pages 383-393.
    7. Vesipa, Riccardo & Ridolfi, Luca, 2019. "Overshoots in the water-level control of hydropower plants," Renewable Energy, Elsevier, vol. 131(C), pages 800-810.

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