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Thermal circuits assembling and state-space extraction for modelling heat transfer in buildings

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  • Ghiaus, Christian
  • Ahmad, Naveed

Abstract

State-space representation is essential in dynamical systems theory. This paper introduces a methodology for obtaining state-space representation from the thermal models of elementary components of a building by the conjunction of two methods: 1) assembling of thermal circuits and 2) state-space extraction from thermal circuit. These methods are fully illustrated on a very simple model and tested on a real house of about 100 m2 on which detailed measurements were achieved for 40 days at a time step of 10 min. The errors obtained between the measurements and the simulation results are in the order of ±1°C for a single zone and ±2°C for seven thermal zones. Besides simulation, parameter identification and control, the methods for assembling thermal circuits and extraction of state-space representation may be useful in Building Information Modelling (BIM).

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  • Ghiaus, Christian & Ahmad, Naveed, 2020. "Thermal circuits assembling and state-space extraction for modelling heat transfer in buildings," Energy, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:energy:v:195:y:2020:i:c:s0360544220301262
    DOI: 10.1016/j.energy.2020.117019
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    Cited by:

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    3. Mu, Yunfei & Xu, Yanze & Zhang, Jiarui & Wu, Zeqing & Jia, Hongjie & Jin, Xiaolong & Qi, Yan, 2023. "A data-driven rolling optimization control approach for building energy systems that integrate virtual energy storage systems," Applied Energy, Elsevier, vol. 346(C).
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    6. Naveed Ahmad & Christian Ghiaus & Moomal Qureshi, 2020. "Error Analysis of QUB Method in Non-Ideal Conditions during the Experiment," Energies, MDPI, vol. 13(13), pages 1-17, July.

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