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Study on key factors affecting the high-order building model order reduction for model predictive control application

引用

ENERGY AND BUILDINGS 2023年第1期296卷

作者： Chen, Qiong Li, Nan Wuhan Univ Technol Sch Civil Engn & Architecture Wuhan 430070 Peoples R China Chongqing Univ Natl Ctr Int Res Low carbon & Green Bldg Minist Sci & Technol Chongqing 400045 Peoples R China

The reduced-order model (ROM) can highly reduce computation costs while maintaining high high-fidelity performance for model predictive control's application by applying the model order reduction method. However, the physical meaning of the building thermal model order reduction at the theoretical level was not been fully explored in this numerical process, although the model order reduction process and the results were unquestionable at the mathematical level. The interpretability of the building low-dimensional model at the physical level is a necessary aspect to improve the reliability of the model. The unclear numerical relationships between the key influential factors of the building's thermal property and the ROM performance identified by accuracy and computation cost implied the potential risk of ROM mismatch under certain dynamic conditions. In this research, the comprehensive research on impacts of potential key variables including the outdoor and indoor thermal frequency, radiant heating system & all-air system, building envelopes' thermal property, discretization timesteps, and model outputs on ROM's performance were investigated through detailed parametric simulations. In practical engineering, the best-performing ROM can be selected based on the frequency and amplitude of thermal disturbance fluctuations to ensure the accuracy of the ROM while minimizing the computational cost. At least one order was required to identify the indoor heat load which meant that small indoor heat load cannot be neglected in the model order reduction process and larger heat loads required ROM with more orders in consideration of model accuracy. ROMs of all-air systems with less thermal inertia were more robust to the heating power changes than that of radiant heating systems with large thermal inertia and significant time lag. Building envelope materials with the same or approximate thermal properties can be simply characterized with fewer nodes. The greater the difference i

关键词： model order reduction Building thermal model High-fidelity model computation cost Balanced truncation method

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