Fast and accurate district heating and cooling energy demand and load calculations using reduced-order modelling
| Autor: | Xi He, Kévyn Johannes, Jean-Jacques Roux, Eui-Jong Kim, Frédéric Kuznik |
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| Přispěvatelé: | Centre d'Energétique et de Thermique de Lyon (CETHIL), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), Department of Civil Engineering, Tongji University |
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
State-space representation Computer science Differential equation 020209 energy Mechanical Engineering 02 engineering and technology Building and Construction Management Monitoring Policy and Law Solver [SPI]Engineering Sciences [physics] General Energy 020401 chemical engineering Control theory 0202 electrical engineering electronic engineering information engineering 0204 chemical engineering Reduction (mathematics) Representation (mathematics) Reference model ComputingMilieux_MISCELLANEOUS Numerical stability |
| Zdroj: | Applied Energy Applied Energy, Elsevier, 2019, 238, pp.963-971. ⟨10.1016/j.apenergy.2019.01.183⟩ |
| ISSN: | 0306-2619 |
| Popis: | Recent developments in building energy models for urban energy simulation are primarily based on bottom-up modelling (N models used for N buildings). This work aims to develop a single assembled model for multiple buildings for convenient use in detailed urban analysis. The proposed model exhibits state-space model formalism, and a state-size reduction technique is applied to maintain model accuracy, even for a low-order representation. To accelerate the calculation time and ensure numerical stability, a direct solver is proposed to eliminate the iterative calculations required in Dymola for annual load calculations. The results of the proposed reduced model are in good agreement with the reference model. For a test case of ten buildings, a 2nd order reduced model (i.e., 2 differential equations) with the proposed direct solver can predict accurately the dynamic energy behaviour, resulting in an error of about 0.43% for the annual loads. |
| Databáze: | OpenAIRE |
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