“Modelling the heat dynamics of a residential building unit: Application to Norwegian buildings”

Authors: D.W.U. Perera, Carlos F. Pfeiffer and Nils-Olav Skeie,
Affiliation: Telemark University College
Reference: 2014, Vol 35, No 1, pp. 43-57.

Keywords: Heating model, Heat recovery, Power consumption, Residential building unit, Ventilation

Abstract: The paper refers to the development of a continuous time mathematical heating model for a building unit based on the first principles. The model is described in terms of the state space variables, and a lumped parameter approach is used to represent the room air temperature and air density using mass and energy balances. The one-dimensional heat equation in cartesian coordinates and spherical coordinates is discretized in order to describe the thermic characteristics of the layers of the building framework and furniture respectively. The developed model is implemented in a MATLAB environment, and mainly a theoretical approach is used to validate it for a residential building unit. Model is also validated using experimental data for a limited period. Short term simulations are used to test the energy efficiency of the building unit with regard to factors such as the operation of heat sources, ventilation, occupancy patterns of people, weather conditions, features of the building structure and heat recovery. The results are consistent and are obtained considerably fast, implying that the model can be used further in modelling the heating dynamics of complex architectural designs and in control applications.

PDF PDF (633 Kb)        DOI: 10.4173/mic.2014.1.4

DOI forward links to this article:
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[4] Degurunnehalage Perera and Nils-Olav Skeie (2016), doi:10.3390/buildings6010010
[5] D.W.U. Perera, D. Winkler and N.-O. Skeie (2016), doi:10.1016/j.apenergy.2016.02.143
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[1] Regulation requirements for building (building technical regulations) tek10. (2010). 2010, .
[2] Andersen, K.K., Madsen, H., and Hansen., L.H. (2000). Modelling the heat dynamics of a building using stochastic differential equations, Energy and Buildings. 31:13--24. doi:10.1016/S0378-7788(98)00069-3
[3] Bergesen, B., Groth, L.H., Langseth, B., Magnussen, I.H., Spilde, D., and Toutain, J. E.W. (2013). Energy consumption 2012 - household energy consumption, Technical report, Norwegian Water Resources and Energy Directorate, 2013.
[4] Desta, T.Z., Brecht, A.V., Quanten, S., Buggenhout, S.V., Meyers, J., Baelmans, M., and Berckmans, D. (2005). Modelling and control of heat transfer phenomena inside a ventilated air space, Energy and Buildings. 37:777--786. doi:10.1016/j.enbuild.2004.10.006
[5] Frostrup, A. (1999). Tomrerteori Konstruksjoner i tre, Universitets Forlaget.
[6] Gendelis, S. and Jakovics, A. (2010). Numerical modelling of airflow and temperature distribution in a living room with different heat exchange conditions, Latvian journal of physics and technical sciences. 4:27--43. doi:10.2478/v10047-010-0016-z
[7] Harley, B. (2002). Insulate and weatherize your home : expert advice from start to finish, Taunton Press.
[8] Havenith, G., Holmer, I., and Parsons, K. (2002). Personal factors in thermal comfort assessment: clothing properties and metabolic heat production, Energy and Buildings. 34:581--591. doi:10.1016/S0378-7788(02)00008-7
[9] Kazanavicius, E., Mikuckas, A., Mikuckiene, I., and Ceponis, J. (2006). The heat balance model of residential house, Information technology and control. 35:391--396.
[10] Mendes, N., Oliveira, G. H.C., Araujo, H.X., and Coelho, L.S. (2003). A matlab based simulation tool for building thermal performance analysis, Building Simulation. pages 855--862.
[11] Olseth, J.A. and Skartveit, A. (1986). The solar radiation climate of norway, Solar Energy. 37:423--428. doi:10.1016/0038-092X(86)90033-2
[12] Wang, L. and Wong, N.H. (2009). Coupled simulations for naturally ventilated rooms between building simulation (bs) and computational fluid dynamics (cfd) for better prediction of indoor thermal environment, Building and Environment. 44:95--112. doi:10.1016/j.buildenv.2008.01.015

  title={{Modelling the heat dynamics of a residential building unit: Application to Norwegian buildings}},
  author={Perera, D.W.U. and Pfeiffer, Carlos F. and Skeie, Nils-Olav},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}