Abstract
Building energy control strategies involve development of building energy models with appreciable accuracy. Several methods are available for model development and simulation. Present paper adopts resistance–capacitance network to develop a building energy model which is to be conditioned by a single-zonal heating, ventilation and air-conditioning (HVAC) system. A white box mathematical model is developed, based on the fundamentals of energy physics, in MATLAB/Simulink. Differential equations are formulated and modelled in state space form for a multi-layered building construction element. The element is configured as a three resistance and two capacitance model (pi-network) for a single-zonal room by considering the thermal resistance and thermal capacitance of the external walls, window glass, internal walls, ceiling and floor. Energy balance equations for each node of the 3R2C model are formulated as differential equations and solved when excited by step inputs. The input parameters for the developed model involve weather parameters of wind velocity, outdoor air temperature; thermos-physical properties of the building construction elements such as thermal resistance and thermal capacitance. The output parameter is the dry-bulb indoor air temperature for an input response of dry-bulb outdoor temperature and relative humidity. Developed modelling routine can act as benchmark for developing energy control strategies and their implementation.
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Appendix
Appendix
Building envelope | Parameters | Values |
|---|---|---|
External wall | External wall area (m2) | 60 |
Thermal resistance (m2 °C/W) | ||
Rw1 = Rw21 | 0.36 | |
Rw2 = Rw12 | 1.65 | |
Rw3 = Rw13 | 1.25 | |
Thermal capacitance (J/m2 °C) | ||
Cw1 = Cw21 | 24,010 | |
Cw2 = Cw22 | 105,070 | |
Window glass | Window glass area (m2) | 16 |
Thermal resistance (m2 °C/W) | ||
Rg1 = Rg2 | 0.1785 | |
Thermal capacitance (J/m2 °C) | 33,810 | |
Ceiling and floor | Ceiling area and floor area (m2) | 120 |
Thermal resistance (m2 °C/W) | ||
Rc1 = RF1 | 0.04 | |
Rc2 = RF2 | 0.11 | |
Rc3 = RF3 | 0.27 | |
Thermal capacitance (J/m2 °C) | ||
Cc1 = CF1 | 24,010 | |
Cc2 = CF2 | 278,910 | |
Partition wall | Partition wall area (m2) | 40 |
Thermal resistance (m2 °C/W) | ||
RP1 = RP21 | 0.36 | |
RP2 = RP22 | 1.65 | |
RP3 = RP23 | 1.25 | |
Thermal capacitance (J/m2 °C) | ||
CP1 = CP21 | 24,010 | |
CP2 = CP22 | 105,070 | |
Other parameters | Volume of room (m3) | 500 |
Density of indoor air kg (m−3) | 1184 | |
Specific heat capacity of air (J/(kg °C)) | 1 |
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Singh, N.K., Harish, V.S.K.V. (2022). Single Zonal Building Energy Modelling and Simulation. In: Sahni, M., Merigó, J.M., Sahni, R., Verma, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1405. Springer, Singapore. https://doi.org/10.1007/978-981-16-5952-2_43
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DOI: https://doi.org/10.1007/978-981-16-5952-2_43
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