Zonal Thermal Room Original Model With Kron’s Method

作者: Rivo Randriatsiferana , Lala Rajaoarisoa , Samuel Ngoho , Wenceslas Rahajandraibe , Blaise Ravelo

DOI: 10.1109/ACCESS.2020.3024556

关键词:

摘要: An original thermal model of a single room structure is developed by using the tensorial network-based Kron’s method. The modelling principle equivalent RC-network wall, door and air constituting house. For better understanding, temperature propagation was assumed only in 1-D horizontal direction. problem geometrization defined function rectangular approximation meshing. After determination resistor capacitor, innovative circuit representing elaborated. methodology formalism, implicitly described with different action steps introduced. method implemented from branch to mesh spaces before expression metric. transfer functions (TTFs) at three cases indoor points, situated near, middle far are established feasibility TTF validated SPICE simulations both frequency time domains. cut-off frequencies verified very good correlation between simulation. excellent prediction transient responses unit-step arbitrary waveform signals minimal maximal amplitude about 20°C 40°C proposed.

参考文章(26)
Joseph Andrew Clarke, Energy Simulation in Building Design ,(1985)
Gabriel Kron, Tensor analysis of networks ,(1939)
Fayçal El Fgaier, Zoubeir Lafhaj, Franck Brachelet, Emmanuel Antczak, Christophe Chapiseau, Thermal performance of unfired clay bricks used in construction in the north of France: Case study Case Studies in Construction Materials. ,vol. 3, pp. 102- 111 ,(2015) , 10.1016/J.CSCM.2015.09.001
Kevin J. Kircher, K. Max Zhang, On the lumped capacitance approximation accuracy in RC network building models Energy and Buildings. ,vol. 108, pp. 454- 462 ,(2015) , 10.1016/J.ENBUILD.2015.09.053
Fakeha Sehar, Manisa Pipattanasomporn, Saifur Rahman, A peak-load reduction computing tool sensitive to commercial building environmental preferences Applied Energy. ,vol. 161, pp. 279- 289 ,(2016) , 10.1016/J.APENERGY.2015.10.009
Godfried Augenbroe, Trends in building simulation Building and Environment. ,vol. 37, pp. 891- 902 ,(2002) , 10.1016/S0360-1323(02)00041-0
F. Déqué, F. Ollivier, A. Poblador, Grey boxes used to represent buildings with a minimum number of geometric and thermal parameters Energy and Buildings. ,vol. 31, pp. 29- 35 ,(2000) , 10.1016/S0378-7788(98)00074-7
Moritz Lauster, Jens Teichmann, Marcus Fuchs, Rita Streblow, Dirk Mueller, Low order thermal network models for dynamic simulations of buildings on city district scale Building and Environment. ,vol. 73, pp. 223- 231 ,(2014) , 10.1016/J.BUILDENV.2013.12.016
Gilles Fraisse, Christelle Viardot, Olivier Lafabrie, Gilbert Achard, Development of a simplified and accurate building model based on electrical analogy Energy and Buildings. ,vol. 34, pp. 1017- 1031 ,(2002) , 10.1016/S0378-7788(02)00019-1