Applicability of calculation methods for conduction transfer function of building constructions |
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| Authors: | Xiang Qian Li Youming Chen JD Spitler D Fisher |
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| Affiliation: | 1. College of Civil Engineering, Hunan University, Changsha, Hunan 410082, China;2. Key Laboratory of Building Safety and Energy Efficiency, MOE, China;3. School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078-5016, USA;1. Division of Engineering Technology, Oklahoma State University, Stillwater, OK 74078, USA;2. School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078, USA;1. Fraunhofer Institute for Solar Energy Systems ISE, Freiburg, Germany;2. University of Colorado, Boulder, CO, USA;1. Fluid Mechanics Department, School of Engineering, University of the Basque Country, UPV/EHU, Alameda de Urquijo s/n, 48013 Bilbao, Spain;2. Mechanical Engineering Department, School of Engineering, University of the Basque Country, UPV/EHU, Alameda de Urquijo s/n, 48013 Bilbao, Spain;1. Faculty of Science and Technology, Free University of Bozen-Bolzano, Italy;2. Department of Design and Planning in Complex Environment, University IUAV of Venice, Italy;3. Department of Civil, Environmental and Mechanical Engineering, University of Trento, Italy;1. College of Civil Engineering, Hunan University, Yuelushan, Changsha, Hunan 410082, PR China;2. Centre for Zero-Energy Building Studies, Department of Building, Civil and Environment Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec H3G 1M8, Canada;3. College of City Construction, University of South China, 28 Changsheng South Road, Hengyang 421001, PR China |
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| Abstract: | Conduction transfer function (CTF) is widely used to calculate conduction heat transfer in building cooling/heating loads and energy calculations. It can conveniently fit into any load and energy calculation techniques to perform conduction heat transfer calculations. There are three popular methods, direct root-finding (DRF) method, state-space (SS) method and frequency-domain regression (FDR) method to calculate CTF coefficients. The limitation of a methodology possibly results in imprecise or false CTF coefficients. This paper investigates the applicability of three methods as Fourier number and thermal structure factor are varied and in detail explains the sources that introduce error in the CTF solutions. The results show that the calculation error of SS and DRF methods becomes increasing as the reciprocal of the product of Fourier number and thermal structure factor becomes increasing. The maximal error even reaches almost 100%. However, the calculation error of FDR method always remains within 1% no matter how Fourier number and thermal structure factor are varied. Thus, FDR method is more robust and reliable than SS and DRF methods. And it is more practical to calculate CTF coefficients and may be a better choice to calculate the cooling/heating loads for building structures for the architect/designer. |
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