Abstract
A frequency-domain regression method is developed for transient heat flow calculation of multilayer constructions, which estimates a simple polynomial s-transfer function of transient heat conduction in a building construction on the basis of its theoretical frequency characteristics. This simple polynomial s-transfer function is completely equivalent to the hyperbolic s-transfer function in terms of frequency characteristics. First, the frequency characteristics of the total transmission matrix are calculated within the frequency range concerned. Then, a set of linear equations is solved to yield a simple polynomial s-transfer function for internal, cross and external heat conduction, respectively. Finally, the response factors or CTFs are obtained simply by applying inverse Laplace transforms or Z-transforms on the polynomial s-transfer function. The validations and comparisons show that this method has high accuracy and efficiency and has no stability problem.
Original language | English |
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Pages (from-to) | 45-61 |
Number of pages | 17 |
Journal | Building and Environment |
Volume | 38 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2003 |
Keywords
- Building model
- Conduction transfer function
- Frequency-domain regression method
- Heat transfer model
- Thermal response factors
ASJC Scopus subject areas
- Environmental Engineering
- Civil and Structural Engineering
- Geography, Planning and Development
- Building and Construction