Using Fourier series to obtain cross periodic wall response factors

Eduardo Theirs, Fernando Varela, González-Gaya, Cristina y Sánchez- Orgaz, Susana . (2023) Using Fourier series to obtain cross periodic wall response factors. Journal of Building Performance Simulation (2024) 17-3, p. 371-382

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Título Using Fourier series to obtain cross periodic wall response factors
Autor(es) Eduardo Theirs, Fernando Varela
González-Gaya, Cristina
Sánchez- Orgaz, Susana
Materia(s) Ingeniería Civil y de la Construcción
Abstract Wall periodic response factors are a very usual calculation method of transient heat transfer through building envelope elements (walls, roofs . . . ) in steady periodic conditions, used in popular heat load calculation procedures as ASHRAE’s RTS method [Spitler, Jeffrey D., Daniel E. Fisher, and Curtis O. Pedersen. 1997. “The Radiant Time Series Cooling Load Calculation Procedure.” ASHRAE Transactions 103 (2): 503–515]. This response factors, time sampled heat flux responses of a multi-layer wall to a 24h- periodic unit triangle function, can be obtained by means of multiple methods: Laplace’s method, state space method, frequency domain methods, etc. These methods are numerical since there is no analytical way of obtaining these response factors. The aim of this work is, taking advantage of the periodic nature of excitations, use Fourier series to represent boundary conditions, and this way find an easier and less computationally demanding procedure to calculate these response factors. Additionally, the convergence of these Fourier series will be analysed to determine the minimum set of frequencies needed to ensure a fixed admissible error for wall periodic response factors.
Palabras clave Heat Transfer in Buildings
Periodic Response Factors
Fourier Series
RTS Method
Editor(es) Taylor & Francis
Fecha 2023-11-22
Formato application/pdf
Identificador bibliuned:DptoICyF-ETSI-Articulos-Cgonzalez-0003
http://e-spacio.uned.es/fez/view/bibliuned:DptoICyF-ETSI-Articulos-Cgonzalez-0003
DOI - identifier https://doi.org/10.1080/19401493.2023.2283755
ISSN - identifier 1940-1493 eISSN 1940-1507
Nombre de la revista Journal of Building Performance Simulation
Número de Volumen 17
Número de Issue 3
Página inicial 371
Página final 382
Publicado en la Revista Journal of Building Performance Simulation (2024) 17-3, p. 371-382
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Journal of Building Performance Simulation (2024) 17-3, p. 371-382, está disponible en línea en el sitio web de la editorial: Taylor & Francis https://doi.org/10.1080/19401493.2023.2283755
Notas adicionales The registered version of this article, first published in Journal of Building Performance Simulation (2024) 17-3, p. 371-382, is available online at the publisher's website: Taylor & Francis https://doi.org/10.1080/19401493.2023.2283755

 
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Creado: Mon, 29 Apr 2024, 22:30:31 CET