Using Fourier series to obtain cross periodic wall response factors

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

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Título Using Fourier series to obtain cross periodic wall response factors
Autor(es) Varela, Fernando
Theirs, Eduardo
González-Gaya, Cristina
Sánchez-Orgaz, Susana
Materia(s) Ingeniería Industrial
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
Identificador bibliuned:DptoIE-ETSI-Articulos-Fvarela-0001
http://e-spacio.uned.es/fez/view/bibliuned:DptoIE-ETSI-Articulos-Fvarela-0001
DOI - identifier 10.1080/19401493.2023.2283755
fecha fin de embargo 2024-11-22
ISSN - identifier 1940-1493, 1940-1507
Nombre de la revista Journal of Building Performance Simulation
Publicado en la Revista Journal of Building Performance Simulation
Idioma eng
Versión de la publicación acceptedVersion
Tipo de recurso Article
Derechos de acceso y licencia info:eu-repo/semantics/embargoedAccess
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Notas adicionales The registered version of this article, first published in Journal of Building Performance Simulation, is available online at the publisher's website: Taylor & Francis, https://doi.org/10.1080/19401493.2023.2283755
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Journal of Building Performance Simulation, está disponible en línea en el sitio web del editor: Taylor & Francis, https://doi.org/10.1080/19401493.2023.2283755

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Creado: Thu, 25 Jan 2024, 04:30:45 CET