Sw. Wang et Ym. Chen, A novel and simple building load calculation model for building and systemdynamic simulation, APPL TH ENG, 21(6), 2001, pp. 683-702
Based on polynomial s-transfer functions of transient heat conduction throu
gh a building construction, a novel and simple model is developed for build
ing thermal load calculation. The polynomial s-transfer functions are estim
ated from the theoretical frequency responses of the building construction
by frequency-domain regression method. The simple polynomial s-transfer fun
ctions are completely equivalent to the hyperbolic s-transfer functions in
terms of frequency characteristics. First, the frequency responses of the t
otal transmission matrix are calculated within the frequency range concerne
d. Then, a set of linear equations is solved yielding a simple polynomial s
-transfer function for cross and internal heat conduction. Finally, simple
recursive formulae are obtained by inverse Laplace transforms and discretiz
ation of the convolution integrals. The coefficients of the model are indep
endent from time step and the time step can be varied according to the requ
irement during simulation. Validations and comparisons show that this model
has fast computation speed and no numerical unstability, and provides high
accuracy and good flexibility to the requirement of variable time step. (C
) 2001 Elsevier Science Ltd. All rights reserved.