This paper discusses the use of a building thermal analysis methodology in which the stochastic nature of the forcing functions is considered. This method provides a rational and convenient way of handling uncertainty in the analysis and design of the thermal system. A set of stochastic differential equations is used to model the thermal behaviour of the building. Randomness in the inputs as well as in the coefficients of the model are considered simultaneously. Randomness in this case is modelled as a Gaussian white noise, which provides the mean and standard deviation of the variables. The method is applied to a small-scale problem for verification purposes. The procedure is also applied to the study of thermal behaviour of a direct-gain solar room in which the internal and external forcing functions are considered to be random. © 1987.
Haghighat, F., Chandrashekar, M., & Unny, T. E. (1987). Thermal behaviour of buildings under random conditions. Applied Mathematical Modelling, 11(5), 349–356. https://doi.org/10.1016/0307-904X(87)90029-1