Abstract

A method for predicting long term performance of buildings is presented. The thermal performance of a building is sensitive to meteorological data which are stochastic in nature. A set of stochastic differential equations has been used to model the thermal behaviour of the building. The model can simultaneously consider randomness in the inputs and the coefficients of the model. Randomness in this case is modelled as a Gaussian white noise process. The moment equations are developed which provide the mean and variance of room air temperature and required heating or cooling load. Illustrative examples are presented.

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