The application of fractional-order models for thermal process modelling inside buildings

This article presents one of the applications of fractional-order models in modelling the dynamics of air temperature changes in residential spaces. The characteristics of these models include the order of the derivative which is a real number and, in more general cases, a complex number. These models are a further generalization of the traditional dynamic model but, thanks to the fact that derivatives are not real numbers, they can be used to model dynamics of much more complex physical phenomena. This article undertakes to identify the parameters of the fractional-order model which models the dynamics of air temperature changes inside buildings. Measurement data which were registered during experiment were used in the identification process.