A continuous time dynamic model of temperature in air conditioned rooms.

The numerical evaluation of room air movement is made by systematic discretization of space and the dependent variables. This makes possible to replace the governing differential equations with simple algebraic equation. The dynamic model of the temperature is based on the energy balance equation, considering a given flow field. The temperature in a given control volume depends on the temperatures of its corresponding neighbours. This form of the model is. not appropriate for control theory. However, it is a linear Lime-invariant differential equation system with respect to time which can be represented as a set of first order differential equation. The model becomes a continuo -time discrete-space system. An important advantage of this form is that the numerical integration method becomes a free chaise. This system can be written in matrix or state-space form. The way in which this form can be achieved is presented in this paper.