Abstract

In order to describe the transient thermal behavior of an automotive cabin, we need to model the energy and mass exchanges between the cabin system and the environment as well as these exchanges inside the cabin system itself.

Given that the cabin model and its environment are intended to be integrated into a control loop, we have adopted a system level modelling (0D) based on the Bond Graph approach [Paytner 1961]. The simulator, thus built, results in a set of nonlinear Differential Algebraic Equations (DAE).

As part of this work, we will use the Discrete Empirical Interpolation Method (DEIM) [Chaturantabut 2010] to solve DAE only for a selection of explanatory variables. This is a way to build a Reduced Bond Graph by decreasing the number of solved differential equations.