Modelling in Bond Graph of Systems with Multi-Time-Scale

Gilberto Gonz√°lez-A and Victor Lopez Garza

Keywords

Bond graph, Singular perturbations, Quasi-steady state models

Abstract

A bond graph model of a three-time scale system is presented. The original system is decomposed into slow, fast 1 and fast 2 (faster than fast 1) sub-systems. Reduced models that determine the quasi-steady state model are obtained. By removing the fast dynamics assigning a derivative causality and maintaining an integral causality assignment, reduced models are obtained. This reduction is done in two parts: first removing the fast 2 dynamics and then fast 1 dynamics. Finally, the proposed methodology is applied to an example.

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