IMAACA 2010 Proceeding

Automatic handling of commutations in bond graph based simulation of switched systems

Authors:   Matías Nacusse, Sergio Junco

Abstract

This paper proposes a Bond Graph based solution to the problems of modeling switched physical systems and automatically handling their commutations during the simulation process, featuring the following properties simultaneous representation of all the operation modes of the switching system in a unique switched Bond Graph, one-to-one correspondence between physical phenomena and model components, and integral-only causality assignment in the Bond Graph storages. To this aim, the Switched Power Junction formalism is used to manage the switching between the different modes, along with a residual-sink-like concept to avoid derivative causality when constraints among energy storages appear, and conservation principles of generalized momentum and charge to re-initialize the state variables when mode switching induces state discontinuities. The proposed solution is illustrated through modeling and simulation of a mechanical and an electromechanical example.

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