Localisation de défaillance par l'approche Bond Graph

This paper presents two analytical redundancy relation generation methods used for fault detection. These methods are then applied to bond graph models. The first method rests on the structural and the behavioural properties of the system. The basic idea is to collect all information the bond graph is able to give in order to construct a matrix which might be considered as a bipartite graph constituted of a set of relations between all the variables of the system, The analytical redundancy relations may be generated by dividing the system of relations into over, just and under-determined subsystems; a special handling of the over-determined subsystem leads to the result. The second method, which can be used to reach the same results but is limited to linear model, rests on the projection of all the relations on a vector space orthogonal to that generated by all the unknown variables.