Diagnostic bond graphs for online fault detection and isolation

Single fault isolation of a Hydrostatic Transmission System: Simulation and Experimentation

“…The mathematical constrain laws written in a symbolic format containing only the parameters and variables are called ARRs (Ould Bouamama et al, 2003;Samantaray et al, 2004;Ould Bouamama et al, 2005;Samantaray et al, 2006;Medjaher et al, 2006;Samantaray and Ould Bouamama, 2008;Ghoshal and Samanta, 2011 Bouamama et al, 2003;Samantaray et al, 2004;Ould Bouamama et al, 2005;Samantaray et al, 2006;Medjaher et al, 2006;Samantaray and Ould Bouamama, 2008;Ghoshal and Samanta, 2011), these ARRs are obtained algorithmically with an inversely causalled bond graph model. In their approach, to derive the ARR, all the storage elements are to be brought under preferred differential causality and negative of the measured quantities from the detectors are imposed on the system as pseudo source and reactive factor in the bond corresponding to the pseudo source is ARR when expressed in symbolic form.…”

“…Bond graph modeling (Karnopp et al, 2006;Mukherjee et al, 2006;Borutzky, 2010;and Borutzky, 2011), being a unified multi-energy domain modeling method, is especially suitable for developing analytical models of most engineering systems. Bond graph modeling has also been used in the past for different Fault Detection and Isolation (FDI) approaches (Ould Bouamama et al, 2003;Samantaray et al, 2004;Ould Bouamama et al, 2005;Samantaray et al, 2006;Medjaher et al, 2006;Samantaray and Ould Bouamama, 2008;Ghoshal and Samanta, 2011).…”

“…The subsequent part of this work involves model based quantitative robust single fault isolation. The methodology given in (Ould Bouamama et al, 2003;Samantaray et al, 2004;Ould Bouamama et al, 2005;Samantaray et al, 2006;Medjaher et al, 2006;Samantaray and Ould Bouamama, 2008;Ghoshal and Samanta, 2011) was followed for deriving ARRs from the bond graph model. For the present application the ARRs are basically state equations, which themselves satisfy constraint relationship under nominal condition.…”

Analytic Redundancy, Possible Conflicts, and TCG-based Fault Signature Diagnosis applied to Nonlinear Dynamic Systems

“…To solve these problems, [Samantaray et al, 2006] propose a method where sensor variables are represented as sub-graphs that are derived by inverting the causality associated with the sensor variable bond. For example, the measurement D e : P 1 may be imposed as the effort enforcer in Fig.…”

“…However, the comparison task can be complicated by the nature and form of the dynamic system models that form the basis for the model-based diagnosis algorithms. Therefore, to keep the scope of this paper manageable, we start with a common modeling framework,in our case, the bond graph modeling scheme [Karnopp, et al, 2000], and compare and contrast the ARR approach developed by [Samantaray et al, 2006] with possible conflicts [Pulido and Alonso, 2004], and temporal causal graph-based diagnosis methods [Mosterman and Biswas, 1999] for continuous nonlinear dynamic systems. In particular, the residual generation and evaluation algorithms used by the three methods are compared, and the similarities between the algorithms are established.…”