By Wolfgang Borutzky
This publication provides bond graph model-based fault detection with a spotlight on hybrid approach types. The e-book addresses version layout, simulation, regulate and model-based fault analysis of multidisciplinary engineering structures. The textual content beings with a short survey of the cutting-edge, then makes a speciality of hybrid platforms. the writer then makes use of diversified bond graph methods in the course of the textual content and offers case studies.
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This ebook provides bond graph model-based fault detection with a spotlight on hybrid procedure versions. The publication addresses version layout, simulation, keep an eye on and model-based fault prognosis of multidisciplinary engineering platforms. The textual content beings with a short survey of the state of the art, then makes a speciality of hybrid platforms.
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Additional info for Bond Graph Model-based Fault Diagnosis of Hybrid Systems
Kofman has shown that the problem can be overcome by introducing hysteresis in the relationship between a state variable x and its quantised variable q . However, the method is only first-order accurate. A quantisation for which the hysteresis value equals the quantum value produces a piecewise constant output trajectory that only changes when the difference between input and output exceeds the quantum. As a result, the state variables have a piecewise linear trajectory. To improve accuracy, 46 Fig.
The switches are considered non-ideal and are represented by a model Sw containing a switched MTF: m(t) in conjunction with an ON resistor in fixed conduction causality. The two storage elements are in integral causality in all four system modes. The bond graph in Fig. 18 contains three causal paths between resistors and switches. 21) ⎥ ⎦ u B2 where Ro denotes the ON resistance of the switches. 4 Index of a DAE System Derived from the Bond Graph of a Hybrid Model 41 L Q1 E D1 C R V Fig. 19 Circuit schematic of a DC-DC buck converter Sw : m1 R 10 2 E : Se 1 1 3 0 6 1 1 0 11 De : y 9 7 4 8 I :L C :C 5 Sw : m2 Fig.
Both methods are based on the symbolic differentiation of some of the constraint equations of a DAE system and thus introduce equations with higher order derivatives of unknown variables with respect to time. This differentiation entails a problem in its own to find a set of consistent initial values. The Pantelides algorithm aiming at the determination of a set of consistent initial conditions can and is used to determine which equations are to be differentiated how many times in order to reduce the index to one or zero.