Construction and analysis of causally dynamic hybrid bond graphs

Margetts, Rebecca and Ngwompo, Roger F. and Fortes da Cruz, Marcelin (2013) Construction and analysis of causally dynamic hybrid bond graphs. Proceedings of the Institution of Mechanical Engineers Part I – Journal of Systems and Control Engineering, 227 (3). pp. 329-346. ISSN 0959-6518

Full content URL: http://pii.sagepub.com/content/227/3/329.long

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Abstract

Engineering systems are frequently abstracted to models with discontinuous behaviour (such as a switch or contact),
and a hybrid model is one which contains continuous and discontinuous behaviours. Bond graphs are an established
physical modelling method, but there are several methods for constructing switched or ‘hybrid’ bond graphs, developed
for either qualitative ‘structural’ analysis or efficient numerical simulation of engineering systems. This article proposes a
general hybrid bond graph suitable for both. The controlled junction is adopted as an intuitive way of modelling a discontinuity in the model structure. This element gives rise to ‘dynamic causality’ that is facilitated by a new bond graph notation. From this model, the junction structure and state equations are derived and compared to those obtained by
existing methods. The proposed model includes all possible modes of operation and can be represented by a single set
of equations. The controlled junctions manifest as Boolean variables in the matrices of coefficients. The method is more
compact and intuitive than existing methods and dispenses with the need to derive various modes of operation from a
given reference representation. Hence, a method has been developed, which can reach common usage and form a platform for further study.

Keywords:Physical system models, hybrid bond graphs, switched bond graphs, causality, junction structure, structural analysis, control
Subjects:H Engineering > H730 Mechatronics
G Mathematical and Computer Sciences > G150 Mathematical Modelling
H Engineering > H650 Systems Engineering
H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:9458
Deposited On:16 May 2013 12:00

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