Quasi-Steady-State Models of Three Timescale Systems: A Bond Graph Approach

Modelling in bond graph to obtain reduced models of systems with singular perturbations is applied. This singularly perturbed system is characterized by having three timescales, i.e., slow, medium, and fast dynamics. From a bond graph whose storage elements have an integral causality assignment (BGI...

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Published inMathematical problems in engineering Vol. 2019; no. 2019; pp. 1 - 20
Main Authors Padilla-Garcia, Aaron, Ayala-Jaimes, Gerardo, Barrera-Gallegos, Noe, Gonzalez-Avalos, Gilberto, Alvarado, David Z.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
Hindawi Limited
Subjects
Causality
Dynamics
Integrals
Mathematical models
Steady state models
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Summary:Modelling in bond graph to obtain reduced models of systems with singular perturbations is applied. This singularly perturbed system is characterized by having three timescales, i.e., slow, medium, and fast dynamics. From a bond graph whose storage elements have an integral causality assignment (BGI), the mathematical model of the complete system can be determined. By assigning a derivative causality assignment to the storage elements for the fast dynamics and maintaining an integral causality assignment for the slow and medium dynamics on the bond graph, reduced models for the slow and medium dynamics are obtained. When a derivative causality to the storage elements for the fast and medium dynamics is assigned and an integral causality assignment to the slow dynamics is applied, the most reduced model is determined. Finally, the proposed methodology to the Ward Leonard system is applied.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/9783740