Approximate Models of Singularly Perturbed Time-Varying Systems: A Bond Graph Approach

Journal of control, automation and electrical systems

article

Barrera-Gallegos, Noe¹  Gonzalez-Avalos, Gilberto²  Ayala-Jaimes, Gerardo⁴  Padilla-Garcia, J. Aaron² 

[1] Technological Institute of Morelia;Faculty of Electrical Engineering, University of Michoacan;Graduate Studies Division of the Faculty of Mechanical Engineering, University of Michoacan;School of Sciences of Engineering and Technology, Autonomous University of Baja California

关键词: Bond graph;    Singular perturbations;    LTV systems;    Approximate models;   

DOI  :  10.1007/s40313-020-00568-x

学科分类：自动化工程

来源: Springer

【 摘 要 】

A bond graph model in an integral causality assignment (BGI) for a singularly perturbed linear time-varying (LTV) system is proposed. The LTV constitutive relations of the elements and MTF and MGY elements modulated by LTV functions of the BGI are considered. A new bond graph called singularly perturbed varying bond graph (SPVBG) for determining the quasi-steady-state model is presented. This SPVBG has the property that the storage elements for the slow and fast dynamics have an integral and derivative causality assignment, respectively. In order to apply the proposed methodology, a case study of an electromechanical system is modelled by bond graphs and approximated models are obtained. Finally, simulation results for the exact and approximated solutions are shown.

【 授权许可】

CC BY