Order Reduction of Multi-time Scale Systems Using Bond Graphs, the Reciprocal System and the Singular Perturbation Method

✍ Scribed by G. Dauphin-Tanguy; P. Borne; M. Lebrun

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 643 KB
• Volume: 319
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(85)90071-7

✦ Synopsis

The singular perturbation method applied to multi-time scale processes enables the reduction of dimensionality by considering only one part of the system-the slow or the fast part-depending on thefrequency domain of interest. Thefast and slow dynamics of bond graph models can be estimated by determination of causal loop-gains. We define here the notion of a reciprocal system which, with singular perturbation techniques, can obtain more accuracy on the fast time scale behaviour of the system.