An element-oriented model simplification algorithm based on dynamic similarity

Y. H. Hung, C. H. Wu, C. W. Hong*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper presents an element-oriented model simplification algorithm (EO-MSA) in multi-physical domains. It aims to generate a simplified model to release computational loading while maintaining model fidelity. The dynamics of the multi-physical system can be constructed based on a unified bond graph approach. This EO-MSA approach eliminates those bond graph elements which influence the system behaviour insignificantly in the mathematical model. This study proposes two newly-defined indices, dynamic similarity (DS), and model similarity index (MSI), to evaluate the similarity of candidates which are order reduced. Ten error-dynamics modules are mathematically constructed and structurally classified for both the DS and the MSI. The reduced model with minimum MSI can be determined using this approach. Quarter-car simulation results demonstrate that this EO-MSA approach is capable of reducing system complexity while maintaining fidelity with satisfactory tolerance.

Original languageEnglish
Pages (from-to)56-69
Number of pages14
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Issue number1
Publication statusPublished - 2012 Feb


  • Bond graph
  • Model order reduction
  • Model simplification
  • System dynamics

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering


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