
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Bond Graph Based Modal Representations And Model Reduction Of
Lumped Parameter Systems 
Authors: 
Loucas
S. Louca 
Published in: 
(2006).ECMS
2006 Proceedings edited by: W. Borutzky, A. Orsoni, R. Zobel. European
Council for Modeling and Simulation. doi:10.7148/2006 ISBN:
0955301807 20^{th}
European Conference on Modelling and Simulation, Bonn,
May 2831, 2006 
Citation
format: 
Louca, L. S. (2006). Bond Graph Based
Modal Representations And Model Reduction Of Lumped Parameter Systems. ECMS
2006 Proceedings edited by: W. Borutzky, A. Orsoni, R. Zobel
(pp. 196203). European Council for Modeling and Simulation. doi:10.7148/20060196 
DOI: 
http://dx.doi.org/10.7148/20060196 
Abstract: 
Modal analysis
is extensively used to study dynamic behavior of continuous and lumped
parameter linear systems. More specifically, modal analysis can be used for the analysis and controller design of dynamic systems. In both cases,
reduction of model size without degrading the accuracy is often required for
the efficient use of the model. The reduction of modal models has been
extensively studied and many reduction techniques are available. The majority
of these techniques use frequency as the metric to determine the reduced
model. This paper describes a new method for calculating the modal power of
lumped parameter systems with the use of the bond graph representation, which
is developed through a power conserving modal decomposition. This method is
then used to reduce the size of the model. This technique is based on the
Model Order Reduction Algorithm (MORA), which uses an energybased metric to
generate a series of proper reduced models. An illustrative example is
provided to demonstrate the calculation of the modal power and the
elimination of unimportant modes or modal elements using MORA. 
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