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Energy-Based Bond Graph Model Reduction

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Bond Graph Modelling of Engineering Systems

Abstract

Model reduction refers to reducing the complexity of a given model to achieve a balance between model simplicity and accuracy. This chapter presents a set of model reduction techniques that are particularly amenable to bond graph models due to the common energy-based nature of these techniques and the bond graph language. Three techniques are presented that are developed with model order reduction, model partitioning, and simultaneous order and structure reduction in mind. Each technique utilizes a different energy-based metric that can be easily calculated from a bond graph model. These underlying metrics are presented first, followed by the algorithms, each with a simple illustrative example, as well as summaries of larger case studies performed with those algorithms to highlight their benefits. All three techniques are applicable to nonlinear models in differential–algebraic form, are realization preserving in the sense that the original meanings of the states and parameters are preserved, are trajectory dependent and thus explicitly take the specific inputs and parameter values into account, and can reduce models directly at the bond graph level.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, University of Cyprus, Nicosia, 1678, Cyprus

    L.S. Louca

  2. Faculty of Engineering and Applied Science, Memorial University, St. John’s, NL, Canada

    D.G. Rideout

  3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA

    T. Ersal & J.L. Stein

Authors
  1. L.S. Louca
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  2. D.G. Rideout
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  3. T. Ersal
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  4. J.L. Stein
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Corresponding author

Correspondence to L.S. Louca .

Editor information

Editors and Affiliations

  1. of Applied Sciences, Bonn-Rhein-Sieg University, Sankt Augustin, 53754, Germany

    Wolfgang Borutzky

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Louca, L., Rideout, D., Ersal, T., Stein, J. (2011). Energy-Based Bond Graph Model Reduction. In: Borutzky, W. (eds) Bond Graph Modelling of Engineering Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9368-7_2

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  • DOI: https://doi.org/10.1007/978-1-4419-9368-7_2

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  • Print ISBN: 978-1-4419-9367-0

  • Online ISBN: 978-1-4419-9368-7

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