A model order reduction method is developed and applied to 1D diffusion systems with negative real eigenvalues. Spatially distributed residues are found either analytically (from a transcendental transfer function) or numerically (from a finite element or finite difference state space model), and residues with similar eigenvalues are grouped together to reduce the model order. Two examples are presented from a model of a lithium ion electrochemical cell. Reduced order grouped models are compared to full order models and models of the same order in which optimal eigenvalues and residues are found numerically. The grouped models give near-optimal performance with roughly the computation time of the full order models and require 1000–5000 times less CPU time for numerical identification compared to the optimization procedure.
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e-mail: cdrahn@psu.edu
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January 2008
Research Papers
Model Order Reduction of 1D Diffusion Systems Via Residue Grouping
Kandler A. Smith,
Kandler A. Smith
Center for Transportation Technologies and Systems,
National Renewable Energy Laboratory
, Golden, CO 80401
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Christopher D. Rahn,
Christopher D. Rahn
Department of Mechanical and Nuclear Engineering,
e-mail: cdrahn@psu.edu
The Pennsylvania State University
, University Park, PA 16802
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Chao-Yang Wang
Chao-Yang Wang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802
Search for other works by this author on:
Kandler A. Smith
Center for Transportation Technologies and Systems,
National Renewable Energy Laboratory
, Golden, CO 80401
Christopher D. Rahn
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802e-mail: cdrahn@psu.edu
Chao-Yang Wang
Department of Mechanical and Nuclear Engineering,
The Pennsylvania State University
, University Park, PA 16802J. Dyn. Sys., Meas., Control. Jan 2008, 130(1): 011012 (8 pages)
Published Online: January 11, 2008
Article history
Received:
May 23, 2006
Revised:
April 24, 2007
Published:
January 11, 2008
Citation
Smith, K. A., Rahn, C. D., and Wang, C. (January 11, 2008). "Model Order Reduction of 1D Diffusion Systems Via Residue Grouping." ASME. J. Dyn. Sys., Meas., Control. January 2008; 130(1): 011012. https://doi.org/10.1115/1.2807068
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