Abstract
An analysis and algorithm are provided for developing modal reduced-order models for general tridiagonal system dynamics. A number of new results are presented including a set of bounding equations for the dominant system time constant and an error measure that enables one to determine the suitability of the reduced-order model with regard to both its mathematical form and order. The model reduction algorithm provided in this work provides fast, reliable estimates of the parameters required for the reduced-order models. In addition, the eigenvalue bounding equations provide conservative estimates of the domain in which the dominant system time constant must lie. These bounds provide the maximum error in the value for the dominant system time constant evaluated with our technique. Finally, the use of the error measure quantity defined in this work is shown to be of value in evaluating issues related to model suitability.
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