Summary
In this paper we extend the Trajectory Piecewise Linear (TPWL) model order reduction (MOR) method for nonlinear differential algebraic equations (DAE). The TPWL method is based on combining several linear reduced models at different time points, which are created along a typical trajectory, to approximate the full nonlinear model. We discuss how to select the linearization tuples for linearization and the choice of linear MOR method. Then we study how to combine the local linearized reduced systems to create a global TPWL model. Finally, we show a numerical result.
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© 2007 Springer-Verlag Berlin Heidelberg
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Voϐ, T., Pulch, R., ter Maten, E.J.W., El Guennouni, A. (2007). Trajectory Piecewise Linear Approach for Nonlinear Differential-Algebraic Equations in circuit simulation. In: Ciuprina, G., Ioan, D. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71980-9_16
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DOI: https://doi.org/10.1007/978-3-540-71980-9_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71979-3
Online ISBN: 978-3-540-71980-9
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