Trajectory Piecewise Linear Approach for Nonlinear Differential-Algebraic Equations in circuit simulation

T Voϐ,R Pulch,E J W Ter Maten,A El Guennouni

doi:10.1007/978-3-540-71980-9_16

Trajectory Piecewise Linear Approach for Nonlinear Differential-Algebraic Equations in circuit simulation

T Voϐ, R Pulch + Show 2 more

https://doi.org/10.1007/978-3-540-71980-9_16

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Publication Date: Jan 1, 2007

Citations: 15

Affiliation: University of Groningen, University of Wuppertal, Software and Engineering Associates (United States), Magma (Germany)

#Trajectory Piecewise Linear #Trajectory Piecewise Linear Model + Show 8 more

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Abstract

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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