Parameterized Model Order Reduction for nonlinear IC models
E. J. W. ter Maten (NXP Semiconductors, Eindhoven, The Netherlands), A. Verhoeven (Vortech Computing, Delft, The Netherlands), M. Striebel (Technische Universität Chemnitz, Germany), T. Bechtold (NXP Semiconductors, Eindhoven, The Netherlands)
We demonstrate Model Order Reduction for a nonlinear system of differential-algebraic equations of a diode chain. We compare the Trajectory PieceWise Linear approach and the Proper Orthogonal Decomposition with Adapted Missing Point Estimation [1]. Next we show how parameters can be dealt with, including the case of a large number of parameters [2].
[1] A. Verhoeven, E.J.W. ter Maten, M. Striebel, R.M.M. Mattheij:
"Model order reduction for nonlinear IC models",
TU Eindhoven, CASA Report 2007-41.
[2] Z. Ilievski, H. Xu, A. Verhoeven, E.J.W. ter Maten, W.H.A. Schilders,
R.M.M. Mattheij:
"Adjoint transient sensitivity analysis in circuit simulation",
TU Eindhoven, CASA Report 2007-24.