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We consider integrated circuits with semiconductors modeled by modified nodalanalysis and drift-diffusion equations. The drift-diffusion equations arediscretized in space using mixed finite element method. This discretizationyields a high dimensional differential-algebraic equation. We show how properorthogonal decomposition (POD) can be used to reduce the dimension of themodel. We compare reduced and fine models and give numerical results for abasic network with one diode. Furthermore we discuss an adaptive approach toconstruct POD models which are valid over certain parameter ranges. Finally,numerical investigations for the reduction of a 4-diode rectifier network arepresented, which clearly indicate that POD model reduction delivers surrogatemodels for the diodes involved, which depend on the position of thesemiconductor in the network.

Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks