A new bipolar transistor model called VBIC has recently been developed and is likely to replace the Gummel–Poon model as the new industry standard bipolar transistor model. This paper focuses on the comparison of the VBIC and Gummel–Poon models under the dc operations. The extraction and optimization procedure coded in S+ statistical language and required for VBIC simulation is also developed a...

We make a theoretical analysis of the application of the generalized hierarchical basis multigrid method to the convection-diiusion equation, discretized using the Scharfetter-Gummel discretization. Our analysis is performed for two levels of grid reenement in which we compare the eeects of diierent interpolation factors for the coarse grid basis functions on the method. In particular, we nd th...

A fully conservative and efficient numerical algorithm is developed for fluid simulations of radio-frequency plasma discharges. Results are presented in one and multiple dimensions for a helium discharge. The algorithm produces accurate results even on fairly coarse grids without the use of numerical dissipation. The proposed electron flux discretization is more accurate and efficient than two ...

Abstract In this paper we propose a finite-volume scheme for aggregation–diffusion equations based on Scharfetter–Gummel approximation of the quadratic, nonlocal flux term. This is analyzed concerning well posedness and convergence towards solutions to continuous problem. Also, it proven that numerical has several structure-preserving features. More specifically, shown discrete satisfy free-ene...

A generalized Scharfetter-Gummel method is proposed to construct the numerical flux for one-dimensional drift-diffusion equations. Instead of taking a constant approximation as Scharfetter and Gummel did in [1], we consider p-degree polynomial with p≥1. The high order moments approximating function serve intermediaries bring correction flux, that other end turns out be solution derivatives. The...

We propose a new numerical 2-point flux for quasilinear convection–diffusion equation. This is shown to be an approximation of the derived from solution two-point Dirichlet boundary value problem projection continuous onto line connecting neighboring collocation points. The later approach generalizes idea first proposed by Scharfetter and Gummel [IEEE Trans. Electron Devices 16 (19...

This paper presents a systematic parameter extraction method for an HBT temperature-dependant equivalent-circuit DC model. A reliable procedure was developed for determining the HBT thermal resistance, requiring only forward Gummel data at different temperatures and collector-emitter bias voltages. The extraction method was applied to predict the DC characteristics of a 2x25 μm emitter-area InG...

AbstructWe present a method for SPICE model parameter extraction for a bipolar transistor in the active and quasisaturation modes. It uses the capabilities of the BIPOLE3 [l] simulator to enhance the optimization procedure. Comparisons are made between the Gummel-Poon, the VBIC95, and the SGSThomson Microelectronics SPICE model results for IC (1 ). I R ( T A , ). 3(1( ). f r ( I c ) , and Ir(1i...