Boundary conditions for multi-tone steady-state analysis of nonlinear integrated analog circuits

Dumitriu, Lucia; Iordache, Mihai; Stâmâtescu, Grigore

doi:10.1109/eccsc.2008.4611669

Cited by 1 publication

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“…If the circuit behavior is described by differential-algebraic equations (DAEs), using multivariable functions (with artificial multiple time scales) DAEs are transformed in multi partial-differential equations (MPDEs) [4][5][6][7]. Using an appropriate integration algorithm for MPDEs solving and appropriate boundary conditions (BCs), an efficient analysis method for RF circuits with strong nonlinearities is obtained [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Companion models in two-time scale for multitone steady-state simulation of the nonlinear circuits

Iordache

Dumitriu

Mandache

2010

2010 XIth International Workshop on Symbolic and Numerical Methods, Modeling and Applications to Circuit Design (SM2ACD)

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The multitone signals make traditional analysis difficult even impossible if the circuits are highly nonlinear. Using multiple time variables allow an efficient representation of these signals. In this formulation the components with different rates of variation are decoupled, each disparate signal being represented by its own artificial time scale. The differential algebraic equations describing the dynamic behavior of these circuits are transformed into multi-time partial differential equations (MPDEs). In order to solve MPDEs, discrete resistive models (companion models) associated to a selected numeric integration algorithm are used to model the dynamic circuit elements. In this paper companion models in 2D are built in order to implement them in a very efficient simulator for steadystate simulation of the nonlinear circuits.

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