State Analysis Of Nonlinear Circuits Research Articles

Comparison Analysis Based on the Cubic Spline Wavelet and Daubechies Wavelet of Harmonic Balance Method

This paper develops a theoretical analysis of harmonic balance method, based on the cubic spline wavelet and Daubechies wavelet, for steady state analysis of nonlinear circuits under periodic excitation. The properties of the resulting Jacobian matrix for harmonic balance are analyzed. Numerical experiments illustrate the theoretical analysis.

Comparison Study of Performance of Parallel Steady State Solver on Different Computer Architectures

A parallel solver for steady state analysis of nonlinear circuits is presented. The solver uses the Message Passing Interface specification for communications and is suitable for steady state simulation of very large nonlinear circuits. Performance of the solver is investigated on symmetric multiprocessing, non-uniform memory access, and distributed memory computer systems. Impact of memory subsystem constraints on the solver efficiency is evaluated.

On the steady-state analysis of nonlinear circuits with frequency dependent parameters in wavelet domain

This letter introduces a new method for steady state analysis of nonlinear circuits with frequency dependent parameter components. The method enables treatment of distributed parameter components in a wavelet domain steady state circuit simulator. The method features thresholding of the convolution matrix in wavelet domain in order to reduce computational cost and is suitable for highly nonlinear circuits with distributed parameters under multitone excitations.

INEXACT NEWTON METHODS FOR THE STEADY STATE ANALYSIS OF NONLINEAR CIRCUITS

In this paper numerical problems arising from steady state analysis of nonlinear circuits with quasiperiodic excitation are discussed. The approach we consider is based on the piecewise harmonic balance techniques8,9 (HB), a methodology which has its theoretical foundations in Galerkin's procedure (see the paper by Urabe12). The original problem, which can be expressed in the form of a system of integro-differential equations in the time domain, is changed into a nonlinear algebraic system through a natural projection technique. Thus, one of the main issues we have investigated consists in the numerical solution of the specific nonlinear algebraic problem.

Extended harmonic balance method

A new approach for frequency domain analysis and periodic steady state analysis of nonlinear circuits is described. Beside the variables generally used in the harmonic balance method (HBM) this method also uses a reduced waveform as a function of time. As a result, the number of harmonics in the HBM is limited to the harmonics requested for output results. The waveform in time is used to ensure the requested accuracy. The approach leads to a large speed improvement compared with ordinary HBM, without reducing accuracy and convergence properties of the Newton iteration process. The speed improvement is demonstrated by an example taken from an actual design.