scholarly journals STEADY-STATE ANALYSIS OF NONLINEARLY COUPLED CHUA'S CIRCUITS WITH PERIODIC INPUT

2003 ◽  
Vol 13 (11) ◽  
pp. 3395-3407 ◽  
Author(s):  
F. A. SAVACI ◽  
M. E. YALÇIN ◽  
C. GÜZELIŞ
Keyword(s):  
Steady State ◽  
Time Domain ◽  
Transfer Functions ◽  
Piecewise Linear ◽  
Time Domain Analysis ◽  
Steady State Analysis ◽  
Linear Dynamic Systems ◽  
Periodic Input ◽  
The Time Domain ◽  
State Analysis

In this paper, nonlinearly coupled identical Chua's circuits, when driven by sinusoidal signal have been analyzed in the time-domain by using the steady-state analysis techniques of piecewise-linear dynamic systems. With such techniques, it has become possible to obtain analytical expressions for the transfer functions in terms of the circuit parameters. The proposed system under consideration has also been studied by analog simulations of the overall system on a hardware realization using off-the-shelf components as well as by a time-domain analysis of the synchronization error.

Steady-state analysis of piecewise-linear dynamic systems

1981 ◽  
Vol 28 (3) ◽  
pp. 234-242 ◽  
Author(s):  
I. Hajj ◽  
S. Skelboe
Keyword(s):  
Steady State ◽  
Dynamic Systems ◽  
Piecewise Linear ◽  
Steady State Analysis ◽  
Linear Dynamic Systems ◽  
Linear Dynamic ◽  
State Analysis

A new approach to steady state analysis of nonlinear electrical circuits

2017 ◽  
Vol 36 (3) ◽  
pp. 716-728 ◽  
Author(s):  
Tadeusz Sobczyk ◽  
Michał Radzik
Keyword(s):  
Steady State ◽  
Periodic Solutions ◽  
Nonlinear Differential Equations ◽  
Direct Calculation ◽  
Electrical Circuits ◽  
Steady State Analysis ◽  
Content Type ◽  
The Time Domain ◽  
Approach To Steady State ◽  
State Analysis

Purpose The purpose of this study is to identify a novel methodology for direct calculation of steady-state periodic solutions for electrical circuits described by nonlinear differential equations, in the time domain. Design/methodology/approach An iterative algorithm was created to determine periodic steady-state solutions for circuits with nonlinear elements in a chosen set of time instants. Findings This study found a novel differential operator for periodic functions and its application in the steady-state analysis. Research limitations/implications This approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems. Practical implications The complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach. Originality/value This study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.

INEXACT NEWTON METHODS FOR THE STEADY STATE ANALYSIS OF NONLINEAR CIRCUITS

1996 ◽  
Vol 06 (01) ◽  
pp. 43-57 ◽  
Author(s):  
NICOLA GUGLIELMI
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Original Problem ◽  
Nonlinear Circuits ◽  
Projection Technique ◽  
Steady State Analysis ◽  
Nonlinear Algebraic System ◽  
The Time Domain ◽  
Theoretical Foundations ◽  
State Analysis

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.

scholarly journals Effect of Wave-Current Interaction on Structural Responses of a Very Long and Side-Anchored Floating Bridge

2020 ◽  
Author(s):  
Jian Dai ◽  
Bjørn Christian Abrahamsen ◽  
Bernt Johan Leira
Keyword(s):  
Time Domain ◽  
Transfer Functions ◽  
Computational Study ◽  
Three Dimensional ◽  
Time Domain Analysis ◽  
Bridge Model ◽  
Structural Responses ◽  
Floating Bridge ◽  
Current Interaction ◽  
The Time Domain

Abstract This paper is concerned with a computational study on the hydroelastic response of a long, straight and side-anchored fjord-crossing floating bridge accounting for the wave-current interaction. The effect of this interaction on a single bridge pontoon is investigated by using the three-dimensional potential solver VERES3D. The frequency-dependent hydrodynamic coefficients and excitation force transfer functions are presented and compared with WAMIT results where the current effect is ignored. Based on the frequency domain results, an approach to account for the wave-current interaction in time domain analysis is proposed. Next, a generic straight and side-anchored floating bridge model is put forward to examine the stochastic structural responses in the time domain. For the purpose of comparison, the bridge responses under waves and current without interaction are also investigated. This study attempts to quantify the wave-current interaction effect on the structural responses of a floating bridge and provide useful recommendations and suggestions to researchers and engineers for their study of similar structures.

Time-domain steady-state analysis of nonlinear electrical systems

1982 ◽  
Vol 70 (10) ◽  
pp. 1210-1228 ◽  
Author(s):  
S. Skelboe
Keyword(s):  
Steady State ◽  
Time Domain ◽  
Steady State Analysis ◽  
Electrical Systems ◽  
State Analysis

A Periodic-Steady-State Analysis Model in Time-Domain for Dual Active Bridge Converter

2021 ◽  
pp. 1-1
Author(s):  
Di Mou ◽  
Quanming Luo ◽  
Yuqi Wei ◽  
Jia Li ◽  
Nie Hou ◽  
...  
Keyword(s):  
Steady State ◽  
Time Domain ◽  
Analysis Model ◽  
Steady State Analysis ◽  
Dual Active Bridge ◽  
Periodic Steady State ◽  
State Analysis
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