Application of Volterra-Wiener Spline Series for the Analysis of Nonlinear Electric Circuits

被引：0

作者：

Taran, A. N. ^{[1
]}

Taran, V. N. ^{[2
]}

机构：

[1] Moscow Tech Univ Commun & Informat, Moscow 111250, Russia

[2] Rostov State Univ Transport Commun Lines, Rostov Na Donu 344038, Russia

来源：

JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS | 2014年 / 59卷 / 07期

关键词：

Phase Portrait; Output Response; Harmonic Component; Harmonic Balance Method; Local Chart;

D O I：

10.1134/S1064226914060199

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The functional atlas of the initial system of nonlinear differential equations is split into local charts with the help of a multidimensional Taylor series expansion. In each chart, the approximation with a weakly nonlinear Volterra-Wiener series up to the fourth order is used, where a chart is changed when its boundaries are crossed. It is established that the obtained approach allows one to increase the accuracy and reliability of the calculated output response of the nonlinear system as compared to the classical Volterra-Wiener series approach. The results of the numerical simulation of a nonlinear RC circuit are presented and the efficiency of the proposed method is shown.

引用

页码：758 / 766

页数：9

共 50 条

[41] THE RELATIONSHIP BETWEEN BIVARIATE VOLTERRA ANALYSIS AND POWER-SERIES ANALYSIS WITH APPLICATION TO THE BEHAVIORAL MODELING OF MICROWAVE CIRCUITS
LUNSFORD, PJ
STEER, MB
INTERNATIONAL JOURNAL OF MICROWAVE AND MILLIMETER-WAVE COMPUTER-AIDED ENGINEERING, 1991, 1 (03): : 253 - 262
[42] APPLICATION OF VOLTERRA SERIES TO COMPUTATION OF NONLINEAR DISTORTIONS IN FM SYSTEMS
HESPELT, V
1978, 51 (2-3): : 128 - 138
[43] The influence of noise on nonlinear time series detection based on Volterra-Wiener-Korenberg model
Lei, Min
Meng, Guang
CHAOS SOLITONS & FRACTALS, 2008, 36 (02) : 512 - 516
[44] Application of Volterra and Wiener Theories for Nonlinear Parameter Estimation in a Rotor-Bearing System
A. A. Khan
N. S. Vyas
Nonlinear Dynamics, 2001, 24 : 285 - 304
[45] Use of Volterra Series for the Analysis of Nonlinear Systems.
Pupkov, K.A.
Kapalin, V.I.
Problems of Control and Information Theory, 1974, 3 (02): : 105 - 115
[46] ANALYSIS OF NONLINEAR-SYSTEMS DESCRIBED BY VOLTERRA SERIES
ASAUBAEV, KS
BARKIN, AI
POPKOV, YS
AUTOMATION AND REMOTE CONTROL, 1976, 37 (11) : 1631 - 1640
[47] The use of Volterra series in the analysis of the nonlinear Schrodinger equation
Guo, L. Z.
Guo, Y. Z.
Billings, S. A.
Coca, D.
Lang, Z. Q.
NONLINEAR DYNAMICS, 2013, 73 (03) : 1587 - 1599
[48] Towards Improving Accuracy of Nonlinear Time Invariant VLSI Circuits using Volterra Series Based Parametric Analysis
2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS), 2016, : 388 - 391
[49] Application of Volterra and Wiener theories for nonlinear parameter estimation in a rotor-bearing system
Khan, AA
Vyas, NS
NONLINEAR DYNAMICS, 2001, 24 (03) : 285 - 304
[50] FREQUENCY-DOMAIN VOLTERRA-PICARD SERIES METHOD IN THE THEORY OF NONLINEAR CIRCUITS
BOGACHOV, VM
SAZONOV, AD
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1989, 32 (05): : 27 - 33

← 1 2 3 4 5 →