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

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