An Algorithm for Computing Steady-State Responses of Nonlinear Polynomial Systems to Multiple Input Frequencies

HU Po; CHENG Yun-ping

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An Algorithm for Computing Steady-State Responses of Nonlinear Polynomial Systems to Multiple Input Frequencies

更新时间：2025-07-16

- An Algorithm for Computing Steady-State Responses of Nonlinear Polynomial Systems to Multiple Input Frequencies
- Acta Electronica Sinica Vol. 35, Issue 2, Pages: 315-319(2007)
- 作者机构：
  
  武汉大学电气工程学院,湖北,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP271
- Published：2007
- 稿件说明：
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HU Po, CHENG Yun-ping. An Algorithm for Computing Steady-State Responses of Nonlinear Polynomial Systems to Multiple Input Frequencies[J]. Acta Electronica Sinica, 2007, 35(2): 315-319.
DOI：

HU Po, CHENG Yun-ping. An Algorithm for Computing Steady-State Responses of Nonlinear Polynomial Systems to Multiple Input Frequencies[J]. Acta Electronica Sinica, 2007, 35(2): 315-319. DOI：

摘要

针对工程实际中广泛存在并且有着十分重要应用的一大类非线性电路和系统

即非线性项为幂级数形式的非线性系统

本文称之为多项式非线性系统

提出了一种多频稳态响应的递归化计算方法

将这种非线性系统在多频输入下的稳态响应计算问题化为不断求解同一个线性系统在不同多频输入下的稳态响应

并且基于所构建的算法原理

采用目前广泛使用的Matlab语言编制了通用程序.大量算例表明

本文所提出的方法可以十分有效的用于计算这类系统的多频稳态响应.

Abstract

A recursive algorithm is presented for obtaining steady-state solutions of a large class of nonlinear circuits and systems driven by two or more distinct frequency input signals

which are called nonlinear polynomial systems(a nonlinear system with a power series type of nonlinearity) in this paper and find the important and wider applications in practice.By way of this algorithm

the response of a nonlinear polynomial system to the given multiple input frequencies can be obtained by repeatedly solving the steady-state responses of the same linear system to different multiple input frequencies .A program is developed using the Matlab language.Numerous examples have been solved successfully using the algorithm.One of these examples is given for illustrative purpose.

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A Solution and Analysis of Steady-State Responses of the Nonlinear Discrete Systems to Multiple Input Frequencies Based on Picard Iteration Principle

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