等效小参量法在非线性系统分析中应用的评述

Review on applications of equivalent small parameter method in nonlinear system analysis

等效小参量法是用于非线性微分方程的一种定量分析方法。它是在扰动法的基础上发展起来的,在电工学、电力电子学和非线性电路与系统等领域具有重要作用。阐述了该方法的基本原理和主要算法,及其在耗散自治系统、耗散非自治系统、保守系统、时变线性系统、非线性时变系统和各种非线性电路中应用的算法特点和数学技巧。另外,介绍了新方法的发展过程和应用概况。

equations, electronics The equivalent small parameter method is an approach for quantitative analysis of nonlinear differential which is developed based on the perturbation techniques, and plays an important role in electrotechnics, power electronics, and nonlinear circuits and systems. The basic principle, main algorithms of the method, and mathematical techniques for analysis of autonomous systems, non-autonomous systems, conservative systems, time-variant linear systems, time-variant nonlinear systems and various nonlinear circuits was described. The developing process and applications situation of the method were described as well.