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
出处
《电子学报》
EI
CAS
CSCD
北大核心
2007年第2期315-319,共5页
Acta Electronica Sinica
关键词
多项式非线性系统
多频输入
稳态响应
nonlinear polynomial systems
multiple input frequencies
steady-state responses
