基于分解法的非线性动态电路周期解的计算  

Computation of periodic solutions for the nonlinear dynamic circuits based on the decomposition method

作　　者：张伟志[1] 谭震宇[1] 徐光[2] 

机构地区：[1]山东大学电气工程学院,山东济南250061 [2]山东大学后勤处,山东济南250100

出　　处：《系统工程与电子技术》2005年第6期1000-1002,共3页Systems Engineering and Electronics

摘　　要：基于分解法原理,建立了一类非线性动态系统周期解的逆算符表达的递推算法,并利用Mathematica计算机代数语言开发出相应的软件系统,实现了该算法的计算机自动求解。给出了计算实例,并将算法所得结果与四阶龙格库塔数值方法的计算结果作了比较。实际计算结果表明,该算法具有较高的计算精度和较大的普适性,是求解一类非线性动态电路周期解的有效方法。Based on the principle of the decomposition method, the inverse operator expression of the periodic solutions for some nonlinear dynamic systems is given. The automatic calculation of this arithmetic is realized via computer program in Mathematica language. The examples of practical calculation are also presented and the calculation results obtained by this method are compared with those of the Runge-Kutta method. The calculation results show that this approach has the advantages of high accuracy and wide application, so it is an effective tool to calculate some type of nonlinear dynamic circuits.

关 键 词：非线性电路 周期解 分解法 

分 类 号：TM132[电气工程—电工理论与新技术]