STEADY-STATE ANALYSIS OF NONLINEAR CIRCUITS WITH PERIODIC INPUTS

被引:282
作者
APRILLE, TJ
TRICK, TN
机构
来源
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS | 1972年 / 60卷 / 01期
关键词
COMPUTERS; DIGITAL; Programming - RADIO CIRCUITS; Analysis;
D O I
10.1109/PROC.1972.8563
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
In the computeraidd anysis of nonlinear circuits with periodic inputs and a stable periodic response the steady- state periodic respone is found for a given initial state by simply integrating the system equations until the response becomes periodic. Inlightly damped systems this integration could extend over many periods making the computation costly. In this paper a Newton algorithm is defined which converges to the steady- state response rapidly. The algorithm is applied to several nonlinear circuits. The result show a considerable reduction in the amount of time necessary to compute the steady- state response.
引用
收藏
页码:108 / &
相关论文
共 17 条
[1]  
BAILY EM, 1968, THESIS STANFORD U
[2]  
Coddington E. A., 1955, THEORY ORDINARY DIFF
[3]  
DERUSSO PM, 1967, STATE VARIABLES ENGI
[4]  
FALB PL, 1969, SOME SUCCESSIVE APPR
[5]  
GEAR CW, 1967, 221 U ILL DEP COMP S
[6]  
Hale J. K., 1963, OSCILLATIONS NONLINE
[7]  
Hayashi C., 1964, NONLINEAR OSCILLATIO
[8]  
HOLMSTED JM, 1956, REAL VARIABLES
[9]  
Keller HerbertB., 2018, NUMERICAL METHODS 2
[10]  
LINDENLAUB JC, 1969, 7TH P ANN ALL C CIRC, P323