[1]王政贤,张明淳,宋耀华.锁相环路的大范围稳定性(Ⅰ)[J].东南大学学报(自然科学版),1965,7(1):35-60.[doi:10.3969/j.issn.1001-0505.1965.01.003]
 On the stability for the phase locked loop[J].Journal of Southeast University (Natural Science Edition),1965,7(1):35-60.[doi:10.3969/j.issn.1001-0505.1965.01.003]
点击复制

锁相环路的大范围稳定性(Ⅰ)()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
7
期数:
1965年第1期
页码:
35-60
栏目:
本刊信息
出版日期:
1965-03-20

文章信息/Info

Title:
On the stability for the phase locked loop
作者:
王政贤张明淳宋耀华
undefined
关键词:
极限环 渐近稳定区域 方程 大范围稳定性 同步频带 奇点 锁相环路 相图 参数 分界
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1965.01.003
摘要:
本文用定性的方法研究了锁相环路中的非线性振动方程。(?)+(λ_1-λ_2 sin(?)+cos(?)=Υ其中λ_1,λ_2,Υ为正的参数。我们证明了方程不存在极限环,卽环路不产生等幅周期性自激振荡,但可以出现稳定工作,不稳定工作和临界的三种相图,根据临界情况,用3yσOB 求渐近稳定区域边界的方法,导出了捕捉频带与参数之间的关系式。在给定参数的情况下,用电子计算机按照导出的公式进行计算,得到了捕捉频带与参数之间的关系曲线,把这些曲线与实验所取得的曲线相比较是符合的。
Abstract:
In this paper we have investigated the non-linear differntial equation +(λ_1-λ_2 sin )+cos =r (1) produced from the phase locked loop,by means of qualitative method,in which λ_1,λ_2,Υ are positive constants,We have proved that equation (1)cannot appear limit-cycle,i.e.the periodic selfexcited oscillation cannot occurs.After analysing the phase characferislics we conclude that the three different kinde of phas efigure,i.e.the stable and unstable work and the critical case,can arppear. Futher thr formula ot the capture range be also obtained The theoretical anal- yses are accordance with the experimental results.
更新日期/Last Update: 2013-05-01