The half-plane pull-in range of a second-order phase-locked loop

被引：7

作者：

Harb, B

Stensby, J

机构：

[1] Dept. of Elec. and Comp. Engineering, University of Alabama in Huntsville, Huntsville

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1996年 / 333B卷 / 02期

关键词：

D O I：

10.1016/0016-0032(96)00010-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The pull-in range Omega(p) of a second-order, Type I phase-locked loop (PLL) is defined as the maximum value of loop detuning omega(os) for which pull-in occurs from anywhere on the PLL's phase plane. That is, pull-in is guaranteed from anywhere on the phase plane if \omega(os)\ < Omega(p). Simple approximations ave available for computing Omega(p). The concept is expanded here, and a definition is given for the PLL's half-plane pull-in range Omega(2). simply stated, pull-in is guaranteed from anywhere on the phase plane's lower-half if 0 < omega(os) < Omega(2). Unlike the parameter Omega(p), a simple approximation for Omega(2) is not available. However, a Galerkin based algorithm is presented for computing the PLLS half-plane pull-in range Omega(2), and it is applied to a simple example. (C) 1996 Published by Elsevier Science Ltd

引用

页码：191 / 199

页数：9

共 9 条

[1]

Gardner F. M., 1979, PHASELOCK TECHNIQUES

[2]

*IMSL, 1994, IMSL SCI SUBR PACK

[3]

Lindsey W. C, 1972, SYNCHRONIZATION SYST

[4]

Perko L., 2013, Differential Equations and Dynamical Systems