应用分解法分析二阶锁相环路

Application of Decomposition Methods to the Analysis of Second-Order Phase-Locked Loops

本文介绍了一种新的非线性分析方法──分解法，并通过引入数学机械化的方法，将其应用于非理想二阶锁相环路的分析，推导了捕捉过程中相位差、频率差的逼近解析解，分析了环路的稳定性，得到了环路稳态相差、稳态频差和捕捉时间等参数。

In the paper,a novel method of nonlinear analysis- Decomposition method is introduced. Depending on Mathematical Mechanization,it is used to analyze the second-order Phase-locked loops (PLL) with imperfect integrator, and the approximate analytic solution of phase error and frequency error are worked out. The stability is analyzed and the steady-state phase error, frequency error and pull-in time are obtained.