The conservative lock-in range for PLL with lead-lag filter and triangular phase detector characteristic

TL;DR

This paper derives an exact conservative lock-in range for a second-order PLL with a lead-lag filter and triangular phase detector, using analytical integration of the model's linear segments.

Contribution

It provides a precise analytical method to determine the lock-in range for this specific PLL configuration, enhancing accuracy over previous approximate methods.

Findings

Exact conservative lock-in range obtained

Analytical integration method developed for the model

Applicable to PLLs with lead-lag filters and triangular phase detectors

Abstract

In the present work, a second-order PLL with lead-lag loop filter and triangular phase detector characteristic is analysed. An exact value of the conservative lock-in range is obtained for the considered model. The solution is based on analytical integration of the considered model on the linear segments.