Alexeeva, Tatyana (HSE University), Kuznetsov, Nikolay (Saint Petersburg State University, University of Jyvaskyla), Lobachev, Mikhail (Saint Petersburg State University), Yuldashev, Marat (Saint Petersburg State University, University of Jyvaskyla), Yuldashev, Renat (Saint Petersburg State University, University of Jyvaskyla)

Nonlinear Analysis of SRF-PLL: Hold-In and Pull-In Ranges

Scheduled for presentation during the Regular Session "Nonlinear systems, Localization and FDI " (FrA2), Friday, November 18, 2022, 10:20−10:40, ROOM - E 210

16th European Workshop on Advanced Control and Diagnosis, November 16-18, 2022, Nancy, France

This information is tentative and subject to change. Compiled on April 24, 2024

Abstract

A Synchronous Reference Frame Phase-Locked Loop (SRF-PLL) is a nonlinear control circuit widely used in power engineering for the synchronization and control of three-phase grid-connected converters. New applications of power converters in sustainable energy generators have led to the problem of nonlinear analysis of SRF-PLL stability. In this paper, a continuous nonlinear model of SRF-PLL with a first-order loop filter is studied and the hold-in range of the model is analysed. Using the qualitative theory of dynamical systems and classical methods of control theory, we conduct a nonlinear analysis of the SRF-PLL model and suggest an analytical estimate for the pull-in range of the considered model. The obtained estimate is compared with known engineering estimates of the pull-in range. MATLAB Simulink is used to perform computer simulation which confirms theoretical results.