Stability analysis and nonlinear control of Phase Locked Loop of a weak-grid connected Voltage Source Converter

Milad Zarif Mansour, Sajjad Hadavi, Behrooz Bahrani

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Abstract

Voltage Source Converters (VSCs) connected to weak grids may face difficulties in synchronization leading to their instability. As the heart of the system, Phase Locked Loop (PLL) is responsible for synchronism of VSCs. In this paper, using the nonlinear state space model of the system composed of the grid and the PLL, stability and domain of attraction of the equilibrium point of the system is investigated. Afterwards, using Lyapunov theorem, a nonlinear controller that extends the domain of attraction of the equilibrium point is designed. Using phase portraits, the stability of the system with and without the designed controller while the VSC is connected to a very weak grid is evaluated. The results confirm that the system with the proposed controller remains stable, whereas the conventional system cannot maintain stability. Additionally, the domain of attraction of the compensated system is calculated. Finally, the results from phase portraits are validated by simulating the grid-connected VSC.

Original languageEnglish
Title of host publication2020 Fifteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)
EditorsAhmed Masmoudi
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781728156415, 9781728156408
ISBN (Print)9781728156422
DOIs
Publication statusPublished - 2020
EventInternational Conference on Ecological Vehicles and Renewable Energies 2020 - Monte-Carlo, Monaco
Duration: 10 Sep 202012 Sep 2020
Conference number: 15th
https://ieeexplore.ieee.org/xpl/conhome/9242649/proceeding (Proceedings)
http://conference.evermonaco.com/ (Website)

Conference

ConferenceInternational Conference on Ecological Vehicles and Renewable Energies 2020
Abbreviated titleEVER 2020
CountryMonaco
CityMonte-Carlo
Period10/09/2012/09/20
Internet address

Keywords

  • Lyapunov Theorem
  • Nonlinear Control System
  • Phase Locked Loop
  • Voltage Source Converter
  • Weak Grid

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