Computationally Efficient Finite-Position-Set-Phase-Locked Loop for Sensorless Control of PMSGs in Wind Turbine Applications

Mohamed Abdelrahem, Christoph M. Hackl, Ralph Kennel, Jose Rodriguez

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


Finite-control-set model predictive control (FCS-MPC) techniques have been widely applied for power electronics, and motor drive. Furthermore, the principles of FCS-MPC have been extended to phase-locked loop (PLL), which called finite-position-set PLL (FPS-PLL), for sensorless control of permanent-magnet synchronous generators (PMSGs) in wind turbine applications (WTAs). However, 64 iterations are essential to find the optimal rotor position, i.e., high computational burden. In this article, two computationally efficient (CE) FPS-PLLs are proposed for encoderless control of PMSGs in WTAs. The first CE-FPS-PLL$_1$ reduces the number of iterations to 36 with slightly better accuracy than the FPS-PLL, while the second (novel) CE-FPS-PLL$_2$ calls for only 24 iterations to find the best rotor position with significantly better accuracy than the FPS-PLL. The performance of the proposed CE-FPS-PLLs has been experimentally investigated, and compared with that of the FPS-PLL, and classical PLL using a 14.5-kW PMSG. Furthermore, the robustness of the proposed CE-FPS-PLLs is investigated against variations of the PMSG parameters.

Original languageEnglish
Article number9165204
Pages (from-to)3007-3016
Number of pages10
JournalIEEE Transactions on Power Electronics
Issue number3
Publication statusPublished - Mar 2021


  • encoderless control
  • Finite-control-set model predictive control (FCS-MPC)
  • permanent-magnet synchronous generator (PMSG)
  • phase-locked loop (PLL)
  • variable-speed wind turbines (WTs)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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