Disturbance Accommodating Control Design for Wind Turbines Using Solvability Conditions

Na Wang, Alan Wright, Mark Balas

Research output: Contribution to journalArticlepeer-review

18 Scopus Citations


In this paper, solvability conditions for disturbance accommodating control (DAC) have been discussed and applied on wind turbine controller design in above-rated wind speed to regulate rotor speed and to mitigate turbine structural loads. An asymptotically stabilizing DAC controller with disturbance impact on the wind turbine being totally canceled out can be found if certain conditions are fulfilled. Designing a rotor speed regulation controller without steady-state error is important for applying linear control methodology such as DAC on wind turbines. Therefore, solvability conditions of DAC without steady-state error are attractive and can be taken as examples when designing a multi-task turbine controller. DAC controllers solved via Moore-Penrose Pseudoinverse and the Kronecker product are discussed, and solvability conditions of using them are given. Additionally, a new solvability condition based on inverting the feed-through D term is proposed for the sake of reducing computational burden in the Kronecker product. Applications of designing collective pitch and independent pitch controllers based on DAC are presented. Recommendations of designing a DAC-based wind turbine controller are given. A DAC controller motivated by the proposed solvability condition that utilizes the inverse of feed-through D term is developed to mitigate the blade flapwise once-perrevolution bending moment together with a standard proportional integral controller in the control loop to assist rotor speed regulation. Simulation studies verify the discussed solvability conditions of DAC and show the effectiveness of the proposed DAC control design methodology.

Original languageAmerican English
Article number041007
Number of pages11
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number4
StatePublished - 1 Apr 2017

Bibliographical note

Publisher Copyright:
Copyright © 2017 by ASME.

NREL Publication Number

  • NREL/JA-5000-65922


  • Blade load mitigation
  • Disturbance accommodating control
  • Rotor speed regulation
  • Wind turbine


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