Wind turbine control with active damage reduction through energy dissipation

In this paper we propose an active damage reduction control strategy for wind turbines based on dissipated energy. To this end we rely on the equivalences relating both damage in the rainflow counting sense and dissipated energy to the variations of Preisach hysteresis operators. Since dissipation theory is well suited for control systems, we adopt the dissipated energy of a Duhem hysteresis model that is described by a differential equation. Accordingly, we incorporate the dissipated energy into the optimal control problem formulation as a proxy to the damage. Lastly, the proposed strategy is evaluated with NREL's FAST high-fidelity non-linear wind turbine.

[1]  Fabio Bagagiolo,et al.  VISCOSITY SOLUTIONS FOR AN OPTIMAL CONTROL PROBLEM WITH PREISACH HYSTERESIS NONLINEARITIES , 2004 .

[2]  Darrell F. Socie,et al.  Simple rainflow counting algorithms , 1982 .

[3]  Stephen P. Boyd,et al.  Load reduction of wind turbines using receding horizon control , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[4]  M. Brokate,et al.  Hysteresis and Phase Transitions , 1996 .

[5]  Adam Niesłony,et al.  Determination of fragments of multiaxial service loading strongly influencing the fatigue of machine components , 2009 .

[6]  Ruiyue Ouyang,et al.  Stability analysis and controller design for a system with hysteresis , 2013 .

[7]  I. Rychlik A new definition of the rainflow cycle counting method , 1987 .

[8]  Ervin Bossanyi,et al.  The Design of closed loop controllers for wind turbines , 2000 .

[9]  David Schlipf,et al.  Nonlinear model predictive control of wind turbines using LIDAR , 2013 .

[10]  J. Jonkman,et al.  Definition of a 5-MW Reference Wind Turbine for Offshore System Development , 2009 .

[11]  Bayu Jayawardhana,et al.  On the characterization of the Duhem hysteresis operator with clockwise input-output dynamics , 2012, Syst. Control. Lett..

[12]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[13]  Rafael Wisniewski,et al.  Fatigue load modeling and control for wind turbines based on hysteresis operators , 2015, 2015 American Control Conference (ACC).

[14]  I. D. Mayergoyz,et al.  Optimal control of dynamical systems with Preisach hysteresis , 2002 .

[15]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[16]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[17]  D. S. Tchankov,et al.  Fatigue life prediction under random loading using total hysteresis energy , 1998 .

[18]  A. Visintin Differential models of hysteresis , 1994 .

[19]  Paolo Nistri,et al.  Mathematical Models for Hysteresis , 1993, SIAM Rev..

[20]  Peter Fogh Odgaard,et al.  Repetitive model predictive approach to individual pitch control of wind turbines , 2011, IEEE Conference on Decision and Control and European Control Conference.

[21]  Walter Schütz,et al.  A history of fatigue , 1996 .

[22]  Rafael Wisniewski,et al.  Fatigue damage estimation and data-based control for wind turbines , 2015 .

[23]  J. Willems Dissipative dynamical systems part I: General theory , 1972 .

[24]  Bayu Jayawardhana,et al.  Stability of systems with the Duhem hysteresis operator: The dissipativity approach , 2012, Autom..

[25]  Klaus Dressler,et al.  Rainflow counting and energy dissipation for hysteresis models in elastoplasticity , 1996 .

[26]  Niels Kjølstad Poulsen,et al.  A fatigue approach to wind turbine control , 2006 .

[27]  Jason Jonkman,et al.  FAST User's Guide , 2005 .

[28]  JinHyoung Oh,et al.  Counterclockwise Dynamics of a Rate-Independent Semilinear Duhem Model , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[29]  Fernando D. Bianchi,et al.  Wind Turbine Control Systems: Principles, Modelling and Gain Scheduling Design , 2006 .

[30]  Inge Lotsberg,et al.  Background for New Revision of DNV-RP-C203 Fatigue Design of Offshore Steel Structures , 2010 .

[31]  Feargal Brennan,et al.  Fatigue design of offshore steel mono-pile wind substructures , 2014 .