Moving horizon h ∞ control of variable speed wind turbines with actuator saturation

This study suggests a moving horizon ℋ∞ control scheme for variable speed wind turbines above the rated wind speed to maintain the output power at the rated value for variable operating points. A constrained ℋ∞ control problem is solved at each sampling time with the update of not only the initial condition but also the prediction model based on different operating points. Closed-loop properties inclusive of ℒ2 disturbance attenuation are discussed in the framework of dissipation theory. The moving horizon ℋ∞ control considers the non-linear dynamic aspect of the wind turbine, the turbulent nature of the wind and actuator saturations. Analysis and simulation results for WD34 wind turbine show possible improvements on the output electrical power regulation performance for variable operating points, while respecting actuator saturation limits.

[1]  Maria Letizia Corradini,et al.  Control of mobile robots with uncertainties in the dynamical model: a discrete time sliding mode approach with experimental results , 2002 .

[2]  H. Camblong.  Digital robust control of a variable speed pitch regulated wind turbine for above rated wind speeds , 2008 .

[3]  Xavier Guillaud,et al.  Wind turbine power tracking using an improved multimodel quadratic approach. , 2010, ISA transactions.

[4]  Allan Larsen,et al.  Individuel pitchregulering af vindmølle , 2006 .

[5]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[6]  Jakob Stoustrup,et al.  Robust and fault-tolerant linear parameter-varying control of wind turbines , 2011 .

[7]  Thommy Ekelund.  Modeling and Linear Quadratic Optimal Control of Wind Turbines , 1997 .

[8]  Houria Siguerdidjane,et al.  Comparison between linear and nonlinear control strategies for variable speed wind turbines , 2010 .

[9]  Hong Chen,et al.  Moving horizon I control with performance adaptation for constrained linear systems , 2006, Autom..

[10]  E. L. van der Hooft,et al.  ESTIMATED WIND SPEED FEED FORWARD CONTROL FOR WIND TURBINE OPERATION OPTIMISATION , 2004 .

[11]  T. Ahmed-Ali,et al.  Second-Order Sliding Mode Control of a Doubly Fed Induction Generator Driven Wind Turbine , 2012, IEEE Transactions on Energy Conversion.

[12]  Niels Kjølstad Poulsen,et al.  Robust model predictive control of a wind turbine , 2012, 2012 American Control Conference (ACC).

[13]  Hongze Xu,et al.  Active disturbance rejection based pitch control of variable speed wind turbine , 2011, Proceedings of the 30th Chinese Control Conference.

[14]  Luis T. Aguilar,et al.  Maximizing the performance of variable speed wind turbine with nonlinear output feedback control , 2012 .

[15]  H. Siguerdidjane,et al.  Nonlinear control of variable speed wind turbines for power regulation , 2005, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005..

[16]  Mohsen Rahimi,et al.  Transient Performance Improvement of Wind Turbines With Doubly Fed Induction Generators Using Nonlinear Control Strategy , 2010, IEEE Transactions on Energy Conversion.

[17]  Wilsun Xu,et al.  Control design and dynamic performance analysis of a wind turbine-induction generator unit , 2000 .

[18]  T. Ekelund,et al.  Modeling and control of variable-speed wind-turbine drive-system dynamics , 1995 .

[19]  Xin Ma,et al.  Adaptive Extremum Control and Wind Turbine Control , 1997 .

[20]  Hong Chen,et al.  An improved moving horizon control scheme through Lagrange duality , 2006 .

[21]  Lars Christian Henriksen,et al.  Model Predictive Control of a Wind Turbine , 2007 .

[22]  Y. Wang,et al.  A multi-objective optimal nonlinear control of variable speed wind turbine , 2009, 2009 IEEE International Conference on Control and Automation.

[23]  T. Funabashi,et al.  Robust Predictive Control of Variable-Speed Wind Turbine Generator by Self-Tuning Regulator , 2007, 2007 IEEE Power Engineering Society General Meeting.

[24]  C. Pritchard,et al.  European Wind Energy Conference , 2002 .

[25]  F. Allgower,et al.  Disturbance attenuation with actuator constraints by hybrid state-feedback control , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[26]  Kasper Zinck Østergaard,et al.  Robust, Gain-Scheduled Control of Wind Turbines , 2008 .

[27]  Lucy Y. Pao,et al.  Control of wind turbines: Past, present, and future , 2009, 2009 American Control Conference.