Quasilinear control approach to wind farm power control

Quasilinear Control (QLC) is a set of methods for analysis and design of systems with nonlinear actuators and sensors. The approach of QLC is based on the method of stochastic linearization, which replaces each nonlinearity with an equivalent gain and bias. In this paper, we apply QLC for controller design of a wind farm with multiple wind turbines. These turbines are modeled by a linear plant preceded by an asymmetric saturation nonlinearity, which accounts for limited availability of wind. It is shown, using numerical simulations, that the controllers obtained via QLC perform significantly better in a broad range of regimes as compared to those designed in our earlier work by ignoring the saturations.

[1]  Yi Guo,et al.  Model predictive and adaptive wind farm power control , 2013, 2013 American Control Conference.

[2]  Kathryn E. Johnson,et al.  A tutorial of wind turbine control for supporting grid frequency through active power control , 2012, 2012 American Control Conference (ACC).

[3]  A. Tapia,et al.  Proportional–Integral Regulator-Based Approach to Wind Farm Reactive Power Management for Secondary Voltage Control , 2007, IEEE Transactions on Energy Conversion.

[4]  S. Arnalte,et al.  Automatic Generation Control of a Wind Farm with Variable Speed Wind Turbines , 2002, IEEE Power Engineering Review.

[5]  Luis M. Fernández,et al.  Comparative study on the performance of control systems for doubly fed induction generator (DFIG) wind turbines operating with power regulation , 2008 .

[6]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[7]  Jason R. Marden,et al.  Surveying Game Theoretic Approaches for Wind Farm Optimization , 2012 .

[8]  Hamid-Reza Ossareh,et al.  Quasilinear Control Theory for Systems with Asymmetric Actuators and Sensors. , 2013 .

[9]  Tomonobu Senjyu,et al.  Output power leveling of wind farm using pitch angle control with fuzzy neural network , 2006 .

[10]  John N. Jiang,et al.  An Approximate Wind Turbine Control System Model for Wind Farm Power Control , 2013, IEEE Transactions on Sustainable Energy.

[11]  Yi Guo.  Control and optimization of variable-speed wind turbines and large-scale wind farms , 2012 .

[12]  J.A.P. Lopes,et al.  Optimum generation control in wind parks when carrying out system operator requests , 2006, IEEE Transactions on Power Systems.

[13]  C. F. Moyano,et al.  An optimization approach for wind turbine commitment and dispatch in a wind park , 2009 .

[14]  P. Spanos,et al.  Random vibration and statistical linearization , 1990 .

[15]  Yi Guo,et al.  Nonlinear Dual-Mode Control of Variable-Speed Wind Turbines With Doubly Fed Induction Generators , 2011, IEEE Transactions on Control Systems Technology.

[16]  Boon-Teck Ooi,et al.  Development and simulation of dynamic control strategies for wind farms , 2009 .

[17]  L.Y. Pao,et al.  Control of variable-speed wind turbines: standard and adaptive techniques for maximizing energy capture , 2006, IEEE Control Systems.

[18]  Poul Ejnar Sørensen,et al.  Centralised power control of wind farm with doubly fed induction generators , 2006 .

[19]  J.W. Bialek,et al.  Supervisory Control of a Wind Farm , 2007, IEEE Transactions on Power Systems.