Robust nonlinear controller design of wind turbine with doubly fed induction generator by using Hamiltonian energy approach

Based on Hamiltonian energy theory, this paper proposes a robust nonlinear controller for the wind turbine with doubly fed induction generator (DFIG), such that the closed-loop system can achieve its stability. Furthermore, in the presence of disturbances, the closed-loop system is finite-gain L2 stable by the Hamiltonian controller. The Hamiltonian energy approach provides us a physical insight and gives a new way to the controller design. The simulation results illustrate that the proposed method is effective and has its advantage.

[1]  O. Anaya-Lara,et al.  Control of DFIG-based wind generation for power network support , 2005, IEEE Transactions on Power Systems.

[2]  Romeo Ortega,et al.  A novel induction motor control scheme using IDA-PBC , 2008 .

[3]  Daizhan Cheng,et al.  Dissipative Hamiltonian realization and energy-based L2-disturbance attenuation control of multimachine power systems , 2003, IEEE Trans. Autom. Control..

[4]  R. Ortega,et al.  Adaptive L2 Disturbance Attenuation Of Hamiltonian Systems With Parametric Perturbation And Application To Power Systems , 2003 .

[5]  Peter Tavner,et al.  Control of a doubly fed induction generator in a wind turbine during grid fault ride-through , 2006 .

[6]  A. Piccolo,et al.  Designing an Adaptive Fuzzy Controller for Maximum Wind Energy Extraction , 2008, IEEE Transactions on Energy Conversion.

[7]  R. Ortega,et al.  Adaptive L/sub 2/ disturbance attenuation of Hamiltonian systems with parametric perturbation and application to power systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[8]  Daizhan Cheng,et al.  Generalized Hamiltonian realization of time-invariant nonlinear systems , 2003, Autom..

[9]  P. Ledesma,et al.  Doubly fed induction generator model for transient stability analysis , 2005, IEEE Transactions on Energy Conversion.

[10]  Xiao-Ping Zhang,et al.  Decentralized Nonlinear Control of Wind Turbine With Doubly Fed Induction Generator , 2008, IEEE Transactions on Power Systems.

[11]  Lingling Fan,et al.  Control of DFIG-Based Wind Generation to Improve Interarea Oscillation Damping , 2009, IEEE Transactions on Energy Conversion.

[12]  Rogelio Lozano,et al.  Energy based control of the Pendubot , 2000, IEEE Trans. Autom. Control..

[13]  Lie Xu,et al.  Direct active and reactive power control of DFIG for wind energy generation , 2006, IEEE Transactions on Energy Conversion.

[14]  A. Mullane,et al.  Modeling of the wind turbine with a doubly fed induction generator for grid integration studies , 2006, IEEE Transactions on Energy Conversion.

[15]  Arjan van der Schaft,et al.  Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems , 2002, Autom..

[16]  Li Ran,et al.  Control of a doubly fed induction generator in a wind turbine during grid fault ride-through , 2006, IEEE Transactions on Energy Conversion.

[17]  Hassan K. Khalil,et al.  Nonlinear Systems Third Edition , 2008 .

[18]  R. Ortega,et al.  ADAPTIVE L 2 DISTURBANCE ATTENUATION OF HAMILTONIAN SYSTEMS WITH PARAMETRIC PERTURBATION AND APPLICATION TO POWER SYSTEMS , 2003 .

[19]  Nick Jenkins,et al.  Comparison of 5th order and 3rd order machine models for doubly fed induction generator (DFIG) wind turbines , 2003 .

[20]  Rafael Castro-Linares,et al.  Trajectory tracking for non-holonomic cars: A linear approach to controlled leader-follower formation , 2010, 49th IEEE Conference on Decision and Control (CDC).