**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30855

##### Design a Fractional Order Controller for Power Control of Doubly Fed Induction Generator Based Wind Generation System

**Authors:**
Abdellatif Kasbi,
Abderrafii Rahali

**Abstract:**

During the recent years, much interest has been devoted to fractional order control that has appeared as a very eligible control approach for the systems experiencing parametric uncertainty and outer disturbances. The main purpose of this paper is to design and evaluate the performance of a fractional order proportional integral (FOPI) controller applied to control prototype variable speed wind generation system (WGS) that uses a doubly fed induction generator (DFIG). In this paper, the DFIG-machine is controlled according to the stator field-oriented control (FOC) strategy, which makes it possible to regulate separately the reactive and active powers exchanged between the WGS and the grid. The considered system is modeled and simulated using MATLAB-Simulink, and the performance of FOPI controller applied to the back-to-back power converter control of DFIG based grid connected variable speed wind turbine are evaluated and compared to the ones obtained with a conventional PI controller.

**Keywords:**
Design,
Wind turbine,
field-oriented control,
doubly fed induction generator,
fractional order PI controller,
wind generation system

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.3455647

**References:**

[1] E. Aydin, A. Polat and L. T. Ergene, “Vector Control of DFIG in Wind Power Applications,” in IEEE (ICRERA), Birmingham, Nov. 2016, pp. 478-483.

[2] M. Arghya and C. D. Chatterjee, “Active Power Control of DFIG-Based Wind Farm for Improvement of Transient Stability of Power Systems,” IEEE Trans. Power Syst., vol. 31, no. 2, pp. 82-93, February 2015.

[3] L. Xiong, J. Wang, X. Mi and M. W. Khan, “Fractional Order Sliding Mode Based Direct Power Control of Grid-Connected DFIG,” IEEE Trans. Power Syst., vol. 33, no. 3, pp. 3087-3096, October 2017.

[4] K. Kerrouche, A. Mezouar and K. Belgacem,” Decoupled Control of Doubly Fed Induction Generator by Vector Control for Wind Energy Conversion System,” in Overview of renewable energies exploitation in Algeria, Energy Procedia, 2013, vol. 42, pp. 239-248.

[5] R. Errouissi, A. A. Durra, S. M. Muyeen, S. Leng, and F. Blaabjerg, “Offset-free direct power control of DFIG under continuous-time model predictive control,” IEEE Trans. Power Electron., vol.32, no. 3, pp. 2265-2277, Mar. 2017.

[6] A. Bakouri, H. Mahmoudi, A. Abbou, “Modelling and Optimal Control of the Doubly Fed Induction Generator Wind Turbine System Connected to Utility Grid,” in Proc. IEEE Int, International Renewable and Sustainable Energy Conference (IRSEC), Marrakech, Morocco, Nov. 2016, pp. 1-6.

[7] T. Brekken and N. Mohan, "A novel doubly-fed induction wind generator control scheme for reactive power control and torque pulsation compensation under unbalanced grid voltage conditions", in: IEEE 34th Annual Power Electronics Specialist Conference, vol. 2, pp. 760–764, June 2003.

[8] T. K. A. Brekken, N. Mohan, “Control of a doubly fed induction wind generator under unbalanced grid voltage conditions", IEEE Transaction on Energy Conversion, Acapulco, Mexico, March 2007, pp.129-135.

[9] M. Machmoum, A. Hatoum and T. Bouaouiche, "Flicker mitigation in a doubly fed induction generator wind turbine system,” Mathematics and Computers in Simulation, vol.81, no.2, pp. 433-445, October 2010.

[10] R. Melcio, V. Mendes and J. Catalo, “Comparative study of power converter topologies and control strategies for the harmonic performance of variable-speed wind turbine generator systems,” Energy, vol.36, pp.520-529, January 2011.

[11] F. E. V. Taveiros, L. S. Barros and F. B. Costa, “Back-to-back converter state-feedback control of DFIG (doubly-fed induction generator)-based wind turbines,”Energy, vol. 89, pp. 896-906, September 2015.

[12] M. S. Tavazoei,”From traditional to fractional PI controller,” IEEE Industrial Electronics Magazine, pp.42-51, Sep. 2012.

[13] R. Hammami, I. Ben Ameur and K. Jelassi, “ Performance Evaluation of fractional order controller for Induction Machine control and comparative study between FOC PI & FOC FOPI,” in IEEE,18th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), Monastir, Tunisia, 2017, pp. 272-277.

[14] S. Elmetennani, I. N’Doye, K. N. Salama and T. M. Laleg-Kirati, “Performance Analysis of Fractional-Order PID Controller for a Parabolic Distributed Solar Collector,” 2017 IEEE AFRICON, Cape Town, South Africa, 2017, pp. 461-466.

[15] H. S. Li, Y. Luo and Y. Q. Chen,”A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments,” IEEE Transactions on control systems technology, vol. 18, no. 2, pp. 516-520, March 2010.

[16] O. P. Bharti, R. K. Saket and S. K. Nagar, “Controller Design For DFIG Driven By Variable Speed Wind Turbine Using Static Output Feedback Technique,” Engineering, Technology & Applied Science Research, vol. 6, no. 4, pp.1056-1061, 2016.

[17] L.M. Fernandez, C.A. Garcia and F. Jurado, “Comparative study on the performance of control systems for doubly fed induction generator (DFIG) wind turbines operating with power regulation,” Energy, vol. 33, pp. 1438–1452, 2008.

[18] I. Podlubny, “Fractional-order systems and PIλDμ-controllers,” IEEE Transactions on Automatic Control, vol. 44, no. 1, pp. 208–214, 1999.

[19] C. Wang, W. Fu, Y. Shi, "An Analytical Design of Fractional Order Proportional Integral Differential Controller for Robust Velocity Servo," 2013 25th Chinese Control and Decision Conference (CCDC), IEEE - 2013, pp. 3359-3362.

[20] C. Y. Wang, Y. Luo, Y. Q. Chen, "An analytical design of Fractional Order Proportional Integral and (Proportional Integral) controllers for robust velocity servo," 2009 4th IEEE Conference on Industrial Electronics and Applications, pp. 329-334.

[21] H. S. Li, Y. Luo and Y. Q. Chen, “A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments,” IEEE Transactions on control systems technology, vol. 18, no. 2, pp. 516-520, March 2010.