Variable Speed Control of Two-Mass Wind Turbine with Unknown Stiffness

N.S.F. M. Murad, M.N. Kamarudin, S. Md. Rozali, N. M. Shaharudin, A. Khamis, A.R. Husain


This paper presents a variable speed control of two-mass wind turbine with unknown stiffness. The aim of the algorithm is to control rotor speed in order to maintain optimum tip-speed ratio and obtain maximum power output of the turbine with the appearance of unknown stiffness. The algorithm is formulated using full-state feedback which stabilizes in the sense of Lyapunov. Adaptation law is embedded into the variable speed algorithm to assure adaptability towards unknown stiffness. To validate the effectiveness of proposed speed control, a simulation in MATLAB/SIMULINK® is carried out. The results show that optimum tip speed ratio is obtained via the proposed controlled rotor speed regardless.


Lyapunov; Rotor Speed; Stiffness; Variable Speed;

Full Text:



K. Cheng, Z. Wang, Y. He, and G. Yang, “The Comparison of Theoretical Potential Application of Two Types of Wind Turbines in Northern Shaanxi,” Asia-Pacific Power Energy Eng. Conf. APPEEC, pp. 2–5, 2012.

T. Al-Shemmeri, Wind Turbines. T. Al-Shemmeri & Ventus Publishing ApS, 2010.

M. Kamarudin, A. Husain, M. Ahmad, and Z. Mohamed, “Model and Analysis of Wind Speed Profile using Artificial Neural NetworkFeasibility Study in Peninsular Malaysia,” J. Teknol. (Sciences Eng., vol. 74, no. 1, pp. 77–81, 2015.

A. W. Manyonge, R. M. Ochieng, F. N. Onyango, and J. M. Shichikha, “Mathematical Modelling of Wind Turbine in a Wind Energy Conversion System : Power Coefficient Analysis,” Appl. Math. Sci., vol. 6, no. 91, pp. 4527–4536, 2012.

G. Ofualagba and E. Ubeku, “The Modeling and Dynamic Characteristics of a Variable Speed Wind Turbine,” J. Energy Technol. Policy, vol. 1, no. 3, pp. 10–22, 2011.

F. A. Inthamoussou, F. D. Bianchi, H. De Battista, and R. J. Mantz, “LPV wind turbine control with anti-windup features covering the complete wind speed range,” IEEE Trans. Energy Convers., vol. 29, no. 1, pp. 259–266, 2014.

B. Beltran, T. Ahmed-Ali, and M. Benbouzid, “High-Order SlidingMode Control of Variable-Speed Wind Turbines,” IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3314–3321, 2009.

B. Boukhezzar and H. Siguerdidjane, “Nonlinear Control of a Variable-Speed Wind Turbine Using a Two-Mass Model,” IEEE Trans. ENERGY Convers., vol. 26, no. 1, pp. 149–162, 2011.

U. Ozbay, E. Zergeroglu, and S. Sivrioglu, “Adaptive backstepping control of variable speed wind turbines,” Int. J. Control, vol. 81, no. 6, pp. 910–919, 2008.

Y. D. Song, B. Dhinakaran, and X. Y. Bao, “Variable speed control of wind turbines using nonlinear and adaptive algorithms,” J. Wind Eng. Ind. Aerodyn., vol. 85, no. 3, pp. 293–308, 2000.

M. N. Kamarudin, A. R. Husain, M. Noh, and Z. Mohamed, “Development of A Strict Feedback Two-Mass Horizontal Axis Wind Turbine Model With Empirical Power Coefficient And External Stiffness,” J. Adv. Manuf. Technol., vol. 9, no. 1, 2015.

P. Ashwini and T. Archana, “Mathematical Modeling of Wind Energy System Using Two Mass Model Including Generator Losses,” Interrnational J. Emerg. Trends Electr. Electron., vol. 12, pp. 18–23, 2016.

S. Rajendran and D. Jena, “Backstepping Sliding Mode Control for Variable Speed Wind turbine Saravanakumar,” in 2014 Annual IEEE India Conference (INDICON), 2014, no. 2, pp. 1–5.

Z. Zhenyu, S. Yongduan, L. I. Peng, W. Wenliang, and Q. I. N. Ming, “Adaptive and Robust Variable-Speed Control of Wind Turbine Based on Virtual Parameter Approach,” in Proceedings of The 32nd Chinese Control Conference, 2013, pp. 8886–8890.

A. G. Aissaoui, A. Tahour, M. Abid, N. Essounbouli, and F. Nollet, “Power control of wind turbine based on fuzzy controllers,” Energy Procedia, vol. 42, pp. 163–172, 2013.

B. Boukhezzar, L. Lupu, H. Siguerdidjane, and M. Hand, “Multivariable control strategy for variable speed, variable pitch wind turbines,” Renew. Energy, vol. 32, no. 8, pp. 1273–1287, 2007.

V. Calderaro, V. Galdi, A. Piccolo, and P. Siano, “A Fuzzy Controller for Maximum Energy Extraction from Variable Speed Wind Power Generation Systems,” Electr. Power Syst. Res., vol. 78, no. 6, pp. 1109–1118, 2008.

P. M. Anderson and A. Bose, “Stability Simulation of Wind Turine Systems,” IEEE Trans. Power Appar. Syst., vol. PAS-102, no. 12, pp. 3791–3795, 1983.

H. Dharmawardena and K. Uhlen, “Modeling Variable Speed Wind Turbine for Power System Dynamic Studies,” 2015 IEEE Students Conf. Eng. Syst., vol. 2, no. 1, pp. 1–6, 2015.

S. Md. Rozali, M. Nizam Kamarudin, M. F. Rahmat, A. R. Husain, "Asymptotic Tracking Position Control for Nonlinear Systems using BacksteppingTechnique," Procedia Engineering, vol. 53, pp. 255– 263, 2013.

M. Nizam Kamarudin, S. Md.Rozali, A. Rashid HusainObserverBased Output Feedback Control with Linear Quadratic Performance," Procedia Engineering, vol.53, pp. 233–240, 2013.


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

ISSN: 2180-1843

eISSN: 2289-8131