Design of Optimized Sliding Mode Control to Improve the Dynamic Behavior of PMSG Wind Turbine with NPC Back-to-Back Converter

Amir Golshani(1*), Mohsen Alizadeh Bidgoli(2), S. M. Taghi Bathaee(3)

(1) South Dakota State University, Brookings, SD, USA., United States
(2) K. N. Toosi University of Technology, Tehran, Iran., Iran, Islamic Republic of
(3) K. N. Toosi University of Technology, Tehran, Iran., Iran, Islamic Republic of
(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


Recently, the Permanent Magnet Synchronous Generator (PMSG) has drawn more interest because of its simple structure, higher efficiency and better controllability. In this study, first, the PMSG dynamic model together with three levels NPC back-to-back converter, using the state-space averaging technique, is developed. Then, a sliding mode control strategy is proposed to achieve control of active and reactive powers exchanged between the stator of the PMSG and the grid. The sliding surfaces are introduced and zero dynamic of the closed-loop system is analyzed. Furthermore, PSO algorithm is employed to optimize the parameters of a conventional PI and the proposed sliding mode controllers for PMSG, grid-side and rotor-side converters. At the end, based on optimal values, the appropriateness of two controllers to deal with wind disturbances is evaluated. The simulation results in MATLAB confirmed the good dynamic performance of optimized sliding mode controller to attenuate such disturbances
Copyright © 2013 Praise Worthy Prize - All rights reserved.


PMSG; Back- to-Back Converter- Sliding Mode Control- PSO Optimization

Full Text:



Whei-Min Lin, Chih-Ming Hong ,Ting-Chia Oub, Tai-Ming Chiu, Hybrid intelligent control of PMSG wind generation system using pitch angle control with RBFN, Journal of Energy Conversion and Management, 2011, Vol.52, pp. 1244–1251.

R. MelicioV.M.F. Mendes J.P.S. Catalao, Fractional-order control and simulation of wind energy systems with PMSG/full-power converter topology, Journal of Energy Conversion and Management, 2010, Vol. 51, pp.1250–1258.

Anca D. Hansen, Gabriele Michalke, Modeling and control of variable-speed multi-pole permanent magnet synchronous generator wind turbine, Journal of wind energy, 2008, Vol. 11, n.5, 2008, pp.537-554.

M. G. Molina, A. G. Sanchez, and A. M. Rizzato Lede, Dynamic Modeling of Wind Farms with Variable-Speed Direct-Driven PMSG Wind Turbines, IEEE/PES Transmission and Distribution Conference and Exposition: Latin America (T&D-LA), 2010, pp. 816 – 823.

W. Leithead and B. Connor: ‘Control of variable speed wind turbines: Design task, International J. of Control, 2000, Vol. 73, n.13, pp. 1189–1212.

De Battista, H., R.J. Mantz and C.F. Christiansen, Dynamical Sliding Mode Power Control of Wind Driven Induction Generators, IEEE Transactions on Energy Conversion, 2000, Vol.15, n.4, pp. 451-457.

G. Buja and M. Kazmierkowski, Direct torque control of PWM inverter - fed ac motors - a survey, IEEE Trans. of Ind. Electronics, 2004, Vol.51, pp. 744–757.

Z. Chen, M. Tomita, S. Doki, and S. Okuma: ‘An extended electromotive force model for sensorless control of interior permanent-magnet synchronous motors’, IEEE Trans. Ind. Electronics, 2003, Vol.50, n.2, pp. 288–295.

I. Boldea: ‘Control issues in adjustable speed drives’, IEEE Ind. Electron. Magazine, 2008, Vol.2, n.3, pp. 32–50.

F. Valenciaga and P. F. Puleston: ‘High-Order Sliding Control for a Wind Energy Conversion System Based on a Permanent Magnet Synchronous Generator, IEEE Trans. on Energy Conversion, 2008, Vol. 23, n.3, pp. 860-867.

B. Beltran, T. Ahmed-Ali and M. E. H. Benbouzid: ‘High-Order Sliding-Mode Control of Variable- Speed Wind Turbines’, .IEEE Trans. on Industrial Electronics, 2009, 56, (9), pp. 3314-3321

M.S. Merzoug, H. Benalla and L. Louze: ‘Sliding Mode Control (SMC) Of Permanent Magnet Synchronous Generators (PMSG)’, Journal of Energy Procedia, 2012, Vol.18, pp.43 – 52.

Sakamoto R, Senjyu T, Sakamoto R, Kaneko T, Urasaki N, Takagi T, et al., Output power leveling of wind turbine generator by pitch angle control using H∞ control, IEEE PSCE conference, 2006, pp. 2044–9.

S. Venkatraj and G. Mohan, Modeling of Wind Farms with Variable Speed Direct Driven Permanent Magnet Synchronous Generator Wind Turbines, International Journal of Research and Reviews in Electrical and Computer Engineering, IJRRECE, 2011, Vol.1, n.3, pp.982-990.

WU F., Zhang X.P., Godfrey K., JU P, Small signal stability analysis and optimal control of a wind turbine with doubly fed induction generator, IETGener. Transm.Distrib., 2007, Vol.1, n.5, pp. 751–760.

Wei Qiao, G. K. Venayagamoorthy, and R. G. Harley, Design of optimal PI controllers for doubly fed induction generators driven by wind turbines using particle swarm optimization, International Joint Conference on Neural Networks, 2006, pp. 1982-1987.

Mukhtiar Singh, and Ambrish Chandra, Application of Adaptive Network-Based Fuzzy Inference System for Sensorless Control of PMSG-Based Wind Turbine with Nonlinear-Load-Compensation Capabilities, IEEE Trans. on power electronics, 2011, Vol.26, n.1, pp.165-175.

Andrey C. Lopes, André C. Nascimento, João P. A. Vieira, et al., Reactive Power Control of Direct Drive Synchronous Generators to Enhance the Low Voltage Ride-Through Capability, Bulk Power System Dynamics and Control Symposium (iREP), 2010, pp.1-6.

L. Dalessandro, S. D. Round, J. W. Kolar, Center-point voltage balancing of hysteresis current controlled three-level PWM rectifiers, IEEE Trans on Power Electronics, 2008, Vol.23, n.5, pp. 2477-2488.

A. Yazdani and R. Iravani, A Neutral-Point Clamped Converter System for Direct-Drive Variable-Speed Wind Power Unit, IEEE Trans. on Energy Conversion, 2006, Vol.21, n.2, pp. 596-607.

MengYongQing; Liu Zheng; ShenChuanWen; Liang Yi, Su YanMin; Yu Ting, Study on Mathematical Model and Lyapunov-Based Control for Three-Level NPC Voltage-Source Rectifier, IEEE International Symposium on Industrial Electronics, 2006, Vol.2, pp.1949-1954.

A. Yazdani, R. Iravani, A Generalized State-Space Averaged Model of the Three-Level NPC Converter for Systematic DC-Voltage-Balancer and Current-Controller Design, IEEE Trans. on power Delivery, 2005, Vol.20, n.2, pp. 1105-1114.

Z. Pan et al, Voltage balancing control of diode-clamped multilevel rectifier/inverter systems, IEEE Trans. Ind. Applications, 2005, Vol.41, pp. 1698- 1706.

Ahmed M. Hemeida, Wael A. Farag, and Osama A. Mahgoub, Modeling and Control of Direct Driven PMSG for Ultra Large Wind Turbines, World Academy of Science, Engineering and Technology, 2011, Vol.59, pp. 918-924.

YAN, Z.—JIN, C.—UTKIN, V. I, Sensorless Sliding-Mode Control of Induction Motors, IEEE Trans. Ind. Electronic, 2000, Vol.47, n.6, pp.1286–1297.

H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ:Prentice-Hall, 1995.

H. F. Wang, F. J. Swift, A Unified Model of FACTS Devices in Damping Power System Oscillations Part-1: Single-machine Infinite-bus Power Systems, IEEE Trans. Power Delivery, 1997, Vol. 12, n.2, pp. 941- 946.

Emami, S.A., Poudeh, M.B., Eshtehardiha, S, Particle Swarm Optimization for improved performance of PID controller on Buck converter, IEEE International Conference on Mechatronics and Automation, 2008, pp.520-524.

P. M. Anderson, A. Bose, Stability Simulation of Wind Turbine Systems, IEEE Trans. on Power Apparatus and Systems, 1983, PAS-I02, (12).


  • There are currently no refbacks.

Please send any questions about this web site to
Copyright © 2005-2017 Praise Worthy Prize