State-Space Modeling and Performance Analysis of Variable-Speed Wind Turbine Based on a Model Predictive Control Approach

Authors

  • H. Bassi Electrical Engineering Department, Faculty of Engineering, King Abdulaziz University, Rabigh, Saudi Arabia
  • Y. A. Mobarak Electrical Engineering Department, King Abdulaziz University, Saudi Arabia | Electrical Engineering Department, Aswan University, Egypt
Volume: 7 | Issue: 2 | Pages: 1436-1443 | April 2017 | https://doi.org/10.48084/etasr.1015

Abstract

Advancements in wind energy technologies have led wind turbines from fixed speed to variable speed operation. This paper introduces an innovative version of a variable-speed wind turbine based on a model predictive control (MPC) approach. The proposed approach provides maximum power point tracking (MPPT), whose main objective is to capture the maximum wind energy in spite of the variable nature of the wind’s speed. The proposed MPC approach also reduces the constraints of the two main functional parts of the wind turbine: the full load and partial load segments. The pitch angle for full load and the rotating force for the partial load have been fixed concurrently in order to balance power generation as well as to reduce the operations of the pitch angle. A mathematical analysis of the proposed system using state-space approach is introduced. The simulation results using MATLAB/SIMULINK show that the performance of the wind turbine with the MPC approach is improved compared to the traditional PID controller in both low and high wind speeds.

Keywords:

blades, maximum power point trackers, modeling, predictive control, turbines

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References

P. Kundur, Power Systems Stability and Control, New York: McGraw- Hill, 1994

L. Wang, Model Predictive Control System Design and Implementation using Matlab, Springer Australia, 2009

P. C. Krause, O. Wasynczuk, S. D. Sudhoff, Analysis of Electric Machinery and Drive Systems, Hoboken, NJ: Wiley, 2002 DOI: https://doi.org/10.1109/9780470544167

O. Anaya-Lara, N. Jenkins, J. B. Ekanayake, P. Cartwright, M. Hughes, Wind Energy Generation Modelling and Control, UK: John Wiley and Sons, 2009

N. A. Ahmed, M. Miyatake, A. K. Al-Othman, “Hybrid Solar Photovoltaic/Wind Turbine Energy Generation System with Voltage-Based Maximum Power Point Tracking”, Electric Power Components and Systems, Vol. 37, No. 1, pp. 43–60, 2009 DOI: https://doi.org/10.1080/15325000802322012

G. Michalke, A. Hansen, T. Hartkopf, “Control Strategy of a Variable Speed Wind Turbine with Multi-Pole Permanent Magnet Synchronous Generator”, European Wind Energy Conference EWEC, Milan, Italy, pp. 7–10, May 2007

J. B. Ekanayake, L. Holdsworth, W. XueGuang, N. Jenkins, “Dynamic Modeling of Doubly Fed Induction Generator Wind Turbines”, IEEE Transactions on Power Systems, Vol. 18, No. 2, pp. 803-809, 2003 DOI: https://doi.org/10.1109/TPWRS.2003.811178

T. H. Mohamed, J. Morel, H. Bevrani, T. Hiyama, “Model predictive based load frequency control_design concerning wind turbines”, International Journal of Electrical Power and Energy Systems, Vol. 43, No. 1, pp. 859–867, 2012 DOI: https://doi.org/10.1016/j.ijepes.2012.06.032

C. E. Ugalde-Loo, J. B. Ekanayake, “State-Space Modelling of Variable-Speed Wind Turbines: A Systematic Approach”, IEEE International Conference on Sustainable Energy Technologies (ICSET), Kandy, Sri Lanka, pp. 1–6, 2010 DOI: https://doi.org/10.1109/ICSET.2010.5684454

C. E. Ugalde-Loo, J. B. Ekanayake, N. Jenkins, “State-Space Modeling of Wind Turbine Generators for Power System Studies”, IEEE Transaction on Industry Applications, Vol. 49, No. 1, pp. 223 – 232, 2013 DOI: https://doi.org/10.1109/TIA.2012.2228836

J. Morren and S. W. H. de Haan, “Short-Circuit Current of Wind Turbines With Doubly Fed Induction Generator,” IEEE Transaction Energy Conversion,, Vol. 22, No. 1, pp. 174–180, Mar. 2007 DOI: https://doi.org/10.1109/TEC.2006.889615

M. Chinchilla, S. Arnaltes, J. C. Burgos, “Control of Permanent-Magnet Generators Applied to Variable-Speed Wind Energy Systems Connected to The Grid”, IEEE Transactions on Energy Conversion, Vol. 21, No. 1, pp. 130-135, 2006 DOI: https://doi.org/10.1109/TEC.2005.853735

F. Armansyah, N. Yorino, H. Sasaki, “Robust Synchronous Voltage Sources Designed Controller for Power System Oscillation Damping”, Electrical Power and Energy Systems, Vol. 24, No. 1, pp. 41-49, 2002 DOI: https://doi.org/10.1016/S0142-0615(01)00008-4

D. Q. Dang, Y.Wang, W. Cai, “Nonlinear Model Predictive Control (NMPC) of Fixed Pitch Variable Speed Wind Turbine,” IEEE International Conference on Sustainable Energy Technology, Singapore, pp. 29–33, 2008 DOI: https://doi.org/10.1109/ICSET.2008.4746967

F. Valenciaga, P. F. Puleston, “High-Order Sliding Control for a Wind Energy Conversion System Based on a Permanent Magnet Synchronous Generator”, IEEE Transactions on Energy Conversion, Vol. 23, No. 3, pp. 860–867, 2008 DOI: https://doi.org/10.1109/TEC.2008.922013

Y. Y. Hong, S. D. Lu, C. S. Chiou, “MPPT for PM Wind Generator using Gradient Approximation”, Energy Conversion and Management, Vol. 50, No. 1, pp. 82-89, 2009 DOI: https://doi.org/10.1016/j.enconman.2008.08.035

H. Shayeghi, S. Jalilzadeh, H. A. Shayanfar, A. Safari, “Multi-machine Power System Stabilizers Design using Chaotic Optimization Algorithm”, Energy Conversion and Management, Vol. 51, No. 7, pp. 1572-1580, 2010 DOI: https://doi.org/10.1016/j.enconman.2010.02.015

A. Jeevanandham, K.G. Thanushkodi, “Robust Design of Decentralized Power System Stabilizers using Meta-heuristic Optimization Techniques for Multimachine Systems”, Serbian Journal of Electrical Engineering, Vol. 6, No. 1, pp. 89-103, 2009 DOI: https://doi.org/10.2298/SJEE0901089J

H. M. Hassan, A. L. Eishafei, W. A. Farag, M. S. Saad, “A Robust LMI-based Pitch Controller for Large Wind Turbines”, Renewal Energy, Vol. 44, pp. 63–71, 2012 DOI: https://doi.org/10.1016/j.renene.2011.12.016

Y. Joo, J. Back, “Power Regulation of Variable Speed Wind Turbines using Pitch Control Based on Disturbance Observer”, Journal of Electrical Engineering Technology, No. 7, pp. 273–280, 2012 DOI: https://doi.org/10.5370/JEET.2012.7.2.273

M. Mirzaei, M. Soltani, N. K. Poulsen, H. H. Niemann, “An MPC Approach to Individual Pitch Control of Wind Turbines using Uncertain LIDAR Measurements”, European Control Conference (ECC), Zürich, Switzerland, July 17-19, 2013 DOI: https://doi.org/10.23919/ECC.2013.6669729

M. Soltani, R. Wisniewski, P. Brath, S. Boyd, “Load Reduction of Wind Turbines using Receding Horizon Control”, IEEE Conference on Control Applications, pp. 852–857, 2011 DOI: https://doi.org/10.1109/CCA.2011.6044407

T. Knudsen, B. Thomas, M. Soltani. “Prediction Models for Wind Speed at Turbine Locations in a Wind Farm”, Wind Energy, Vol. 14, No. 7, pp. 877–894, 2011 DOI: https://doi.org/10.1002/we.491

G. Shahgholian, "Development of State Space Model and Control of the STATCOM for Improvement of Damping in A Single-Machine Infinite Bus", International Review of Electric Engineering (IREE), Vol.4, No.6, pp.1367-1375, 2009

W. Chao, Z. Yao, “Approach on Nonlinear Control Theory for Designing STATCOM Controller”, IEEE International Conference on Grey Systems and Intelligent Services, pp. 871-875, 2007

M. Mahdavian, G. Shahgholian, N. Rasti, “Modeling and Damping Controller Design for Static Synchronous Compensator”, 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, pp. 300-304, 2009 DOI: https://doi.org/10.1109/ECTICON.2009.5137013

Y. A. Mobarak, “FACTS Impacts Induction Generator Driven Wind Turbine”, Journal of Engineering Sciences, Vol. 40, No. 4, pp.1157-1178, 2012 DOI: https://doi.org/10.21608/jesaun.2012.114485

S. K. Sethy, J. K. Moharana, “Design, analysis and simulation of linear controller of a STATCOM for reactive power compensation on variation of DC link voltage”, 2013 International Conference on Power, Energy and Control (ICPEC), 6-8 Feb. 2013 DOI: https://doi.org/10.1109/ICPEC.2013.6527627

M. Preindl, S. Bolognani, “Model Predictive Direct Speed Control with Finite Control Set of PMSM Drive Systems”, IEEE Transactions on Power Electronics, Vol. 28, No. 2, pp. 1007-1015, 2013.

T. Geyer, G. Papafotiou, M. Morari, “Model Predictive Direct Torque Control: Implementation and Experimental Evaluation”, IEEE Transactions on Industrial Electronics, Vol. 56, No. 6, pp. 1906–1915, 2009.

Y. Xie, R. Ghaemi, J. Sun, J. S. Freudenberg, “Model Predictive Control for a Full Bridge DC/DC Converter”, IEEE Transactions on Control Systems Technology, Vol. 20, No. 1, pp. 164-172, 2012 DOI: https://doi.org/10.1109/TCST.2011.2107575

M. Darby, M. Nikolau, “MPC Current Practice and Challenges", Control Engineering Practice, No. 20, pp.328-342, 2012 DOI: https://doi.org/10.1016/j.conengprac.2011.12.004

T. Geyer, “Model Predictive Direct Current Control: Formulation of the Stator Current Bounds and the Concept of the Switching Horizon”, IEEE Transactions on Industrial Applied Management, Vol. 18, No. 2, pp. 47–59, 2012 DOI: https://doi.org/10.1109/MIAS.2011.2175518

T. Geyer, “Computationally Efficient Model Predictive Direct Torque Control”, IEEE Transactions on Power Electronics, Vol. 26, No. 10, pp. 2804–2816, 2011 DOI: https://doi.org/10.1109/TPEL.2011.2121921

P. Cortes, J. Rodriguez, C. Silva, A. Flores, “Delay Compensation in Model Predictive Current Control of A Three-Phase Inverter,” IEEE Transactions on Industrial Electronics, Vol. 59, No. 2, pp. 1323–1325, 2012 DOI: https://doi.org/10.1109/TIE.2011.2157284

T. Geyer, “A Comparison of Control and Modulation Schemes for Medium-Voltage Drives: Emerging Predictive Control Concepts Versus PWM-Based Schemes”, IEEE Transaction Industrial Applied, Vol. 47, No. 3, pp. 1380–1389, 2011 DOI: https://doi.org/10.1109/TIA.2011.2127433

J. Scoltock, T. Geyer, U. K. Madawala, “A Comparison of Model Predictive Control Schemes for MV Induction Motor Drives”, IEEE Transactions on Industrial Informatics, Vol. 9, No. 2, pp. 909-919, 2013 DOI: https://doi.org/10.1109/TII.2012.2223706

M. Soliman, O. P. Malik, D. T. Westwick, “Multiple Model Predictive Control for Wind Turbines With Doubly Fed Induction Generators”, IEEE Transactions on Sustainable Energy, Vol. 2, No. 3, pp. 215-225, 2011 DOI: https://doi.org/10.1109/TSTE.2011.2153217

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How to Cite

[1]
H. Bassi and Y. A. Mobarak, “State-Space Modeling and Performance Analysis of Variable-Speed Wind Turbine Based on a Model Predictive Control Approach”, Eng. Technol. Appl. Sci. Res., vol. 7, no. 2, pp. 1436–1443, Apr. 2017.

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