Comparison of Two Fractional-Order High-Order SMC Techniques for DFIG-Based Wind Turbines: Theory and Simulation Results

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Nadhim Jbarah
Andrey Mazalov
Habib Benbouhenni
Nicu Bizon

Abstract

Two new nonlinear techniques are proposed in this study for improving the performance and efficiency of the doubly-fed induction generator (DFIG)-based wind turbine systems. Direct torque control (DTC) is among the most widely used strategies for controlling DFIGs due to its many advantages, such as robustness, simplicity, and fast response dynamics. However, this control causes big ripples in both torque and flux. Furthermore, it has significant total harmonic distortion (THD). Several solutions are proposed to overcome these problems, including nonlinear techniques and intelligent strategies such as genetic algorithms. In this work, two different controllers are proposed to improve the performance of the DTC technique. Firstly, the second-order continuous sliding mode (SOCSM) based on fractional-order (FO) control, and secondly, the super twisting algorithm (STA) based on the FO technique. The biggest advantages of the proposed strategies are their durability and ease of execution. Based on the proposed controls, the DTC strategy can greatly improve generator performance in different operating conditions. This paper also provides a comparative analysis of DTC-FOSOCSMC, DTC, and DTC-FOSTA in terms of reference tracking, robustness, chattering reduction, and computational complexity, using mathematical theory and simulation carried out in Matlab/Simulink using a 1.5 MW DFIG-based wind turbine. The simulation results demonstrate the effectiveness and high performance of the proposed DTC techniques.

Article Details

How to Cite
Almakki, A., Mazalov, A., Benbouhenni, H. ., & Bizon, N. (2023). Comparison of Two Fractional-Order High-Order SMC Techniques for DFIG-Based Wind Turbines: Theory and Simulation Results. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 21(2), 249817. https://doi.org/10.37936/ecti-eec.2023212.249817
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Author Biographies

Nadhim Jbarah, the college of engineering, University of Diyala, Iraq.

Ali Nadhim Jbarah Almakki received a B.S. degree in power and electrical machines from the University of Diyala, College of Engineering, Iraq, in 2006; the M.S. degree in electrical engineering from Kazan National Research Technical University named after A. N. Tupolev - KAI, Russia, in 2014, and the Ph.D. degree from Kazan National Research Technical University named after A. N. Tupolev - KAI, Russia, in 2022, where he is currently a Lecturer at the college of engineering, University of Diyala, Iraq. His research interests include wind power systems, power electronics, electrical machines, and control.

Andrey Mazalov

Andrey A. Mazalov received a PhD degree in electrical power and machines from South Federal University in Russia (SFU) in 2013. Area of research interest: power systems simulation, renewable energy technologies, power system stability, Smart Grid and NILM technologies. He has 17 scientific research published in local and international journals. Area editor in EAI Endorsed Transactions on Energy Web journal.

Habib Benbouhenni

H. Benbouhenni was born in Chlef, Algeria. He is a PhD in the Department of Electrical Engineering at the ENPO-MA, Oran, Algeria. He received a M.A. degree in Automatic and informatique industrial in 2017. He is currently a professor at the University of Nisantasi, Turkey. He is editor of seven books and more than 130 papers in scientific fields related to electrical engineering. His research activities include the application of robust control in wind turbine power systems.

Nicu Bizon

Nicu Bizon (Senior Member, IEEE) was born in Albesti de Muscel, Arges county, Romania, 1961. He received the 5 years B.S. degree in electronic engineering from the University “Polytechnic” of Bucharest, Romania, in 1986, and a Ph.D. degree in Automatic Systems and Control from the same university, in 1996. From 1996 to 1989, he was in hardware design with the Dacia Renault SA, Romania. Since 2000, he is professor with the University of Pitesti, Romania. He received two awards from Romanian Academy (in 2013 and 2016) and is doctor honoris causa of the Petroleum-Gas University of Ploiești (2018). He is editor
and authorship of 8 books published in Springer and the author of165 scientific papers published in WoS(citations = 1,546 and h-index= 26), respectively, 249 scientific papers published in Scopus(citations
=2,337 and h-index= 30). His current research interests include power electronic converters, fuel cell and electric vehicles, renewable energy, energy storage system, microgrids, and control and optimization of
these systems.

References

B. Lukutin, K.H. Kadhim, A.N. Jbarah and O.Karrar, “Energy systems modelling and simulation of behavior for AGBWT in isolated network using simulink/MatLab,” Test Eng Manage, vol. 83, no. 5-6, pp. 15245-15249, 2020.

H. Benbouhenni and N. Bizon, “A synergetic sliding mode controller applied to direct field‐oriented control of induction generator‐based variable speed dual‐rotor wind turbines,” Energies, vol. 14, no. 15, pp. 4437, Aug. 2021.

H. Benbouhenni and N. Bizon, “Terminal synergetic control for direct active and reactive powers in asynchronous generator-based dual-rotor wind power systems,” Electronics, vol. 10, no. 16, pp. 1880, Aug. 2021.

H. Benbouhenni and Z. Boudjema, “Two-level DTC based on ANN controller of DFIG using 7-level hysteresis command to reduce flux ripple comparing with traditional command,” In 2018 International Conference on Applied Smart Systems (ICASS), pp. 1-8. IEEE, 2018.

A. Ardjal, M. Bettayeb, R. Mansouri, and A. Mehiri, “Nonlinear synergetic control approach for DcLink voltage regulator of wind turbine DFIG connected to the grid,” in 5th International Conference on Renewable Energy: Generation and Application, (ICREGA 2018), 2018.

P. Xiong and D. Sun, “Backstepping- based DPC strategy of a wind turbine- driven DFIG under Normal and Harmonic Grid Voltage,” IEEE Transactions on Power Electronics, vol. 31, no. 6, pp.4216-4225, 2016.

K. Qingmei, W. Xiangdong, and L. Shujiang, “A novel sliding mode control of doubly-fed induction generator for optimal power extraction,” In 2019 IEEE Innovative Smart Grid Technologies-Asia (ISGT Asia), pp. 1318-1323. IEEE, 2019.

H. Benbouhenni, Z. Boudjema, and A. Belaidi, “Power Control of DFIG in WECS Using DPC and NDPC-NPWM Methods,” Mathematical Modelling of Engineering Problems, vol. 7, no. 2, pp. 223-236, 2020.

R. M. Prasad and M. A. Mulla, “Mathematical modeling and position-sensorless algorithm for statorside field-oriented control of rotor-tied DFIG in rotor flux reference frame,” IEEE Transactions on Energy Conversion, vol. 35, no. 2, pp.631-639, 2020.

M. A. Mossa, T. Duc Do, A. Saad Al-Sumaiti, N. V. Quynh, and A. A. Z. Diab, “Effective model predictive voltage control for a sensorless doubly fed induction generator,” IEEE Canadian Journal of Electrical and Computer Engineering, vol. 44, no. 1, pp.50-64, 2021.

H. Benbouhenni, “Comparison study between seven-level SVPWM and two-level SVPWM strategy in direct vector control of a DFIG-based wind energy conversion systems,” International Journal of Applied Power Engineering (IJAPE), vol. 9, no. 1, pp. 12-21, 2020.

X. Zhu, S. Liu, and Y. Wang, “Second-order slidingmode control of DFIG-based wind turbines,” in IET Conference Publications, 2014, vol. 2014.

L. Xiong, J. Wang, X. Mi, and M. W. Khan, “Fractional order sliding mode based direct power control of grid-connected DFIG,” IEEE Transactions on Power Systems, vol. 33, no. 3, pp. 3087-3096, 2018.

M. Sellah, A. Kouzou, M. Mohamed-Seghir, M. M. Rezaoui, R. Kennel, and M. Abdelrahem, “Improved DTC-SVM based on input-output feedback linearization technique applied on DOEWIM powered by two dual indirect matrix converters,” Energies, vol. 14, no. 18, pp.5625, 2021.

A. Nasr, C. Gu, S. Bozhko, and C. Gerada, “Performance enhancement of direct torque-controlled permanent magnet synchronous motor with a flexible switching table,” Energies, vol. 13, no. 8, pp.1907, 2020.

Y. Zhou, D. Zhang, X. Chen, and Q. Lin, “Sensorless direct torque control for saliency permanent magnet brushless DC motors,” IEEE Transactions on Energy Conversion, vol. 31, no. 2, pp.446-454, 2016.

Z. Zhang, Y. Zhao, W. Qiao, and L. Qu, “A Discretetime direct torque control for direct-drive PMSGbased wind energy conversion systems,” IEEE Transactions on Industry Applications, vol. 51, no. 4, pp. 3504-3514, 2015.

B. Habib, “Comparison study between SVPWM and FSVPWM strategy in fuzzy second order sliding mode control of a DFIG-based wind turbine,” Carpathian Journal of Electronic and Computer Engineering, vol. 12, no. 2, pp. 1-10, 2019.

H. Heidari, A. Rassõlkin, T. Vaimann, A. Kallaste, A. Taheri, M. H. Holakooie and A. Belahcen, “A novel vector control strategy for a six-phase induction motor with low torque ripples and harmonic currents,” Energies, vol. 12, no. 6, pp.1102, 2019.

M. A. Mossa, H. Echeikh, A. A. Z. Diab, H. Haes Alhelou, and P. Siano, “Comparative study of hysteresis controller, resonant controller and direct torque control of five-phase im under open-phase fault operation,” Energies, vol. 14, no. 5, pp.1317, 2021.

Y. Zhou and G. Chen, “Predictive DTC strategy with fault-tolerant function for six-phase and threephase PMSM series-connected drive system,” IEEE Transactions on Industrial Electronics, vol. 65, no. 11, pp. 9101-9112, 2018.

H. Benbouhenni and N. Bizon, “Improved rotor flux and torque control based on the third-order slidingmode scheme applied to the asynchronous generator for the single-rotor wind turbine,” Mathematics, vol. 9, no. 18, pp. 2297 2021.

Y. Farajpour, M. Alzayed, H. Chaoui, and S. Kelouwani, “A novel switching table for a modified three-level inverter-fed DTC drive with torque and flux ripple minimization,” Energies, vol. 13, no. 18, pp. 4646, 2020.

Z. Zhou, X. Gu, Z. Wang, G. Zhang, and Q. Geng, “An improved torque control strategy of PMSM drive considering on-line MTPA operation,” Energies, vol. 12, no. 15, pp. 2951, 2019.

Q. Song, Y. Li, and C. Jia, “A novel direct torque control method based on asymmetric boundary layer sliding mode control for PMSM,” Energies, vol. 11, no. 3, pp. 657, 2018.

G. Q. Bao, W. Qi, and T. He, “Direct torque control of PMSM with modified finite set model predictive control,” Energies, vol. 13, no. 1, pp. 234, 2020.

W. Ayrir, M. Ourahou, B. el Hassouni, and A. Haddi, “Direct torque control improvement of a variable speed DFIG based on a fuzzy inference system,”Mathematics and Computers in Simulation, vol. 167, pp. 308-324, 2020.

F. Mehedi, H. Benbouhenni, L. Nezli, and D. Boudana, “Feedforward neural network-DTC of multi-phase permanent magnet synchronous motor using five-phase neural space vector pulse width modulation strategy,” Journal Europeen des Systemes Automatises, vol. 54, no. 2, pp. 345-354, 2021.

F. Mehedi, A. Yahdou, A. B. Djilali, and H. Benbouhenni, “Direct torque fuzzy controlled drive for multi-phase IPMSM based on SVM technique,” Journal Europeen des Systemes Automatises, vol. 53, no. 2, pp. 259-266, 2020.

H. Benbouhenni, “Utilization of an ANFIS-STSM algorithm to minimize total harmonic distortion,” International Journal of Smart grid, vol. 4, no. 2, pp. 56-67, 2020.

H. Benbouhenni, “Torque ripple reduction of DTC DFIG drive using neural PI regulators,” Majlesi Journal of Energy Management, vol. 8, no. 2, pp. 21–26, Jun. 2019.

Boudjema, R. Taleb, Y. Djeriri, and A. Yahdou, “A novel direct torque control using second order continuous sliding mode of a doubly fed induction generator for a wind energy conversion system,” Turkish Journal of Electrical Engineering and Computer Sciences, vol. 25, no. 2, pp. 965-975, 2017.

H. Benbouhenni and N. Bizon, “Advanced direct vector control method for optimizing the operation of a double-powered induction generator-based dual-rotorwind turbine system,” Mathematics, vol. 9, no. 19, pp. 2403, 2021.

A. N. J. Almakki and A. A. Mazalov, “Application of fractional-order second-order continuous sliding mode controller in direct flux and torque control system of doubly-fed induction generator integratedto wind turbine: simulation studies,” Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S. O. Makarova, vol. 13, no. 6, pp. 887–907, Dec. 2021.

A. N. J. Almakki and A. A. Mazalov, “Improving the efficiency of direct flux and torque control technology for doubly-fed induction generator with a robust control using modified super-twisting algorithms,” Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S. O. Makarova, vol. 13, no. 4, pp. 586–603, Aug. 2021.

H. Benbouhenni, “Direct vector control for doubly fed induction generator-based wind turbine system using five-level NSVM and two-level NSVM technique,” International Journal of Smart Grid, vol. 3, no. 1, pp. 25-32, 2019.

A. Azimi, F. Bakhtiari-Nejad, and W. Zhu, “Fractional-order control with second-order sliding mode algorithm and disturbance estimation for vibration suppression of marine riser,” Journal of the Franklin Institute, vol. 358, no. 13, pp. 6545-6565 2021.

A. P. Shah and A. J. Mehta, “Direct power control of DFIG using super-twisting algorithm based on second-order sliding mode control,” in 2016 14th International Workshop on Variable Structure Systems, pp. 136-141, 2016.

A. N. J. Almakki and A. Mazalov, “Improved DFIG DFTC by using a fractional-order super twisting algorithms in wind power application,” Modern Transportation Systems and Technologies, vol. 7, no. 3, pp. 131-149, 2021.

N. A. Yusoff, A. M. Razali, K. A. Karim, T. Sutikno, and A. Jidin, “A concept of virtual-flux direct power control of three-phase AC-DC converter,” International Journal of Power Electronics and Drive Systems, vol. 8, no. 4, pp. 1776, 2017.

F. Amrane, B. Francois, and A. Chaiba, “Experimental investigation of efficient and simple windturbine based on DFIG-direct power control using LCL-filter for stand-alone mode,” ISA Transactions, 2021.

I. Yaichi, A. Semmah, P. Wira, and Y. Djeriri, “Super-twisting sliding mode control of a doublyfed induction generator based on the SVM Strategy,” Periodica polytechnica Electrical engineering and computer science, vol. 63, no. 3, pp. 178-190, 2019.

A. Yahdou, B. Hemici, and Z. Boudjema, “Second order sliding mode control of a dual-rotor wind turbine system by employing a matrix converter,” Journal of Electrical Engineering, vol. 16, no. 3, pp. 11-11, 2016.

F. Amrane and A. Chaiba, “A novel direct power control for grid-connected doubly fed induction generator based on hybrid artificial intelligent control with space vector modulation,” Revue Roumaine des Sciences Techniques Serie Electrotechnique et

Energetique, vol. 61, no. 3, 2016.

Y. Quan, L. Hang, Y. He, and Y. Zhang, “Multiresonant-based sliding mode control of DFIG-basedwind system under unbalanced and harmonic network conditions,” Applied Sciences, vol. 9, no. 6, pp. 1124, 2019.

Z. Boudjema, A. Meroufel, Y. Djerriri and E. Bounadja, “Fuzzy sliding mode control of a doubly fed induction generator for wind energy conversion,” Carpathian Journal of Electronic and Computer Engineering, vol. 6, no. 2, pp. 7, 2013.

H. Benbouhenni and N. Bizon, “Third-order sliding mode applied to the direct field-oriented control of the asynchronous generator for variable-speed contra-rotating wind turbine generation systems,” Energies, vol. 14, no. 18, pp. 5877, 2021.