A Novel Adaptive Third-Order Continuous Super-Twisting Controller of a Five Phase Permanent Magnet Synchronous Wind Generator

References

• Y. Zhou, D. Zhu, X. Zou, C. He, J. Hu and Y. Kang, “Adaptive temporary frequency support for DFIG-based wind turbines,” IEEE Trans. Energy Convers., vol. 38, no. 3, pp. 1937–1949, 2023. DOI: 10.1109/TEC.2023.3247034.
   Web of Science ®Google Scholar
• H. Benbouhenni, N. Bizon, I. Colak, M. I. Mosaad and M. Yessef, “Direct active and reactive powers control of double-powered asynchronous generators in multi-rotor wind power systems using modified synergetic control,” Energy Reports, vol. 10, pp. 4286–4301, 2023. DOI: 10.1016/j.egyr.2023.10.085.
   Web of Science ®Google Scholar
• K. Sara, I. Khoukha, B. El Madjid, H. Benbouhenni and A. Emad, “A direct vector control based on modified SMC theory to control the double-powered induction generator-based variable-speed contra-rotating wind turbine systems,” Energy Reports, vol. 8, pp. 15057–15066, 2022. DOI: 10.1016/j.egyr.2022.11.052.
   Web of Science ®Google Scholar
• H. Gasmi, H. Benbouhenni, S. Mendaci and I. Colak, “A new scheme of the fractional-order super twisting algorithm for asynchronous generator-based wind turbine,” Energy Reports, vol. 9, pp. 6311–6327, 2023. DOI: 10.1016/j.egyr.2023.05.267.
   Web of Science ®Google Scholar
• H. Geng, L. Liu and R. Li, “Synchronization and reactive current support of PMSG-based wind farm during severe grid fault,” IEEE Trans. Sustain. Energy, vol. 9, no. 4, pp. 1596–1604, 2018. DOI: 10.1109/TSTE.2018.2799197.
   Web of Science ®Google Scholar
• J. Taghinezhad and S. Sheidaei, “Prediction of operating parameters and output power of ducted wind turbine using artificial neural networks,” Energy Reports, vol. 8, pp. 3085–3095, 2022. DOI: 10.1016/j.egyr.2022.02.065.
   Web of Science ®Google Scholar
• M. F. M. Arani, Y. A. Mohamed and I. R, “Assessment and enhancement of a full-scale PMSG-based wind power generator performance under faults,” IEEE Trans. Energy Convers., vol. 31, no. 2, pp. 728–739, 2016. DOI: 10.1109/TEC.2016.2526618.
   Web of Science ®Google Scholar
• M. Masoumi, “Machine learning solutions for offshore wind farms: a review of applications and impacts,” JMSE, vol. 11, no. 10, pp. 1855, 2023. DOI: 10.3390/jmse11101855.
   Google Scholar
• Y. Soufi, S. Kahla and M. Bechouat, “Feedback linearization control based particle swarm optimization for maximum power point tracking of wind turbine equipped by PMSG connected to the grid,” Int. J. Hydrogen Energy, vol. 41, no. 45, pp. 20950–20955, 2016. DOI: 10.1016/j.ijhydene.2016.06.010.
   Web of Science ®Google Scholar
• M. Ayadi and N. Derbel, “Nonlinear adaptive backstepping control for variable-speed wind energy conversion system-based permanent magnet synchronous generator,” Int. J. Adv. Manuf. Technol., vol. 92, no. 1-4, pp. 39–46, Sep 2017. DOI: 10.1007/s00170-017-0098-3.
   Web of Science ®Google Scholar
• F. Zishan, L. Tightiz, J. Yoo and N. Shafaghatian, “Sustainability of the permanent magnet synchronous generator wind turbine control strategy in on-grid operating modes,” Energies, vol. 16, no. 10, pp. 4108, 2023. DOI: 10.3390/en16104108.
   Web of Science ®Google Scholar
• Z. Zhang, Y. Zhao, Q. Wang and L. Qu, “A discrete-time direct torque control for direct-drive PMSG-based wind energy conversion systems,” IEEE Trans. Ind. Appl., vol. 51, no. 4, pp. 3504–3514, 2015. DOI: 10.1109/TIA.2015.2413760.
   Web of Science ®Google Scholar
• E. Bounadja, Z. Boudjema and A. Djahbar, “Direct-power control of a grid-connected five-phase permanent-magnet synchronous generator based on a five-to three-phase matrix converter,” J. Elect. Eng. Comput. Sci. (Elektrotehniški Vestnik), vol. 86, no. 1–2, pp. 21–28, 2019.
   Google Scholar
• E. Bounadja, Z. Boudjema and A. Djahbar, “A new DPC-SVM for matrix converter used in wind energy conversion system based on multiphase permanent magnet synchronous generator,” Iran J. Elect. Electr. Eng. (IJEEE), vol. 03, pp. 352–363, 2019. DOI: 10.22068/IJEEE.15.3.352.
   Google Scholar
• L. Chen, Y. Min, Y. Dai and M. Wang, “Stability mechanism and emergency control of power system with wind power integration,” IET Renew. Power Generat., vol. 11, no. 1, pp. 3–9, 2017. DOI: 10.1049/iet-rpg.2016.0147.
   Web of Science ®Google Scholar
• C. Chatri, M. Labbadi and M. Ouassaid, “Improved high-order integral fast terminal sliding mode-based disturbance-observer for the tracking problem of PMSG in WECS,” Int. J. Elect. Power Energy Syst., vol. 144, pp. 108514, 2023. DOI: 10.1016/j.ijepes.2022.108514.
   Web of Science ®Google Scholar
• S. M. Mozayan, S. Saad, H. Vahedi, H. Handy Fortin-Blanchette and M. Soltani, “Sliding mode control of PMSG wind turbine based on enhanced exponential reaching law,” IEEE Trans. Ind. Electron., vol. 63, no. 10, pp. 6148–6159, 2016. DOI: 10.1109/TIE.2016.2570718.
   Web of Science ®Google Scholar
• S. E. Rhaili, A. Abdou, S. Marhraoui, R. Moutchou and N. El Hichami, Mohammed V University in Rabat., “Robust sliding mode control with five sliding surfaces of five-phase PMSG based variable speed wind energy conversion system,” IJIES, vol. 13, no. 4, pp. 346–357, 2020. DOI: 10.22266/ijies2020.0831.30.
   Google Scholar
• Mousa, H. H. H. Youssef, A.-R. Mohamed, E. and E. M., “Optimal power extraction control schemes for five-phase PMSG based wind generation systems,” Eng. Sci. Technol. Int. J., vol. 23, no. 1, pp. 144–155, 2020. DOI: 10.1016/j.jestch.2019.04.004.
   Google Scholar
• S. Huang, et al., “A fixed-time fractional-order sliding mode control strategy for power quality enhancement of PMSG wind turbine,” Int. J. Elect. Power Energy Syst., vol. 134, pp. 107354, 2022. DOI: 10.1016/j.ijepes.2021.107354.
   Web of Science ®Google Scholar
• Y. Mousavi, G. Bevan, I. B. Küçükdemiral and A. Fekih, “Maximum power extraction from wind turbines using a fault-tolerant fractional-order nonsingular terminal sliding mode controller,” Energies, vol. 14, no. 18, pp. 5887, 2021. DOI: 10.3390/en14185887.
   Web of Science ®Google Scholar
• M. S. Zanjani and S. Mobayen, “Anti-sway control of offshore crane on surface vessel using global sliding mode control,” Int. J. Control, vol. 95, no. 8, pp. 2267–2278, 2022. DOI: 10.1080/00207179.2021.1906447.
   Web of Science ®Google Scholar
• C. Chatri, M. Ouassaid, M. Labbadi and Y. Errami, “Integral-type terminal sliding mode control approach for wind energy conversion system with uncertainties,” Comput. Elect. Eng., vol. 99, pp. 107775, 2022. DOI: 10.1016/j.compeleceng.2022.107775.
   Web of Science ®Google Scholar
• C. Chen and H. Yu, “Backstepping sliding mode control of induction motor based on disturbance observer,” IET Electr. Power App., vol. 14, no. 12, pp. 2537–2546, 2020. DOI: 10.1049/iet-epa.2020.0485.
   Web of Science ®Google Scholar
• S. E. Rhaili, A. A. S. Marhraoui, N. El Hichami and R. Moutchou, “Optimal power generation control of 5-phase PMSG based WECS by using enhanced fuzzy fractional order SMC,” Int. J. Intell. Eng. Syst., vol. 15, no. 2, pp. 572–583, 2022. DOI: 10.22266/ijies2022.0430.51.
   Google Scholar
• M. A. Khan, Q. Khan, L. Khan, I. Khan, A. A. Alahmadi and N. Ullah, “Robust differentiator-based neuro fuzzy sliding mode control strategies for PMSG-WECS,” Energies, vol. 15, no. 19, pp. 7039, 2022. DOI: 10.3390/en15197039.
   Web of Science ®Google Scholar
• B. Yang, et al., “Passivity-based sliding-mode control design for optimal power extraction of a PMSG based variable speed wind turbine,” Renewable Energy, vol. 119, pp. 577–589, 2018. DOI: 10.1016/j.renene.2017.12.047.
   Web of Science ®Google Scholar
• Mousa, H. H. H. Youssef, A. Mohamed, E. and E. M., “Model predictive speed control of five-phase permanent magnet synchronous generator-based wind generation system via wind-speed estimation,” Int. Trans. Electr. Energ. Syst., vol. 29, no. 5, pp. e2826, 2019. DOI: 10.1002/2050-7038.2826.
   Web of Science ®Google Scholar
• L. He, F. Wang and D. Ke, “FPGA-based sliding-mode predictive control for PMSM speed regulation system using an adaptive ultralocal model,” IEEE Trans. Power Electron., vol. 36, no. 5, pp. 5784–5793, 2021. DOI: 10.1109/TPEL.2020.3028545.
   Web of Science ®Google Scholar
• M. Nasiri, S. Mobayen and A. Arzani, “PID-type terminal sliding mode control for permanent magnet synchronous generator-based enhanced wind energy conversion systems,” Csee Jpes., vol. 8, no. 4, pp. 993–1003, 2021. DOI: 10.17775/CSEEJPES.2020.06590.
   Google Scholar
• E. H. Dursun and A. A. Kulaksiz, “Second-order sliding mode voltage-regulator for improving MPPT efficiency of PMSG-based WECS,” Int. J. Elect. Power Energy Syst., vol. 121, pp. 106149, 2020. DOI: 10.1016/j.ijepes.2020.106149.
   Web of Science ®Google Scholar
• L. Ma, Y. Zhang, X. Yang, S. Ding and L. Dong, “Quasi-continuous second-order sliding mode control of buck converter,” IEEE Access, vol. 6, no. 18, pp. 17859–17867, 2018. DOI: 10.1109/ACCESS.2018.2795027.
   Google Scholar
• J. A. Moreno and M. Osorio, “Strict Lyaponuv functions for the super-twisting algorithm,” IEEE Trans. Automat. Contr., vol. 57, no. 4, pp. 1035–1040, 2012. DOI: 10.1109/TAC.2012.2186179.
   Web of Science ®Google Scholar
• B. Beltran, M. E. H. Benbouzid and T. Ahmed-Ali, “Second-order sliding mode control of a doubly fed induction generator driven wind turbine,” IEEE Trans. Energy Conver., vol. 27, no. 2, pp. 261–269, 2012. DOI: 10.1109/TEC.2011.2181515.
   Web of Science ®Google Scholar
• Q. Yun, X. Wang, C. Yao, W. Zhuang, M. Shao and H. Gao, “A second-order sliding mode voltage controller with fast convergence for a permanent magnet synchronous generator system,” Processes, vol. 12, no. 1, pp. 71, 2023. DOI: 10.3390/pr12010071.
   Web of Science ®Google Scholar
• L. Xiong, P. Li, M. Ma, Z. Wang and J. Wang, “Output power quality enhancement of PMSG with fractional order sliding mode control,” Int. J. Elect. Power Energy Syst., vol. 115, pp. 105402, 2020. DOI: 10.1016/j.ijepes.2019.105402.
   Web of Science ®Google Scholar
• Z. Liao, Y. Hao, T. Guo, B. Lv and Q. Wang, “Second-order sliding mode control of permanent magnet synchronous motor based on singular perturbation,” Energies, vol. 15, no. 21, pp. 8028, 2022. DOI: 10.3390/en15218028.
   Web of Science ®Google Scholar
• N. Nasiri, S. Mobayen and Q. Min Zhu, “Super-twisting sliding mode control for gearless PMSG-based wind turbine,” Complexity, vol. 2019, pp. 1–15, 2019. DOI: 10.1155/2019/6141607.
   Web of Science ®Google Scholar
• A. Guettab, E. Bounadja, Z. Boudjema and R. Taleb, “Third-order super-twisting control of a double stator asynchronous generator integrated in a wind turbine system under single-phase open fault,” Circuit Theory App., vol. 51, no. 4, pp. 1858–1878, 2023. DOI: 10.1002/cta.3511.
   Web of Science ®Google Scholar
• S. Kadi, H. Benbouhenni, E. Abdelkarim, K. Imarazene and E. Berkouk, “Implementation of third-order sliding mode for power control and maximum power point tracking in DFIG-based wind energy systems,” Energy Reports, vol. 10, pp. 3561–3579, 2023. DOI: 10.1016/j.egyr.2023.09.187.
   Web of Science ®Google Scholar
• H. Benbouhenni and N. Bizon, “Improved rotor flux and torque control based on the third-order sliding mode scheme applied to the asynchronous generator for the single-rotor wind turbine,” Mathematics, vol. 9, no. 18, pp. 2297, 2021. DOI: 10.3390/math9182297.
   Web of Science ®Google Scholar
• 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. DOI: 10.3390/en14185877.
   Web of Science ®Google Scholar
• T. Zhang, Z. Xu, J. Li, H. Zhang and C. Gerada, “A third-order super-twisting extended state observer for dynamic performance enhancement of sensorless IPMSM drives,” IEEE Trans. Ind. Electron., vol. 67, no. 7, pp. 5948–5958, 2020. DOI: 10.1109/TIE.2019.2959498.
   Web of Science ®Google Scholar
• G. Wang, B. Wang and C. Zhang, “Fixed-time third-order super-twisting-like sliding mode motion control for piezoelectric nanopositioning stage,” Mathematics, vol. 9, no. 15, pp. 1770, 2021. DOI: 10.3390/math9151770.
   Web of Science ®Google Scholar
• K. Walid, M. Sofiane, H. Benbouhenni, G. Hamza and T. Es-Saadi, “Application of third-order sliding mode controller to improve the maximum power point for the photovoltaic system,” Energy Rep., vol. 9, pp. 5372–5383, 2023. DOI: 10.1016/jegyr.2023.04.366.
   Web of Science ®Google Scholar
• Y. Shtessel, L. Fridman and F. Plestan, “Adaptive sliding mode control and observation,” Int. J. Control., vol. 89, no. 9, pp. 1743–1746, 2016. DOI: 10.1080/00207179.2016.1194531.
   Web of Science ®Google Scholar
• S. W. Lee and K. H. Chun, “Adaptive sliding mode control for PMSG wind turbine systems,” Energies, vol. 12, no. 4, pp. 595, 2019. DOI: 10.3390/en12040595.
   Web of Science ®Google Scholar
• C. Zhang and F. Plestan, “Adaptive sliding mode control of floating offshore wind turbine equipped by permanent magnet synchronous generator,” Wind Energy, vol. 24, no. 7, pp. 754–769, 2021. DOI: 10.1002/we.2601.
   Web of Science ®Google Scholar
• Y. Shtessel, M. Taleb and F. Plestan, “A novel adaptive-gain supertwisting sliding mode controller: methodology and application,” Automatica, vol. 48, no. 5, pp. 759–769, 2012. DOI: 10.1016/j.automatica.2012.02.024.
   Web of Science ®Google Scholar
• X. Xiong, S. Kamal and S. Jin, “Adaptive gains to super-twisting technique for sliding mode design,” Asian J. Control, vol. 23, no. 1, pp. 362–373, 2021. DOI: 10.1002/asjc.2202.
   Web of Science ®Google Scholar
• A. Yahdou, A. B. Djilali, Z. Boudjema and F. Mehedi, “Using adaptive second order sliding mode to improve power control of a counter-rotating wind turbine under grid disturbances,” EJEE, vol. 22, no. 6, pp. 427–434, 2020. DOI: 10.18280/ejee.220604.
   Google Scholar
• A. Ullah, l Khan, q Khan and S. Ahmad, “Variable gain high order sliding mode control approaches for PMSG based variable speed wind energy conversion system,” Turk. J. Elec. Eng. Comp. Sci., vol. 28, no. 5, pp. 2997–3012, 2020. Article 41. DOI: 10.3906/elk-1909-69.
   Web of Science ®Google Scholar
• M. Van, S. S. Ge and H. Ren, “Robust fault-tolerant control for a class of second-order nonlinear systems using an adaptive third-order sliding mode control,” IEEE Trans. Syst. Man. Cybern. Syst., vol. 47, no. 2, pp. 1–8, 2016. DOI: 10.1109/TSMC.2016.2557220.
   Web of Science ®Google Scholar
• A. Guettab, Z. Boudjema, E. Bounadja and R. Taleb, “Improved control scheme of a dual star induction generator integrated in a wind turbine system in normal and open-phase fault mode,” Energy Reports, vol. 8, pp. 6866–6875, 2022. DOI: 10.1016/j.egyr.2022.05.048.
   Web of Science ®Google Scholar
• Mousa, H. H. H. Youssef, A. R. Mohamed, E. and E. M., “Variable step size P&O MPPT algorithm for optimal power extraction of multi-phase PMSG based wind generation system,” Int. J. Elect. Power Energy Syst., vol. 108, pp. 218–231, 2019. DOI: 10.1016/j.ijepes.2018.12.044.
   Web of Science ®Google Scholar
• A. Levant, “Sliding order and slinding accuracy in sliding mode control,” Int. J. Control., vol. 58, no. 6, pp. 1247–1263, 1993. DOI: 10.1080/00207179308923053.
   Web of Science ®Google Scholar
• S. Kamal, A. Chalanga, J. A. Moreno, L. Fridman and B. Bandyopadhyay, Higher order super-twisting algorithm. In: 13th IEEE Workshop on Variable Structure Systems (VSS). Nantes, France, 22 Jun -29 July, 2014.
   Google Scholar
• A. Chalanga, W. Chen, L. Fridman, B. Bandyopadhyay and J. A. Moreno, “Implementation of super-twisting control: super-twisting and higher order sliding-mode observer-based approaches,” IEEE Trans. Ind. Electron., vol. 63, no. 6, pp. 3677–3685, 2016. DOI: 10.1109/TIE.2016.2523913.
   Web of Science ®Google Scholar
• H. Salime, B. Bossoufi, S. Motahhir and Y. ElMourabit, “A novel combined FFOC-DPC control for wind turbine based on the permanent magnet synchronous generator,” Energy Reports, vol. 9, pp. 3204–3221, 2023. DOI: 10.1016/j.egyr.2023.02.012.
   Web of Science ®Google Scholar
• A. Beddar, H. Bouzekri, B. Babes and H. Afghoul, “Experimental enhancement of fuzzy fractional order PI + I controller of grid connected variable speed wind energy conversion system,” Energy Convers. Manage., vol. 123, pp. 569–580, 2016. DOI: 10.1016/j.enconman.2016.06.070.
   Web of Science ®Google Scholar
• Y. Ihedrane, C. Bekkali, M. Ghamrasni, S. Mensou and B. Bossoufi, “Improved wind system using non-linear power control,” Indones. J. Electr. Eng. Comput. Sci., vol. 14, no. 3, pp. 1148–1158, 2019. DOI: 10.11591/ijeecs.v14.i3.pp1148-1158.
   Google Scholar