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Wind Power Extraction Optimization by Dynamic Gain Scheduling Approximation Based on Non-Linear Functions for a WECS Based on a PMSG

Author

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  • José Genaro González-Hernández

    (Instituto Tecnológico de Ciudad Madero, Tecnológico Nacional de México, Av. Primero de Mayo, Ciudad Madero 89440, Tamaulipas, Mexico
    Departamento de Energías Renovables, Universidad Tecnológica de Altamira, Altamira 89603, Tamaulipas, Mexico)

  • Rubén Salas-Cabrera

    (Instituto Tecnológico de Ciudad Madero, Tecnológico Nacional de México, Av. Primero de Mayo, Ciudad Madero 89440, Tamaulipas, Mexico)

Abstract

Mathematical models and algorithms for maximizing power extraction have become an essential topic in renewable energies in the last years, especially in wind energy conversion systems. This study proposes maximum power point tracking using gain scheduling approximations for an emulated wind system in a direct-drive connection. Power extraction is obtained by controlling the duty cycle of a Multilevel Boost Converter, which directly varies the rotational speed of a permanent magnet synchronous generator directly coupled to a three-phase induction motor that emulates the wind turbine. The system’s complexity is linked to the inherent non-linearities associated with the diverse electrical, mechanical, and power electronic elements. In order to present a synthesized model without losing the system dynamic richness, several physical tests were made to obtain parameters for building several mathematical approaches, resulting in non-linear dynamic equations for the controller gains, which are dependant on wind speed. Thirty real operational wind speeds considering typical variations were used in several tests to demonstrate the mathematical models’ performance. Results among these gain scheduling approaches and a typical controller constant gains mathematical model were compared based on standard deviations, absolute error, and the time for reaching the optimum generator angular speed related to every wind speed.

Suggested Citation

  • José Genaro González-Hernández & Rubén Salas-Cabrera, 2021. "Wind Power Extraction Optimization by Dynamic Gain Scheduling Approximation Based on Non-Linear Functions for a WECS Based on a PMSG," Mathematics, MDPI, vol. 9(17), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2028-:d:620655
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    References listed on IDEAS

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    1. Karabacak, Murat, 2019. "A new perturb and observe based higher order sliding mode MPPT control of wind turbines eliminating the rotor inertial effect," Renewable Energy, Elsevier, vol. 133(C), pages 807-827.
    2. Abdelhak Dida & Djilani Ben Attous, 2017. "Adaptive hill-climb searching method for MPPT algorithm based DFIG system using fuzzy logic controller," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 424-434, January.
    3. Yarmohammadi, Mohammad J. & Sadeghzadeh, Arash & Taghizadeh, Mostafa, 2020. "Gain-scheduled control of wind turbine exploiting inexact wind speed measurement for full operating range," Renewable Energy, Elsevier, vol. 149(C), pages 890-901.
    4. Bundi, Josephat Machoka & Ban, Xiaojun & Wekesa, David Wafula & Ding, Shuchen, 2020. "Pitch control of small H-type Darrieus vertical axis wind turbines using advanced gain scheduling techniques," Renewable Energy, Elsevier, vol. 161(C), pages 756-765.
    5. Zerrahn, Alexander & Schill, Wolf-Peter & Kemfert, Claudia, 2018. "On the economics of electrical storage for variable renewable energy sources," European Economic Review, Elsevier, vol. 108(C), pages 259-279.
    6. Mousa, Hossam H.H. & Youssef, Abdel-Raheem & Mohamed, Essam E.M., 2020. "Hybrid and adaptive sectors P&O MPPT algorithm based wind generation system," Renewable Energy, Elsevier, vol. 145(C), pages 1412-1429.
    7. Li, Xingshuo & Wen, Huiqing & Hu, Yihua & Jiang, Lin, 2019. "A novel beta parameter based fuzzy-logic controller for photovoltaic MPPT application," Renewable Energy, Elsevier, vol. 130(C), pages 416-427.
    8. Chen, Jian & Yao, Wei & Zhang, Chuan-Ke & Ren, Yaxing & Jiang, Lin, 2019. "Design of robust MPPT controller for grid-connected PMSG-Based wind turbine via perturbation observation based nonlinear adaptive control," Renewable Energy, Elsevier, vol. 134(C), pages 478-495.
    9. Willis, D.J. & Niezrecki, C. & Kuchma, D. & Hines, E. & Arwade, S.R. & Barthelmie, R.J. & DiPaola, M. & Drane, P.J. & Hansen, C.J. & Inalpolat, M. & Mack, J.H. & Myers, A.T. & Rotea, M., 2018. "Wind energy research: State-of-the-art and future research directions," Renewable Energy, Elsevier, vol. 125(C), pages 133-154.
    10. Satué, Manuel G. & Castaño, Fernando & Ortega, Manuel G. & Rubio, Francisco R., 2020. "Power feedback strategy based on efficiency trajectory analysis for HCPV sun tracking," Renewable Energy, Elsevier, vol. 161(C), pages 65-76.
    11. Zhijie Liu & Kejun Li & Yuanyuan Sun & Jinyu Wang & Zhuodi Wang & Kaiqi Sun & Meiyan Wang, 2018. "A Steady-State Analysis Method for Modular Multilevel Converters Connected to Permanent Magnet Synchronous Generator-Based Wind Energy Conversion Systems," Energies, MDPI, vol. 11(2), pages 1-31, February.
    12. Praene, Jean Philippe & Fakra, Damien Ali Hamada & Benard, Fiona & Ayagapin, Leslie & Rachadi, Mohamed Nasroudine Mohamed, 2021. "Comoros’s energy review for promoting renewable energy sources," Renewable Energy, Elsevier, vol. 169(C), pages 885-893.
    13. Jenniches, Simon, 2018. "Assessing the regional economic impacts of renewable energy sources – A literature review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 93(C), pages 35-51.
    14. Diego Calabrese & Gioacchino Tricarico & Elia Brescia & Giuseppe Leonardo Cascella & Vito Giuseppe Monopoli & Francesco Cupertino, 2020. "Variable Structure Control of a Small Ducted Wind Turbine in the Whole Wind Speed Range Using a Luenberger Observer," Energies, MDPI, vol. 13(18), pages 1-23, September.
    15. Mokhtari, Yacine & Rekioua, Djamila, 2018. "High performance of Maximum Power Point Tracking Using Ant Colony algorithm in wind turbine," Renewable Energy, Elsevier, vol. 126(C), pages 1055-1063.
    16. Youssef, Abdel-Raheem & Mousa, Hossam H.H. & Mohamed, Essam E.M., 2020. "Development of self-adaptive P&O MPPT algorithm for wind generation systems with concentrated search area," Renewable Energy, Elsevier, vol. 154(C), pages 875-893.
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