IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i21p7369-d672796.html
   My bibliography  Save this article

Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Author

Listed:
  • Li Yang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
    Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Fuzhao Yang

    (Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Weitao Sheng

    (Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Kun Zhou

    (College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China)

  • Tianmin Huang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

Abstract

To research the chaotic motion problem of the direct-drive permanent magnet synchronous generator (D-PMSG) for a wind turbine with uncertain parameters and fractional order characteristics, a control strategy established upon fuzzy state feedback is proposed. Firstly, according to the working mechanism of D-PMSG, the Lorenz nonlinear mathematical model is established by affine transformation and time transformation. Secondly, fractional order nonlinear systems (FONSs) are transformed into linear sub-model by Takagi–Sugeno (T-S) fuzzy model. Then, the fuzzy state feedback controller is designed through Parallel Distributed Compensation (PDC) control principle to suppress the chaotic motion. By applying the fractional Lyapunov stability theory (FLST), the sufficient conditions for Mittag–Leffler stability are formulated in the format of linear matrix inequalities (LMIs). Finally, the control performance and effectiveness of the proposed controller are demonstrated through numerical simulations, and the chaotic motions in D-PMSG can be eliminated quickly.

Suggested Citation

  • Li Yang & Fuzhao Yang & Weitao Sheng & Kun Zhou & Tianmin Huang, 2021. "Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design," Energies, MDPI, vol. 14(21), pages 1-15, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:21:p:7369-:d:672796
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/21/7369/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/21/7369/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kai Zhou & Min Ai & Dongyang Sun & Ningzhi Jin & Xiaogang Wu, 2019. "Field Weakening Operation Control Strategies of PMSM Based on Feedback Linearization," Energies, MDPI, vol. 12(23), pages 1-18, November.
    2. Belgacem Herissi & Djalil Boudjehem, 2020. "Fractional-order fuzzy controller for a PMSG wind turbine system," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3237-3250, December.
    3. Zhiyu Jiang & Weifei Hu & Wenbin Dong & Zhen Gao & Zhengru Ren, 2017. "Structural Reliability Analysis of Wind Turbines: A Review," Energies, MDPI, vol. 10(12), pages 1-25, December.
    4. Rauh, A. & Seelert, W., 1984. "The Betz optimum efficiency for windmills," Applied Energy, Elsevier, vol. 17(1), pages 15-23.
    5. Zhongliang Fu & Chunping Liu & Shengyi Ruan & Kun Chen, 2021. "Design of Neutrosophic Self-Tuning PID Controller for AC Permanent Magnet Synchronous Motor Based on Neutrosophic Theory," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bon-Yong Koo & Dae-Yi Jung, 2019. "A Comparative Study on Primary Bearing Rating Life of a 5-MW Two-Blade Wind Turbine System Based on Two Different Control Domains," Energies, MDPI, vol. 12(13), pages 1-16, July.
    2. Ceferino, Luis & Lin, Ning & Xi, Dazhi, 2023. "Bayesian updating of solar panel fragility curves and implications of higher panel strength for solar generation resilience," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    3. Song, Yupeng & Basu, Biswajit & Zhang, Zili & Sørensen, John Dalsgaard & Li, Jie & Chen, Jianbing, 2021. "Dynamic reliability analysis of a floating offshore wind turbine under wind-wave joint excitations via probability density evolution method," Renewable Energy, Elsevier, vol. 168(C), pages 991-1014.
    4. Qian Li & Danyang Chen & Hangbing Lin & Xiaolei Yang, 2025. "A Review of Diagnostic Methods for Yaw Errors in Horizontal Axis Wind Turbines," Energies, MDPI, vol. 18(3), pages 1-17, January.
    5. Wang, Hao & Wang, Tongguang & Ke, Shitang & Hu, Liang & Xie, Jiaojie & Cai, Xin & Cao, Jiufa & Ren, Yuxin, 2023. "Assessing code-based design wind loads for offshore wind turbines in China against typhoons," Renewable Energy, Elsevier, vol. 212(C), pages 669-682.
    6. Grzegorz Sieklucki & Dawid Kara, 2022. "Design and Modelling of Energy Conversion with the Two-Region Torque Control of a PMSM in an EV Powertrain," Energies, MDPI, vol. 15(13), pages 1-18, July.
    7. Md Jamilur Rahman & Manzar Fawad & Nazmul Haque Mondol, 2022. "Influence of Rock Properties on Structural Failure Probability—Caprock Shale Examples from the Horda Platform, Offshore Norway," Energies, MDPI, vol. 15(24), pages 1-23, December.
    8. Yang Liu & Jin Zhao & Quan Yin, 2021. "Model-Based Predictive Rotor Field-Oriented Angle Compensation for Induction Machine Drives," Energies, MDPI, vol. 14(8), pages 1-13, April.
    9. Dale, Michael & Krumdieck, Susan & Bodger, Pat, 2011. "Net energy yield from production of conventional oil," Energy Policy, Elsevier, vol. 39(11), pages 7095-7102.
    10. Chao Wu & Jun Yang & Qi Li, 2020. "GPIO-Based Nonlinear Predictive Control for Flux-Weakening Current Control of the IPMSM Servo System," Energies, MDPI, vol. 13(7), pages 1-21, April.
    11. Asmae Chakir & Mohamed Tabaa, 2024. "Hybrid Renewable Production Scheduling for a PV–Wind-EV-Battery Architecture Using Sequential Quadratic Programming and Long Short-Term Memory–K-Nearest Neighbors Learning for Smart Buildings," Sustainability, MDPI, vol. 16(5), pages 1-24, March.
    12. Song, Ming & Jiang, Zhiyu & Yuan, Wei, 2021. "Numerical and analytical analysis of a monopile-supported offshore wind turbine under ship impacts," Renewable Energy, Elsevier, vol. 167(C), pages 457-472.
    13. Wu, Xiaoni & Hu, Yu & Li, Ye & Yang, Jian & Duan, Lei & Wang, Tongguang & Adcock, Thomas & Jiang, Zhiyu & Gao, Zhen & Lin, Zhiliang & Borthwick, Alistair & Liao, Shijun, 2019. "Foundations of offshore wind turbines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 104(C), pages 379-393.
    14. Cheynet, Etienne & Li, Lin & Jiang, Zhiyu, 2024. "Metocean conditions at two Norwegian sites for development of offshore wind farms," Renewable Energy, Elsevier, vol. 224(C).
    15. Okpokparoro, Salem & Sriramula, Srinivas, 2021. "Uncertainty modeling in reliability analysis of floating wind turbine support structures," Renewable Energy, Elsevier, vol. 165(P1), pages 88-108.
    16. Yao Li & Frank PA Coolen, 2019. "Time-dependent reliability analysis of wind turbines considering load-sharing using fault tree analysis and Markov chains," Journal of Risk and Reliability, , vol. 233(6), pages 1074-1085, December.
    17. Xu, Sheng & Wang, Shan & Guedes Soares, C., 2019. "Review of mooring design for floating wave energy converters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 111(C), pages 595-621.
    18. Thapa, Mishal & Missoum, Samy, 2022. "Uncertainty quantification and global sensitivity analysis of composite wind turbine blades," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    19. Shittu, Abdulhakim Adeoye & Mehmanparast, Ali & Hart, Phil & Kolios, Athanasios, 2021. "Comparative study between S-N and fracture mechanics approach on reliability assessment of offshore wind turbine jacket foundations," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    20. Lu Liu & Yun Zeng, 2023. "Intelligent ISSA-Based Non-Singular Terminal Sliding-Mode Control of DC–DC Boost Converter Feeding a Constant Power Load System," Energies, MDPI, vol. 16(13), pages 1-23, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:21:p:7369-:d:672796. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.