IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v10y2017i3p301-d92067.html
   My bibliography  Save this article

A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines

Author

Listed:
  • Baoshou Zhang

    (School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

  • Baowei Song

    (School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

  • Zhaoyong Mao

    (School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

  • Wenlong Tian

    (School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

  • Boyang Li

    (College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, Shandong, China
    Marine Engineering Department, Qingdao Ocean Shipping Mariners College, Qingdao 266071, Shandong, China)

  • Bo Li

    (School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

Abstract

Under the inspiration of polar coordinates, a novel parametric modeling and optimization method for Savonius wind turbines was proposed to obtain the highest power output, in which a quadratic polynomial curve was bent to describe a blade. Only two design parameters are needed for the shape-complicated blade. Therefore, this novel method reduces sampling scale. A series of transient simulations was run to get the optimal performance coefficient (power coefficient C p) for different modified turbines based on computational fluid dynamics (CFD) method. Then, a global response surface model and a more precise local response surface model were created according to Kriging Method. These models defined the relationship between optimization objective Cp and design parameters. Particle swarm optimization (PSO) algorithm was applied to find the optimal design based on these response surface models. Finally, the optimal Savonius blade shaped like a “hook” was obtained. Cm (torque coefficient), Cp and flow structure were compared for the optimal design and the classical design. The results demonstrate that the optimal Savonius turbine has excellent comprehensive performance. The power coefficient Cp is significantly increased from 0.247 to 0.262 (6% higher). The weight of the optimal blade is reduced by 17.9%.

Suggested Citation

  • Baoshou Zhang & Baowei Song & Zhaoyong Mao & Wenlong Tian & Boyang Li & Bo Li, 2017. "A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines," Energies, MDPI, vol. 10(3), pages 1-20, March.
  • Handle: RePEc:gam:jeners:v:10:y:2017:i:3:p:301-:d:92067
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/10/3/301/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/10/3/301/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kacprzak, Konrad & Liskiewicz, Grzegorz & Sobczak, Krzysztof, 2013. "Numerical investigation of conventional and modified Savonius wind turbines," Renewable Energy, Elsevier, vol. 60(C), pages 578-585.
    2. McTavish, S. & Feszty, D. & Sankar, T., 2012. "Steady and rotating computational fluid dynamics simulations of a novel vertical axis wind turbine for small-scale power generation," Renewable Energy, Elsevier, vol. 41(C), pages 171-179.
    3. Andrea Alaimo & Antonio Esposito & Alberto Milazzo & Calogero Orlando & Flavio Trentacosti, 2013. "Slotted Blades Savonius Wind Turbine Analysis by CFD," Energies, MDPI, vol. 6(12), pages 1-17, December.
    4. Wenlong Tian & Baowei Song & James H. VanZwieten & Parakram Pyakurel, 2015. "Computational Fluid Dynamics Prediction of a Modified Savonius Wind Turbine with Novel Blade Shapes," Energies, MDPI, vol. 8(8), pages 1-15, July.
    5. Zhou, Tong & Rempfer, Dietmar, 2013. "Numerical study of detailed flow field and performance of Savonius wind turbines," Renewable Energy, Elsevier, vol. 51(C), pages 373-381.
    6. Akwa, João Vicente & Vielmo, Horácio Antonio & Petry, Adriane Prisco, 2012. "A review on the performance of Savonius wind turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(5), pages 3054-3064.
    7. Dragomirescu, A., 2011. "Performance assessment of a small wind turbine with crossflow runner by numerical simulations," Renewable Energy, Elsevier, vol. 36(3), pages 957-965.
    8. Driss, Zied & Mlayeh, Olfa & Driss, Dorra & Maaloul, Makram & Abid, Mohamed Salah, 2014. "Numerical simulation and experimental validation of the turbulent flow around a small incurved Savonius wind rotor," Energy, Elsevier, vol. 74(C), pages 506-517.
    9. Kumar, Dinesh & Sarkar, Shibayan, 2016. "Numerical investigation of hydraulic load and stress induced in Savonius hydrokinetic turbine with the effects of augmentation techniques through fluid-structure interaction analysis," Energy, Elsevier, vol. 116(P1), pages 609-618.
    10. Menet, J.-L., 2004. "A double-step Savonius rotor for local production of electricity: a design study," Renewable Energy, Elsevier, vol. 29(11), pages 1843-1862.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jan Michna & Krzysztof Rogowski, 2022. "CFD Calculations of Average Flow Parameters around the Rotor of a Savonius Wind Turbine," Energies, MDPI, vol. 16(1), pages 1-17, December.
    2. Marinić-Kragić, Ivo & Vučina, Damir & Milas, Zoran, 2019. "Concept of flexible vertical-axis wind turbine with numerical simulation and shape optimization," Energy, Elsevier, vol. 167(C), pages 841-852.
    3. Luke Sakamoto & Tomohiro Fukui & Koji Morinishi, 2022. "Blade Dimension Optimization and Performance Analysis of the 2-D Ugrinsky Wind Turbine," Energies, MDPI, vol. 15(7), pages 1-14, March.
    4. Krzysztof Sobczak & Damian Obidowski & Piotr Reorowicz & Emil Marchewka, 2020. "Numerical Investigations of the Savonius Turbine with Deformable Blades," Energies, MDPI, vol. 13(14), pages 1-20, July.
    5. Salleh, Mohd Badrul & Kamaruddin, Noorfazreena M. & Mohamed-Kassim, Zulfaa, 2022. "Experimental investigation on the effects of deflector angles on the power performance of a Savonius turbine for hydrokinetic applications in small rivers," Energy, Elsevier, vol. 247(C).
    6. Zhang, Baoshou & Li, Boyang & Li, Canpeng & Zhang, Yongbo & Lv, Jingze & Yu, Haidong, 2024. "Effects of submergence depth on the performance of the savonius hydrokinetic turbine near a free surface," Energy, Elsevier, vol. 289(C).
    7. Guo, Fen & Song, Baowei & Mao, Zhaoyong & Tian, Wenlong, 2020. "Experimental and numerical validation of the influence on Savonius turbine caused by rear deflector," Energy, Elsevier, vol. 196(C).
    8. Peng Wang & Daorina Bao & Mingzhi Zhao & Zhongyu Shi & Fan Gao & Feng Han, 2023. "The Design, Analysis, and Optimization of a New Pitch Mechanism for Small Wind Turbines," Energies, MDPI, vol. 16(18), pages 1-25, September.
    9. C M, Shashikumar & Madav, Vasudeva, 2021. "Numerical and experimental investigation of modified V-shaped turbine blades for hydrokinetic energy generation," Renewable Energy, Elsevier, vol. 177(C), pages 1170-1197.
    10. Marco A. Moreno-Armendáriz & Eddy Ibarra-Ontiveros & Hiram Calvo & Carlos A. Duchanoy, 2021. "Integrated Surrogate Optimization of a Vertical Axis Wind Turbine," Energies, MDPI, vol. 15(1), pages 1-21, December.
    11. Yong-Min You, 2019. "Optimal Design of PMSM Based on Automated Finite Element Analysis and Metamodeling," Energies, MDPI, vol. 12(24), pages 1-18, December.
    12. Scheaua Fanel Dorel & Goanta Adrian Mihai & Dragan Nicusor, 2021. "Review of Specific Performance Parameters of Vertical Wind Turbine Rotors Based on the SAVONIUS Type," Energies, MDPI, vol. 14(7), pages 1-23, April.
    13. Kumail Abdulkareem Hadi Al-Gburi & Balasem Abdulameer Jabbar Al-quraishi & Firas Basim Ismail Alnaimi & Ee Sann Tan & Ali Hussein Shamman Al-Safi, 2022. "Experimental and Simulation Investigation of Performance of Scaled Model for a Rotor of a Savonius Wind Turbine," Energies, MDPI, vol. 15(23), pages 1-23, November.
    14. Ma, Chao & Wang, Dingbiao & Song, Lei & Wang, Weiguang & Wang, Guanghui, 2024. "Experimental and three-dimensional performance analysis of a bio-inspired fish-ridge vertical axis wind rotor," Energy, Elsevier, vol. 305(C).
    15. Marinić-Kragić, Ivo & Vučina, Damir & Milas, Zoran, 2022. "Global optimization of Savonius-type vertical axis wind turbine with multiple circular-arc blades using validated 3D CFD model," Energy, Elsevier, vol. 241(C).
    16. Fanel Dorel Scheaua, 2020. "Comparative Numerical Analysis on Vertical Wind Turbine Rotor Pattern of Bach and Benesh Type," Energies, MDPI, vol. 13(9), pages 1-20, May.

    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. Fanel Dorel Scheaua, 2020. "Comparative Numerical Analysis on Vertical Wind Turbine Rotor Pattern of Bach and Benesh Type," Energies, MDPI, vol. 13(9), pages 1-20, May.
    2. Mohammadi, M. & Mohammadi, R. & Ramadan, A. & Mohamed, M.H., 2018. "Numerical investigation of performance refinement of a drag wind rotor using flow augmentation and momentum exchange optimization," Energy, Elsevier, vol. 158(C), pages 592-606.
    3. Noman, Abdullah Al & Tasneem, Zinat & Sahed, Md. Fahad & Muyeen, S.M. & Das, Sajal K. & Alam, Firoz, 2022. "Towards next generation Savonius wind turbine: Artificial intelligence in blade design trends and framework," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    4. Krzysztof Doerffer & Janusz Telega & Piotr Doerffer & Paulina Hercel & Andrzej Tomporowski, 2021. "Dependence of Power Characteristics on Savonius Rotor Segmentation," Energies, MDPI, vol. 14(10), pages 1-18, May.
    5. Kacprzak, Konrad & Liskiewicz, Grzegorz & Sobczak, Krzysztof, 2013. "Numerical investigation of conventional and modified Savonius wind turbines," Renewable Energy, Elsevier, vol. 60(C), pages 578-585.
    6. Elbatran, A.H. & Ahmed, Yasser M. & Shehata, Ahmed S., 2017. "Performance study of ducted nozzle Savonius water turbine, comparison with conventional Savonius turbine," Energy, Elsevier, vol. 134(C), pages 566-584.
    7. Jan Michna & Krzysztof Rogowski, 2022. "CFD Calculations of Average Flow Parameters around the Rotor of a Savonius Wind Turbine," Energies, MDPI, vol. 16(1), pages 1-17, December.
    8. Alom, Nur & Saha, Ujjwal K., 2018. "Performance evaluation of vent-augmented elliptical-bladed savonius rotors by numerical simulation and wind tunnel experiments," Energy, Elsevier, vol. 152(C), pages 277-290.
    9. Ducoin, A. & Shadloo, M.S. & Roy, S., 2017. "Direct Numerical Simulation of flow instabilities over Savonius style wind turbine blades," Renewable Energy, Elsevier, vol. 105(C), pages 374-385.
    10. Ricci, Renato & Romagnoli, Roberto & Montelpare, Sergio & Vitali, Daniele, 2016. "Experimental study on a Savonius wind rotor for street lighting systems," Applied Energy, Elsevier, vol. 161(C), pages 143-152.
    11. Khairil Anwar & Syukri Himran & Luther Sule & Nasruddin Azis, 2018. "Numerical Investigation Of Modified Savonius Wind Turbine with Various Straight Blade Angle," Journal of Mechanical Engineering Research & Developments (JMERD), Zibeline International Publishing, vol. 41(3), pages 38-42, September.
    12. Kumar, Rakesh & Raahemifar, Kaamran & Fung, Alan S., 2018. "A critical review of vertical axis wind turbines for urban applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 89(C), pages 281-291.
    13. repec:zib:zjmerd:3jmerd2018-38-42 is not listed on IDEAS
    14. C M, Shashikumar & Madav, Vasudeva, 2021. "Numerical and experimental investigation of modified V-shaped turbine blades for hydrokinetic energy generation," Renewable Energy, Elsevier, vol. 177(C), pages 1170-1197.
    15. Mohammadi, M. & Lakestani, M. & Mohamed, M.H., 2018. "Intelligent parameter optimization of Savonius rotor using Artificial Neural Network and Genetic Algorithm," Energy, Elsevier, vol. 143(C), pages 56-68.
    16. Zhang, Baoshou & Song, Baowei & Mao, Zhaoyong & Tian, Wenlong, 2017. "A novel wake energy reuse method to optimize the layout for Savonius-type vertical axis wind turbines," Energy, Elsevier, vol. 121(C), pages 341-355.
    17. Kumar, Anuj & Saini, R.P., 2017. "Performance analysis of a Savonius hydrokinetic turbine having twisted blades," Renewable Energy, Elsevier, vol. 108(C), pages 502-522.
    18. Kumar, Anuj & Saini, R.P., 2017. "Performance analysis of a single stage modified Savonius hydrokinetic turbine having twisted blades," Renewable Energy, Elsevier, vol. 113(C), pages 461-478.
    19. Kerikous, Emeel & Thévenin, Dominique, 2019. "Optimal shape of thick blades for a hydraulic Savonius turbine," Renewable Energy, Elsevier, vol. 134(C), pages 629-638.
    20. Cuevas-Carvajal, N. & Cortes-Ramirez, J.S. & Norato, Julian A. & Hernandez, C. & Montoya-Vallejo, M.F., 2022. "Effect of geometrical parameters on the performance of conventional Savonius VAWT: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
    21. Ramadan, A. & Yousef, K. & Said, M. & Mohamed, M.H., 2018. "Shape optimization and experimental validation of a drag vertical axis wind turbine," Energy, Elsevier, vol. 151(C), pages 839-853.

    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:10:y:2017:i:3:p:301-:d:92067. 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.