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

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  • 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
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    References listed on IDEAS

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    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.
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    9. 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.
    10. 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).
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    12. 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.
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