A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines
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-complica...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-03-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/10/3/301 |
| _version_ | 1811306883718316032 |
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| author | Baoshou Zhang Baowei Song Zhaoyong Mao Wenlong Tian Boyang Li Bo Li |
| author_facet | Baoshou Zhang Baowei Song Zhaoyong Mao Wenlong Tian Boyang Li Bo Li |
| author_sort | Baoshou Zhang |
| collection | DOAJ |
| description | 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%. |
| first_indexed | 2024-04-13T08:53:27Z |
| format | Article |
| id | doaj.art-a50a78515b454cac8608b5f685567d7a |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-13T08:53:27Z |
| publishDate | 2017-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-a50a78515b454cac8608b5f685567d7a2022-12-22T02:53:24ZengMDPI AGEnergies1996-10732017-03-0110330110.3390/en10030301en10030301A Novel Parametric Modeling Method and Optimal Design for Savonius Wind TurbinesBaoshou Zhang0Baowei Song1Zhaoyong Mao2Wenlong Tian3Boyang Li4Bo Li5School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, Shandong, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaUnder 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%.http://www.mdpi.com/1996-1073/10/3/301Savonius wind turbineparametric modelpolar coordinatescomputational fluid dynamics (CFD)Kriging methodparticle swarm optimization (PSO) |
| spellingShingle | Baoshou Zhang Baowei Song Zhaoyong Mao Wenlong Tian Boyang Li Bo Li A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines Energies Savonius wind turbine parametric model polar coordinates computational fluid dynamics (CFD) Kriging method particle swarm optimization (PSO) |
| title | A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines |
| title_full | A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines |
| title_fullStr | A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines |
| title_full_unstemmed | A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines |
| title_short | A Novel Parametric Modeling Method and Optimal Design for Savonius Wind Turbines |
| title_sort | novel parametric modeling method and optimal design for savonius wind turbines |
| topic | Savonius wind turbine parametric model polar coordinates computational fluid dynamics (CFD) Kriging method particle swarm optimization (PSO) |
| url | http://www.mdpi.com/1996-1073/10/3/301 |
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