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Innovative Savonius rotors evolved by genetic algorithm based on 2D-DCT encoding

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Abstract

The Savonius rotor is mainly known by its design simplicity, low cost, easy installation, good starting ability, relatively low operating speed and independent to wind directions. Over the last few decades, although many investigations around the world have reported performance gains of the Savonius rotor, none of the available techniques is capable of automatic generating innovative Savonius rotor geometries other than predefined models such as semicircular or its variations. This study aims to investigate the geometry optimization ability of evolution algorithms based on two-dimensional discrete cosine transformation (2D-DCT) through numerical simulations. By considering the cross-sectional area of a Savonius rotor as a picture, 2D-DCT has been employed to compress and encode the cross-sectional geometry into genomes which will be evolved by Genetic Algorithms to maximize their average torque coefficient. According to numerical simulation, the proposed technique improved the efficiency by 13.77% at tip speed ratio (TSR) 1.0 and 21.11% at TSR 0.0838, which discovered impressive and thought promoting innovative geometries automatically.

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References

  • Alom N, Kolaparthi SC, Gadde SC, Saha UK (2016) Aerodynamic design optimization of elliptical-bladed Savonius-Style wind turbine by numerical simulations. In: ASME 2016 35th International conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers, pp V006T009A009–V006T009A009

  • Altan BD, Altan G, Kovan V (2016) Investigation of 3D printed Savonius rotor performance. Renew Energy 99:584–591

    Article  Google Scholar 

  • Bedon G, De Betta S, Benini E (2016) Performance-optimized airfoil for Darrieus wind turbines. Renew Energy 94:328–340

    Article  Google Scholar 

  • Bedon G, Raciti Castelli M, Benini E (2013) Optimization of a Darrieus vertical-axis wind turbine using blade element-momentum theory and evolutionary algorithm. Renew Energy 59:184–192

    Article  Google Scholar 

  • Carrigan TJ (2011) Aerodynamic shape optimization of a vertical axis wind turbine. The University of Texas at Arlington. https://search.proquest.com/docview/871631185

  • Carrigan TJ, Dennis BH, Han ZX, Wang BP (2012) Aerodynamic shape optimization of a vertical-axis wind turbine using differential evolution ISRN. Renew Energy 2012:1–16

    Google Scholar 

  • Driss Z, Mlayeh O, Driss S, Maaloul M, Abid MS (2016) Study of the incidence angle effect on the aerodynamic structure characteristics of an incurved Savonius wind rotor placed in a wind tunnel. Energy 113:894–908

    Article  Google Scholar 

  • Ferrari G, Federici D, Schito P, Inzoli F, Mereu R (2017) CFD study of Savonius wind turbine: 3D model validation and parametric analysis. Renew Energy 105:722–734

    Article  Google Scholar 

  • Gonzalez RC, Woods RE, Eddins SL (2009) Digital image processing using MATLAB. Publishing House of Electronics Industry, Beijing

    Google Scholar 

  • Grosse HJ, Varley MR, Terrell TJ, Chan YK (1997) Hardware implementation of versatile zigzag-reordering algorithm for adaptive JPEG-like image compression schemes. In: International conference on image processing and ITS applications, vol 181, pp 184–188

  • Jain AK (1989) Fundamentals of digital image processing. Prentice Hall, Englewood Cliffs, pp I150–I153

    Google Scholar 

  • Lee J-H, Lee Y-T, Lim H-C (2016) Effect of twist angle on the performance of Savonius wind turbine. Renew Energy 89:231–244

    Article  Google Scholar 

  • Liang X, Fu S, Ou B, Wu C, Chao CY, Pi K (2017) A computational study of the effects of the radius ratio and attachment angle on the performance of a Darrieus-Savonius combined wind turbine. Renew Energy 113:329–334

    Article  Google Scholar 

  • Mereu R, Federici D, Ferrari G, Schito P, Inzoli F (2017) Parametric numerical study of Savonius wind turbine interaction in a linear array. Renew Energy 113:1320–1332

    Article  Google Scholar 

  • Morshed KN, Rahman M, Molina G, Ahmed M (2013) Wind tunnel testing and numerical simulation on aerodynamic performance of a three-bladed Savonius wind turbine. Int J Energy Environ Eng 4:18

    Article  Google Scholar 

  • Rahai HR, Hefazi H (2008) Vertical axis wind turbine with optimized blade profile. United States Patent US 7393177 B2

  • Rahman M, Salyers T, Maroha E, Ahmed M, Salekeen S (2016) Numerical investigation of novel design of Savonius blade geometries for vertical-axis wind turbines. In: ASME 2016 power conference collocated with the ASME 2016 10th international conference on energy sustainability and the ASME 2016 14th international conference on fuel cell science, engineering and technology. American Society of Mechanical Engineers, pp V001T008A005–V001T008A005

  • Roy S, Saha UK (2013) Review of experimental investigations into the design, performance and optimization of Savonius rotor. Proc Inst Mech Eng Part A J Power Energy 227:528–542

    Article  Google Scholar 

  • Shaheen M, Abdallah S (2016) Development of efficient vertical axis wind turbine clustered farms. Renew Sustain Energy Rev 63:237–244

    Article  Google Scholar 

  • Simonović AM, Svorcan JS, Peković OM (2017) VAWT optimization using genetic algorithm and CST airfoil parameterization. FME Trans 45:27

    Google Scholar 

  • Tahani M, Rabbani A, Kasaeian A, Mehrpooya M, Mirhosseini M (2017) Design and numerical investigation of Savonius wind turbine with discharge flow directing capability. Energy 130:327–338

    Article  Google Scholar 

  • Wekesa DW, Wang C, Wei Y, Zhu W (2016) Experimental and numerical study of turbulence effect on aerodynamic performance of a small-scale vertical axis wind turbine. J Wind Eng Ind Aerodyn 157:1–14

    Article  Google Scholar 

  • Yamazaki W, Arakawa Y (2016) Numerical/experimental investigation of airfoil shape for small VAWT. In: 34th wind energy symposium, p 1733

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (U1509207, 61325019, 61503338, 61502422), and the Microsystems Technology Key Laboratory Foundation of China under Grant 6142804010203.

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Correspondence to Qianwei Zhou.

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Zhou, Q., Xu, Z., Cheng, S. et al. Innovative Savonius rotors evolved by genetic algorithm based on 2D-DCT encoding. Soft Comput 22, 8001–8010 (2018). https://doi.org/10.1007/s00500-018-3214-x

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