A Multiple-Parameter Optimization of Darrieus Vertical Axis Wind Turbine for Enhanced Performance

Dhiman Dey; Gour Chand Mazumder; Arnendu Roy Apu; Himangshu Ranjan Ghosh

doi:10.46604/aiti.2025.14914

Authors

Dhiman Dey Institute of Energy, University of Dhaka, Dhaka, Bangladesh
Gour Chand Mazumder Department of Electrical and Electronic Engineering, American International University-Bangladesh, Dhaka, Bangladesh
Arnendu Roy Apu Institute of Energy, University of Dhaka, Dhaka, Bangladesh
Himangshu Ranjan Ghosh Institute of Energy, University of Dhaka, Dhaka, Bangladesh

DOI:

https://doi.org/10.46604/aiti.2025.14914

Keywords:

Avrami equation, QBlade software, vertical axis wind turbine, wind turbine optimization

Abstract

This paper aims to optimize a small vertical-axis wind turbine (VAWT) by analyzing chord length, hub radius, and circular angle, and establishing a relationship between design parameters and performance. The approach involves evaluating five airfoils and identifying the best airfoil using QBlade, based on comparisons of the power coefficient (C_P), tip speed ratio (TSR), and the power output (P). Mathematical relationships are developed through extrapolation using polynomial, logarithmic, and modified Avrami equations. The result shows that the 'S1046 17%' is the best-performing airfoil among the five. The optimum chord length to hub radius ratio yields the highest power output, and the impact of circular angle on performance is negligible. The Avrami equation shows better fitness to the original data than the polynomial equation. The Troposkien variant shows a higher C_P over a wide range of TSR, while the straight blade produces higher power output across varying wind speed (V).

References

T. Z. Ang, M. Salem, M. Kamarol, H. S. Das, M. A. Nazari, and N. Prabaharan, “A Comprehensive Study of Renewable Energy Sources: Classifications, Challenges and Suggestions,” Energy Strategy Reviews, vol. 43, article no. 100939, 2022.

P. Muthukumar, D. K. Sarkar, D. De, and C. K. De, Innovations in Sustainable Energy and Technology, 1st ed., Singapore, Springer Singapore, 2021.

M. Hasan, P. Dey, S. Janefar, N. A. Salsabil, I. J. Khan, N. R. Chowdhury, et al., “A Critical Analysis of Wind Energy Generation Potential in Different Regions of Bangladesh,” Energy Reports, vol. 11, pp. 2152-2173, 2024.

H. Muhsen, W. Al-Kouz, and W. Khan, “Small Wind Turbine Blade Design and Optimization,” Symmetry, vol. 12, no. 1, article no. 18, 2019.

A. I. Altmimi, A. Aws, M. J. Jweeg, A. M. Abed, and O. I. Abdullah, “An Investigation of Design and Simulation of Horizontal Axis Wind Turbine Using QBlade,” Measurement Science Review, vol. 22, no. 6, pp. 253-260, 2022.

M. R. Badah and Y. H. Mahmood, “Performance Analysis of Vertical Axis Wind Turbine Blades Using Double Multiple Stream Tube Process,” Iraqi Journal of Science, vol. 63, no. 8, pp. 3366-3372, 2022.

A. I. Altmimi, M. Alaskari, O. I. Abdullah, A. Alhamadani, and J. S. Sherza, “Design and Optimization of Vertical Axis Wind Turbines Using QBlade,” Applied System Innovation, vol. 4, no. 4, article no. 74, 2021.

A. Muratoğlu and M. S. Demir, “Investigating the Effect of Geometrical and Dynamic Parameters on the Performance of Darrieus Turbines: A Numerical Optimization Approach via QBlade Algorithm,” Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 9, no. 1, pp. 413-426, 2020.

K. Deghoum, M. T. Gherbi, H. S. Sultan, A. N. Jameel Al-Tamimi, A. M. Abed, O. I. Abudullah, et al., “Optimization of Small Horizontal Axis Wind Turbines Based on Aerodynamic, Steady-State, and Dynamic Analyses,” Applied System Innovation, vol. 6, no. 2, article no. 33, 2023.

F. Ardaneh, A. Abdolahifar, and S. M. H. Karimian, “Numerical Analysis of the Pitch Angle Effect on the Performance Improvement and Flow Characteristics of the 3-PB Darrieus Vertical Axis Wind Turbine,” Energy, vol. 239, Part D, article no. 122339, 2022.

L. Merad, A. Bouanani, and M. Bouchaour, “Modeling and Simulation of the Vertical Axis Wind Turbine by QBlade Software,” Algerian Journal of Renewable Energy and Sustainable Development, vol. 2, no. 2, pp. 181-188, 2020.

H. Zhang, Y. Hu, and W. Wang, “Wind Tunnel Experimental Study on the Aerodynamic Characteristics of Straight-Bladed Vertical Axis Wind Turbine,” International Journal of Sustainable Energy, vol. 43, no. 1, article no. 2305035, 2024.

H. S. Davari, R. M. Botez, M. S. Davari, H. Chowdhury, and H. Hosseinzadeh, “Numerical and Experimental Investigation of Darrieus Vertical Axis Wind Turbines to Enhance Self-Starting at Low Wind Speeds,” Results in Engineering, vol. 24, article no. 103240, 2024.

H. S. Davari, R. M. Botez, M. S. Davari, H. Chowdhury, and H. Hosseinzadeh, “Blade Height Impact on Self-Starting Torque for Darrieus Vertical Axis Wind Turbines,” Energy Conversion and Management: X, vol. 24, article no. 100814, 2024.

H. S. Davari, M. S. Davari, S. Kouravand, and M. K. Kurdkandi, “Optimizing the Aerodynamic Efficiency of Different Airfoils by Altering Their Geometry at Low Reynolds Numbers,” Arabian Journal for Science and Engineering, vol. 49, pp. 15253-15288, 2024.

H. S. Davari, R. M. Botez, M. S. Davari, and H. Chowdhury, “Enhancing Aerodynamic Efficiency: Shape Modification of Airfoils,” International Journal of Ambient Energy, vol. 45, no. 1, article no. 2439441, 2024.

H. S. Davari, M. S. Davari, R. M. Botez, and H. Chowdhury, “Maximizing the Peak Lift-to-Drag Coefficient Ratio of Airfoils by Optimizing the Ratio of Thickness to the Camber of Airfoils,” Sustainable Earth Review, vol. 3, no. 4, pp. 46-61, 2023.

M. A. Dabachi, A. Rahmouni, E. Rusu, and O. Bouksour, “Aerodynamic Simulations for Floating Darrieus-Type Wind Turbines with Three-Stage Rotors,” Inventions, vol. 5, no. 2, article no. 18, 2020.

M. A. Dabachi, A. Rahmouni, O. Bouksour, “Design and Aerodynamic Performance of New Floating H-Darrieus Vertical Axis Wind Turbines,” Materials Today: Proceedings, vol. 30, no. 4, pp. 899-904, 2020.

K. Shirzad and C. Viney, “A Critical Review on Applications of the Avrami Equation Beyond Materials Science,” Journal of the Royal Society Interface, vol. 20, article no. 203, 2023.

B. Cantor, The Equations of Materials, 1st ed., Oxford University Press, 2020.

L. S. Wang, W. Cao, and S. Hu, Entropy and Exergy in Renewable Energy, 1st ed., IntechOpen, 2022.

R. A. Khaddar, S. K. Singh, N. D. Kaushika, R. K. Tomar, and S. K. Jain, Recent Developments in Energy and Environmental Engineering, Lecture Notes in Civil Engineering, 1st ed., Springer Nature Singapore, 2023.

H. S. Davari, R. M. Botez, M. S. Davari, and H. Chowdhury, “Enhancing the Efficiency of Horizontal Axis Wind Turbines Through Optimization of Blade Parameters,” Journal of Engineering, vol. 2024, no. 1, article no. 8574868, 2024.

H. S. Davari, S. Kouravand, M. S. Davari, and Z. Kamalnejad, “Numerical Investigation and Aerodynamic Simulation of Darrieus H-rotor Wind Turbine at Low Reynolds Numbers,” Energy Sources Part A: Recovery, Utilization, and Environmental Effects, vol. 45, no. 3, pp. 6813-6833, 2023.

H. S. Davari, M. S. Davari, R. M. Botez, and H. Chowdhury, “Advancements in Vertical Axis Wind Turbine Technologies: A Comprehensive Review,” Arabian Journal of Science and Engineering, vol. 50, no. 4, pp. 2169-2216, 2025.

A. Wongphat, S. Wongcharee, N. Chaiduangsri, K. Suwannahong, T. Kreetachat, S. Imman, et al., “Using Excel Solver’s Parameter Function in Predicting and Interpretation for Kinetic Adsorption Model via Batch Sorption: Selection and Statistical Analysis for Basic Dye Removal onto a Novel Magnetic Nanosorbent,” ChemEngineering, vol. 8, no. 3, article no. 58, 2024.

C. Onyutha, “A Hydrological Model Skill Score and Revised R-Squared,” Hydrology Research, vol. 53, no. 1, pp. 51-64, 2021.

B. Cantor, The Equations of Materials, The Avrami Equation: Phase Transformations, Oxford Academic, 2020.

A. Bishay, Recent Advances in Science and Technology of Materials, 1st ed., New York: Springer New York, 2012.