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Performances of ideal wind turbine

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  • Jiang, Haibo
  • Li, Yanru
  • Cheng, Zhongqing

Abstract

If there is an ideal wind turbine, its performances will be the pursuit goals for designing the actual wind turbine. In this paper, the wind turbine that has the maximum efficiency is defined as ideal wind turbine, which has three main features: lift-drag ratio is infinite, it has enough number blades so that the blade tip and root losses can be ignored, and its blades are limited in width. Using blade element theory, the differential equations of power, torque, lift and thrust of blade element were derived, and the expressions of power, torque, lift and thrust coefficients of the ideal wind turbine were gained by integrating along the blade span. Research shows that the power, torque and lift coefficients of the ideal wind turbine are functions of tip-speed ratio. When the lift-drag ratio and the tip-speed ratio is approaching infinity, power coefficient of the ideal wind turbine is close to the Betz limit; The torque limit is 0.401 when the tip-speed ratio equals about 0.635; The Lift limit is 0.578 when the tip-speed ratio equals about 0.714; The thrust coefficient is 8/9, which is unrelated with tip-speed ratio. For any wind turbine which tip-speed ratio is less than 10, the power coefficient is unlikely to exceed 0.585, for any high-speed wind turbine which tip-speed ratio is greater than 6, the torque coefficient in steady state is unlikely to exceed 0.1, and the lift coefficient is unlikely to exceed 0.2.

Suggested Citation

  • Jiang, Haibo & Li, Yanru & Cheng, Zhongqing, 2015. "Performances of ideal wind turbine," Renewable Energy, Elsevier, vol. 83(C), pages 658-662.
  • Handle: RePEc:eee:renene:v:83:y:2015:i:c:p:658-662
    DOI: 10.1016/j.renene.2015.05.013
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    Cited by:

    1. Ediger, Volkan Ş. & Berk, Istemi, 2023. "Future availability of natural gas: Can it support sustainable energy transition?," Resources Policy, Elsevier, vol. 85(PA).
    2. Marzec, Łukasz & Buliński, Zbigniew & Krysiński, Tomasz, 2021. "Fluid structure interaction analysis of the operating Savonius wind turbine," Renewable Energy, Elsevier, vol. 164(C), pages 272-284.
    3. Xiaodong Li & Xiang Song & Djamila Ouelhadj, 2023. "A Cost Optimisation Model for Maintenance Planning in Offshore Wind Farms with Wind Speed Dependent Failure Rates," Mathematics, MDPI, vol. 11(13), pages 1-21, June.
    4. Essah, Marcellinus & Andrews, Nathan, 2016. "Linking or de-linking sustainable mining practices and corporate social responsibility? Insights from Ghana," Resources Policy, Elsevier, vol. 50(C), pages 75-85.
    5. José Genaro González-Hernández & Rubén Salas-Cabrera, 2022. "Duty Cycle-Rotor Angular Speed Reverse Acting Relationship Steady State Analysis Based on a PMSG d–q Transform Modeling," Mathematics, MDPI, vol. 10(5), pages 1-17, February.
    6. Cardoso, J.G. & Casella, I.R.S. & Filho, A.J. Sguarezi & Costa, F.F. & Capovilla, C.E., 2016. "SCIG wind turbine wireless controlled using morphological filtering for power quality enhancement," Renewable Energy, Elsevier, vol. 92(C), pages 303-311.
    7. Carlo Bianca, 2022. "On the Modeling of Energy-Multisource Networks by the Thermostatted Kinetic Theory Approach: A Review with Research Perspectives," Energies, MDPI, vol. 15(21), pages 1-22, October.
    8. Muche, Thomas & Pohl, Ralf & Höge, Christin, 2016. "Economically optimal configuration of onshore horizontal axis wind turbines," Renewable Energy, Elsevier, vol. 90(C), pages 469-480.
    9. Alkhabbaz, Ali & Yang, Ho-Seong & Weerakoon, A.H Samitha & Lee, Young-Ho, 2021. "A novel linearization approach of chord and twist angle distribution for 10 kW horizontal axis wind turbine," Renewable Energy, Elsevier, vol. 178(C), pages 1398-1420.

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