A novel linearization approach of chord and twist angle distribution for 10 kW horizontal axis wind turbine

Abstract In the present work, the aerodynamic design of a 10 kW horizontal axis wind turbine rotor is performed using both ideal and actual rotor theories. The obtained nonlinear blade profile is optimized in order to enhance the aerodynamic performance and to ease the fabricating complexity. A unique linearization approach is employed to linearize the chord and twist distribution by dividing the congruent line of both ideal and actual models into equal divisions. The points along the identical tangent line are considered as floating new blade roots, whereas the blade tip was kept fixed based on the primary design. The linear profile based on the new value of blade root is described using algebraic equations. The local element torque, capacity factor, and the annual energy production based on the Weibull distribution are adopted to determine and assess the optimal blade profile. Both CFD investigation and the FEA analysis are performed in order to evaluate both primary and optimized blades. The aerodynamic and aeroelastic comparison in terms of power output, thrust force, blade tip deflection, and the equivalent stress distribution of both blade profiles has been done over a wide range of incoming wind speeds. Results show an enhancement in the aerodynamic performance in terms of power coefficient up to (5.9%) compared to the primary blade design. Moreover, the optimized blade has shown less tip deflection by 27.92% than the primary blade at low wind speed.

[1]  A. Toffolo,et al.  Optimal design of horizontal-axis wind turbines using blade-element theory and evolutionary computation , 2002 .

[2]  A. J. Vitale,et al.  Computational method for the design of wind turbine blades , 2008 .

[3]  Matthew M. Duquette,et al.  Numerical Implications of Solidity and Blade Number on Rotor Performance of Horizontal-Axis Wind Turbines , 2003 .

[4]  David McMillan,et al.  Sustainable decommissioning of an offshore wind farm , 2017 .

[5]  A. Betz,et al.  Vier Abhandlungen zur Hydrodynamik und Aerodynamik , 2010 .

[6]  Martin Otto Laver Hansen,et al.  Aerodynamics of Wind Turbines , 2001 .

[7]  Michele Messina,et al.  BEM theory: How to take into account the radial flow inside of a 1-D numerical code , 2012 .

[8]  Yuwei Li,et al.  Dynamic overset CFD simulations of wind turbine aerodynamics , 2012 .

[9]  Kyoungboo Yang Geometry Design Optimization of a Wind Turbine Blade Considering Effects on Aerodynamic Performance by Linearization , 2020 .

[10]  Xin Long,et al.  Aerodynamic loads calculation and analysis for large scale wind turbine based on combining BEM modified theory with dynamic stall model , 2011 .

[11]  Liu Xiong,et al.  Optimization model for rotor blades of horizontal axis wind turbines , 2007 .

[12]  Ahmad Sedaghat,et al.  Aerodynamic design of a 300 kW horizontal axis wind turbine for province of Semnan , 2012 .

[13]  Lin Wang,et al.  Optimized linearization of chord and twist angle profiles for fixed-pitch fixed-speed wind turbine blades , 2013 .

[14]  Jörg Höyland,et al.  Challenges for large wind turbine blades , 2010 .

[15]  Mario A. Rotea,et al.  Performance optimization of a wind turbine column for different incoming wind turbulence , 2018 .

[16]  I. H. Abbott,et al.  Theory of Wing Sections: Including a Summary of Airfoil Data , 1959 .

[17]  M. A. Yurdusev,et al.  Assessment of optimum tip speed ratio in wind turbines using artificial neural networks , 2006 .

[18]  Po Wen Cheng,et al.  An Iterative Method to Optimize the Twist Angle of a Wind Turbine Rotor Blade , 2014 .

[19]  Helge Aagaard Madsen,et al.  Optimization method for wind turbine rotors , 1999 .

[20]  James F. Manwell,et al.  Book Review: Wind Energy Explained: Theory, Design and Application , 2006 .

[21]  Xiongwei Liu,et al.  A direct approach of design optimization for small horizontal axis wind turbine blades , 2015 .

[22]  Jean-Jacques Chattot Optimization of Wind Turbines Using Helicoidal Vortex Model , 2003 .

[23]  Jang-Oh Mo,et al.  CFD Investigation on the aerodynamic characteristics of a small-sized wind turbine of NREL PHASE VI operating with a stall-regulated method , 2012 .

[24]  João Tavares Pinho,et al.  An extension of BEM method applied to horizontal-axis wind turbine design , 2011 .

[25]  Tongguang Wang,et al.  A brief review on wind turbine aerodynamics , 2012 .

[26]  Sumesh Narayan,et al.  Experimental and numerical studies on a low Reynolds number airfoil for wind turbine blades , 2011 .

[27]  M. Tahani,et al.  Aerodynamic design of horizontal axis wind turbine with innovative local linearization of chord and twist distributions , 2017 .

[28]  K. Y. Maalawi,et al.  A practical approach for selecting optimum wind rotors , 2003 .

[29]  Young-Ho Lee,et al.  Large eddy simulation of the wind turbine wake characteristics in the numerical wind tunnel model , 2013 .

[30]  Ludwig Prandtl,et al.  Applications of Modern Hydrodynamics to Aeronautics , 1923 .

[31]  Yun Zou,et al.  A Multi-Point Method Considering the Maximum Power Point Tracking Dynamic Process for Aerodynamic Optimization of Variable-Speed Wind Turbine Blades , 2016 .

[32]  Mariusz Pawlak,et al.  Optimisation of wind turbine blades , 2005 .

[33]  Sajid Ali,et al.  Statistical analysis of wind characteristics using Weibull and Rayleigh distributions in Deokjeok-do Island – Incheon, South Korea , 2018, Renewable Energy.

[34]  Shye-Chorng Kuo,et al.  Comparative analysis on power curve models of wind turbine generator in estimating capacity factor , 2014 .

[35]  Qing Xiao,et al.  Establishing a fully coupled CFD analysis tool for floating offshore wind turbines , 2017 .

[36]  Abdolrahman Dadvand,et al.  Aerodynamic shape optimization and analysis of small wind turbine blades employing the Viterna approach for post-stall region , 2016 .

[37]  J. L. Tangler,et al.  NREL airfoil families for HAWTs , 1995 .

[38]  Mudathir Funsho Akorede,et al.  Appraising the viability of wind energy conversion system in the Peninsular Malaysia , 2013 .

[39]  Haibo Jiang,et al.  Performances of ideal wind turbine , 2015 .

[40]  Jeppe Johansen,et al.  Design of a Wind Turbine Rotor for Maximum Aerodynamic Efficiency , 2009 .

[41]  Kevin Cox,et al.  Structural Design and Analysis of a 10MW Wind Turbine Blade , 2012 .

[42]  D. Wilcox Turbulence modeling for CFD , 1993 .