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Design of a small horizontal axis wind turbine, HAWT. Design parameters. Power Output, P: 300 W Wind velocity , c: 8 m/s Tip Speed Ratio, TSR: 5 Assumed efficiency, h : 30 % Number of blades, z: 2 Wing profile: NACA 23015 Angle of attack, a: 8 o
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Design parameters • Power Output, P: 300 W • Wind velocity , c: 8 m/s • Tip Speed Ratio, TSR: 5 • Assumed efficiency, h: 30 % • Number of blades, z: 2 • Wing profile: NACA 23015 • Angle of attack, a: 8o • Lift coefficient, CL: 0,8 • Drag coefficient, CD: 0,01
Radius of the turbine D Where: A = Area [m2] c = Wind velocity [m/s] h = Efficiency [ - ] P = Power [W] r = Density [kg/m3] R = Radius [m]
Speed of the turbine w Where: c = Wind velocity [m/s] n = Speed [rpm] w = Angular velocity [rad/s] R = Radius [m]
dA dr r Power through a section of the turbine blade
Torque force, dFT from a section of the turbine blade dFT dA dr r
Wing profile Chord Length, Lchord
FL FD a v LChord 4 Where: A = Area [m2] a = Angle of attack [degrees] CD = Drag Coefficient [ - ] CL = Lift Coefficient [ - ] FD = Drag Force [N] FL = Lift Force [N] LChord = Chord Length [m] r = Density [kg/m3] V = Relative velocity [m/s]
Peripheral velocity Wind velocity = c Relative velocity = V V u c u w
FL FD u = w·r a q v c
F FL FD F a u = w·r q F v u c v c
F u v c F a u = w·r q F v FL(Torque) FL c FD FD(Torque)
F a u = w·r q F v FT FL c FD
FT v
u F v c Chord Length, Lchord Lchord