Blade chord and twist distributions are being sought for a pitch-controlled three-bladed horizontal axis wind turbine....
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Blade chord and twist distributions are being sought for a pitch-controlled three-bladed horizontal axis wind turbine. (a) Calculate the ideal blade chord and twist distributions at two radial positions r/R = 0.7 and 0.8, assuming that the ideal angle of attack is 11.2 degrees, the ideal lift coefficient is 1.14 and TSR = 5 (1 mark each): (1) The normalised ideal chord at r/R = 0.7: (ii) The normalised ideal chord at r/R = 0.8: (ii) The ideal twist angle at r/R = 0.7 (in degrees): (iv) The ideal twist angle at r/R=0.8 (in degrees): (b) To simplify the blade design from (a), consider chord and twist distributions of a linear taper blade, so that the resulting chord distribution matches the ideal chord distribution values at the two blade element positions from (a). Obtain the equation for the chord distribution of the linear taper blade, based on the results from (a), assuming that the normalised spacing between the blade element positions is 0.1, calculate (2 marks each) (1) The values of the normalised chord of the linear taper blade at r/R = 0.5. (ii) The lift coefficient at r/R = 0.5, based on (1). Assuming the following relationship between the lift coefficient and the angle of attack (in degrees): alin = C Llin/0.1-4 and no stall, calculate (3 marks each) (iii) The angle of attack at r/R = 0.5 (in degrees): (iv) The twist of the linear taper blade at r/R = 0.5 (in degrees): Blade chord and twist distributions are being sought for a pitch-controlled three-bladed horizontal axis wind turbine. (a) Calculate the ideal blade chord and twist distributions at two radial positions r/R = 0.7 and 0.8, assuming that the ideal angle of attack is 11.2 degrees, the ideal lift coefficient is 1.14 and TSR = 5 (1 mark each): (1) The normalised ideal chord at r/R = 0.7: (ii) The normalised ideal chord at r/R = 0.8: (ii) The ideal twist angle at r/R = 0.7 (in degrees): (iv) The ideal twist angle at r/R=0.8 (in degrees): (b) To simplify the blade design from (a), consider chord and twist distributions of a linear taper blade, so that the resulting chord distribution matches the ideal chord distribution values at the two blade element positions from (a). Obtain the equation for the chord distribution of the linear taper blade, based on the results from (a), assuming that the normalised spacing between the blade element positions is 0.1, calculate (2 marks each) (1) The values of the normalised chord of the linear taper blade at r/R = 0.5. (ii) The lift coefficient at r/R = 0.5, based on (1). Assuming the following relationship between the lift coefficient and the angle of attack (in degrees): alin = C Llin/0.1-4 and no stall, calculate (3 marks each) (iii) The angle of attack at r/R = 0.5 (in degrees): (iv) The twist of the linear taper blade at r/R = 0.5 (in degrees):
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SOLUTION To calculate the ideal blade chord and twist distributions well use the given parameters ideal angle of attack 112 degrees ideal lift coefficient CL 114 and Tip Speed Ratio TSR 5 a Ideal Blad... View the full answer
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