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Please answer these questions to the point , you can please take your time but answer the perfectly 12. A wind turbine has a rotor

Please answer these questions to the point , you can please take your time but answer the perfectly

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12. A wind turbine has a rotor of 60 metres in diameter, mounted at a hub height of 70 metres. It operates at a tip-speed ratio of 8 in a wind speed of 9 m/s, with a power coefficient of 0.4 and a thrust coefficient of 0.55. If the density of the air is 1.225 kg/m, calculate: () The mechanical shaft power of the rotor. (ii) The torque on the rotor shaft. (ii) The overturning moment at the base of the tower. 13. The rated speed of a FPC wind turbine is 1800 rev/min. The gearbox ratio is 1:28 and the combined inertia of the rotor, gearbox and generator is 5000 kgm? When the wind increases to 25 m/s, a brake is applied to rapidly bring the speed to zero. Calculate the energy absorbed by the brake. 14.Using the star equivalent circuit parameters shown below: 0) Calculate the real and reactive power in the stator circuits if the induction generator is configured as a DFIG and operates at -4% slip (super synchronous) with an injected voltage of -(5 + j5) V. (i) Calculate the power flowing in the rotor circuits and the losses in the rotor. Data for 2000 kW, 690 V induction machine. Star equivalent circuit parameters Stator leakage reactance (XL) 0.0850 Rotor leakage reactance (Xir) 0.095022 Rotor resistance (R) 0.00752

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