SPRING 2017 ENGR 200 P6: WIND FARMS (input/output data files, user-defined functions, loops) DUE: March 9, 2017 at 11:59 p.m. CT (extra credit) POINTS: 60 March 21, 2017 at ll:59 p.m. CT (final deadline) INTRODUCTION: Wind turbines convert the kinetic energy of moving air to electrical energy. It is key to know how much energy a wind turbine can produce for a given wind speed. A relation for the available power in wind is pAv wind 2 where Pwind is the power available in the wind (W, p is the density of air (use 1.2754 kg/m3, A is the area swept by the blades (m (hint: this will be a circle), and v is the velocity of the wind (m/s) (for this problem, 5 m/s) use However, the available power in the wind is not the maximum power the wind turbine can produce. The maximum power that can be produced is CDP wind wind,max where Cp is the power coefficient, which is also known as the Betz limit (unitless). Modern wind turbines have power coefficients ranging from 0.45 to 0.5 (for this problem, use 0.47) In addition, the gear box, generator, and bearings impose energy losses that further limit the output power of the turbine. Therefore, for each turbine, the amount of electricity in Watts that can be produced is elect nPA max wind, where m is the combined efficiency of the gear box. generator, and bearings (use 0.35). SPRING 2017 ENGR 200 P6: WIND FARMS (input/output data files, user-defined functions, loops) DUE: March 9, 2017 at 11:59 p.m. CT (extra credit) POINTS: 60 March 21, 2017 at ll:59 p.m. CT (final deadline) INTRODUCTION: Wind turbines convert the kinetic energy of moving air to electrical energy. It is key to know how much energy a wind turbine can produce for a given wind speed. A relation for the available power in wind is pAv wind 2 where Pwind is the power available in the wind (W, p is the density of air (use 1.2754 kg/m3, A is the area swept by the blades (m (hint: this will be a circle), and v is the velocity of the wind (m/s) (for this problem, 5 m/s) use However, the available power in the wind is not the maximum power the wind turbine can produce. The maximum power that can be produced is CDP wind wind,max where Cp is the power coefficient, which is also known as the Betz limit (unitless). Modern wind turbines have power coefficients ranging from 0.45 to 0.5 (for this problem, use 0.47) In addition, the gear box, generator, and bearings impose energy losses that further limit the output power of the turbine. Therefore, for each turbine, the amount of electricity in Watts that can be produced is elect nPA max wind, where m is the combined efficiency of the gear box. generator, and bearings (use 0.35)