13-12. Suppose the turbine and site from Problem 13-3 are used as the basis for an...

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13-12. Suppose the turbine and site from Problem 13-3 are used as the basis for an investment in a wind farm. Each turbine has a total cost of $1000/kW, plus 20% for all site and grid connection costs. Ignore operating and maintenance costs. If the project life is 25 years and the MARR is 5%, what is the cost per kWh to produce electricity at this facility, before considering any transmission costs? 13-3. Apply the power curve of Fig. 13-14 to a site with average wind speed of U= 7.7 m/s, with bin speed estimated using a Rayleigh distribution. Using 0.5 m/s bin size increments, estimate total output from the device in this location in kWh and the capacity factor. 13 u a small turbine rated at 10 kW has approximately the following power curve: kW; 4 m/sU <10 m/s, P= (10/6)(U-4) kW; 10 m/s < U <20 m/s, P = 10 kW; 1800 Site reference air density = 1600 1.15 kg/m3 vis bio 1400 1200 dison 1000 Power output (kW) 800 600 400 200 0 0 EK 5 10 0.60 -Power 1.7MW -Power 1.5MW 0.50 -0-Eff 1.5MW Eff 1.7MW 0.40 0.30 0.20 0.10 0.00 15 20 25 Extraction efficiency Wind speed (m/s) FIGURE 13-14 Power curve for 1.5-MW and 1.7-MW turbine for wind speeds from 0 to 21 m/s, with extraction efficiency (power output divided by power available in the wind). 13-12. Suppose the turbine and site from Problem 13-3 are used as the basis for an investment in a wind farm. Each turbine has a total cost of $1000/kW, plus 20% for all site and grid connection costs. Ignore operating and maintenance costs. If the project life is 25 years and the MARR is 5%, what is the cost per kWh to produce electricity at this facility, before considering any transmission costs? 13-3. Apply the power curve of Fig. 13-14 to a site with average wind speed of U= 7.7 m/s, with bin speed estimated using a Rayleigh distribution. Using 0.5 m/s bin size increments, estimate total output from the device in this location in kWh and the capacity factor. 13 u a small turbine rated at 10 kW has approximately the following power curve: kW; 4 m/sU <10 m/s, P= (10/6)(U-4) kW; 10 m/s < U <20 m/s, P = 10 kW; 1800 Site reference air density = 1600 1.15 kg/m3 vis bio 1400 1200 dison 1000 Power output (kW) 800 600 400 200 0 0 EK 5 10 0.60 -Power 1.7MW -Power 1.5MW 0.50 -0-Eff 1.5MW Eff 1.7MW 0.40 0.30 0.20 0.10 0.00 15 20 25 Extraction efficiency Wind speed (m/s) FIGURE 13-14 Power curve for 1.5-MW and 1.7-MW turbine for wind speeds from 0 to 21 m/s, with extraction efficiency (power output divided by power available in the wind).