numbers in ( xx ) are values for each problem. (5 pts) The maximum power output of a wind turbine is 30 kW. It has a single phase, 240 Volts AC generator. Remember that 240 volts is the RMS value, and...

numbers in ( xx ) are values for each problem.

1. 
   (5 pts) The maximum power output of a wind turbine is 30 kW.
   

It has a single phase, 240 Volts AC generator. Remember that 240 volts is the RMS value, and that 30 kW is 30,000 WATTS.

What is the
peak
current produced at this 30 kW?

1. 
   0.0883 A


2. 
   1.76 A


3. 
   8.83 A


4. 
   30 A


5. 
   88.3 A


6. 
   176.8 A


7. 
   125 A

For questions 2 and 3 assume :
A wind turbine is rated at 3 MW with a 120 meter diameter rotor, and in a good wind regime it will produce 10,250 MWh/yr

2. (5 pts) What is the annual capacity factor for this turbine?


3. (5 pts) What is the annual specific output? MWh/area Area = pi * r
   ²
   or pi * [ d
   ²
   / 4 ]
   
   


4. (3 pts) Bugs on a blade can reduce power (hence energy output) by what percentage? _____
   
   
   
   1. 
      
      
      
      1. What would the Annual Energy (MWh/yr) be if this turbine ran a year with dirty blades?
         
         
      
      
      
      
   
   
   
   

5. (5 pts) Look at the Table 10.1 graph of installed capacity of wind turbines world wide. Based on those values and the consistent growth of wind turbines, estimate world capacity in 2025?

6. (3 pts) Compare the typical utility scale wind turbines of wind farms of 1980-1990 with those made 2000-2010.

A. what is the typical range of rated power of the turbines for the two different periods?

B. what is the average tower height of the two different decades?

C. what states had the most turbines or installed capacity for each period ( top one or two states for the two different decades)?

7. (3 pts) List three major considerations for development of a wind farm project. What main factors are really required to get a good wind farm developed? What do wind developers want to see before they invest millions of dollars in a wind farm?
   
   
   1.
   2.
   3.

8. (5 pts) Simple payback, equation 12.1. Home Sized Wind turbine rated at 4 kW in a good windy regime that gives 25% annual capacity factor. Installed cost is $24,000. It displaces electricity at $0.15/kWh. Calculate
   years to pay off
   the wind turbine. Assume $0 for O&M ( the home owner is too cheap to pay for maintenance).

9. (2 pts) List two externalities associated with producing electricity from coal or undesireable traits from using coal to produce electricity.

1.

2.

10. (5 pts) Assume the United States adopts carbon trading and the value is set at $20/ton.
    

Assume 35% capacity factor for the 24,185 MW installed in Texas.

A) How many metric tons of carbon dioxide are not going to be generated because of wind, compared to making the same energy with a coal plant?

B) What is the value of that reduced carbon dioxide emissions for 2019?

Coal plant generates 1 metric ton of CO2 per each Megawatt hour.

Value of carbon dioxide not created = $20 / metric ton CO2

Wind capacity = 24,185 MW