A certain wind turbine has a nameplate capacity of 2 MW. If the average capacity factor is 48%, how much energy in MWh does the turbine generate each week? Please include one decimal place in your answer. Hint: there are 168 hours in a week.
Question
A certain wind turbine has a nameplate capacity of 2 MW. If the average capacity factor is 48%, how much energy in MWh does the turbine generate each week? Please include one decimal place in your answer. Hint: there are 168 hours in a week.
Solution
To calculate the energy generated by the wind turbine each week, we need to consider the nameplate capacity, the capacity factor, and the number of hours in a week.
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The nameplate capacity of the wind turbine is 2 MW. This is the maximum output the turbine can produce.
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The capacity factor is 48%, or 0.48 in decimal form. This is the actual output over the maximum possible output.
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There are 168 hours in a week.
First, we calculate the average power output of the wind turbine by multiplying the nameplate capacity by the capacity factor:
2 MW * 0.48 = 0.96 MW
This is the average power output per hour. To find the total energy generated in a week, we multiply this by the number of hours in a week:
0.96 MW * 168 hours = 161.28 MWh
So, the wind turbine generates approximately 161.3 MWh of energy each week (rounded to one decimal place).
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