In: Physics
Suppose an electric utility is considering whether to install a
wind farm with 30 megawatts (mw) of capacity or a natural gas
generator that would produce the same amount of annual electricity.
An engineering study showed that the site for the wind farm would
produce a load factor of 25 percent. (Actual generation would be 25
percent of capacity on average over the course of a year.) The
natural gas plant could be operated with a load factor of 50
percent. Capital costs for the wind farm would $1.5 million per
megawatt, compared to $1.0 million per megawatt for the natural gas
plant. Operating costs for both plants would be $2 million per year
excluding fuel costs.
The electric utility is investor-owned and subject to rate of
return regulation. The capital costs are allowed in the rate base,
but not operating or fuel costs. If the regulatory agency allows
the firm to earn a 10 percent return on the rate base, what would
be the regulated price of electricity with each type of generation?
Which source would the utility prefer? Explain how you derived your
answer.