Capacity factor — Science definition

Defined in 2 courses:

Where it is taught

In use

Capacity factor is actual energy over an interval divided by the energy that continuous nameplate output would provide during that interval.

Renewable Energy

Capacity factor equals actual energy divided by rated power times period.

Life-Cycle Energy & Resource Accounting

Questions using capacity factor

Problem 1

A solar farm has a nameplate capacity of 80 MW but averages only 20 MW of output over the year. What is its capacity factor, as a percent?
Answer and explanation

25 %

Capacity factor = average output / maximum output = 20 / 80 = 0.25 = 25%.

Problem 2

A 5 kW system has 30% capacity factor for 2000 h. Find generated energy. If storage returns 80% of an allocated 500 kWh, how much useful stored energy returns?
Answer and explanation

Generation=5×0.30×2000=3000 kWh. The allocated storage input returns 400 kWh and loses/transfers 100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Generation=5×0.30×2000=3000 kWh.

The allocated storage input returns 400 kWh and loses/transfers 100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 3

Independent chapter check: A5 kW system has30% capacity factor for2000 h. Find generated energy. If storage returns80% of an allocated500 kWh, how much useful stored energy returns?
Answer and explanation

Generation=5×0.30×2000=3000 kWh. The allocated storage input returns400 kWh and loses/transfers100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Generation=5×0.30×2000=3000 kWh.

The allocated storage input returns400 kWh and loses/transfers100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 4

A geothermal plant has a nameplate capacity of 50 MW and averages 45 MW of output over the year. What is its capacity factor, as a percent?
Answer and explanation

90 %

Capacity factor = 45 / 50 = 0.90 = 90%. Geothermal runs steadily, so its capacity factor is high.

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