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A thermal generating station has an installedM capacity of 15 MW and supplies a daily load of10 MW for 12 hours and 5 MW of remaining 12 hours. The plant capacity factor for this station is
  • a)
    1
  • b)
    0.75
  • c)
    0.67
  • d)
    0.5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A thermal generating station has an installedM capacity of 15 MW and s...
Plant capacity factor =
average energy produced/maximum possible energy based on installed capacity
= 10 x12 + 5 x 12 / 24 x 15 = 0.5
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Most Upvoted Answer
A thermal generating station has an installedM capacity of 15 MW and s...
Explanation:

The capacity factor of a power plant is the ratio of the actual output power to the maximum possible output power. It measures how efficiently the power plant is being utilized.

Given:
Installed capacity of the thermal generating station = 15 MW
Daily load:
- 10 MW for 12 hours
- 5 MW for the remaining 12 hours

To calculate the capacity factor, we need to find the total energy generated by the power plant and divide it by the maximum possible energy that could have been generated.

Step 1: Calculate the total energy generated:
Energy generated during the first 12 hours = 10 MW x 12 hours = 120 MWh
Energy generated during the remaining 12 hours = 5 MW x 12 hours = 60 MWh
Total energy generated = 120 MWh + 60 MWh = 180 MWh

Step 2: Calculate the maximum possible energy that could have been generated:
Maximum possible energy that could have been generated = Installed capacity x 24 hours
Maximum possible energy = 15 MW x 24 hours = 360 MWh

Step 3: Calculate the capacity factor:
Capacity factor = Total energy generated / Maximum possible energy
Capacity factor = 180 MWh / 360 MWh = 0.5

Therefore, the capacity factor for this thermal generating station is 0.5, which corresponds to option 'D'.
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A thermal generating station has an installedM capacity of 15 MW and supplies a daily load of10 MW for 12 hours and 5 MW of remaining 12 hours. The plant capacity factor for this station isa)1b)0.75c)0.67d)0.5Correct answer is option 'D'. Can you explain this answer?
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