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A thermal generating station has an installed capacity of 15 MW and supplies a daily load of 10 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?
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A thermal generating station has an installed capacity of 15 MW and su...
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A thermal generating station has an installed capacity of 15 MW and su...
Given information:
- Installed capacity of thermal generating station = 15 MW
- Daily load:
- 10 MW for 12 hours
- 5 MW for the remaining 12 hours

To find: Plant capacity factor

Calculation:

Step 1: Find the energy supplied by the plant in a day

Energy supplied = Power x Time

For the first 12 hours, power supplied = 10 MW

Energy supplied in the first 12 hours = 10 MW x 12 hours = 120 MWh

For the remaining 12 hours, power supplied = 5 MW

Energy supplied in the remaining 12 hours = 5 MW x 12 hours = 60 MWh

Total energy supplied in a day = 120 MWh + 60 MWh = 180 MWh

Step 2: Find the maximum possible energy that could have been supplied by the plant in a day

Maximum possible energy = Installed capacity x 24 hours

Maximum possible energy = 15 MW x 24 hours = 360 MWh

Step 3: Calculate the plant capacity factor

Plant capacity factor = Energy supplied / Maximum possible energy

Plant capacity factor = 180 MWh / 360 MWh = 0.5

Therefore, the plant capacity factor for this station is 0.5.

Explanation:
- Plant capacity factor is a measure of how efficiently a power plant is being used.
- It is the ratio of actual energy output to the maximum possible energy output over a period of time.
- In this case, the plant supplied 180 MWh of energy in a day, compared to its maximum possible output of 360 MWh.
- Therefore, the plant capacity factor is 0.5, which means that the plant is being used at 50% of its maximum efficiency.
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A thermal generating station has an installed capacity of 15 MW and supplies a daily load of 10 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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