The maximum demand for a power station is 100 MW. If the annual load factor is 50%, calculate the total energy generated in a year.

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. 438.0 × 105 kWh
  2. 43.80 × 105 kWh
  3. 4380 × 105 kWh
  4. 43800 × 105 kWh

Answer (Detailed Solution Below)

Option 3 : 4380 × 105 kWh
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Detailed Solution

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Concept

The load factor for a power station is calculated as:

\(Load \space factor={Average \space demand \over Maximum \space demand}\)

\({Average \space demand}={Total \space energy \space generated \space in \space a \space year\over Total \space hours \space in \space a \space year }\)

\({Average \space demand}={Total \space energy \space generated \space in \space a \space year\over 24× 365 }\)

Calculation

Given, Load factor = 50% = 0.5

Maximum demand = 100 MW

\(0.5={Average \space demand \over 100}\)

Average demand = 50 MW

Total energy generated in a year = 50 × 24 × 365

Total energy generated in a year = 43800 × 105 kWh

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