# A base load power station of capacity 35 MW has annual output of 150 × 106 kWh. The plant capacity factor of the power plant is

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A base load power station of capacity 35 MW has annual output of 150 × 106 kWh. The plant capacity factor of the power plant is

1. 68%
2. 35%
3. 49%
4. 25%

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Correct Answer - Option 3 : 49%

Explanation:

Plant capacity factor:

• It is the ratio of actual energy produced to the maximum possible energy that could have been produced during a given period.

$Plant\;capacity\;factor = \frac{{{\rm{Actual\;energy\;produced}}}}{{Maximum\;energy\;that\;could\;have\;been\;produced}}$

$= \frac{{Average\;demand \times T}}{{Plant\;capacity \times 100}}$

$= \frac{{Average\;demand}}{{Plant\;capacity}}$

$Annual\;plant\;capacity\;factor = \frac{{{\rm{Annual\;kWh\;output}}}}{{Plant\;capacity \times 8760}}$

Calculation:

Given:

Annual output =150 × 106 kWh, plant capacity = 35 MW = 35000 W

$Annual\;plant\;capacity\;factor = \frac{{{\rm{Annual\;kWh\;output}}}}{{Plant\;capacity \times 8760}}$

$Annual\;plant\;capacity\;factor = \frac{150 \times 10^6}{35000 \times 8760}$

$Annual\;plant\;capacity\;factor = 0.4892$

Annual plant capacity factor = 0.49 = 49%