A plant having load factor of 0.6 has a peak load of 100 MW. The
A. 432 × 10<sup>5</sup> units
B. 211 × 10<sup>3</sup> units
C. 412 × 10<sup>3</sup> units
D. 2000 units
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
Concept:
Load factor: The ratio of average load to the maximum demand during a given period is known as the load factor.
Load factor = average load/maximum demand
Energy generated = Average load x Time (T)
If the plant is in operation of T hours
\(Load\;factor = \frac{{Avearge\;load \times T}}{{Maximum\;demand \times T}}\)
\(= \frac{{Units\;generated\;in\;T\;hours}}{{Maximum\;demand \times T}}\)
- The load factor may be daily load factor, monthly or annually if the period considered is a day or month or year
- Load factor is always less than 1 because the average load is smaller than the maximum demand
- It plays a key role in determining the overall cost per unit generated
- Higher the load factor of the power station, lesser will be the cost per unit generated, it is because higher load factor means lesser maximum demand
- The station capacity is so selected that it must meet the maximum demand
- Now, lower maximum demand means a lower capacity of the plant which reduces the cost of the plant.
Calculation:
Given that, maximum demand or peak load = 100 MW
Time = 30 days = 30 x 24 hours
load factor = 60% = 0.6
\(\Rightarrow 0.6 = \frac{E}{{100 \times 30 \times 24}}\)
\(\Rightarrow E = 60 \times {720}\;MWh \)
E = 432 x 105 kWh or units