This question was previously asked in

UPPCL AE EE Previous Paper 4 (Held On: 4 November 2019 Shift 2)

Option 2 : 40 × 8760 MWh

CT 1: Basic Concepts

18600

10 Questions
10 Marks
6 Mins

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 = 100 MW

Annual load factor = 40% = 0.4

\(\Rightarrow 0.4 = \frac{E}{{100 \times 365 \times 24}}\)

\(\Rightarrow E = 40 \times {8760}\;MWh \)