Correct Answer - Option 1 : 1.12
Concept:
Diversity factor: The ratio of the sum of individual maximum demands to the maximum demand on the power station is known as a diversity factor.
\(Diversity\;factor = \frac{{Sum\;of\;individual\;maximum\;demands}}{{Maximum\;demand\;on\;power\;station}}\)
A power station supplies load to various types of consumers whose maximum demands generally do not occur at the same time. Therefore, maximum demand on the power station is always less than the sum of individual maximum demands of the consumer. Hence diversity factor is always greater than 1.
The knowledge of diversity factor is vital in determining the capacity of the plant equipment.
The greater the diversity factor, the lesser is the cost of generation of power. Because greater diversity factor means lesser maximum demand. Now, lower maximum demand means a lower capacity of the plant which reduces the cost of the plant.
Calculation:
Sum of maximum individual demand = 1500 + 750 + 100 + 450 = 2800 kW
Maximum demand of the station = 2500 kW
Diversity factor \( = \frac{{2800}}{{2500}} = 1.12\)
