The given figure represents the maximum demand of different substations (substations A, B, C, D, E maximum demands are A MW, B MW, C MW, D MW and E MW, respectively). Also the simultaneous maximum demand on substation X is X MW, the diversity factor of substation X is:

The correct answer is option 2):

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 = 
• A power station supplies loads to various types of consumers whose maximum demands generally do not occur at the same time.
• Therefore, the maximum demand for the power station is always less than the sum of the individual maximum demands of the consumer. Hence diversity factor is always greater than 1.
• The knowledge of the diversity factor is vital in determining the capacity of the plant equipment.
• The greater the diversity factor, the lesser the cost of the generation of power. Because a 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.

Application:

• For given figure 

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The maximum demand of different substations A, B, C, D, and E maximum demands are A MW, B MW, C MW, D MW and E MW, respectively

maximum demand on X is X MW

Diversity factor =