Which of the following relation is incorrect? (A) capacity factor = utilization factor × load factor (B) load factor × maximum load = average load (C) demand factor × connected load = maximum demand (D) none of these

Load factor:

The load factor is defined as the average load divided by the maximum demand for a certain period. Load factor = average load / maximum demand. Because the average load is lower than the maximum demand, the demand factor is less than 1.

Demand factor:

It is the proportion of the power plant’s connected load to its highest demand. Demand factor = Maximum Demand / Connected load. The demand factor’s value is often smaller than 1. It’s because the connected load is always more than the maximum demand. The demand factor must be understood in order to calculate the plant equipment’s capacity. Relation between Utilization Factor, Capacity Factor, and Load factor:

We know that,

Capacity factor (Cf) = Average Load (AL)/Plant Capacity (PC)

Utilization factor (Uf) = Maximum Demand (MD)/ Plant Capacity (PC)

Load factor (Lf) = Average load (AL)/Maximum Demand (MD)

Multiplied Load Factor and Utilization factor,

Lf x Uf = AL/MD x MD/PC = AL/PC

Therefore, capacity factor = utlization factor x load factor

Summary:

Which of the following relation is Incorrect? (A) capacity factor = utilization factor × load factor (B) load factor × maximum load = average load (C) demand factor × connected load = maximum demand (D) None of these

All of the statements are correct. As we have mentioned only correct statements. Utilization factor = maximum demand / plant capacity. Load factor = average load / maximum demand. Demand factor = Maximum Demand / Connected load.