Question

A load of 140MW at a power factor of 0.9 lagging can be delivered by a 3-phase transmission line. The voltage at the receiving end is to be maintained at 36kV and the loss in the transmission as 6.5% of the power delivered. (Consider the line to be a short transmission line)

Find Single phase Power delivered

Answer 1

The single-phase power delivered is 130.9 MW.

Step-by-step explanation:

In order to find the single-phase power delivered, we need to calculate the power loss in the transmission line. Given that the load is 140 MW at a power factor of 0.9 lagging, and the loss is 6.5% of the power delivered, we can calculate the power delivered as follows:

Power delivered = Power load - Power loss

Power delivered = 140 MW - (6.5% * 140 MW)

Power delivered = 140 MW - (0.065 * 140 MW) = 140 MW - 9.1 MW = 130.9 MW

Therefore, the single-phase power delivered is 130.9 MW.