What is the total load on a single line feeder if the first load is 1200 kW at a 0.8 power factor and the second load is 800 kVA and 300 kVAR?

To determine the total load on a single line feeder, it is essential to analyze both of the provided loads accurately and convert them into a consistent format to sum them up.

First, consider the first load, which is 1200 kW at a power factor of 0.8. To find the apparent power (in kVA) for this load, you can use the formula:

Apparent Power (kVA) = Real Power (kW) / Power Factor.

Substituting the values:

Apparent Power = 1200 kW / 0.8 = 1500 kVA.

Now, for the second load, which is given as 800 kVA and 300 kVAR, we need to find its real power (kW). The relationship between kW, kVA, and kVAR can be derived from the Pythagorean theorem as follows:

Real Power (kW) = √(Apparent Power² - Reactive Power²).

Substituting the values:

Real Power = √(800² - 300²) = √(640000 - 90000) = √550000 = 741.62 kW (approximately).

Now we can calculate the total load