If a load has a power factor of 0.9 lagging and draws 100 MVA, what is the MW draw?

To determine the real power (MW) draw of a load with a given apparent power (MVA) and power factor, it is essential to understand the relationship between these parameters. In this case, the load has an apparent power of 100 MVA and a power factor of 0.9 lagging.

The formula to calculate real power (MW) is:

[ \text{MW} = \text{MVA} \times \text{Power Factor} ]

Substituting the given values:

[ \text{MW} = 100 , \text{MVA} \times 0.9 = 90 , \text{MW} ]

This calculation indicates that the real power draw of the load is 90 MW. The power factor indicates how effectively the load uses the electrical power, with a lagging power factor meaning the current is delayed compared to the voltage, typical for inductive loads. A power factor of 0.9 means that 90% of the apparent power (MVA) is being converted into usable real power (MW), while the remaining portion reflects reactive power that does not do useful work but maintains voltage levels in the system.

Therefore, the conclusion is that the