A generator experiences a 0.3 Hz drop. If its output increases by 50 MW from 400 MW, what is the % droop of the generator?

To determine the % droop of the generator, we start by understanding the key parameters involved. Droop is a measure of how much the output frequency of a generator decreases in relation to its output power increase. The formula to calculate the percent droop is given by:

[ \text{Droop} % = \left( \frac{\text{Change in Frequency}}{\text{Rated Frequency}} \right) \div \left( \frac{\text{Change in Power}}{\text{Rated Power}} \right) \times 100 ]

In this case, the change in frequency is 0.3 Hz, and assuming the generator operates at a rated frequency of 60 Hz (which is standard in North America), we have:

• Change in Frequency = 0.3 Hz

• Rated Frequency = 60 Hz

The generator's output before the change is 400 MW, and it increases to 450 MW. Thus, the change in power is:

• Change in Power = 450 MW - 400 MW = 50 MW

• Rated Power = 400 MW (since we typically consider droop in relation to the operating output).

Now, substitute the values into the droop formula:

1