In a transaction where BA A sells 100 MW to another BA, how much energy is actually transferred in the first hour if the ramp begins at the top of the hour and lasts 10 minutes?

When BA A sells 100 MW to another Balancing Authority (BA), the total energy transferred during the first hour is influenced by the ramping period. In this case, the ramp begins at the top of the hour and lasts for 10 minutes, meaning that it takes time to reach the full 100 MW output.

During the initial 10 minutes, the energy transferred will not be at the maximum rate of 100 MW, as the generation is ramping up. To quantify the energy during this ramp-up period, one can calculate the average output over the period. Assuming a linear ramp-up from 0 MW to 100 MW over 10 minutes, the average output can be estimated as 50 MW during the ramp-up phase.

There are 60 minutes in an hour, and the ramp-up phase lasts for 10 minutes, meaning there are 50 minutes left at the full output of 100 MW. Therefore, the energy transferred in the first hour can be broken down into two parts:

1. The energy transferred during the ramp-up period (10 minutes at an average of 50 MW):

( E_ramp = 50 \text{ MW} \times \frac{10 \text{ min}}{