Kind of a dumb question but I'll ask anyway. If the wind is blowing in the exact same direction as the ship is travelling and you begin to retract the sail - do you recoup some of the energy you use during this retraction process through increased pulling power of the sail? Is the ship being pulled a little stronger during the retraction process or the exact same amount as if the line wasn't being retracted? Im imagi…
Newton's 3rd law. If you're applying a force to reel in the kite, that force is equally propelling you forward. Plus, the faster apparent air flow over the kite will produce more power, which is why sailboarders pump their sails while they race. In the real world, I've only ever pumped a kite like this to momentarily get some more energy into it to help with ram air inflation.
Speed of airflow is approximately constant. Extreme case is reeling it in at 1mph in a 200mph wind. Force is approximately fixed.
Consider that I have an object with a fixed force on it (a good approximation in that case). If I reel it in, I do work equal to force times distance. That work goes into heating up the air. The force on my boat is the same.
I'm not sure it's a problem we care about, but you know how we solve the problem? Collapse (or partially collapse) the kite before reeling it in.