I have a battery drain problem similar to a lot of the posts on this Forum. I bought my 2013 Edge 3.5L V6 in October 2012. 2 years and 10 months and 23,400 miles later the battery failed. Ken Grody Ford in Buena Park replaced the battery with a Motorcraft BXT-59 lead acid battery (540 cold cranking amps) with a 36 month free replacement warranty. That battery has now failed after another 2 years and 1 month and 20,400 miles. I added distilled water to the cells and charged it, but it doesn't seem to want to hold a charge.
We have always had an intermittent issue when the ignition is turned off and the key removed, but the computer display indicates all is not shut off, with the "FORD" emblem showing. To get the display to turn off, we can re-start the car and shut it off again until it shuts off properly with a dark display. We discovered that it is not always necessary to re-start the car, but just re-insert the key and turn it hard CCW against the stop and then remove it, and this time maybe the display will shut off.
Also intermittently when shutting off the ignition the car will sometimes ding as I open the car door as if I had left the keys in the ignition, but they are in my hand. To stop the dinging it is necessary to re-start the car and shut it off again, or sometimes just insert the key and turn it hard CCW against the stop.
I suspect that somehow something is left on and draining the battery even when the key has been removed and the display is dark. Faulty ignition switch? (body computer module does not know the key has been removed). Faulty shift mechanism? (body computer module does not know the shift lever is in park). Faulty body computer module/software? I don't know.
The second dead battery happened yesterday, right after 2 weeks of non-use while we were on vacation. This indicates to me that something may be causing a slow drain on the battery even when the car is in the garage and shut off. Monday it goes back to the dealer for another diagnostic check.