Don't be cheap, don't get stuff that barely handles the rating, only to keep replacing every few times.
Yes it is supposedly rated for 15 amps BUT that is if everything is perfect.
Running for 8 hours straight is tearing the hell out of them too.
Get some good 12 ga extension cord. only as long as you need it. If you can get away with a 25 foot, then use it instead of a 50 foot. Personally Id run 10 but thats just me.
Also if you burnt the thing up a few times your plug is shot too, replace the receptacle as well and you should be good to go.
Aaron
EDIT: If you burnt up both sides of it, Id venture you boogered up the plug where you plug it into the charger as well. The heat will travel down the connectors and melt BOTH sides of it, the extension cord side, and the plug / plugin side as well.
Try to clean everything up as best as you can, make sure the connections are tight, and if you have to, turn the amps down a few. Plug it in, and check it every half hour for ahout 4 hours. That'll tell you if it's going to continue giving you problems or not. If it's really hot, turn the amps down a few. I have a feeling though that if you went thru several cords... and the one looks like the cord that plugs into the actual charger, then you got issues on the chargers plug as well that will need to be addressed