Are you buying genuine Asus batteries or the cheaper "knock offs"? I only buy geniune batteries for all laptops and usually do not have issues. If you post the exact model # from the battery here I can advise you on a genuine battery.
As oldPhil mentioned it would be worth checking the voltage of the power adapter to confirm it's output is correct. Usually they are between 19-20 volts. Any multimeter set to DC should work. The outside of the adapter end is usually negative or ground and the inside is positive.
Are you always wearing the battery completely dead? This is not needed nor recommended, I recommend re-charging a L-ion battery before the computer shuts off from low power. If you wear a lithium Ion battery completely dead and let it sit for a few months without charging it can sometimes cause the battery to fail or go to sleep permanently. When the voltage of a L-ion battery falls too low it disables itself (low voltage is nearly as bad as over voltage with L-ion batteries). I once did this to a mac battery that was nearly new, I did not use it for about 6 months and the battery was toast, it never charged again.
I have heard you can use a boost charger to wake up certain sleeping L-ion batteries, though I would never try because these batteries can cause fire etc.
Edited by zingo156, 03 March 2014 - 03:46 PM.