Proprietors of the Kindle Fire HD have remarked on various issues with the battery and charging. Some basically decline to charge, though others will charge just a division, and charge gradually.
You can try your own if your Kindle Fire HD won’t Charge
Kill your Kindle Fire HD, at that point charge for two or three hours. Attempt the charger with a substitute gadget to ensure that the link or charger isn't broken. In the event that the light to demonstrate charging does not show up, take a stab at pushing the link in further or moving it tenderly. Some Kindle Fire HD's have been found to have free ports. On the off chance that your port turns out to be free, you should contact Amazon to request a substitution.
Make a point to utilize the charger link that you got with your Kindle Fire HD.
Or can get in touch with Kindle experts: http://www.atsynch.com/support-for-kindle.html