Hi,
Here are some troubleshooting steps that may help.
- First is to test the AC adapter with out the battery.
- Remove the battery and plug in just the AC adapter and see if it will boot up.
- If it will boot up with no problem that means your AC adapter and charging ports are working fine.
- Next is to uninstall/reinstall the battery driver from Device Manager.
- If it will still not work, I would suggest replacing the battery itself.