I have the same issue with my Lenovo Thinkpad T530.
No indicator lights on laptop (not above keyboard or on the lid) when plugged into A/C adaptor.
I have checked the adaptor and is working properly (have another T530).
I have removed battery and pressed power button 10 times and held power button for 30 seconds.
Plugged the A/C adaptor in and pressed power button, no-joy.
I have removed RAM, Hard Drive and ROM, and repeated above procedure.
Plugged the A/C adaptor in and pressed power button, no-joy.
I removed BIOS battery and repeated above procedure.
Plugged the A/C adaptor in and pressed power button, no-joy.