Those cheaps can fail or cause machine damage. Get a real Dell unit and hope it works again. If not, there are all of 3 parts involved. Battery, motherboard (where the power is handled) and the adapter.
Sorry to see another failure like this. It's why I have no reservation on advising replacements with only the maker's adapters.
I have Del inspiron 1521 with Win 7. I lost my original power adapter so bought a universal one from Best Buy for $150. I was working fine. since it was expensive so I bought a replacement one online for like $10. it worked good for only 2 days. now it does not charge at all. but the universal one works but it does not charge i.e. once you take the power out the laptop turns off. i got to know that the universal one uses 90w but the laptop requires 65w. what could be the problem and how to fix it,