Why is my psp not charging?

I found my original psp 1001, the battery that came with it would not charge. I recently purchased a battery pack from ifixit. I am having the issue that when I charge it within the psp, the amber light shows up now. Before with the original battery, I could not even get the amber light to show when plugged to the charger. Now, with the new battery, when I plug in the charger, it charges for a brief moment, sometimes maybe even 45 seconds to a minute then the light cuts off. I am trying to figure what is the issue, is it the psp, the charger, or the charging cord?