My usual "all day" use of this PSP is an average of 2-3 hours. Usually used when I have nothing to do, commuting, sitting and waiting for someone, lunch breaks, music listening, etc. I've played this PSP for a maximum of 6 hours in a day, with a car adaptor plugged in.
All 4 cells are wired in parallel, Each cell puts out 3.7V which is the same as the stock PSP's Li-Po battery. No risk of burned out circuits here.
The Li-Ion cells were pulled off a 9-cell laptop battery I had since 2004. When the cells were new, they have a capacity of 2200mAh per cell. [1] Of course, this has degraded over the years, but they still hold an impressive charge.
As of this writing, the PSP is still going on the 4-cell pack from it's first charge when I built it on May 17. On May 18, I went on volunteer service on University of Toronto's Asian Heritage with this PSP. I borrowed their wireless internet password with permission, fired up Internet Radio, switched off the backlight and listened for about 5-6 hours while volunteering. It lasted with 68% to spare.
Now, it's sitting here at the bed, playing music, backlight at full beam, music tracks randomized, and it keeps on going. It's been playing for more than four hours straight (4:03PM - 7:43PM) and the battery is going out.
Tonight, I will charge this PSP. Next morning I will point a webcam recording a time-lapse at it, set the backlight at full beam, play music again and prop a clock next to it so we can measure run-time.
Then, I will take FIVE more Li-Ion cells, merge them with the existing 4, and stick it on the PSP with Velcro. Then I'll check the runtime again.
EDIT: THE BATTERY IS DRAINED! 7:51PM.
The cells have the markings "ICR18650-20" and the manufacturer is Samsung. Closest I can find is:
http://www.samsungsdi.com/storage/batte ... 50-20F.jsp
[1] (The laptop battery as a whole is rated at 6600mAh on the sticker, the cells were wired in 3x3, so three 2200 mAh cells in parallel made up 6600mAh at 3.7V, and three of these parallelized cells in series made up 11.1V)