Battery wont charge

Have you tried to remove the battery and put it back in and try to turn it on. Try removing the battery and putting the charger in and starting the PSP. If it starts, it might be the battery. If it doesn't, it's either the plugin for the charger or the PSP is just dead. If it does start with the charger, try putting the battery back in, if it charges awesome. If it doesn't the battery might be dead.

Is it fully charged?

your batteries aren't charging fully, check them fully charged with a volt meter,, fully charged they should have a reading of 18.5 volts, if not they are not charging, and either the batteries have used up their life, or your charger is on its way out

Okay what happens sometimes is the charger gets into a feed back loop. What to do is remove the battery unplug the charger wait a few seconds (Maybe 20/30) plug the charger back into the outlet and then put the battery back in the charger. It should start to charge again and a few minutes later go to the blinking for full charge green.

It'll happen the other way as well meaning if the battery gets a memory (they say they don't but they do) you need to unplug the battery let is sit till it's cool and put it back on charge again. I've had this problem many times and have put it on charge and back off several times with in 15 minutes before it started to charge as it should.

Also these batteries do have a life span and if it's a three year old battery with many charges it could be failing meaning it just won't take a full charge.

If light is on charger the charge is fine. You could verify using voltmeter it should put out = to what it says on the back of charger 12-18 volts or so.
Most likely battery is shot after 8 years they just dont' hold a charge anymore and they often will only charge for a few minutes when the chip in the computer tells the charger to shut off due to defective battery.
compare prices of new drills and new batterys sometimes new drill is not much more. Try ebay and harbor freight for ultra low priced batteries.

It could be possible that 1 of your 2300 mAh AA battery is defective.
Try to charge only 2 2300 mAh batteries at a time to see if it can charge.

This happened to me too, you have to take your phone back to who you bought it from so they can repair it. Its the chip inside the phone that is bad. Not the charger.

the battery is bad and it won't charge all the way. Try another battery and it should charge all the way. If it does then you know the battery is bad. If the battery is bad then you know the main board is bad.

Two things could be your problem your battery could be over charged or your charger is no good take it to any store or cell phone place and let them test it

if u r machnanich open handset and put jump waire between charging tip to fuse`s next point , or if u r not repairer go to servise station or that shop from where u purchese it