>>It sure looks like it thinks it is plugged in. You could have a bad charger or battery.
>
>This laptop is new. After I complained about the previous problems, they sent me a new additional power supply. I'm using the new one now, but I don't think the problem is in it.
>
>May be I need to re-start again :( I didn't re-start for a week or more...

Do you have the old power supply? If so, does it do the same thing with it?